TSTP Solution File: NUM375+1.020 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM375+1.020 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:24:59 EDT 2023

% Result   : Unsatisfiable 1.43s 0.65s
% Output   : CNFRefutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   43
% Syntax   : Number of formulae    : 5822 ( 506 unt;   0 def)
%            Number of atoms       : 17718 (7245 equ)
%            Maximal formula atoms :  757 (   3 avg)
%            Number of connectives : 22557 (10661   ~;9706   |;2148   &)
%                                         (  42 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  721 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   44 (  42 usr;  43 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  24 con; 0-2 aty)
%            Number of variables   :    6 (;   0   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ? [X,Y,Z] :
      ( 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) = n16
      & succ(n16) = n17
      & succ(n17) = n18
      & succ(n18) = n19
      & succ(n19) = n20
      & succ(n20) = n0
      & pred(n0) = n20
      & 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
      & pred(n16) = n15
      & pred(n17) = n16
      & pred(n18) = n17
      & pred(n19) = n18
      & pred(n20) = n19
      & 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(n0,n16) = n16
      & sum(n0,n17) = n17
      & sum(n0,n18) = n18
      & sum(n0,n19) = n19
      & sum(n0,n20) = n20
      & 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) = n16
      & sum(n1,n16) = n17
      & sum(n1,n17) = n18
      & sum(n1,n18) = n19
      & sum(n1,n19) = n20
      & sum(n1,n20) = 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) = n16
      & sum(n2,n15) = n17
      & sum(n2,n16) = n18
      & sum(n2,n17) = n19
      & sum(n2,n18) = n20
      & sum(n2,n19) = n0
      & sum(n2,n20) = 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) = n16
      & sum(n3,n14) = n17
      & sum(n3,n15) = n18
      & sum(n3,n16) = n19
      & sum(n3,n17) = n20
      & sum(n3,n18) = n0
      & sum(n3,n19) = n1
      & sum(n3,n20) = 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) = n16
      & sum(n4,n13) = n17
      & sum(n4,n14) = n18
      & sum(n4,n15) = n19
      & sum(n4,n16) = n20
      & sum(n4,n17) = n0
      & sum(n4,n18) = n1
      & sum(n4,n19) = n2
      & sum(n4,n20) = 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) = n16
      & sum(n5,n12) = n17
      & sum(n5,n13) = n18
      & sum(n5,n14) = n19
      & sum(n5,n15) = n20
      & sum(n5,n16) = n0
      & sum(n5,n17) = n1
      & sum(n5,n18) = n2
      & sum(n5,n19) = n3
      & sum(n5,n20) = 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) = n16
      & sum(n6,n11) = n17
      & sum(n6,n12) = n18
      & sum(n6,n13) = n19
      & sum(n6,n14) = n20
      & sum(n6,n15) = n0
      & sum(n6,n16) = n1
      & sum(n6,n17) = n2
      & sum(n6,n18) = n3
      & sum(n6,n19) = n4
      & sum(n6,n20) = 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) = n16
      & sum(n7,n10) = n17
      & sum(n7,n11) = n18
      & sum(n7,n12) = n19
      & sum(n7,n13) = n20
      & sum(n7,n14) = n0
      & sum(n7,n15) = n1
      & sum(n7,n16) = n2
      & sum(n7,n17) = n3
      & sum(n7,n18) = n4
      & sum(n7,n19) = n5
      & sum(n7,n20) = 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) = n16
      & sum(n8,n9) = n17
      & sum(n8,n10) = n18
      & sum(n8,n11) = n19
      & sum(n8,n12) = n20
      & sum(n8,n13) = n0
      & sum(n8,n14) = n1
      & sum(n8,n15) = n2
      & sum(n8,n16) = n3
      & sum(n8,n17) = n4
      & sum(n8,n18) = n5
      & sum(n8,n19) = n6
      & sum(n8,n20) = 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) = n16
      & sum(n9,n8) = n17
      & sum(n9,n9) = n18
      & sum(n9,n10) = n19
      & sum(n9,n11) = n20
      & sum(n9,n12) = n0
      & sum(n9,n13) = n1
      & sum(n9,n14) = n2
      & sum(n9,n15) = n3
      & sum(n9,n16) = n4
      & sum(n9,n17) = n5
      & sum(n9,n18) = n6
      & sum(n9,n19) = n7
      & sum(n9,n20) = 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) = n16
      & sum(n10,n7) = n17
      & sum(n10,n8) = n18
      & sum(n10,n9) = n19
      & sum(n10,n10) = n20
      & sum(n10,n11) = n0
      & sum(n10,n12) = n1
      & sum(n10,n13) = n2
      & sum(n10,n14) = n3
      & sum(n10,n15) = n4
      & sum(n10,n16) = n5
      & sum(n10,n17) = n6
      & sum(n10,n18) = n7
      & sum(n10,n19) = n8
      & sum(n10,n20) = n9
      & sum(n11,n0) = n11
      & sum(n11,n1) = n12
      & sum(n11,n2) = n13
      & sum(n11,n3) = n14
      & sum(n11,n4) = n15
      & sum(n11,n5) = n16
      & sum(n11,n6) = n17
      & sum(n11,n7) = n18
      & sum(n11,n8) = n19
      & sum(n11,n9) = n20
      & sum(n11,n10) = n0
      & sum(n11,n11) = n1
      & sum(n11,n12) = n2
      & sum(n11,n13) = n3
      & sum(n11,n14) = n4
      & sum(n11,n15) = n5
      & sum(n11,n16) = n6
      & sum(n11,n17) = n7
      & sum(n11,n18) = n8
      & sum(n11,n19) = n9
      & sum(n11,n20) = n10
      & sum(n12,n0) = n12
      & sum(n12,n1) = n13
      & sum(n12,n2) = n14
      & sum(n12,n3) = n15
      & sum(n12,n4) = n16
      & sum(n12,n5) = n17
      & sum(n12,n6) = n18
      & sum(n12,n7) = n19
      & sum(n12,n8) = n20
      & sum(n12,n9) = n0
      & sum(n12,n10) = n1
      & sum(n12,n11) = n2
      & sum(n12,n12) = n3
      & sum(n12,n13) = n4
      & sum(n12,n14) = n5
      & sum(n12,n15) = n6
      & sum(n12,n16) = n7
      & sum(n12,n17) = n8
      & sum(n12,n18) = n9
      & sum(n12,n19) = n10
      & sum(n12,n20) = n11
      & sum(n13,n0) = n13
      & sum(n13,n1) = n14
      & sum(n13,n2) = n15
      & sum(n13,n3) = n16
      & sum(n13,n4) = n17
      & sum(n13,n5) = n18
      & sum(n13,n6) = n19
      & sum(n13,n7) = n20
      & sum(n13,n8) = n0
      & sum(n13,n9) = n1
      & sum(n13,n10) = n2
      & sum(n13,n11) = n3
      & sum(n13,n12) = n4
      & sum(n13,n13) = n5
      & sum(n13,n14) = n6
      & sum(n13,n15) = n7
      & sum(n13,n16) = n8
      & sum(n13,n17) = n9
      & sum(n13,n18) = n10
      & sum(n13,n19) = n11
      & sum(n13,n20) = n12
      & sum(n14,n0) = n14
      & sum(n14,n1) = n15
      & sum(n14,n2) = n16
      & sum(n14,n3) = n17
      & sum(n14,n4) = n18
      & sum(n14,n5) = n19
      & sum(n14,n6) = n20
      & sum(n14,n7) = n0
      & sum(n14,n8) = n1
      & sum(n14,n9) = n2
      & sum(n14,n10) = n3
      & sum(n14,n11) = n4
      & sum(n14,n12) = n5
      & sum(n14,n13) = n6
      & sum(n14,n14) = n7
      & sum(n14,n15) = n8
      & sum(n14,n16) = n9
      & sum(n14,n17) = n10
      & sum(n14,n18) = n11
      & sum(n14,n19) = n12
      & sum(n14,n20) = n13
      & sum(n15,n0) = n15
      & sum(n15,n1) = n16
      & sum(n15,n2) = n17
      & sum(n15,n3) = n18
      & sum(n15,n4) = n19
      & sum(n15,n5) = n20
      & sum(n15,n6) = n0
      & sum(n15,n7) = n1
      & sum(n15,n8) = n2
      & sum(n15,n9) = n3
      & sum(n15,n10) = n4
      & sum(n15,n11) = n5
      & sum(n15,n12) = n6
      & sum(n15,n13) = n7
      & sum(n15,n14) = n8
      & sum(n15,n15) = n9
      & sum(n15,n16) = n10
      & sum(n15,n17) = n11
      & sum(n15,n18) = n12
      & sum(n15,n19) = n13
      & sum(n15,n20) = n14
      & sum(n16,n0) = n16
      & sum(n16,n1) = n17
      & sum(n16,n2) = n18
      & sum(n16,n3) = n19
      & sum(n16,n4) = n20
      & sum(n16,n5) = n0
      & sum(n16,n6) = n1
      & sum(n16,n7) = n2
      & sum(n16,n8) = n3
      & sum(n16,n9) = n4
      & sum(n16,n10) = n5
      & sum(n16,n11) = n6
      & sum(n16,n12) = n7
      & sum(n16,n13) = n8
      & sum(n16,n14) = n9
      & sum(n16,n15) = n10
      & sum(n16,n16) = n11
      & sum(n16,n17) = n12
      & sum(n16,n18) = n13
      & sum(n16,n19) = n14
      & sum(n16,n20) = n15
      & sum(n17,n0) = n17
      & sum(n17,n1) = n18
      & sum(n17,n2) = n19
      & sum(n17,n3) = n20
      & sum(n17,n4) = n0
      & sum(n17,n5) = n1
      & sum(n17,n6) = n2
      & sum(n17,n7) = n3
      & sum(n17,n8) = n4
      & sum(n17,n9) = n5
      & sum(n17,n10) = n6
      & sum(n17,n11) = n7
      & sum(n17,n12) = n8
      & sum(n17,n13) = n9
      & sum(n17,n14) = n10
      & sum(n17,n15) = n11
      & sum(n17,n16) = n12
      & sum(n17,n17) = n13
      & sum(n17,n18) = n14
      & sum(n17,n19) = n15
      & sum(n17,n20) = n16
      & sum(n18,n0) = n18
      & sum(n18,n1) = n19
      & sum(n18,n2) = n20
      & sum(n18,n3) = n0
      & sum(n18,n4) = n1
      & sum(n18,n5) = n2
      & sum(n18,n6) = n3
      & sum(n18,n7) = n4
      & sum(n18,n8) = n5
      & sum(n18,n9) = n6
      & sum(n18,n10) = n7
      & sum(n18,n11) = n8
      & sum(n18,n12) = n9
      & sum(n18,n13) = n10
      & sum(n18,n14) = n11
      & sum(n18,n15) = n12
      & sum(n18,n16) = n13
      & sum(n18,n17) = n14
      & sum(n18,n18) = n15
      & sum(n18,n19) = n16
      & sum(n18,n20) = n17
      & sum(n19,n0) = n19
      & sum(n19,n1) = n20
      & sum(n19,n2) = n0
      & sum(n19,n3) = n1
      & sum(n19,n4) = n2
      & sum(n19,n5) = n3
      & sum(n19,n6) = n4
      & sum(n19,n7) = n5
      & sum(n19,n8) = n6
      & sum(n19,n9) = n7
      & sum(n19,n10) = n8
      & sum(n19,n11) = n9
      & sum(n19,n12) = n10
      & sum(n19,n13) = n11
      & sum(n19,n14) = n12
      & sum(n19,n15) = n13
      & sum(n19,n16) = n14
      & sum(n19,n17) = n15
      & sum(n19,n18) = n16
      & sum(n19,n19) = n17
      & sum(n19,n20) = n18
      & sum(n20,n0) = n20
      & sum(n20,n1) = n0
      & sum(n20,n2) = n1
      & sum(n20,n3) = n2
      & sum(n20,n4) = n3
      & sum(n20,n5) = n4
      & sum(n20,n6) = n5
      & sum(n20,n7) = n6
      & sum(n20,n8) = n7
      & sum(n20,n9) = n8
      & sum(n20,n10) = n9
      & sum(n20,n11) = n10
      & sum(n20,n12) = n11
      & sum(n20,n13) = n12
      & sum(n20,n14) = n13
      & sum(n20,n15) = n14
      & sum(n20,n16) = n15
      & sum(n20,n17) = n16
      & sum(n20,n18) = n17
      & sum(n20,n19) = n18
      & sum(n20,n20) = n19
      & ( 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
        | X = n16
        | X = n17
        | X = n18
        | X = n19
        | X = n20 )
      & ( 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
        | Y = n16
        | Y = n17
        | Y = n18
        | Y = n19
        | Y = n20 )
      & Z = sum(pred(sum(X,succ(Y))),sum(Y,pred(sum(X,Y))))
      & Z != n0
      & Z != n1
      & Z != n2
      & Z != n3
      & Z != n4
      & Z != n5
      & Z != n6
      & Z != n7
      & Z != n8
      & Z != n9
      & Z != n10
      & Z != n11
      & Z != n12
      & Z != n13
      & Z != n14
      & Z != n15
      & Z != n16
      & Z != n17
      & Z != n18
      & Z != n19
      & Z != n20
      & 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
      & n0 != n16
      & n0 != n17
      & n0 != n18
      & n0 != n19
      & n0 != n20
      & 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
      & n1 != n16
      & n1 != n17
      & n1 != n18
      & n1 != n19
      & n1 != n20
      & 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
      & n2 != n16
      & n2 != n17
      & n2 != n18
      & n2 != n19
      & n2 != n20
      & n3 != n4
      & n3 != n5
      & n3 != n6
      & n3 != n7
      & n3 != n8
      & n3 != n9
      & n3 != n10
      & n3 != n11
      & n3 != n12
      & n3 != n13
      & n3 != n14
      & n3 != n15
      & n3 != n16
      & n3 != n17
      & n3 != n18
      & n3 != n19
      & n3 != n20
      & n4 != n5
      & n4 != n6
      & n4 != n7
      & n4 != n8
      & n4 != n9
      & n4 != n10
      & n4 != n11
      & n4 != n12
      & n4 != n13
      & n4 != n14
      & n4 != n15
      & n4 != n16
      & n4 != n17
      & n4 != n18
      & n4 != n19
      & n4 != n20
      & n5 != n6
      & n5 != n7
      & n5 != n8
      & n5 != n9
      & n5 != n10
      & n5 != n11
      & n5 != n12
      & n5 != n13
      & n5 != n14
      & n5 != n15
      & n5 != n16
      & n5 != n17
      & n5 != n18
      & n5 != n19
      & n5 != n20
      & n6 != n7
      & n6 != n8
      & n6 != n9
      & n6 != n10
      & n6 != n11
      & n6 != n12
      & n6 != n13
      & n6 != n14
      & n6 != n15
      & n6 != n16
      & n6 != n17
      & n6 != n18
      & n6 != n19
      & n6 != n20
      & n7 != n8
      & n7 != n9
      & n7 != n10
      & n7 != n11
      & n7 != n12
      & n7 != n13
      & n7 != n14
      & n7 != n15
      & n7 != n16
      & n7 != n17
      & n7 != n18
      & n7 != n19
      & n7 != n20
      & n8 != n9
      & n8 != n10
      & n8 != n11
      & n8 != n12
      & n8 != n13
      & n8 != n14
      & n8 != n15
      & n8 != n16
      & n8 != n17
      & n8 != n18
      & n8 != n19
      & n8 != n20
      & n9 != n10
      & n9 != n11
      & n9 != n12
      & n9 != n13
      & n9 != n14
      & n9 != n15
      & n9 != n16
      & n9 != n17
      & n9 != n18
      & n9 != n19
      & n9 != n20
      & n10 != n11
      & n10 != n12
      & n10 != n13
      & n10 != n14
      & n10 != n15
      & n10 != n16
      & n10 != n17
      & n10 != n18
      & n10 != n19
      & n10 != n20
      & n11 != n12
      & n11 != n13
      & n11 != n14
      & n11 != n15
      & n11 != n16
      & n11 != n17
      & n11 != n18
      & n11 != n19
      & n11 != n20
      & n12 != n13
      & n12 != n14
      & n12 != n15
      & n12 != n16
      & n12 != n17
      & n12 != n18
      & n12 != n19
      & n12 != n20
      & n13 != n14
      & n13 != n15
      & n13 != n16
      & n13 != n17
      & n13 != n18
      & n13 != n19
      & n13 != n20
      & n14 != n15
      & n14 != n16
      & n14 != n17
      & n14 != n18
      & n14 != n19
      & n14 != n20
      & n15 != n16
      & n15 != n17
      & n15 != n18
      & n15 != n19
      & n15 != n20
      & n16 != n17
      & n16 != n18
      & n16 != n19
      & n16 != n20
      & n17 != n18
      & n17 != n19
      & n17 != n20
      & n18 != n19
      & n18 != n20
      & n19 != n20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,plain,
    ( ? [Z] :
        ( ? [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) = n16
            & succ(n16) = n17
            & succ(n17) = n18
            & succ(n18) = n19
            & succ(n19) = n20
            & succ(n20) = n0
            & pred(n0) = n20
            & 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
            & pred(n16) = n15
            & pred(n17) = n16
            & pred(n18) = n17
            & pred(n19) = n18
            & pred(n20) = n19
            & 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(n0,n16) = n16
            & sum(n0,n17) = n17
            & sum(n0,n18) = n18
            & sum(n0,n19) = n19
            & sum(n0,n20) = n20
            & 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) = n16
            & sum(n1,n16) = n17
            & sum(n1,n17) = n18
            & sum(n1,n18) = n19
            & sum(n1,n19) = n20
            & sum(n1,n20) = 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) = n16
            & sum(n2,n15) = n17
            & sum(n2,n16) = n18
            & sum(n2,n17) = n19
            & sum(n2,n18) = n20
            & sum(n2,n19) = n0
            & sum(n2,n20) = 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) = n16
            & sum(n3,n14) = n17
            & sum(n3,n15) = n18
            & sum(n3,n16) = n19
            & sum(n3,n17) = n20
            & sum(n3,n18) = n0
            & sum(n3,n19) = n1
            & sum(n3,n20) = 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) = n16
            & sum(n4,n13) = n17
            & sum(n4,n14) = n18
            & sum(n4,n15) = n19
            & sum(n4,n16) = n20
            & sum(n4,n17) = n0
            & sum(n4,n18) = n1
            & sum(n4,n19) = n2
            & sum(n4,n20) = 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) = n16
            & sum(n5,n12) = n17
            & sum(n5,n13) = n18
            & sum(n5,n14) = n19
            & sum(n5,n15) = n20
            & sum(n5,n16) = n0
            & sum(n5,n17) = n1
            & sum(n5,n18) = n2
            & sum(n5,n19) = n3
            & sum(n5,n20) = 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) = n16
            & sum(n6,n11) = n17
            & sum(n6,n12) = n18
            & sum(n6,n13) = n19
            & sum(n6,n14) = n20
            & sum(n6,n15) = n0
            & sum(n6,n16) = n1
            & sum(n6,n17) = n2
            & sum(n6,n18) = n3
            & sum(n6,n19) = n4
            & sum(n6,n20) = 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) = n16
            & sum(n7,n10) = n17
            & sum(n7,n11) = n18
            & sum(n7,n12) = n19
            & sum(n7,n13) = n20
            & sum(n7,n14) = n0
            & sum(n7,n15) = n1
            & sum(n7,n16) = n2
            & sum(n7,n17) = n3
            & sum(n7,n18) = n4
            & sum(n7,n19) = n5
            & sum(n7,n20) = 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) = n16
            & sum(n8,n9) = n17
            & sum(n8,n10) = n18
            & sum(n8,n11) = n19
            & sum(n8,n12) = n20
            & sum(n8,n13) = n0
            & sum(n8,n14) = n1
            & sum(n8,n15) = n2
            & sum(n8,n16) = n3
            & sum(n8,n17) = n4
            & sum(n8,n18) = n5
            & sum(n8,n19) = n6
            & sum(n8,n20) = 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) = n16
            & sum(n9,n8) = n17
            & sum(n9,n9) = n18
            & sum(n9,n10) = n19
            & sum(n9,n11) = n20
            & sum(n9,n12) = n0
            & sum(n9,n13) = n1
            & sum(n9,n14) = n2
            & sum(n9,n15) = n3
            & sum(n9,n16) = n4
            & sum(n9,n17) = n5
            & sum(n9,n18) = n6
            & sum(n9,n19) = n7
            & sum(n9,n20) = 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) = n16
            & sum(n10,n7) = n17
            & sum(n10,n8) = n18
            & sum(n10,n9) = n19
            & sum(n10,n10) = n20
            & sum(n10,n11) = n0
            & sum(n10,n12) = n1
            & sum(n10,n13) = n2
            & sum(n10,n14) = n3
            & sum(n10,n15) = n4
            & sum(n10,n16) = n5
            & sum(n10,n17) = n6
            & sum(n10,n18) = n7
            & sum(n10,n19) = n8
            & sum(n10,n20) = n9
            & sum(n11,n0) = n11
            & sum(n11,n1) = n12
            & sum(n11,n2) = n13
            & sum(n11,n3) = n14
            & sum(n11,n4) = n15
            & sum(n11,n5) = n16
            & sum(n11,n6) = n17
            & sum(n11,n7) = n18
            & sum(n11,n8) = n19
            & sum(n11,n9) = n20
            & sum(n11,n10) = n0
            & sum(n11,n11) = n1
            & sum(n11,n12) = n2
            & sum(n11,n13) = n3
            & sum(n11,n14) = n4
            & sum(n11,n15) = n5
            & sum(n11,n16) = n6
            & sum(n11,n17) = n7
            & sum(n11,n18) = n8
            & sum(n11,n19) = n9
            & sum(n11,n20) = n10
            & sum(n12,n0) = n12
            & sum(n12,n1) = n13
            & sum(n12,n2) = n14
            & sum(n12,n3) = n15
            & sum(n12,n4) = n16
            & sum(n12,n5) = n17
            & sum(n12,n6) = n18
            & sum(n12,n7) = n19
            & sum(n12,n8) = n20
            & sum(n12,n9) = n0
            & sum(n12,n10) = n1
            & sum(n12,n11) = n2
            & sum(n12,n12) = n3
            & sum(n12,n13) = n4
            & sum(n12,n14) = n5
            & sum(n12,n15) = n6
            & sum(n12,n16) = n7
            & sum(n12,n17) = n8
            & sum(n12,n18) = n9
            & sum(n12,n19) = n10
            & sum(n12,n20) = n11
            & sum(n13,n0) = n13
            & sum(n13,n1) = n14
            & sum(n13,n2) = n15
            & sum(n13,n3) = n16
            & sum(n13,n4) = n17
            & sum(n13,n5) = n18
            & sum(n13,n6) = n19
            & sum(n13,n7) = n20
            & sum(n13,n8) = n0
            & sum(n13,n9) = n1
            & sum(n13,n10) = n2
            & sum(n13,n11) = n3
            & sum(n13,n12) = n4
            & sum(n13,n13) = n5
            & sum(n13,n14) = n6
            & sum(n13,n15) = n7
            & sum(n13,n16) = n8
            & sum(n13,n17) = n9
            & sum(n13,n18) = n10
            & sum(n13,n19) = n11
            & sum(n13,n20) = n12
            & sum(n14,n0) = n14
            & sum(n14,n1) = n15
            & sum(n14,n2) = n16
            & sum(n14,n3) = n17
            & sum(n14,n4) = n18
            & sum(n14,n5) = n19
            & sum(n14,n6) = n20
            & sum(n14,n7) = n0
            & sum(n14,n8) = n1
            & sum(n14,n9) = n2
            & sum(n14,n10) = n3
            & sum(n14,n11) = n4
            & sum(n14,n12) = n5
            & sum(n14,n13) = n6
            & sum(n14,n14) = n7
            & sum(n14,n15) = n8
            & sum(n14,n16) = n9
            & sum(n14,n17) = n10
            & sum(n14,n18) = n11
            & sum(n14,n19) = n12
            & sum(n14,n20) = n13
            & sum(n15,n0) = n15
            & sum(n15,n1) = n16
            & sum(n15,n2) = n17
            & sum(n15,n3) = n18
            & sum(n15,n4) = n19
            & sum(n15,n5) = n20
            & sum(n15,n6) = n0
            & sum(n15,n7) = n1
            & sum(n15,n8) = n2
            & sum(n15,n9) = n3
            & sum(n15,n10) = n4
            & sum(n15,n11) = n5
            & sum(n15,n12) = n6
            & sum(n15,n13) = n7
            & sum(n15,n14) = n8
            & sum(n15,n15) = n9
            & sum(n15,n16) = n10
            & sum(n15,n17) = n11
            & sum(n15,n18) = n12
            & sum(n15,n19) = n13
            & sum(n15,n20) = n14
            & sum(n16,n0) = n16
            & sum(n16,n1) = n17
            & sum(n16,n2) = n18
            & sum(n16,n3) = n19
            & sum(n16,n4) = n20
            & sum(n16,n5) = n0
            & sum(n16,n6) = n1
            & sum(n16,n7) = n2
            & sum(n16,n8) = n3
            & sum(n16,n9) = n4
            & sum(n16,n10) = n5
            & sum(n16,n11) = n6
            & sum(n16,n12) = n7
            & sum(n16,n13) = n8
            & sum(n16,n14) = n9
            & sum(n16,n15) = n10
            & sum(n16,n16) = n11
            & sum(n16,n17) = n12
            & sum(n16,n18) = n13
            & sum(n16,n19) = n14
            & sum(n16,n20) = n15
            & sum(n17,n0) = n17
            & sum(n17,n1) = n18
            & sum(n17,n2) = n19
            & sum(n17,n3) = n20
            & sum(n17,n4) = n0
            & sum(n17,n5) = n1
            & sum(n17,n6) = n2
            & sum(n17,n7) = n3
            & sum(n17,n8) = n4
            & sum(n17,n9) = n5
            & sum(n17,n10) = n6
            & sum(n17,n11) = n7
            & sum(n17,n12) = n8
            & sum(n17,n13) = n9
            & sum(n17,n14) = n10
            & sum(n17,n15) = n11
            & sum(n17,n16) = n12
            & sum(n17,n17) = n13
            & sum(n17,n18) = n14
            & sum(n17,n19) = n15
            & sum(n17,n20) = n16
            & sum(n18,n0) = n18
            & sum(n18,n1) = n19
            & sum(n18,n2) = n20
            & sum(n18,n3) = n0
            & sum(n18,n4) = n1
            & sum(n18,n5) = n2
            & sum(n18,n6) = n3
            & sum(n18,n7) = n4
            & sum(n18,n8) = n5
            & sum(n18,n9) = n6
            & sum(n18,n10) = n7
            & sum(n18,n11) = n8
            & sum(n18,n12) = n9
            & sum(n18,n13) = n10
            & sum(n18,n14) = n11
            & sum(n18,n15) = n12
            & sum(n18,n16) = n13
            & sum(n18,n17) = n14
            & sum(n18,n18) = n15
            & sum(n18,n19) = n16
            & sum(n18,n20) = n17
            & sum(n19,n0) = n19
            & sum(n19,n1) = n20
            & sum(n19,n2) = n0
            & sum(n19,n3) = n1
            & sum(n19,n4) = n2
            & sum(n19,n5) = n3
            & sum(n19,n6) = n4
            & sum(n19,n7) = n5
            & sum(n19,n8) = n6
            & sum(n19,n9) = n7
            & sum(n19,n10) = n8
            & sum(n19,n11) = n9
            & sum(n19,n12) = n10
            & sum(n19,n13) = n11
            & sum(n19,n14) = n12
            & sum(n19,n15) = n13
            & sum(n19,n16) = n14
            & sum(n19,n17) = n15
            & sum(n19,n18) = n16
            & sum(n19,n19) = n17
            & sum(n19,n20) = n18
            & sum(n20,n0) = n20
            & sum(n20,n1) = n0
            & sum(n20,n2) = n1
            & sum(n20,n3) = n2
            & sum(n20,n4) = n3
            & sum(n20,n5) = n4
            & sum(n20,n6) = n5
            & sum(n20,n7) = n6
            & sum(n20,n8) = n7
            & sum(n20,n9) = n8
            & sum(n20,n10) = n9
            & sum(n20,n11) = n10
            & sum(n20,n12) = n11
            & sum(n20,n13) = n12
            & sum(n20,n14) = n13
            & sum(n20,n15) = n14
            & sum(n20,n16) = n15
            & sum(n20,n17) = n16
            & sum(n20,n18) = n17
            & sum(n20,n19) = n18
            & sum(n20,n20) = n19
            & ( 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
              | X = n16
              | X = n17
              | X = n18
              | X = n19
              | X = n20 )
            & ( 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
              | Y = n16
              | Y = n17
              | Y = n18
              | Y = n19
              | Y = n20 )
            & Z = sum(pred(sum(X,succ(Y))),sum(Y,pred(sum(X,Y)))) )
        & Z != n0
        & Z != n1
        & Z != n2
        & Z != n3
        & Z != n4
        & Z != n5
        & Z != n6
        & Z != n7
        & Z != n8
        & Z != n9
        & Z != n10
        & Z != n11
        & Z != n12
        & Z != n13
        & Z != n14
        & Z != n15
        & Z != n16
        & Z != n17
        & Z != n18
        & Z != n19
        & Z != n20 )
    & 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
    & n0 != n16
    & n0 != n17
    & n0 != n18
    & n0 != n19
    & n0 != n20
    & 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
    & n1 != n16
    & n1 != n17
    & n1 != n18
    & n1 != n19
    & n1 != n20
    & 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
    & n2 != n16
    & n2 != n17
    & n2 != n18
    & n2 != n19
    & n2 != n20
    & n3 != n4
    & n3 != n5
    & n3 != n6
    & n3 != n7
    & n3 != n8
    & n3 != n9
    & n3 != n10
    & n3 != n11
    & n3 != n12
    & n3 != n13
    & n3 != n14
    & n3 != n15
    & n3 != n16
    & n3 != n17
    & n3 != n18
    & n3 != n19
    & n3 != n20
    & n4 != n5
    & n4 != n6
    & n4 != n7
    & n4 != n8
    & n4 != n9
    & n4 != n10
    & n4 != n11
    & n4 != n12
    & n4 != n13
    & n4 != n14
    & n4 != n15
    & n4 != n16
    & n4 != n17
    & n4 != n18
    & n4 != n19
    & n4 != n20
    & n5 != n6
    & n5 != n7
    & n5 != n8
    & n5 != n9
    & n5 != n10
    & n5 != n11
    & n5 != n12
    & n5 != n13
    & n5 != n14
    & n5 != n15
    & n5 != n16
    & n5 != n17
    & n5 != n18
    & n5 != n19
    & n5 != n20
    & n6 != n7
    & n6 != n8
    & n6 != n9
    & n6 != n10
    & n6 != n11
    & n6 != n12
    & n6 != n13
    & n6 != n14
    & n6 != n15
    & n6 != n16
    & n6 != n17
    & n6 != n18
    & n6 != n19
    & n6 != n20
    & n7 != n8
    & n7 != n9
    & n7 != n10
    & n7 != n11
    & n7 != n12
    & n7 != n13
    & n7 != n14
    & n7 != n15
    & n7 != n16
    & n7 != n17
    & n7 != n18
    & n7 != n19
    & n7 != n20
    & n8 != n9
    & n8 != n10
    & n8 != n11
    & n8 != n12
    & n8 != n13
    & n8 != n14
    & n8 != n15
    & n8 != n16
    & n8 != n17
    & n8 != n18
    & n8 != n19
    & n8 != n20
    & n9 != n10
    & n9 != n11
    & n9 != n12
    & n9 != n13
    & n9 != n14
    & n9 != n15
    & n9 != n16
    & n9 != n17
    & n9 != n18
    & n9 != n19
    & n9 != n20
    & n10 != n11
    & n10 != n12
    & n10 != n13
    & n10 != n14
    & n10 != n15
    & n10 != n16
    & n10 != n17
    & n10 != n18
    & n10 != n19
    & n10 != n20
    & n11 != n12
    & n11 != n13
    & n11 != n14
    & n11 != n15
    & n11 != n16
    & n11 != n17
    & n11 != n18
    & n11 != n19
    & n11 != n20
    & n12 != n13
    & n12 != n14
    & n12 != n15
    & n12 != n16
    & n12 != n17
    & n12 != n18
    & n12 != n19
    & n12 != n20
    & n13 != n14
    & n13 != n15
    & n13 != n16
    & n13 != n17
    & n13 != n18
    & n13 != n19
    & n13 != n20
    & n14 != n15
    & n14 != n16
    & n14 != n17
    & n14 != n18
    & n14 != n19
    & n14 != n20
    & n15 != n16
    & n15 != n17
    & n15 != n18
    & n15 != n19
    & n15 != n20
    & n16 != n17
    & n16 != n18
    & n16 != n19
    & n16 != n20
    & n17 != n18
    & n17 != n19
    & n17 != n20
    & n18 != n19
    & n18 != n20
    & n19 != n20 ),
    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) = n16
    & succ(n16) = n17
    & succ(n17) = n18
    & succ(n18) = n19
    & succ(n19) = n20
    & succ(n20) = n0
    & pred(n0) = n20
    & 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
    & pred(n16) = n15
    & pred(n17) = n16
    & pred(n18) = n17
    & pred(n19) = n18
    & pred(n20) = n19
    & 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(n0,n16) = n16
    & sum(n0,n17) = n17
    & sum(n0,n18) = n18
    & sum(n0,n19) = n19
    & sum(n0,n20) = n20
    & 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) = n16
    & sum(n1,n16) = n17
    & sum(n1,n17) = n18
    & sum(n1,n18) = n19
    & sum(n1,n19) = n20
    & sum(n1,n20) = 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) = n16
    & sum(n2,n15) = n17
    & sum(n2,n16) = n18
    & sum(n2,n17) = n19
    & sum(n2,n18) = n20
    & sum(n2,n19) = n0
    & sum(n2,n20) = 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) = n16
    & sum(n3,n14) = n17
    & sum(n3,n15) = n18
    & sum(n3,n16) = n19
    & sum(n3,n17) = n20
    & sum(n3,n18) = n0
    & sum(n3,n19) = n1
    & sum(n3,n20) = 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) = n16
    & sum(n4,n13) = n17
    & sum(n4,n14) = n18
    & sum(n4,n15) = n19
    & sum(n4,n16) = n20
    & sum(n4,n17) = n0
    & sum(n4,n18) = n1
    & sum(n4,n19) = n2
    & sum(n4,n20) = 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) = n16
    & sum(n5,n12) = n17
    & sum(n5,n13) = n18
    & sum(n5,n14) = n19
    & sum(n5,n15) = n20
    & sum(n5,n16) = n0
    & sum(n5,n17) = n1
    & sum(n5,n18) = n2
    & sum(n5,n19) = n3
    & sum(n5,n20) = 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) = n16
    & sum(n6,n11) = n17
    & sum(n6,n12) = n18
    & sum(n6,n13) = n19
    & sum(n6,n14) = n20
    & sum(n6,n15) = n0
    & sum(n6,n16) = n1
    & sum(n6,n17) = n2
    & sum(n6,n18) = n3
    & sum(n6,n19) = n4
    & sum(n6,n20) = 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) = n16
    & sum(n7,n10) = n17
    & sum(n7,n11) = n18
    & sum(n7,n12) = n19
    & sum(n7,n13) = n20
    & sum(n7,n14) = n0
    & sum(n7,n15) = n1
    & sum(n7,n16) = n2
    & sum(n7,n17) = n3
    & sum(n7,n18) = n4
    & sum(n7,n19) = n5
    & sum(n7,n20) = 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) = n16
    & sum(n8,n9) = n17
    & sum(n8,n10) = n18
    & sum(n8,n11) = n19
    & sum(n8,n12) = n20
    & sum(n8,n13) = n0
    & sum(n8,n14) = n1
    & sum(n8,n15) = n2
    & sum(n8,n16) = n3
    & sum(n8,n17) = n4
    & sum(n8,n18) = n5
    & sum(n8,n19) = n6
    & sum(n8,n20) = 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) = n16
    & sum(n9,n8) = n17
    & sum(n9,n9) = n18
    & sum(n9,n10) = n19
    & sum(n9,n11) = n20
    & sum(n9,n12) = n0
    & sum(n9,n13) = n1
    & sum(n9,n14) = n2
    & sum(n9,n15) = n3
    & sum(n9,n16) = n4
    & sum(n9,n17) = n5
    & sum(n9,n18) = n6
    & sum(n9,n19) = n7
    & sum(n9,n20) = 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) = n16
    & sum(n10,n7) = n17
    & sum(n10,n8) = n18
    & sum(n10,n9) = n19
    & sum(n10,n10) = n20
    & sum(n10,n11) = n0
    & sum(n10,n12) = n1
    & sum(n10,n13) = n2
    & sum(n10,n14) = n3
    & sum(n10,n15) = n4
    & sum(n10,n16) = n5
    & sum(n10,n17) = n6
    & sum(n10,n18) = n7
    & sum(n10,n19) = n8
    & sum(n10,n20) = n9
    & sum(n11,n0) = n11
    & sum(n11,n1) = n12
    & sum(n11,n2) = n13
    & sum(n11,n3) = n14
    & sum(n11,n4) = n15
    & sum(n11,n5) = n16
    & sum(n11,n6) = n17
    & sum(n11,n7) = n18
    & sum(n11,n8) = n19
    & sum(n11,n9) = n20
    & sum(n11,n10) = n0
    & sum(n11,n11) = n1
    & sum(n11,n12) = n2
    & sum(n11,n13) = n3
    & sum(n11,n14) = n4
    & sum(n11,n15) = n5
    & sum(n11,n16) = n6
    & sum(n11,n17) = n7
    & sum(n11,n18) = n8
    & sum(n11,n19) = n9
    & sum(n11,n20) = n10
    & sum(n12,n0) = n12
    & sum(n12,n1) = n13
    & sum(n12,n2) = n14
    & sum(n12,n3) = n15
    & sum(n12,n4) = n16
    & sum(n12,n5) = n17
    & sum(n12,n6) = n18
    & sum(n12,n7) = n19
    & sum(n12,n8) = n20
    & sum(n12,n9) = n0
    & sum(n12,n10) = n1
    & sum(n12,n11) = n2
    & sum(n12,n12) = n3
    & sum(n12,n13) = n4
    & sum(n12,n14) = n5
    & sum(n12,n15) = n6
    & sum(n12,n16) = n7
    & sum(n12,n17) = n8
    & sum(n12,n18) = n9
    & sum(n12,n19) = n10
    & sum(n12,n20) = n11
    & sum(n13,n0) = n13
    & sum(n13,n1) = n14
    & sum(n13,n2) = n15
    & sum(n13,n3) = n16
    & sum(n13,n4) = n17
    & sum(n13,n5) = n18
    & sum(n13,n6) = n19
    & sum(n13,n7) = n20
    & sum(n13,n8) = n0
    & sum(n13,n9) = n1
    & sum(n13,n10) = n2
    & sum(n13,n11) = n3
    & sum(n13,n12) = n4
    & sum(n13,n13) = n5
    & sum(n13,n14) = n6
    & sum(n13,n15) = n7
    & sum(n13,n16) = n8
    & sum(n13,n17) = n9
    & sum(n13,n18) = n10
    & sum(n13,n19) = n11
    & sum(n13,n20) = n12
    & sum(n14,n0) = n14
    & sum(n14,n1) = n15
    & sum(n14,n2) = n16
    & sum(n14,n3) = n17
    & sum(n14,n4) = n18
    & sum(n14,n5) = n19
    & sum(n14,n6) = n20
    & sum(n14,n7) = n0
    & sum(n14,n8) = n1
    & sum(n14,n9) = n2
    & sum(n14,n10) = n3
    & sum(n14,n11) = n4
    & sum(n14,n12) = n5
    & sum(n14,n13) = n6
    & sum(n14,n14) = n7
    & sum(n14,n15) = n8
    & sum(n14,n16) = n9
    & sum(n14,n17) = n10
    & sum(n14,n18) = n11
    & sum(n14,n19) = n12
    & sum(n14,n20) = n13
    & sum(n15,n0) = n15
    & sum(n15,n1) = n16
    & sum(n15,n2) = n17
    & sum(n15,n3) = n18
    & sum(n15,n4) = n19
    & sum(n15,n5) = n20
    & sum(n15,n6) = n0
    & sum(n15,n7) = n1
    & sum(n15,n8) = n2
    & sum(n15,n9) = n3
    & sum(n15,n10) = n4
    & sum(n15,n11) = n5
    & sum(n15,n12) = n6
    & sum(n15,n13) = n7
    & sum(n15,n14) = n8
    & sum(n15,n15) = n9
    & sum(n15,n16) = n10
    & sum(n15,n17) = n11
    & sum(n15,n18) = n12
    & sum(n15,n19) = n13
    & sum(n15,n20) = n14
    & sum(n16,n0) = n16
    & sum(n16,n1) = n17
    & sum(n16,n2) = n18
    & sum(n16,n3) = n19
    & sum(n16,n4) = n20
    & sum(n16,n5) = n0
    & sum(n16,n6) = n1
    & sum(n16,n7) = n2
    & sum(n16,n8) = n3
    & sum(n16,n9) = n4
    & sum(n16,n10) = n5
    & sum(n16,n11) = n6
    & sum(n16,n12) = n7
    & sum(n16,n13) = n8
    & sum(n16,n14) = n9
    & sum(n16,n15) = n10
    & sum(n16,n16) = n11
    & sum(n16,n17) = n12
    & sum(n16,n18) = n13
    & sum(n16,n19) = n14
    & sum(n16,n20) = n15
    & sum(n17,n0) = n17
    & sum(n17,n1) = n18
    & sum(n17,n2) = n19
    & sum(n17,n3) = n20
    & sum(n17,n4) = n0
    & sum(n17,n5) = n1
    & sum(n17,n6) = n2
    & sum(n17,n7) = n3
    & sum(n17,n8) = n4
    & sum(n17,n9) = n5
    & sum(n17,n10) = n6
    & sum(n17,n11) = n7
    & sum(n17,n12) = n8
    & sum(n17,n13) = n9
    & sum(n17,n14) = n10
    & sum(n17,n15) = n11
    & sum(n17,n16) = n12
    & sum(n17,n17) = n13
    & sum(n17,n18) = n14
    & sum(n17,n19) = n15
    & sum(n17,n20) = n16
    & sum(n18,n0) = n18
    & sum(n18,n1) = n19
    & sum(n18,n2) = n20
    & sum(n18,n3) = n0
    & sum(n18,n4) = n1
    & sum(n18,n5) = n2
    & sum(n18,n6) = n3
    & sum(n18,n7) = n4
    & sum(n18,n8) = n5
    & sum(n18,n9) = n6
    & sum(n18,n10) = n7
    & sum(n18,n11) = n8
    & sum(n18,n12) = n9
    & sum(n18,n13) = n10
    & sum(n18,n14) = n11
    & sum(n18,n15) = n12
    & sum(n18,n16) = n13
    & sum(n18,n17) = n14
    & sum(n18,n18) = n15
    & sum(n18,n19) = n16
    & sum(n18,n20) = n17
    & sum(n19,n0) = n19
    & sum(n19,n1) = n20
    & sum(n19,n2) = n0
    & sum(n19,n3) = n1
    & sum(n19,n4) = n2
    & sum(n19,n5) = n3
    & sum(n19,n6) = n4
    & sum(n19,n7) = n5
    & sum(n19,n8) = n6
    & sum(n19,n9) = n7
    & sum(n19,n10) = n8
    & sum(n19,n11) = n9
    & sum(n19,n12) = n10
    & sum(n19,n13) = n11
    & sum(n19,n14) = n12
    & sum(n19,n15) = n13
    & sum(n19,n16) = n14
    & sum(n19,n17) = n15
    & sum(n19,n18) = n16
    & sum(n19,n19) = n17
    & sum(n19,n20) = n18
    & sum(n20,n0) = n20
    & sum(n20,n1) = n0
    & sum(n20,n2) = n1
    & sum(n20,n3) = n2
    & sum(n20,n4) = n3
    & sum(n20,n5) = n4
    & sum(n20,n6) = n5
    & sum(n20,n7) = n6
    & sum(n20,n8) = n7
    & sum(n20,n9) = n8
    & sum(n20,n10) = n9
    & sum(n20,n11) = n10
    & sum(n20,n12) = n11
    & sum(n20,n13) = n12
    & sum(n20,n14) = n13
    & sum(n20,n15) = n14
    & sum(n20,n16) = n15
    & sum(n20,n17) = n16
    & sum(n20,n18) = n17
    & sum(n20,n19) = n18
    & sum(n20,n20) = n19
    & ( 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
      | sk0_1 = n16
      | sk0_1 = n17
      | sk0_1 = n18
      | sk0_1 = n19
      | sk0_1 = n20 )
    & ( sk0_2 = n0
      | sk0_2 = n1
      | sk0_2 = n2
      | sk0_2 = n3
      | sk0_2 = n4
      | sk0_2 = n5
      | sk0_2 = n6
      | sk0_2 = n7
      | sk0_2 = n8
      | sk0_2 = n9
      | sk0_2 = n10
      | sk0_2 = n11
      | sk0_2 = n12
      | sk0_2 = n13
      | sk0_2 = n14
      | sk0_2 = n15
      | sk0_2 = n16
      | sk0_2 = n17
      | sk0_2 = n18
      | sk0_2 = n19
      | sk0_2 = n20 )
    & sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    & 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_0 != n16
    & sk0_0 != n17
    & sk0_0 != n18
    & sk0_0 != n19
    & sk0_0 != n20
    & 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
    & n0 != n16
    & n0 != n17
    & n0 != n18
    & n0 != n19
    & n0 != n20
    & 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
    & n1 != n16
    & n1 != n17
    & n1 != n18
    & n1 != n19
    & n1 != n20
    & 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
    & n2 != n16
    & n2 != n17
    & n2 != n18
    & n2 != n19
    & n2 != n20
    & n3 != n4
    & n3 != n5
    & n3 != n6
    & n3 != n7
    & n3 != n8
    & n3 != n9
    & n3 != n10
    & n3 != n11
    & n3 != n12
    & n3 != n13
    & n3 != n14
    & n3 != n15
    & n3 != n16
    & n3 != n17
    & n3 != n18
    & n3 != n19
    & n3 != n20
    & n4 != n5
    & n4 != n6
    & n4 != n7
    & n4 != n8
    & n4 != n9
    & n4 != n10
    & n4 != n11
    & n4 != n12
    & n4 != n13
    & n4 != n14
    & n4 != n15
    & n4 != n16
    & n4 != n17
    & n4 != n18
    & n4 != n19
    & n4 != n20
    & n5 != n6
    & n5 != n7
    & n5 != n8
    & n5 != n9
    & n5 != n10
    & n5 != n11
    & n5 != n12
    & n5 != n13
    & n5 != n14
    & n5 != n15
    & n5 != n16
    & n5 != n17
    & n5 != n18
    & n5 != n19
    & n5 != n20
    & n6 != n7
    & n6 != n8
    & n6 != n9
    & n6 != n10
    & n6 != n11
    & n6 != n12
    & n6 != n13
    & n6 != n14
    & n6 != n15
    & n6 != n16
    & n6 != n17
    & n6 != n18
    & n6 != n19
    & n6 != n20
    & n7 != n8
    & n7 != n9
    & n7 != n10
    & n7 != n11
    & n7 != n12
    & n7 != n13
    & n7 != n14
    & n7 != n15
    & n7 != n16
    & n7 != n17
    & n7 != n18
    & n7 != n19
    & n7 != n20
    & n8 != n9
    & n8 != n10
    & n8 != n11
    & n8 != n12
    & n8 != n13
    & n8 != n14
    & n8 != n15
    & n8 != n16
    & n8 != n17
    & n8 != n18
    & n8 != n19
    & n8 != n20
    & n9 != n10
    & n9 != n11
    & n9 != n12
    & n9 != n13
    & n9 != n14
    & n9 != n15
    & n9 != n16
    & n9 != n17
    & n9 != n18
    & n9 != n19
    & n9 != n20
    & n10 != n11
    & n10 != n12
    & n10 != n13
    & n10 != n14
    & n10 != n15
    & n10 != n16
    & n10 != n17
    & n10 != n18
    & n10 != n19
    & n10 != n20
    & n11 != n12
    & n11 != n13
    & n11 != n14
    & n11 != n15
    & n11 != n16
    & n11 != n17
    & n11 != n18
    & n11 != n19
    & n11 != n20
    & n12 != n13
    & n12 != n14
    & n12 != n15
    & n12 != n16
    & n12 != n17
    & n12 != n18
    & n12 != n19
    & n12 != n20
    & n13 != n14
    & n13 != n15
    & n13 != n16
    & n13 != n17
    & n13 != n18
    & n13 != n19
    & n13 != n20
    & n14 != n15
    & n14 != n16
    & n14 != n17
    & n14 != n18
    & n14 != n19
    & n14 != n20
    & n15 != n16
    & n15 != n17
    & n15 != n18
    & n15 != n19
    & n15 != n20
    & n16 != n17
    & n16 != n18
    & n16 != n19
    & n16 != n20
    & n17 != n18
    & n17 != n19
    & n17 != n20
    & n18 != n19
    & n18 != n20
    & n19 != n20 ),
    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) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f20,plain,
    succ(n16) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f21,plain,
    succ(n17) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f22,plain,
    succ(n18) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f23,plain,
    succ(n19) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f24,plain,
    succ(n20) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f25,plain,
    pred(n0) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f26,plain,
    pred(n1) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f27,plain,
    pred(n2) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f28,plain,
    pred(n3) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f29,plain,
    pred(n4) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f30,plain,
    pred(n5) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f31,plain,
    pred(n6) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f32,plain,
    pred(n7) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f33,plain,
    pred(n8) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f34,plain,
    pred(n9) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f35,plain,
    pred(n10) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f36,plain,
    pred(n11) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f37,plain,
    pred(n12) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f38,plain,
    pred(n13) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f39,plain,
    pred(n14) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f40,plain,
    pred(n15) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f41,plain,
    pred(n16) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f42,plain,
    pred(n17) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f43,plain,
    pred(n18) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f44,plain,
    pred(n19) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f45,plain,
    pred(n20) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

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

fof(f49,plain,
    sum(n0,n3) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f50,plain,
    sum(n0,n4) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f51,plain,
    sum(n0,n5) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f52,plain,
    sum(n0,n6) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f53,plain,
    sum(n0,n7) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f54,plain,
    sum(n0,n8) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f55,plain,
    sum(n0,n9) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f56,plain,
    sum(n0,n10) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f57,plain,
    sum(n0,n11) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f58,plain,
    sum(n0,n12) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f59,plain,
    sum(n0,n13) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f60,plain,
    sum(n0,n14) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f61,plain,
    sum(n0,n15) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f62,plain,
    sum(n0,n16) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f63,plain,
    sum(n0,n17) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f64,plain,
    sum(n0,n18) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f65,plain,
    sum(n0,n19) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f66,plain,
    sum(n0,n20) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f68,plain,
    sum(n1,n1) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f70,plain,
    sum(n1,n3) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f72,plain,
    sum(n1,n5) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f73,plain,
    sum(n1,n6) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f74,plain,
    sum(n1,n7) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f75,plain,
    sum(n1,n8) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f76,plain,
    sum(n1,n9) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f77,plain,
    sum(n1,n10) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f78,plain,
    sum(n1,n11) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f79,plain,
    sum(n1,n12) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f80,plain,
    sum(n1,n13) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f81,plain,
    sum(n1,n14) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f82,plain,
    sum(n1,n15) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f83,plain,
    sum(n1,n16) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f84,plain,
    sum(n1,n17) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f85,plain,
    sum(n1,n18) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f86,plain,
    sum(n1,n19) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f87,plain,
    sum(n1,n20) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f88,plain,
    sum(n2,n0) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f89,plain,
    sum(n2,n1) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f90,plain,
    sum(n2,n2) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f91,plain,
    sum(n2,n3) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f92,plain,
    sum(n2,n4) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f93,plain,
    sum(n2,n5) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f95,plain,
    sum(n2,n7) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f96,plain,
    sum(n2,n8) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f97,plain,
    sum(n2,n9) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f98,plain,
    sum(n2,n10) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f99,plain,
    sum(n2,n11) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f100,plain,
    sum(n2,n12) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f101,plain,
    sum(n2,n13) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f102,plain,
    sum(n2,n14) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f103,plain,
    sum(n2,n15) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f104,plain,
    sum(n2,n16) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f105,plain,
    sum(n2,n17) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f106,plain,
    sum(n2,n18) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f107,plain,
    sum(n2,n19) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f108,plain,
    sum(n2,n20) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f109,plain,
    sum(n3,n0) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f110,plain,
    sum(n3,n1) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f111,plain,
    sum(n3,n2) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f112,plain,
    sum(n3,n3) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f113,plain,
    sum(n3,n4) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f114,plain,
    sum(n3,n5) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f115,plain,
    sum(n3,n6) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f116,plain,
    sum(n3,n7) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f117,plain,
    sum(n3,n8) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f118,plain,
    sum(n3,n9) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f119,plain,
    sum(n3,n10) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f120,plain,
    sum(n3,n11) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f121,plain,
    sum(n3,n12) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f122,plain,
    sum(n3,n13) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f123,plain,
    sum(n3,n14) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f124,plain,
    sum(n3,n15) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f125,plain,
    sum(n3,n16) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f126,plain,
    sum(n3,n17) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f127,plain,
    sum(n3,n18) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f128,plain,
    sum(n3,n19) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f129,plain,
    sum(n3,n20) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f130,plain,
    sum(n4,n0) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f131,plain,
    sum(n4,n1) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f132,plain,
    sum(n4,n2) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f133,plain,
    sum(n4,n3) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f134,plain,
    sum(n4,n4) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f135,plain,
    sum(n4,n5) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f137,plain,
    sum(n4,n7) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f138,plain,
    sum(n4,n8) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f139,plain,
    sum(n4,n9) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f140,plain,
    sum(n4,n10) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f141,plain,
    sum(n4,n11) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f142,plain,
    sum(n4,n12) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f143,plain,
    sum(n4,n13) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f144,plain,
    sum(n4,n14) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f145,plain,
    sum(n4,n15) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f146,plain,
    sum(n4,n16) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f147,plain,
    sum(n4,n17) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f148,plain,
    sum(n4,n18) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f149,plain,
    sum(n4,n19) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f150,plain,
    sum(n4,n20) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f151,plain,
    sum(n5,n0) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f152,plain,
    sum(n5,n1) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f153,plain,
    sum(n5,n2) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f154,plain,
    sum(n5,n3) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f155,plain,
    sum(n5,n4) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f156,plain,
    sum(n5,n5) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f157,plain,
    sum(n5,n6) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f158,plain,
    sum(n5,n7) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f159,plain,
    sum(n5,n8) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f160,plain,
    sum(n5,n9) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f161,plain,
    sum(n5,n10) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f162,plain,
    sum(n5,n11) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f163,plain,
    sum(n5,n12) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f164,plain,
    sum(n5,n13) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f165,plain,
    sum(n5,n14) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f166,plain,
    sum(n5,n15) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f167,plain,
    sum(n5,n16) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f168,plain,
    sum(n5,n17) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f169,plain,
    sum(n5,n18) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f170,plain,
    sum(n5,n19) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f171,plain,
    sum(n5,n20) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f172,plain,
    sum(n6,n0) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f173,plain,
    sum(n6,n1) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f174,plain,
    sum(n6,n2) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f175,plain,
    sum(n6,n3) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f176,plain,
    sum(n6,n4) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f177,plain,
    sum(n6,n5) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f178,plain,
    sum(n6,n6) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f179,plain,
    sum(n6,n7) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f180,plain,
    sum(n6,n8) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f181,plain,
    sum(n6,n9) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f182,plain,
    sum(n6,n10) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f183,plain,
    sum(n6,n11) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f184,plain,
    sum(n6,n12) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f185,plain,
    sum(n6,n13) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f186,plain,
    sum(n6,n14) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f187,plain,
    sum(n6,n15) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f188,plain,
    sum(n6,n16) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f189,plain,
    sum(n6,n17) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f190,plain,
    sum(n6,n18) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f191,plain,
    sum(n6,n19) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f192,plain,
    sum(n6,n20) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f193,plain,
    sum(n7,n0) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f194,plain,
    sum(n7,n1) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f195,plain,
    sum(n7,n2) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f196,plain,
    sum(n7,n3) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f197,plain,
    sum(n7,n4) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f198,plain,
    sum(n7,n5) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f199,plain,
    sum(n7,n6) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f200,plain,
    sum(n7,n7) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f201,plain,
    sum(n7,n8) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f202,plain,
    sum(n7,n9) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f203,plain,
    sum(n7,n10) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f204,plain,
    sum(n7,n11) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f205,plain,
    sum(n7,n12) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f206,plain,
    sum(n7,n13) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f207,plain,
    sum(n7,n14) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f208,plain,
    sum(n7,n15) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f209,plain,
    sum(n7,n16) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f210,plain,
    sum(n7,n17) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f211,plain,
    sum(n7,n18) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f212,plain,
    sum(n7,n19) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f213,plain,
    sum(n7,n20) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f214,plain,
    sum(n8,n0) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f215,plain,
    sum(n8,n1) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f216,plain,
    sum(n8,n2) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f217,plain,
    sum(n8,n3) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f218,plain,
    sum(n8,n4) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f219,plain,
    sum(n8,n5) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f220,plain,
    sum(n8,n6) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f221,plain,
    sum(n8,n7) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f222,plain,
    sum(n8,n8) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f223,plain,
    sum(n8,n9) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f224,plain,
    sum(n8,n10) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f225,plain,
    sum(n8,n11) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f226,plain,
    sum(n8,n12) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f227,plain,
    sum(n8,n13) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f228,plain,
    sum(n8,n14) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f229,plain,
    sum(n8,n15) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f230,plain,
    sum(n8,n16) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f231,plain,
    sum(n8,n17) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f232,plain,
    sum(n8,n18) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f233,plain,
    sum(n8,n19) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f234,plain,
    sum(n8,n20) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f235,plain,
    sum(n9,n0) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f236,plain,
    sum(n9,n1) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f237,plain,
    sum(n9,n2) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f238,plain,
    sum(n9,n3) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f239,plain,
    sum(n9,n4) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f240,plain,
    sum(n9,n5) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f241,plain,
    sum(n9,n6) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f242,plain,
    sum(n9,n7) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f243,plain,
    sum(n9,n8) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f244,plain,
    sum(n9,n9) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f245,plain,
    sum(n9,n10) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f246,plain,
    sum(n9,n11) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f247,plain,
    sum(n9,n12) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f248,plain,
    sum(n9,n13) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f249,plain,
    sum(n9,n14) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f250,plain,
    sum(n9,n15) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f251,plain,
    sum(n9,n16) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f252,plain,
    sum(n9,n17) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f253,plain,
    sum(n9,n18) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f254,plain,
    sum(n9,n19) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f255,plain,
    sum(n9,n20) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f256,plain,
    sum(n10,n0) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f257,plain,
    sum(n10,n1) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f258,plain,
    sum(n10,n2) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f259,plain,
    sum(n10,n3) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f260,plain,
    sum(n10,n4) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f261,plain,
    sum(n10,n5) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f262,plain,
    sum(n10,n6) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f263,plain,
    sum(n10,n7) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f264,plain,
    sum(n10,n8) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f265,plain,
    sum(n10,n9) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f266,plain,
    sum(n10,n10) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f267,plain,
    sum(n10,n11) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f268,plain,
    sum(n10,n12) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f269,plain,
    sum(n10,n13) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f270,plain,
    sum(n10,n14) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f271,plain,
    sum(n10,n15) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f272,plain,
    sum(n10,n16) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f273,plain,
    sum(n10,n17) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f274,plain,
    sum(n10,n18) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f275,plain,
    sum(n10,n19) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f276,plain,
    sum(n10,n20) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f277,plain,
    sum(n11,n0) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f278,plain,
    sum(n11,n1) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f279,plain,
    sum(n11,n2) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f280,plain,
    sum(n11,n3) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f281,plain,
    sum(n11,n4) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f282,plain,
    sum(n11,n5) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f283,plain,
    sum(n11,n6) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f284,plain,
    sum(n11,n7) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f285,plain,
    sum(n11,n8) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f286,plain,
    sum(n11,n9) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f287,plain,
    sum(n11,n10) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f288,plain,
    sum(n11,n11) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f289,plain,
    sum(n11,n12) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f290,plain,
    sum(n11,n13) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f291,plain,
    sum(n11,n14) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f292,plain,
    sum(n11,n15) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f293,plain,
    sum(n11,n16) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f294,plain,
    sum(n11,n17) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f295,plain,
    sum(n11,n18) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f296,plain,
    sum(n11,n19) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f297,plain,
    sum(n11,n20) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f298,plain,
    sum(n12,n0) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f299,plain,
    sum(n12,n1) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f300,plain,
    sum(n12,n2) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f301,plain,
    sum(n12,n3) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f302,plain,
    sum(n12,n4) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f303,plain,
    sum(n12,n5) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f304,plain,
    sum(n12,n6) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f305,plain,
    sum(n12,n7) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f306,plain,
    sum(n12,n8) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f307,plain,
    sum(n12,n9) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f308,plain,
    sum(n12,n10) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f309,plain,
    sum(n12,n11) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f310,plain,
    sum(n12,n12) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f311,plain,
    sum(n12,n13) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f312,plain,
    sum(n12,n14) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f313,plain,
    sum(n12,n15) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f314,plain,
    sum(n12,n16) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f315,plain,
    sum(n12,n17) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f316,plain,
    sum(n12,n18) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f317,plain,
    sum(n12,n19) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f318,plain,
    sum(n12,n20) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f319,plain,
    sum(n13,n0) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f320,plain,
    sum(n13,n1) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f321,plain,
    sum(n13,n2) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f322,plain,
    sum(n13,n3) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f323,plain,
    sum(n13,n4) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f324,plain,
    sum(n13,n5) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f325,plain,
    sum(n13,n6) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f326,plain,
    sum(n13,n7) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f327,plain,
    sum(n13,n8) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f328,plain,
    sum(n13,n9) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f329,plain,
    sum(n13,n10) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f330,plain,
    sum(n13,n11) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f331,plain,
    sum(n13,n12) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f332,plain,
    sum(n13,n13) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f333,plain,
    sum(n13,n14) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f334,plain,
    sum(n13,n15) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f335,plain,
    sum(n13,n16) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f336,plain,
    sum(n13,n17) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f337,plain,
    sum(n13,n18) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f338,plain,
    sum(n13,n19) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f339,plain,
    sum(n13,n20) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f340,plain,
    sum(n14,n0) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f341,plain,
    sum(n14,n1) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f342,plain,
    sum(n14,n2) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f343,plain,
    sum(n14,n3) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f344,plain,
    sum(n14,n4) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f345,plain,
    sum(n14,n5) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f346,plain,
    sum(n14,n6) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f347,plain,
    sum(n14,n7) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f348,plain,
    sum(n14,n8) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f349,plain,
    sum(n14,n9) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f350,plain,
    sum(n14,n10) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f351,plain,
    sum(n14,n11) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f352,plain,
    sum(n14,n12) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f353,plain,
    sum(n14,n13) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f354,plain,
    sum(n14,n14) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f355,plain,
    sum(n14,n15) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f356,plain,
    sum(n14,n16) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f357,plain,
    sum(n14,n17) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f358,plain,
    sum(n14,n18) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f359,plain,
    sum(n14,n19) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f360,plain,
    sum(n14,n20) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f361,plain,
    sum(n15,n0) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f362,plain,
    sum(n15,n1) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f363,plain,
    sum(n15,n2) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f364,plain,
    sum(n15,n3) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f365,plain,
    sum(n15,n4) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f366,plain,
    sum(n15,n5) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f367,plain,
    sum(n15,n6) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f368,plain,
    sum(n15,n7) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f369,plain,
    sum(n15,n8) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f370,plain,
    sum(n15,n9) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f371,plain,
    sum(n15,n10) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f372,plain,
    sum(n15,n11) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f373,plain,
    sum(n15,n12) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f374,plain,
    sum(n15,n13) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f375,plain,
    sum(n15,n14) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f376,plain,
    sum(n15,n15) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f377,plain,
    sum(n15,n16) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f378,plain,
    sum(n15,n17) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f379,plain,
    sum(n15,n18) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f380,plain,
    sum(n15,n19) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f381,plain,
    sum(n15,n20) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f382,plain,
    sum(n16,n0) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f383,plain,
    sum(n16,n1) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f384,plain,
    sum(n16,n2) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f385,plain,
    sum(n16,n3) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f386,plain,
    sum(n16,n4) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f387,plain,
    sum(n16,n5) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f388,plain,
    sum(n16,n6) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f389,plain,
    sum(n16,n7) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f390,plain,
    sum(n16,n8) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f391,plain,
    sum(n16,n9) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f392,plain,
    sum(n16,n10) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f393,plain,
    sum(n16,n11) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f394,plain,
    sum(n16,n12) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f395,plain,
    sum(n16,n13) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f396,plain,
    sum(n16,n14) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f397,plain,
    sum(n16,n15) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f398,plain,
    sum(n16,n16) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f399,plain,
    sum(n16,n17) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f400,plain,
    sum(n16,n18) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f401,plain,
    sum(n16,n19) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f402,plain,
    sum(n16,n20) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f403,plain,
    sum(n17,n0) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f404,plain,
    sum(n17,n1) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f405,plain,
    sum(n17,n2) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f406,plain,
    sum(n17,n3) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f407,plain,
    sum(n17,n4) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f408,plain,
    sum(n17,n5) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f409,plain,
    sum(n17,n6) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f410,plain,
    sum(n17,n7) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f411,plain,
    sum(n17,n8) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f412,plain,
    sum(n17,n9) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f413,plain,
    sum(n17,n10) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f414,plain,
    sum(n17,n11) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f415,plain,
    sum(n17,n12) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f416,plain,
    sum(n17,n13) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f417,plain,
    sum(n17,n14) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f418,plain,
    sum(n17,n15) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f419,plain,
    sum(n17,n16) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f420,plain,
    sum(n17,n17) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f421,plain,
    sum(n17,n18) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f422,plain,
    sum(n17,n19) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f423,plain,
    sum(n17,n20) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f424,plain,
    sum(n18,n0) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f425,plain,
    sum(n18,n1) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f426,plain,
    sum(n18,n2) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f427,plain,
    sum(n18,n3) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f428,plain,
    sum(n18,n4) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f429,plain,
    sum(n18,n5) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f430,plain,
    sum(n18,n6) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f431,plain,
    sum(n18,n7) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f432,plain,
    sum(n18,n8) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f433,plain,
    sum(n18,n9) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f434,plain,
    sum(n18,n10) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f435,plain,
    sum(n18,n11) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f436,plain,
    sum(n18,n12) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f437,plain,
    sum(n18,n13) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f438,plain,
    sum(n18,n14) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f439,plain,
    sum(n18,n15) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f440,plain,
    sum(n18,n16) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f441,plain,
    sum(n18,n17) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f442,plain,
    sum(n18,n18) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f443,plain,
    sum(n18,n19) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f444,plain,
    sum(n18,n20) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f445,plain,
    sum(n19,n0) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f446,plain,
    sum(n19,n1) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f447,plain,
    sum(n19,n2) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f448,plain,
    sum(n19,n3) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f449,plain,
    sum(n19,n4) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f450,plain,
    sum(n19,n5) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f451,plain,
    sum(n19,n6) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f452,plain,
    sum(n19,n7) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f453,plain,
    sum(n19,n8) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f454,plain,
    sum(n19,n9) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f455,plain,
    sum(n19,n10) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f456,plain,
    sum(n19,n11) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f457,plain,
    sum(n19,n12) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f458,plain,
    sum(n19,n13) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f459,plain,
    sum(n19,n14) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f460,plain,
    sum(n19,n15) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f461,plain,
    sum(n19,n16) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f462,plain,
    sum(n19,n17) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f463,plain,
    sum(n19,n18) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f464,plain,
    sum(n19,n19) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f465,plain,
    sum(n19,n20) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f466,plain,
    sum(n20,n0) = n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f467,plain,
    sum(n20,n1) = n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f468,plain,
    sum(n20,n2) = n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f469,plain,
    sum(n20,n3) = n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f470,plain,
    sum(n20,n4) = n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f471,plain,
    sum(n20,n5) = n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f472,plain,
    sum(n20,n6) = n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f473,plain,
    sum(n20,n7) = n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f474,plain,
    sum(n20,n8) = n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f475,plain,
    sum(n20,n9) = n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f476,plain,
    sum(n20,n10) = n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f477,plain,
    sum(n20,n11) = n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f478,plain,
    sum(n20,n12) = n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f479,plain,
    sum(n20,n13) = n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f480,plain,
    sum(n20,n14) = n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f481,plain,
    sum(n20,n15) = n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f482,plain,
    sum(n20,n16) = n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f483,plain,
    sum(n20,n17) = n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f484,plain,
    sum(n20,n18) = n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f485,plain,
    sum(n20,n19) = n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f486,plain,
    sum(n20,n20) = n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f487,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
    | sk0_1 = n16
    | sk0_1 = n17
    | sk0_1 = n18
    | sk0_1 = n19
    | sk0_1 = n20 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f488,plain,
    ( sk0_2 = n0
    | sk0_2 = n1
    | sk0_2 = n2
    | sk0_2 = n3
    | sk0_2 = n4
    | sk0_2 = n5
    | sk0_2 = n6
    | sk0_2 = n7
    | sk0_2 = n8
    | sk0_2 = n9
    | sk0_2 = n10
    | sk0_2 = n11
    | sk0_2 = n12
    | sk0_2 = n13
    | sk0_2 = n14
    | sk0_2 = n15
    | sk0_2 = n16
    | sk0_2 = n17
    | sk0_2 = n18
    | sk0_2 = n19
    | sk0_2 = n20 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f489,plain,
    sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,sk0_2)))),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f490,plain,
    sk0_0 != n0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f491,plain,
    sk0_0 != n1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f492,plain,
    sk0_0 != n2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f493,plain,
    sk0_0 != n3,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f494,plain,
    sk0_0 != n4,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f495,plain,
    sk0_0 != n5,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f496,plain,
    sk0_0 != n6,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f497,plain,
    sk0_0 != n7,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f498,plain,
    sk0_0 != n8,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f499,plain,
    sk0_0 != n9,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f500,plain,
    sk0_0 != n10,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f501,plain,
    sk0_0 != n11,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f502,plain,
    sk0_0 != n12,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f503,plain,
    sk0_0 != n13,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f504,plain,
    sk0_0 != n14,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f505,plain,
    sk0_0 != n15,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f506,plain,
    sk0_0 != n16,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f507,plain,
    sk0_0 != n17,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f508,plain,
    sk0_0 != n18,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f509,plain,
    sk0_0 != n19,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f510,plain,
    sk0_0 != n20,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f721,plain,
    ( spl0_0
  <=> sk0_1 = n0 ),
    introduced(split_symbol_definition) ).

fof(f722,plain,
    ( sk0_1 = n0
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f721]) ).

fof(f724,plain,
    ( spl0_1
  <=> sk0_1 = n1 ),
    introduced(split_symbol_definition) ).

fof(f725,plain,
    ( sk0_1 = n1
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f724]) ).

fof(f727,plain,
    ( spl0_2
  <=> sk0_1 = n2 ),
    introduced(split_symbol_definition) ).

fof(f728,plain,
    ( sk0_1 = n2
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f727]) ).

fof(f730,plain,
    ( spl0_3
  <=> sk0_1 = n3 ),
    introduced(split_symbol_definition) ).

fof(f731,plain,
    ( sk0_1 = n3
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f730]) ).

fof(f733,plain,
    ( spl0_4
  <=> sk0_1 = n4 ),
    introduced(split_symbol_definition) ).

fof(f734,plain,
    ( sk0_1 = n4
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f733]) ).

fof(f736,plain,
    ( spl0_5
  <=> sk0_1 = n5 ),
    introduced(split_symbol_definition) ).

fof(f737,plain,
    ( sk0_1 = n5
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f736]) ).

fof(f739,plain,
    ( spl0_6
  <=> sk0_1 = n6 ),
    introduced(split_symbol_definition) ).

fof(f740,plain,
    ( sk0_1 = n6
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f739]) ).

fof(f742,plain,
    ( spl0_7
  <=> sk0_1 = n7 ),
    introduced(split_symbol_definition) ).

fof(f743,plain,
    ( sk0_1 = n7
    | ~ spl0_7 ),
    inference(component_clause,[status(thm)],[f742]) ).

fof(f745,plain,
    ( spl0_8
  <=> sk0_1 = n8 ),
    introduced(split_symbol_definition) ).

fof(f746,plain,
    ( sk0_1 = n8
    | ~ spl0_8 ),
    inference(component_clause,[status(thm)],[f745]) ).

fof(f748,plain,
    ( spl0_9
  <=> sk0_1 = n9 ),
    introduced(split_symbol_definition) ).

fof(f749,plain,
    ( sk0_1 = n9
    | ~ spl0_9 ),
    inference(component_clause,[status(thm)],[f748]) ).

fof(f751,plain,
    ( spl0_10
  <=> sk0_1 = n10 ),
    introduced(split_symbol_definition) ).

fof(f752,plain,
    ( sk0_1 = n10
    | ~ spl0_10 ),
    inference(component_clause,[status(thm)],[f751]) ).

fof(f754,plain,
    ( spl0_11
  <=> sk0_1 = n11 ),
    introduced(split_symbol_definition) ).

fof(f755,plain,
    ( sk0_1 = n11
    | ~ spl0_11 ),
    inference(component_clause,[status(thm)],[f754]) ).

fof(f757,plain,
    ( spl0_12
  <=> sk0_1 = n12 ),
    introduced(split_symbol_definition) ).

fof(f758,plain,
    ( sk0_1 = n12
    | ~ spl0_12 ),
    inference(component_clause,[status(thm)],[f757]) ).

fof(f760,plain,
    ( spl0_13
  <=> sk0_1 = n13 ),
    introduced(split_symbol_definition) ).

fof(f761,plain,
    ( sk0_1 = n13
    | ~ spl0_13 ),
    inference(component_clause,[status(thm)],[f760]) ).

fof(f763,plain,
    ( spl0_14
  <=> sk0_1 = n14 ),
    introduced(split_symbol_definition) ).

fof(f764,plain,
    ( sk0_1 = n14
    | ~ spl0_14 ),
    inference(component_clause,[status(thm)],[f763]) ).

fof(f766,plain,
    ( spl0_15
  <=> sk0_1 = n15 ),
    introduced(split_symbol_definition) ).

fof(f767,plain,
    ( sk0_1 = n15
    | ~ spl0_15 ),
    inference(component_clause,[status(thm)],[f766]) ).

fof(f769,plain,
    ( spl0_16
  <=> sk0_1 = n16 ),
    introduced(split_symbol_definition) ).

fof(f770,plain,
    ( sk0_1 = n16
    | ~ spl0_16 ),
    inference(component_clause,[status(thm)],[f769]) ).

fof(f772,plain,
    ( spl0_17
  <=> sk0_1 = n17 ),
    introduced(split_symbol_definition) ).

fof(f773,plain,
    ( sk0_1 = n17
    | ~ spl0_17 ),
    inference(component_clause,[status(thm)],[f772]) ).

fof(f775,plain,
    ( spl0_18
  <=> sk0_1 = n18 ),
    introduced(split_symbol_definition) ).

fof(f776,plain,
    ( sk0_1 = n18
    | ~ spl0_18 ),
    inference(component_clause,[status(thm)],[f775]) ).

fof(f778,plain,
    ( spl0_19
  <=> sk0_1 = n19 ),
    introduced(split_symbol_definition) ).

fof(f779,plain,
    ( sk0_1 = n19
    | ~ spl0_19 ),
    inference(component_clause,[status(thm)],[f778]) ).

fof(f781,plain,
    ( spl0_20
  <=> sk0_1 = n20 ),
    introduced(split_symbol_definition) ).

fof(f782,plain,
    ( sk0_1 = n20
    | ~ spl0_20 ),
    inference(component_clause,[status(thm)],[f781]) ).

fof(f784,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
    | spl0_16
    | spl0_17
    | spl0_18
    | spl0_19
    | spl0_20 ),
    inference(split_clause,[status(thm)],[f487,f721,f724,f727,f730,f733,f736,f739,f742,f745,f748,f751,f754,f757,f760,f763,f766,f769,f772,f775,f778,f781]) ).

fof(f785,plain,
    ( spl0_21
  <=> sk0_2 = n0 ),
    introduced(split_symbol_definition) ).

fof(f786,plain,
    ( sk0_2 = n0
    | ~ spl0_21 ),
    inference(component_clause,[status(thm)],[f785]) ).

fof(f788,plain,
    ( spl0_22
  <=> sk0_2 = n1 ),
    introduced(split_symbol_definition) ).

fof(f789,plain,
    ( sk0_2 = n1
    | ~ spl0_22 ),
    inference(component_clause,[status(thm)],[f788]) ).

fof(f791,plain,
    ( spl0_23
  <=> sk0_2 = n2 ),
    introduced(split_symbol_definition) ).

fof(f792,plain,
    ( sk0_2 = n2
    | ~ spl0_23 ),
    inference(component_clause,[status(thm)],[f791]) ).

fof(f794,plain,
    ( spl0_24
  <=> sk0_2 = n3 ),
    introduced(split_symbol_definition) ).

fof(f795,plain,
    ( sk0_2 = n3
    | ~ spl0_24 ),
    inference(component_clause,[status(thm)],[f794]) ).

fof(f797,plain,
    ( spl0_25
  <=> sk0_2 = n4 ),
    introduced(split_symbol_definition) ).

fof(f798,plain,
    ( sk0_2 = n4
    | ~ spl0_25 ),
    inference(component_clause,[status(thm)],[f797]) ).

fof(f800,plain,
    ( spl0_26
  <=> sk0_2 = n5 ),
    introduced(split_symbol_definition) ).

fof(f801,plain,
    ( sk0_2 = n5
    | ~ spl0_26 ),
    inference(component_clause,[status(thm)],[f800]) ).

fof(f803,plain,
    ( spl0_27
  <=> sk0_2 = n6 ),
    introduced(split_symbol_definition) ).

fof(f804,plain,
    ( sk0_2 = n6
    | ~ spl0_27 ),
    inference(component_clause,[status(thm)],[f803]) ).

fof(f806,plain,
    ( spl0_28
  <=> sk0_2 = n7 ),
    introduced(split_symbol_definition) ).

fof(f807,plain,
    ( sk0_2 = n7
    | ~ spl0_28 ),
    inference(component_clause,[status(thm)],[f806]) ).

fof(f809,plain,
    ( spl0_29
  <=> sk0_2 = n8 ),
    introduced(split_symbol_definition) ).

fof(f810,plain,
    ( sk0_2 = n8
    | ~ spl0_29 ),
    inference(component_clause,[status(thm)],[f809]) ).

fof(f812,plain,
    ( spl0_30
  <=> sk0_2 = n9 ),
    introduced(split_symbol_definition) ).

fof(f813,plain,
    ( sk0_2 = n9
    | ~ spl0_30 ),
    inference(component_clause,[status(thm)],[f812]) ).

fof(f815,plain,
    ( spl0_31
  <=> sk0_2 = n10 ),
    introduced(split_symbol_definition) ).

fof(f816,plain,
    ( sk0_2 = n10
    | ~ spl0_31 ),
    inference(component_clause,[status(thm)],[f815]) ).

fof(f818,plain,
    ( spl0_32
  <=> sk0_2 = n11 ),
    introduced(split_symbol_definition) ).

fof(f819,plain,
    ( sk0_2 = n11
    | ~ spl0_32 ),
    inference(component_clause,[status(thm)],[f818]) ).

fof(f821,plain,
    ( spl0_33
  <=> sk0_2 = n12 ),
    introduced(split_symbol_definition) ).

fof(f822,plain,
    ( sk0_2 = n12
    | ~ spl0_33 ),
    inference(component_clause,[status(thm)],[f821]) ).

fof(f824,plain,
    ( spl0_34
  <=> sk0_2 = n13 ),
    introduced(split_symbol_definition) ).

fof(f825,plain,
    ( sk0_2 = n13
    | ~ spl0_34 ),
    inference(component_clause,[status(thm)],[f824]) ).

fof(f827,plain,
    ( spl0_35
  <=> sk0_2 = n14 ),
    introduced(split_symbol_definition) ).

fof(f828,plain,
    ( sk0_2 = n14
    | ~ spl0_35 ),
    inference(component_clause,[status(thm)],[f827]) ).

fof(f830,plain,
    ( spl0_36
  <=> sk0_2 = n15 ),
    introduced(split_symbol_definition) ).

fof(f831,plain,
    ( sk0_2 = n15
    | ~ spl0_36 ),
    inference(component_clause,[status(thm)],[f830]) ).

fof(f833,plain,
    ( spl0_37
  <=> sk0_2 = n16 ),
    introduced(split_symbol_definition) ).

fof(f834,plain,
    ( sk0_2 = n16
    | ~ spl0_37 ),
    inference(component_clause,[status(thm)],[f833]) ).

fof(f836,plain,
    ( spl0_38
  <=> sk0_2 = n17 ),
    introduced(split_symbol_definition) ).

fof(f837,plain,
    ( sk0_2 = n17
    | ~ spl0_38 ),
    inference(component_clause,[status(thm)],[f836]) ).

fof(f839,plain,
    ( spl0_39
  <=> sk0_2 = n18 ),
    introduced(split_symbol_definition) ).

fof(f840,plain,
    ( sk0_2 = n18
    | ~ spl0_39 ),
    inference(component_clause,[status(thm)],[f839]) ).

fof(f842,plain,
    ( spl0_40
  <=> sk0_2 = n19 ),
    introduced(split_symbol_definition) ).

fof(f843,plain,
    ( sk0_2 = n19
    | ~ spl0_40 ),
    inference(component_clause,[status(thm)],[f842]) ).

fof(f845,plain,
    ( spl0_41
  <=> sk0_2 = n20 ),
    introduced(split_symbol_definition) ).

fof(f846,plain,
    ( sk0_2 = n20
    | ~ spl0_41 ),
    inference(component_clause,[status(thm)],[f845]) ).

fof(f848,plain,
    ( spl0_21
    | spl0_22
    | spl0_23
    | spl0_24
    | spl0_25
    | spl0_26
    | spl0_27
    | spl0_28
    | spl0_29
    | spl0_30
    | spl0_31
    | spl0_32
    | spl0_33
    | spl0_34
    | spl0_35
    | spl0_36
    | spl0_37
    | spl0_38
    | spl0_39
    | spl0_40
    | spl0_41 ),
    inference(split_clause,[status(thm)],[f488,f785,f788,f791,f794,f797,f800,f803,f806,f809,f812,f815,f818,f821,f824,f827,f830,f833,f836,f839,f842,f845]) ).

fof(f1071,plain,
    ( sk0_0 = sum(pred(sum(n2,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f728,f489]) ).

fof(f1072,plain,
    ( sk0_0 = sum(pred(sum(n2,succ(n17))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_38
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f837,f1071]) ).

fof(f1073,plain,
    ( sk0_0 = sum(pred(sum(n2,n18)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_38
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f21,f1072]) ).

fof(f1074,plain,
    ( sk0_0 = sum(pred(n20),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_38
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f106,f1073]) ).

fof(f1075,plain,
    ( sk0_0 = sum(n19,sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_38
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f45,f1074]) ).

fof(f1076,plain,
    ( sk0_0 = sum(n19,sum(n17,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_38
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f837,f1075]) ).

fof(f1077,plain,
    ( sk0_0 = sum(n19,sum(n17,pred(sum(n2,sk0_2))))
    | ~ spl0_38
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f728,f1076]) ).

fof(f1078,plain,
    ( sk0_0 = sum(n19,sum(n17,pred(sum(n2,n17))))
    | ~ spl0_38
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f837,f1077]) ).

fof(f1079,plain,
    ( sk0_0 = sum(n19,sum(n17,pred(n19)))
    | ~ spl0_38
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f105,f1078]) ).

fof(f1080,plain,
    ( sk0_0 = sum(n19,sum(n17,n18))
    | ~ spl0_38
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f44,f1079]) ).

fof(f1081,plain,
    ( sk0_0 = sum(n19,n14)
    | ~ spl0_38
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f421,f1080]) ).

fof(f1082,plain,
    ( sk0_0 = n12
    | ~ spl0_38
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f459,f1081]) ).

fof(f1083,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1082,f502]) ).

fof(f1084,plain,
    ( ~ spl0_38
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f1083]) ).

fof(f1085,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f767,f489]) ).

fof(f1086,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(sk0_2))),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f767,f1085]) ).

fof(f1095,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f755,f489]) ).

fof(f1096,plain,
    ( sk0_0 = sum(pred(sum(n11,succ(sk0_2))),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f755,f1095]) ).

fof(f1107,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f743,f489]) ).

fof(f1108,plain,
    ( sk0_0 = sum(pred(sum(n7,succ(sk0_2))),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f743,f1107]) ).

fof(f1121,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f731,f489]) ).

fof(f1122,plain,
    ( sk0_0 = sum(pred(sum(n3,succ(sk0_2))),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f731,f1121]) ).

fof(f1137,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f725,f489]) ).

fof(f1138,plain,
    ( sk0_0 = sum(pred(sum(n1,succ(sk0_2))),sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f725,f1137]) ).

fof(f1170,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n15))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f831,f489]) ).

fof(f1171,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n16)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f19,f1170]) ).

fof(f1172,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n16)),sum(n15,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f831,f1171]) ).

fof(f1173,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f831,f1172]) ).

fof(f1194,plain,
    ( sk0_0 = sum(pred(sum(n18,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f776,f1173]) ).

fof(f1195,plain,
    ( sk0_0 = sum(pred(n13),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f440,f1194]) ).

fof(f1196,plain,
    ( sk0_0 = sum(n12,sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f38,f1195]) ).

fof(f1197,plain,
    ( sk0_0 = sum(n12,sum(n15,pred(sum(n18,n15))))
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f776,f1196]) ).

fof(f1198,plain,
    ( sk0_0 = sum(n12,sum(n15,pred(n12)))
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f439,f1197]) ).

fof(f1199,plain,
    ( sk0_0 = sum(n12,sum(n15,n11))
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f37,f1198]) ).

fof(f1200,plain,
    ( sk0_0 = sum(n12,n5)
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f372,f1199]) ).

fof(f1201,plain,
    ( sk0_0 = n17
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f303,f1200]) ).

fof(f1202,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1201,f507]) ).

fof(f1203,plain,
    ( ~ spl0_18
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f1202]) ).

fof(f1204,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f776,f489]) ).

fof(f1205,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(sk0_2))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f776,f1204]) ).

fof(f1216,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(n16))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_37
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f834,f1205]) ).

fof(f1217,plain,
    ( sk0_0 = sum(pred(sum(n18,n17)),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_37
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f20,f1216]) ).

fof(f1218,plain,
    ( sk0_0 = sum(pred(n14),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_37
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f441,f1217]) ).

fof(f1219,plain,
    ( sk0_0 = sum(n13,sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_37
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f39,f1218]) ).

fof(f1220,plain,
    ( sk0_0 = sum(n13,sum(n16,pred(sum(n18,sk0_2))))
    | ~ spl0_37
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f834,f1219]) ).

fof(f1221,plain,
    ( sk0_0 = sum(n13,sum(n16,pred(sum(n18,n16))))
    | ~ spl0_37
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f834,f1220]) ).

fof(f1222,plain,
    ( sk0_0 = sum(n13,sum(n16,pred(n13)))
    | ~ spl0_37
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f440,f1221]) ).

fof(f1223,plain,
    ( sk0_0 = sum(n13,sum(n16,n12))
    | ~ spl0_37
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f38,f1222]) ).

fof(f1224,plain,
    ( sk0_0 = sum(n13,n7)
    | ~ spl0_37
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f394,f1223]) ).

fof(f1225,plain,
    ( sk0_0 = n20
    | ~ spl0_37
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f326,f1224]) ).

fof(f1226,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1225,f510]) ).

fof(f1227,plain,
    ( ~ spl0_37
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f1226]) ).

fof(f1228,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f782,f489]) ).

fof(f1229,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f782,f1228]) ).

fof(f1261,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(n5))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_26
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f801,f1229]) ).

fof(f1262,plain,
    ( sk0_0 = sum(pred(sum(n20,n6)),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_26
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f9,f1261]) ).

fof(f1263,plain,
    ( sk0_0 = sum(pred(n5),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_26
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f472,f1262]) ).

fof(f1264,plain,
    ( sk0_0 = sum(n4,sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_26
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f30,f1263]) ).

fof(f1265,plain,
    ( sk0_0 = sum(n4,sum(n5,pred(sum(n20,sk0_2))))
    | ~ spl0_26
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f801,f1264]) ).

fof(f1266,plain,
    ( sk0_0 = sum(n4,sum(n5,pred(sum(n20,n5))))
    | ~ spl0_26
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f801,f1265]) ).

fof(f1267,plain,
    ( sk0_0 = sum(n4,sum(n5,pred(n4)))
    | ~ spl0_26
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f471,f1266]) ).

fof(f1268,plain,
    ( sk0_0 = sum(n4,sum(n5,n3))
    | ~ spl0_26
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f29,f1267]) ).

fof(f1269,plain,
    ( sk0_0 = sum(n4,n8)
    | ~ spl0_26
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f154,f1268]) ).

fof(f1270,plain,
    ( sk0_0 = n12
    | ~ spl0_26
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f138,f1269]) ).

fof(f1271,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1270,f502]) ).

fof(f1272,plain,
    ( ~ spl0_26
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f1271]) ).

fof(f1273,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_18 ),
    inference(backward_demodulation,[status(thm)],[f776,f489]) ).

fof(f1274,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(sk0_2))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f776,f1273]) ).

fof(f1295,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(sk0_2))),sum(sk0_2,pred(sum(n18,n18))))
    | ~ spl0_39
    | ~ spl0_18 ),
    inference(backward_demodulation,[status(thm)],[f840,f1205]) ).

fof(f1296,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(n18))),sum(sk0_2,pred(sum(n18,n18))))
    | ~ spl0_39
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f840,f1295]) ).

fof(f1297,plain,
    ( sk0_0 = sum(pred(sum(n18,n19)),sum(sk0_2,pred(sum(n18,n18))))
    | ~ spl0_39
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f22,f1296]) ).

fof(f1298,plain,
    ( sk0_0 = sum(pred(n16),sum(sk0_2,pred(sum(n18,n18))))
    | ~ spl0_39
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f443,f1297]) ).

fof(f1299,plain,
    ( sk0_0 = sum(n15,sum(sk0_2,pred(sum(n18,n18))))
    | ~ spl0_39
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f41,f1298]) ).

fof(f1300,plain,
    ( sk0_0 = sum(n15,sum(n18,pred(sum(n18,n18))))
    | ~ spl0_39
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f840,f1299]) ).

fof(f1301,plain,
    ( sk0_0 = sum(n15,sum(n18,pred(n15)))
    | ~ spl0_39
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f442,f1300]) ).

fof(f1302,plain,
    ( sk0_0 = sum(n15,sum(n18,n14))
    | ~ spl0_39
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f40,f1301]) ).

fof(f1303,plain,
    ( sk0_0 = sum(n15,n11)
    | ~ spl0_39
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f438,f1302]) ).

fof(f1304,plain,
    ( sk0_0 = n5
    | ~ spl0_39
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f372,f1303]) ).

fof(f1305,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1304,f495]) ).

fof(f1306,plain,
    ( ~ spl0_39
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f1305]) ).

fof(f1307,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f782,f489]) ).

fof(f1308,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f782,f1307]) ).

fof(f1342,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(n19))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_40
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f843,f1229]) ).

fof(f1343,plain,
    ( sk0_0 = sum(pred(sum(n20,n20)),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_40
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f23,f1342]) ).

fof(f1344,plain,
    ( sk0_0 = sum(pred(n19),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_40
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f486,f1343]) ).

fof(f1345,plain,
    ( sk0_0 = sum(n18,sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_40
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f44,f1344]) ).

fof(f1346,plain,
    ( sk0_0 = sum(n18,sum(n19,pred(sum(n20,sk0_2))))
    | ~ spl0_40
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f843,f1345]) ).

fof(f1347,plain,
    ( sk0_0 = sum(n18,sum(n19,pred(sum(n20,n19))))
    | ~ spl0_40
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f843,f1346]) ).

fof(f1348,plain,
    ( sk0_0 = sum(n18,sum(n19,pred(n18)))
    | ~ spl0_40
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f485,f1347]) ).

fof(f1349,plain,
    ( sk0_0 = sum(n18,sum(n19,n17))
    | ~ spl0_40
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f43,f1348]) ).

fof(f1350,plain,
    ( sk0_0 = sum(n18,n15)
    | ~ spl0_40
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f462,f1349]) ).

fof(f1351,plain,
    ( sk0_0 = n12
    | ~ spl0_40
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f439,f1350]) ).

fof(f1352,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1351,f502]) ).

fof(f1353,plain,
    ( ~ spl0_40
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f1352]) ).

fof(f1390,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(n7))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_28
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f807,f1274]) ).

fof(f1391,plain,
    ( sk0_0 = sum(pred(sum(n18,n8)),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_28
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f11,f1390]) ).

fof(f1392,plain,
    ( sk0_0 = sum(pred(n5),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_28
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f432,f1391]) ).

fof(f1393,plain,
    ( sk0_0 = sum(n4,sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_28
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f30,f1392]) ).

fof(f1394,plain,
    ( sk0_0 = sum(n4,sum(n7,pred(sum(n18,sk0_2))))
    | ~ spl0_28
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f807,f1393]) ).

fof(f1395,plain,
    ( sk0_0 = sum(n4,sum(n7,pred(sum(n18,n7))))
    | ~ spl0_28
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f807,f1394]) ).

fof(f1396,plain,
    ( sk0_0 = sum(n4,sum(n7,pred(n4)))
    | ~ spl0_28
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f431,f1395]) ).

fof(f1397,plain,
    ( sk0_0 = sum(n4,sum(n7,n3))
    | ~ spl0_28
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f29,f1396]) ).

fof(f1398,plain,
    ( sk0_0 = sum(n4,n10)
    | ~ spl0_28
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f196,f1397]) ).

fof(f1399,plain,
    ( sk0_0 = n14
    | ~ spl0_28
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f140,f1398]) ).

fof(f1400,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1399,f504]) ).

fof(f1401,plain,
    ( ~ spl0_28
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f1400]) ).

fof(f1402,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f782,f489]) ).

fof(f1403,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f782,f1402]) ).

fof(f1438,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(n6))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_27
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f804,f1308]) ).

fof(f1439,plain,
    ( sk0_0 = sum(pred(sum(n20,n7)),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_27
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f10,f1438]) ).

fof(f1440,plain,
    ( sk0_0 = sum(pred(n6),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_27
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f473,f1439]) ).

fof(f1441,plain,
    ( sk0_0 = sum(n5,sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_27
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f31,f1440]) ).

fof(f1442,plain,
    ( sk0_0 = sum(n5,sum(n6,pred(sum(n20,sk0_2))))
    | ~ spl0_27
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f804,f1441]) ).

fof(f1443,plain,
    ( sk0_0 = sum(n5,sum(n6,pred(sum(n20,n6))))
    | ~ spl0_27
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f804,f1442]) ).

fof(f1444,plain,
    ( sk0_0 = sum(n5,sum(n6,pred(n5)))
    | ~ spl0_27
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f472,f1443]) ).

fof(f1445,plain,
    ( sk0_0 = sum(n5,sum(n6,n4))
    | ~ spl0_27
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f30,f1444]) ).

fof(f1446,plain,
    ( sk0_0 = sum(n5,n10)
    | ~ spl0_27
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f176,f1445]) ).

fof(f1447,plain,
    ( sk0_0 = n15
    | ~ spl0_27
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f161,f1446]) ).

fof(f1448,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1447,f505]) ).

fof(f1449,plain,
    ( ~ spl0_27
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f1448]) ).

fof(f1472,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(sk0_2))),sum(sk0_2,pred(sum(n18,n9))))
    | ~ spl0_30
    | ~ spl0_18 ),
    inference(backward_demodulation,[status(thm)],[f813,f1205]) ).

fof(f1473,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(n9))),sum(sk0_2,pred(sum(n18,n9))))
    | ~ spl0_30
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f813,f1472]) ).

fof(f1474,plain,
    ( sk0_0 = sum(pred(sum(n18,n10)),sum(sk0_2,pred(sum(n18,n9))))
    | ~ spl0_30
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f13,f1473]) ).

fof(f1475,plain,
    ( sk0_0 = sum(pred(n7),sum(sk0_2,pred(sum(n18,n9))))
    | ~ spl0_30
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f434,f1474]) ).

fof(f1476,plain,
    ( sk0_0 = sum(n6,sum(sk0_2,pred(sum(n18,n9))))
    | ~ spl0_30
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f32,f1475]) ).

fof(f1477,plain,
    ( sk0_0 = sum(n6,sum(n9,pred(sum(n18,n9))))
    | ~ spl0_30
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f813,f1476]) ).

fof(f1478,plain,
    ( sk0_0 = sum(n6,sum(n9,pred(n6)))
    | ~ spl0_30
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f433,f1477]) ).

fof(f1479,plain,
    ( sk0_0 = sum(n6,sum(n9,n5))
    | ~ spl0_30
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f31,f1478]) ).

fof(f1480,plain,
    ( sk0_0 = sum(n6,n14)
    | ~ spl0_30
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f240,f1479]) ).

fof(f1481,plain,
    ( sk0_0 = n20
    | ~ spl0_30
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f186,f1480]) ).

fof(f1482,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1481,f510]) ).

fof(f1483,plain,
    ( ~ spl0_30
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f1482]) ).

fof(f1484,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f782,f489]) ).

fof(f1485,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f782,f1484]) ).

fof(f1506,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(sk0_2))),sum(sk0_2,pred(sum(n20,n8))))
    | ~ spl0_29
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f810,f1229]) ).

fof(f1507,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(n8))),sum(sk0_2,pred(sum(n20,n8))))
    | ~ spl0_29
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f810,f1506]) ).

fof(f1508,plain,
    ( sk0_0 = sum(pred(sum(n20,n9)),sum(sk0_2,pred(sum(n20,n8))))
    | ~ spl0_29
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f12,f1507]) ).

fof(f1509,plain,
    ( sk0_0 = sum(pred(n8),sum(sk0_2,pred(sum(n20,n8))))
    | ~ spl0_29
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f475,f1508]) ).

fof(f1510,plain,
    ( sk0_0 = sum(n7,sum(sk0_2,pred(sum(n20,n8))))
    | ~ spl0_29
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f33,f1509]) ).

fof(f1511,plain,
    ( sk0_0 = sum(n7,sum(n8,pred(sum(n20,n8))))
    | ~ spl0_29
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f810,f1510]) ).

fof(f1512,plain,
    ( sk0_0 = sum(n7,sum(n8,pred(n7)))
    | ~ spl0_29
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f474,f1511]) ).

fof(f1513,plain,
    ( sk0_0 = sum(n7,sum(n8,n6))
    | ~ spl0_29
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f32,f1512]) ).

fof(f1514,plain,
    ( sk0_0 = sum(n7,n14)
    | ~ spl0_29
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f220,f1513]) ).

fof(f1515,plain,
    ( sk0_0 = n0
    | ~ spl0_29
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f207,f1514]) ).

fof(f1516,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1515,f490]) ).

fof(f1517,plain,
    ( ~ spl0_29
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f1516]) ).

fof(f1540,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(sk0_2))),sum(sk0_2,pred(sum(n18,n11))))
    | ~ spl0_32
    | ~ spl0_18 ),
    inference(backward_demodulation,[status(thm)],[f819,f1205]) ).

fof(f1541,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(n11))),sum(sk0_2,pred(sum(n18,n11))))
    | ~ spl0_32
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f819,f1540]) ).

fof(f1542,plain,
    ( sk0_0 = sum(pred(sum(n18,n12)),sum(sk0_2,pred(sum(n18,n11))))
    | ~ spl0_32
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f15,f1541]) ).

fof(f1543,plain,
    ( sk0_0 = sum(pred(n9),sum(sk0_2,pred(sum(n18,n11))))
    | ~ spl0_32
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f436,f1542]) ).

fof(f1544,plain,
    ( sk0_0 = sum(n8,sum(sk0_2,pred(sum(n18,n11))))
    | ~ spl0_32
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f34,f1543]) ).

fof(f1545,plain,
    ( sk0_0 = sum(n8,sum(n11,pred(sum(n18,n11))))
    | ~ spl0_32
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f819,f1544]) ).

fof(f1546,plain,
    ( sk0_0 = sum(n8,sum(n11,pred(n8)))
    | ~ spl0_32
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f435,f1545]) ).

fof(f1547,plain,
    ( sk0_0 = sum(n8,sum(n11,n7))
    | ~ spl0_32
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f33,f1546]) ).

fof(f1548,plain,
    ( sk0_0 = sum(n8,n18)
    | ~ spl0_32
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f284,f1547]) ).

fof(f1549,plain,
    ( sk0_0 = n5
    | ~ spl0_32
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f232,f1548]) ).

fof(f1550,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1549,f495]) ).

fof(f1551,plain,
    ( ~ spl0_32
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f1550]) ).

fof(f1552,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f782,f489]) ).

fof(f1553,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f782,f1552]) ).

fof(f1590,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(n10))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_31
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f816,f1403]) ).

fof(f1591,plain,
    ( sk0_0 = sum(pred(sum(n20,n11)),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_31
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f14,f1590]) ).

fof(f1592,plain,
    ( sk0_0 = sum(pred(n10),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_31
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f477,f1591]) ).

fof(f1593,plain,
    ( sk0_0 = sum(n9,sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_31
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f35,f1592]) ).

fof(f1594,plain,
    ( sk0_0 = sum(n9,sum(n10,pred(sum(n20,sk0_2))))
    | ~ spl0_31
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f816,f1593]) ).

fof(f1595,plain,
    ( sk0_0 = sum(n9,sum(n10,pred(sum(n20,n10))))
    | ~ spl0_31
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f816,f1594]) ).

fof(f1596,plain,
    ( sk0_0 = sum(n9,sum(n10,pred(n9)))
    | ~ spl0_31
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f476,f1595]) ).

fof(f1597,plain,
    ( sk0_0 = sum(n9,sum(n10,n8))
    | ~ spl0_31
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f34,f1596]) ).

fof(f1598,plain,
    ( sk0_0 = sum(n9,n18)
    | ~ spl0_31
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f264,f1597]) ).

fof(f1599,plain,
    ( sk0_0 = n6
    | ~ spl0_31
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f253,f1598]) ).

fof(f1600,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1599,f496]) ).

fof(f1601,plain,
    ( ~ spl0_31
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f1600]) ).

fof(f1602,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_18 ),
    inference(backward_demodulation,[status(thm)],[f776,f489]) ).

fof(f1603,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(sk0_2))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f776,f1602]) ).

fof(f1641,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(n14))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_35
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f828,f1205]) ).

fof(f1642,plain,
    ( sk0_0 = sum(pred(sum(n18,n15)),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_35
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f18,f1641]) ).

fof(f1643,plain,
    ( sk0_0 = sum(pred(n12),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_35
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f439,f1642]) ).

fof(f1644,plain,
    ( sk0_0 = sum(n11,sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_35
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f37,f1643]) ).

fof(f1645,plain,
    ( sk0_0 = sum(n11,sum(n14,pred(sum(n18,sk0_2))))
    | ~ spl0_35
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f828,f1644]) ).

fof(f1646,plain,
    ( sk0_0 = sum(n11,sum(n14,pred(sum(n18,n14))))
    | ~ spl0_35
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f828,f1645]) ).

fof(f1647,plain,
    ( sk0_0 = sum(n11,sum(n14,pred(n11)))
    | ~ spl0_35
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f438,f1646]) ).

fof(f1648,plain,
    ( sk0_0 = sum(n11,sum(n14,n10))
    | ~ spl0_35
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f36,f1647]) ).

fof(f1649,plain,
    ( sk0_0 = sum(n11,n3)
    | ~ spl0_35
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f350,f1648]) ).

fof(f1650,plain,
    ( sk0_0 = n14
    | ~ spl0_35
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f280,f1649]) ).

fof(f1651,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1650,f504]) ).

fof(f1652,plain,
    ( ~ spl0_35
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f1651]) ).

fof(f1653,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f782,f489]) ).

fof(f1654,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f782,f1653]) ).

fof(f1692,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(n0))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_21
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f786,f1308]) ).

fof(f1693,plain,
    ( sk0_0 = sum(pred(sum(n20,n1)),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_21
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f4,f1692]) ).

fof(f1694,plain,
    ( sk0_0 = sum(pred(n0),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_21
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f467,f1693]) ).

fof(f1695,plain,
    ( sk0_0 = sum(n20,sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_21
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f25,f1694]) ).

fof(f1696,plain,
    ( sk0_0 = sum(n20,sum(n0,pred(sum(n20,sk0_2))))
    | ~ spl0_21
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f786,f1695]) ).

fof(f1697,plain,
    ( sk0_0 = sum(n20,sum(n0,pred(sum(n20,n0))))
    | ~ spl0_21
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f786,f1696]) ).

fof(f1698,plain,
    ( sk0_0 = sum(n20,sum(n0,pred(n20)))
    | ~ spl0_21
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f466,f1697]) ).

fof(f1699,plain,
    ( sk0_0 = sum(n20,sum(n0,n19))
    | ~ spl0_21
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f45,f1698]) ).

fof(f1700,plain,
    ( sk0_0 = sum(n20,n19)
    | ~ spl0_21
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f65,f1699]) ).

fof(f1701,plain,
    ( sk0_0 = n18
    | ~ spl0_21
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f485,f1700]) ).

fof(f1702,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1701,f508]) ).

fof(f1703,plain,
    ( ~ spl0_21
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f1702]) ).

fof(f1704,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_18 ),
    inference(backward_demodulation,[status(thm)],[f776,f489]) ).

fof(f1705,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(sk0_2))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f776,f1704]) ).

fof(f1726,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(sk0_2))),sum(sk0_2,pred(sum(n18,n13))))
    | ~ spl0_34
    | ~ spl0_18 ),
    inference(backward_demodulation,[status(thm)],[f825,f1603]) ).

fof(f1727,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(n13))),sum(sk0_2,pred(sum(n18,n13))))
    | ~ spl0_34
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f825,f1726]) ).

fof(f1728,plain,
    ( sk0_0 = sum(pred(sum(n18,n14)),sum(sk0_2,pred(sum(n18,n13))))
    | ~ spl0_34
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f17,f1727]) ).

fof(f1729,plain,
    ( sk0_0 = sum(pred(n11),sum(sk0_2,pred(sum(n18,n13))))
    | ~ spl0_34
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f438,f1728]) ).

fof(f1730,plain,
    ( sk0_0 = sum(n10,sum(sk0_2,pred(sum(n18,n13))))
    | ~ spl0_34
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f36,f1729]) ).

fof(f1731,plain,
    ( sk0_0 = sum(n10,sum(n13,pred(sum(n18,n13))))
    | ~ spl0_34
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f825,f1730]) ).

fof(f1732,plain,
    ( sk0_0 = sum(n10,sum(n13,pred(n10)))
    | ~ spl0_34
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f437,f1731]) ).

fof(f1733,plain,
    ( sk0_0 = sum(n10,sum(n13,n9))
    | ~ spl0_34
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f35,f1732]) ).

fof(f1734,plain,
    ( sk0_0 = sum(n10,n1)
    | ~ spl0_34
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f328,f1733]) ).

fof(f1735,plain,
    ( sk0_0 = n11
    | ~ spl0_34
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f257,f1734]) ).

fof(f1736,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1735,f501]) ).

fof(f1737,plain,
    ( ~ spl0_34
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f1736]) ).

fof(f1738,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f782,f489]) ).

fof(f1739,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f782,f1738]) ).

fof(f1778,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(n12))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_33
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f822,f1485]) ).

fof(f1779,plain,
    ( sk0_0 = sum(pred(sum(n20,n13)),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_33
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f16,f1778]) ).

fof(f1780,plain,
    ( sk0_0 = sum(pred(n12),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_33
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f479,f1779]) ).

fof(f1781,plain,
    ( sk0_0 = sum(n11,sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_33
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f37,f1780]) ).

fof(f1782,plain,
    ( sk0_0 = sum(n11,sum(n12,pred(sum(n20,sk0_2))))
    | ~ spl0_33
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f822,f1781]) ).

fof(f1783,plain,
    ( sk0_0 = sum(n11,sum(n12,pred(sum(n20,n12))))
    | ~ spl0_33
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f822,f1782]) ).

fof(f1784,plain,
    ( sk0_0 = sum(n11,sum(n12,pred(n11)))
    | ~ spl0_33
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f478,f1783]) ).

fof(f1785,plain,
    ( sk0_0 = sum(n11,sum(n12,n10))
    | ~ spl0_33
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f36,f1784]) ).

fof(f1786,plain,
    ( sk0_0 = sum(n11,n1)
    | ~ spl0_33
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f308,f1785]) ).

fof(f1787,plain,
    ( sk0_0 = n12
    | ~ spl0_33
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f278,f1786]) ).

fof(f1788,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1787,f502]) ).

fof(f1789,plain,
    ( ~ spl0_33
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f1788]) ).

fof(f1790,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_18 ),
    inference(backward_demodulation,[status(thm)],[f776,f489]) ).

fof(f1791,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(sk0_2))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f776,f1790]) ).

fof(f1830,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(n2))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_23
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f792,f1205]) ).

fof(f1831,plain,
    ( sk0_0 = sum(pred(sum(n18,n3)),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_23
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f6,f1830]) ).

fof(f1832,plain,
    ( sk0_0 = sum(pred(n0),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_23
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f427,f1831]) ).

fof(f1833,plain,
    ( sk0_0 = sum(n20,sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_23
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f25,f1832]) ).

fof(f1834,plain,
    ( sk0_0 = sum(n20,sum(n2,pred(sum(n18,sk0_2))))
    | ~ spl0_23
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f792,f1833]) ).

fof(f1835,plain,
    ( sk0_0 = sum(n20,sum(n2,pred(sum(n18,n2))))
    | ~ spl0_23
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f792,f1834]) ).

fof(f1836,plain,
    ( sk0_0 = sum(n20,sum(n2,pred(n20)))
    | ~ spl0_23
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f426,f1835]) ).

fof(f1837,plain,
    ( sk0_0 = sum(n20,sum(n2,n19))
    | ~ spl0_23
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f45,f1836]) ).

fof(f1838,plain,
    ( sk0_0 = sum(n20,n0)
    | ~ spl0_23
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f107,f1837]) ).

fof(f1839,plain,
    ( sk0_0 = n20
    | ~ spl0_23
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f466,f1838]) ).

fof(f1840,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1839,f510]) ).

fof(f1841,plain,
    ( ~ spl0_23
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f1840]) ).

fof(f1842,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f782,f489]) ).

fof(f1843,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(sk0_2))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f782,f1842]) ).

fof(f1882,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(n1))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_22
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f789,f1229]) ).

fof(f1883,plain,
    ( sk0_0 = sum(pred(sum(n20,n2)),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_22
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f5,f1882]) ).

fof(f1884,plain,
    ( sk0_0 = sum(pred(n1),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_22
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f468,f1883]) ).

fof(f1885,plain,
    ( sk0_0 = sum(n0,sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_22
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f26,f1884]) ).

fof(f1886,plain,
    ( sk0_0 = sum(n0,sum(n1,pred(sum(n20,sk0_2))))
    | ~ spl0_22
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f789,f1885]) ).

fof(f1887,plain,
    ( sk0_0 = sum(n0,sum(n1,pred(sum(n20,n1))))
    | ~ spl0_22
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f789,f1886]) ).

fof(f1888,plain,
    ( sk0_0 = sum(n0,sum(n1,pred(n0)))
    | ~ spl0_22
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f467,f1887]) ).

fof(f1889,plain,
    ( sk0_0 = sum(n0,sum(n1,n20))
    | ~ spl0_22
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f25,f1888]) ).

fof(f1890,plain,
    ( sk0_0 = sum(n0,n0)
    | ~ spl0_22
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f87,f1889]) ).

fof(f1891,plain,
    ( sk0_0 = n0
    | ~ spl0_22
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f46,f1890]) ).

fof(f1892,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1891,f490]) ).

fof(f1893,plain,
    ( ~ spl0_22
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f1892]) ).

fof(f1894,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n20))))
    | ~ spl0_41 ),
    inference(backward_demodulation,[status(thm)],[f846,f489]) ).

fof(f1895,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n20))),sum(sk0_2,pred(sum(sk0_1,n20))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f846,f1894]) ).

fof(f1896,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n0)),sum(sk0_2,pred(sum(sk0_1,n20))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f24,f1895]) ).

fof(f1897,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f846,f1896]) ).

fof(f1917,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(n20))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_41
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f846,f1705]) ).

fof(f1918,plain,
    ( sk0_0 = sum(pred(sum(n18,n0)),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_41
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f24,f1917]) ).

fof(f1919,plain,
    ( sk0_0 = sum(pred(n18),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_41
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f424,f1918]) ).

fof(f1920,plain,
    ( sk0_0 = sum(n17,sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_41
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f43,f1919]) ).

fof(f1921,plain,
    ( sk0_0 = sum(n17,sum(n20,pred(sum(n18,sk0_2))))
    | ~ spl0_41
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f846,f1920]) ).

fof(f1922,plain,
    ( sk0_0 = sum(n17,sum(n20,pred(sum(n18,n20))))
    | ~ spl0_41
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f846,f1921]) ).

fof(f1923,plain,
    ( sk0_0 = sum(n17,sum(n20,pred(n17)))
    | ~ spl0_41
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f444,f1922]) ).

fof(f1924,plain,
    ( sk0_0 = sum(n17,sum(n20,n16))
    | ~ spl0_41
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f42,f1923]) ).

fof(f1925,plain,
    ( sk0_0 = sum(n17,n15)
    | ~ spl0_41
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f482,f1924]) ).

fof(f1926,plain,
    ( sk0_0 = n11
    | ~ spl0_41
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f418,f1925]) ).

fof(f1927,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1926,f501]) ).

fof(f1928,plain,
    ( ~ spl0_41
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f1927]) ).

fof(f1970,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(n3))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_24
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f795,f1553]) ).

fof(f1971,plain,
    ( sk0_0 = sum(pred(sum(n20,n4)),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_24
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f7,f1970]) ).

fof(f1972,plain,
    ( sk0_0 = sum(pred(n3),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_24
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f470,f1971]) ).

fof(f1973,plain,
    ( sk0_0 = sum(n2,sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_24
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f28,f1972]) ).

fof(f1974,plain,
    ( sk0_0 = sum(n2,sum(n3,pred(sum(n20,sk0_2))))
    | ~ spl0_24
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f795,f1973]) ).

fof(f1975,plain,
    ( sk0_0 = sum(n2,sum(n3,pred(sum(n20,n3))))
    | ~ spl0_24
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f795,f1974]) ).

fof(f1976,plain,
    ( sk0_0 = sum(n2,sum(n3,pred(n2)))
    | ~ spl0_24
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f469,f1975]) ).

fof(f1977,plain,
    ( sk0_0 = sum(n2,sum(n3,n1))
    | ~ spl0_24
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f27,f1976]) ).

fof(f1978,plain,
    ( sk0_0 = sum(n2,n4)
    | ~ spl0_24
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f110,f1977]) ).

fof(f1979,plain,
    ( sk0_0 = n6
    | ~ spl0_24
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f92,f1978]) ).

fof(f1980,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1979,f496]) ).

fof(f1981,plain,
    ( ~ spl0_24
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f1980]) ).

fof(f1982,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n17))))
    | ~ spl0_38 ),
    inference(backward_demodulation,[status(thm)],[f837,f489]) ).

fof(f1983,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n17))),sum(sk0_2,pred(sum(sk0_1,n17))))
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f837,f1982]) ).

fof(f1984,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n18)),sum(sk0_2,pred(sum(sk0_1,n17))))
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f21,f1983]) ).

fof(f1985,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f837,f1984]) ).

fof(f2024,plain,
    ( sk0_0 = sum(pred(sum(n18,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f776,f1985]) ).

fof(f2025,plain,
    ( sk0_0 = sum(pred(n15),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f442,f2024]) ).

fof(f2026,plain,
    ( sk0_0 = sum(n14,sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f40,f2025]) ).

fof(f2027,plain,
    ( sk0_0 = sum(n14,sum(n17,pred(sum(n18,n17))))
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f776,f2026]) ).

fof(f2028,plain,
    ( sk0_0 = sum(n14,sum(n17,pred(n14)))
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f441,f2027]) ).

fof(f2029,plain,
    ( sk0_0 = sum(n14,sum(n17,n13))
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f39,f2028]) ).

fof(f2030,plain,
    ( sk0_0 = sum(n14,n9)
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f416,f2029]) ).

fof(f2031,plain,
    ( sk0_0 = n2
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f349,f2030]) ).

fof(f2032,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2031,f492]) ).

fof(f2033,plain,
    ( ~ spl0_18
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f2032]) ).

fof(f2070,plain,
    ( sk0_0 = sum(pred(sum(n14,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_14
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f764,f1173]) ).

fof(f2071,plain,
    ( sk0_0 = sum(pred(n9),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_14
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f356,f2070]) ).

fof(f2072,plain,
    ( sk0_0 = sum(n8,sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_14
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f34,f2071]) ).

fof(f2073,plain,
    ( sk0_0 = sum(n8,sum(n15,pred(sum(n14,n15))))
    | ~ spl0_14
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f764,f2072]) ).

fof(f2074,plain,
    ( sk0_0 = sum(n8,sum(n15,pred(n8)))
    | ~ spl0_14
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f355,f2073]) ).

fof(f2075,plain,
    ( sk0_0 = sum(n8,sum(n15,n7))
    | ~ spl0_14
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f33,f2074]) ).

fof(f2076,plain,
    ( sk0_0 = sum(n8,n1)
    | ~ spl0_14
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f368,f2075]) ).

fof(f2077,plain,
    ( sk0_0 = n9
    | ~ spl0_14
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f215,f2076]) ).

fof(f2078,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2077,f499]) ).

fof(f2079,plain,
    ( ~ spl0_14
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f2078]) ).

fof(f2080,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n15))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f831,f489]) ).

fof(f2081,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n16)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f19,f2080]) ).

fof(f2082,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n16)),sum(n15,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f831,f2081]) ).

fof(f2083,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f831,f2082]) ).

fof(f2085,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n16)),sum(n15,pred(sum(n10,n15))))
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(backward_demodulation,[status(thm)],[f752,f2083]) ).

fof(f2086,plain,
    ( sk0_0 = sum(pred(sum(n10,n16)),sum(n15,pred(sum(n10,n15))))
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f752,f2085]) ).

fof(f2087,plain,
    ( sk0_0 = sum(pred(n5),sum(n15,pred(sum(n10,n15))))
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f272,f2086]) ).

fof(f2088,plain,
    ( sk0_0 = sum(n4,sum(n15,pred(sum(n10,n15))))
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f30,f2087]) ).

fof(f2089,plain,
    ( sk0_0 = sum(n4,sum(n15,pred(n4)))
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f271,f2088]) ).

fof(f2090,plain,
    ( sk0_0 = sum(n4,sum(n15,n3))
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f29,f2089]) ).

fof(f2091,plain,
    ( sk0_0 = sum(n4,n18)
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f364,f2090]) ).

fof(f2092,plain,
    ( sk0_0 = n1
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f148,f2091]) ).

fof(f2093,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2092,f491]) ).

fof(f2094,plain,
    ( ~ spl0_10
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f2093]) ).

fof(f2114,plain,
    ( sk0_0 = sum(pred(sum(n6,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_6
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f740,f1173]) ).

fof(f2115,plain,
    ( sk0_0 = sum(pred(n1),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_6
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f188,f2114]) ).

fof(f2116,plain,
    ( sk0_0 = sum(n0,sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_6
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f26,f2115]) ).

fof(f2117,plain,
    ( sk0_0 = sum(n0,sum(n15,pred(sum(n6,n15))))
    | ~ spl0_6
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f740,f2116]) ).

fof(f2118,plain,
    ( sk0_0 = sum(n0,sum(n15,pred(n0)))
    | ~ spl0_6
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f187,f2117]) ).

fof(f2119,plain,
    ( sk0_0 = sum(n0,sum(n15,n20))
    | ~ spl0_6
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f25,f2118]) ).

fof(f2120,plain,
    ( sk0_0 = sum(n0,n14)
    | ~ spl0_6
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f381,f2119]) ).

fof(f2121,plain,
    ( sk0_0 = n14
    | ~ spl0_6
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f60,f2120]) ).

fof(f2122,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2121,f504]) ).

fof(f2123,plain,
    ( ~ spl0_6
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f2122]) ).

fof(f2143,plain,
    ( sk0_0 = sum(pred(sum(n17,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_17
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f773,f2083]) ).

fof(f2144,plain,
    ( sk0_0 = sum(pred(n12),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_17
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f419,f2143]) ).

fof(f2145,plain,
    ( sk0_0 = sum(n11,sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_17
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f37,f2144]) ).

fof(f2146,plain,
    ( sk0_0 = sum(n11,sum(n15,pred(sum(n17,n15))))
    | ~ spl0_17
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f773,f2145]) ).

fof(f2147,plain,
    ( sk0_0 = sum(n11,sum(n15,pred(n11)))
    | ~ spl0_17
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f418,f2146]) ).

fof(f2148,plain,
    ( sk0_0 = sum(n11,sum(n15,n10))
    | ~ spl0_17
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f36,f2147]) ).

fof(f2149,plain,
    ( sk0_0 = sum(n11,n4)
    | ~ spl0_17
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f371,f2148]) ).

fof(f2150,plain,
    ( sk0_0 = n15
    | ~ spl0_17
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f281,f2149]) ).

fof(f2151,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2150,f505]) ).

fof(f2152,plain,
    ( ~ spl0_17
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f2151]) ).

fof(f2173,plain,
    ( sk0_0 = sum(pred(sum(n16,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f770,f1173]) ).

fof(f2174,plain,
    ( sk0_0 = sum(pred(n11),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f398,f2173]) ).

fof(f2175,plain,
    ( sk0_0 = sum(n10,sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f36,f2174]) ).

fof(f2176,plain,
    ( sk0_0 = sum(n10,sum(n15,pred(sum(n16,n15))))
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f770,f2175]) ).

fof(f2177,plain,
    ( sk0_0 = sum(n10,sum(n15,pred(n10)))
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f397,f2176]) ).

fof(f2178,plain,
    ( sk0_0 = sum(n10,sum(n15,n9))
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f35,f2177]) ).

fof(f2179,plain,
    ( sk0_0 = sum(n10,n3)
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f370,f2178]) ).

fof(f2180,plain,
    ( sk0_0 = n13
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f259,f2179]) ).

fof(f2181,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2180,f503]) ).

fof(f2182,plain,
    ( ~ spl0_16
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f2181]) ).

fof(f2183,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(n15))),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_36
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f831,f1086]) ).

fof(f2184,plain,
    ( sk0_0 = sum(pred(sum(n15,n16)),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_36
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f19,f2183]) ).

fof(f2185,plain,
    ( sk0_0 = sum(pred(n10),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_36
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f377,f2184]) ).

fof(f2186,plain,
    ( sk0_0 = sum(n9,sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_36
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f35,f2185]) ).

fof(f2187,plain,
    ( sk0_0 = sum(n9,sum(n15,pred(sum(n15,sk0_2))))
    | ~ spl0_36
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f831,f2186]) ).

fof(f2188,plain,
    ( sk0_0 = sum(n9,sum(n15,pred(sum(n15,n15))))
    | ~ spl0_36
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f831,f2187]) ).

fof(f2189,plain,
    ( sk0_0 = sum(n9,sum(n15,pred(n9)))
    | ~ spl0_36
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f376,f2188]) ).

fof(f2190,plain,
    ( sk0_0 = sum(n9,sum(n15,n8))
    | ~ spl0_36
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f34,f2189]) ).

fof(f2191,plain,
    ( sk0_0 = sum(n9,n2)
    | ~ spl0_36
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f369,f2190]) ).

fof(f2192,plain,
    ( sk0_0 = n11
    | ~ spl0_36
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f237,f2191]) ).

fof(f2193,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2192,f501]) ).

fof(f2194,plain,
    ( ~ spl0_36
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f2193]) ).

fof(f2215,plain,
    ( sk0_0 = sum(pred(sum(n19,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_19
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f779,f2083]) ).

fof(f2216,plain,
    ( sk0_0 = sum(pred(n14),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_19
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f461,f2215]) ).

fof(f2217,plain,
    ( sk0_0 = sum(n13,sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_19
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f39,f2216]) ).

fof(f2218,plain,
    ( sk0_0 = sum(n13,sum(n15,pred(sum(n19,n15))))
    | ~ spl0_19
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f779,f2217]) ).

fof(f2219,plain,
    ( sk0_0 = sum(n13,sum(n15,pred(n13)))
    | ~ spl0_19
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f460,f2218]) ).

fof(f2220,plain,
    ( sk0_0 = sum(n13,sum(n15,n12))
    | ~ spl0_19
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f38,f2219]) ).

fof(f2221,plain,
    ( sk0_0 = sum(n13,n6)
    | ~ spl0_19
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f373,f2220]) ).

fof(f2222,plain,
    ( sk0_0 = n19
    | ~ spl0_19
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f325,f2221]) ).

fof(f2223,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2222,f509]) ).

fof(f2224,plain,
    ( ~ spl0_19
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f2223]) ).

fof(f2244,plain,
    ( sk0_0 = sum(pred(sum(n0,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_0
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f722,f1173]) ).

fof(f2245,plain,
    ( sk0_0 = sum(pred(n16),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_0
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f62,f2244]) ).

fof(f2246,plain,
    ( sk0_0 = sum(n15,sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_0
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f41,f2245]) ).

fof(f2247,plain,
    ( sk0_0 = sum(n15,sum(n15,pred(sum(n0,n15))))
    | ~ spl0_0
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f722,f2246]) ).

fof(f2248,plain,
    ( sk0_0 = sum(n15,sum(n15,pred(n15)))
    | ~ spl0_0
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f61,f2247]) ).

fof(f2249,plain,
    ( sk0_0 = sum(n15,sum(n15,n14))
    | ~ spl0_0
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f40,f2248]) ).

fof(f2250,plain,
    ( sk0_0 = sum(n15,n8)
    | ~ spl0_0
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f375,f2249]) ).

fof(f2251,plain,
    ( sk0_0 = n2
    | ~ spl0_0
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f369,f2250]) ).

fof(f2252,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2251,f492]) ).

fof(f2253,plain,
    ( ~ spl0_0
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f2252]) ).

fof(f2254,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(n15))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_36
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f831,f1403]) ).

fof(f2255,plain,
    ( sk0_0 = sum(pred(sum(n20,n16)),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_36
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f19,f2254]) ).

fof(f2256,plain,
    ( sk0_0 = sum(pred(n15),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_36
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f482,f2255]) ).

fof(f2257,plain,
    ( sk0_0 = sum(n14,sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_36
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f40,f2256]) ).

fof(f2258,plain,
    ( sk0_0 = sum(n14,sum(n15,pred(sum(n20,sk0_2))))
    | ~ spl0_36
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f831,f2257]) ).

fof(f2259,plain,
    ( sk0_0 = sum(n14,sum(n15,pred(sum(n20,n15))))
    | ~ spl0_36
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f831,f2258]) ).

fof(f2260,plain,
    ( sk0_0 = sum(n14,sum(n15,pred(n14)))
    | ~ spl0_36
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f481,f2259]) ).

fof(f2261,plain,
    ( sk0_0 = sum(n14,sum(n15,n13))
    | ~ spl0_36
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f39,f2260]) ).

fof(f2262,plain,
    ( sk0_0 = sum(n14,n7)
    | ~ spl0_36
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f374,f2261]) ).

fof(f2263,plain,
    ( sk0_0 = n0
    | ~ spl0_36
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f347,f2262]) ).

fof(f2264,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2263,f490]) ).

fof(f2265,plain,
    ( ~ spl0_36
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f2264]) ).

fof(f2266,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n16))))
    | ~ spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f834,f489]) ).

fof(f2267,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n16))),sum(sk0_2,pred(sum(sk0_1,n16))))
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f834,f2266]) ).

fof(f2268,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n17)),sum(sk0_2,pred(sum(sk0_1,n16))))
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f20,f2267]) ).

fof(f2269,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n17)),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f834,f2268]) ).

fof(f2308,plain,
    ( sk0_0 = sum(pred(sum(n14,n17)),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_14
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f764,f2269]) ).

fof(f2309,plain,
    ( sk0_0 = sum(pred(n10),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_14
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f357,f2308]) ).

fof(f2310,plain,
    ( sk0_0 = sum(n9,sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_14
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f35,f2309]) ).

fof(f2311,plain,
    ( sk0_0 = sum(n9,sum(n16,pred(sum(n14,n16))))
    | ~ spl0_14
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f764,f2310]) ).

fof(f2312,plain,
    ( sk0_0 = sum(n9,sum(n16,pred(n9)))
    | ~ spl0_14
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f356,f2311]) ).

fof(f2313,plain,
    ( sk0_0 = sum(n9,sum(n16,n8))
    | ~ spl0_14
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f34,f2312]) ).

fof(f2314,plain,
    ( sk0_0 = sum(n9,n3)
    | ~ spl0_14
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f390,f2313]) ).

fof(f2315,plain,
    ( sk0_0 = n12
    | ~ spl0_14
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f238,f2314]) ).

fof(f2316,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2315,f502]) ).

fof(f2317,plain,
    ( ~ spl0_14
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f2316]) ).

fof(f2330,plain,
    ( sk0_0 = sum(pred(sum(n14,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f764,f489]) ).

fof(f2331,plain,
    ( sk0_0 = sum(pred(sum(n14,succ(sk0_2))),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f764,f2330]) ).

fof(f2351,plain,
    ( sk0_0 = sum(pred(sum(n14,succ(n18))),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_39
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f840,f2331]) ).

fof(f2352,plain,
    ( sk0_0 = sum(pred(sum(n14,n19)),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_39
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f22,f2351]) ).

fof(f2353,plain,
    ( sk0_0 = sum(pred(n12),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_39
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f359,f2352]) ).

fof(f2354,plain,
    ( sk0_0 = sum(n11,sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_39
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f37,f2353]) ).

fof(f2355,plain,
    ( sk0_0 = sum(n11,sum(n18,pred(sum(n14,sk0_2))))
    | ~ spl0_39
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f840,f2354]) ).

fof(f2356,plain,
    ( sk0_0 = sum(n11,sum(n18,pred(sum(n14,n18))))
    | ~ spl0_39
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f840,f2355]) ).

fof(f2357,plain,
    ( sk0_0 = sum(n11,sum(n18,pred(n11)))
    | ~ spl0_39
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f358,f2356]) ).

fof(f2358,plain,
    ( sk0_0 = sum(n11,sum(n18,n10))
    | ~ spl0_39
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f36,f2357]) ).

fof(f2359,plain,
    ( sk0_0 = sum(n11,n7)
    | ~ spl0_39
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f434,f2358]) ).

fof(f2360,plain,
    ( sk0_0 = n18
    | ~ spl0_39
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f284,f2359]) ).

fof(f2361,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2360,f508]) ).

fof(f2362,plain,
    ( ~ spl0_39
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f2361]) ).

fof(f2382,plain,
    ( sk0_0 = sum(pred(sum(n14,succ(n7))),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_28
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f807,f2331]) ).

fof(f2383,plain,
    ( sk0_0 = sum(pred(sum(n14,n8)),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_28
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f11,f2382]) ).

fof(f2384,plain,
    ( sk0_0 = sum(pred(n1),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_28
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f348,f2383]) ).

fof(f2385,plain,
    ( sk0_0 = sum(n0,sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_28
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f26,f2384]) ).

fof(f2386,plain,
    ( sk0_0 = sum(n0,sum(n7,pred(sum(n14,sk0_2))))
    | ~ spl0_28
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f807,f2385]) ).

fof(f2387,plain,
    ( sk0_0 = sum(n0,sum(n7,pred(sum(n14,n7))))
    | ~ spl0_28
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f807,f2386]) ).

fof(f2388,plain,
    ( sk0_0 = sum(n0,sum(n7,pred(n0)))
    | ~ spl0_28
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f347,f2387]) ).

fof(f2389,plain,
    ( sk0_0 = sum(n0,sum(n7,n20))
    | ~ spl0_28
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f25,f2388]) ).

fof(f2390,plain,
    ( sk0_0 = sum(n0,n6)
    | ~ spl0_28
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f213,f2389]) ).

fof(f2391,plain,
    ( sk0_0 = n6
    | ~ spl0_28
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f52,f2390]) ).

fof(f2392,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2391,f496]) ).

fof(f2393,plain,
    ( ~ spl0_28
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f2392]) ).

fof(f2428,plain,
    ( sk0_0 = sum(pred(sum(n14,succ(n9))),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_30
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f813,f2331]) ).

fof(f2429,plain,
    ( sk0_0 = sum(pred(sum(n14,n10)),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_30
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f13,f2428]) ).

fof(f2430,plain,
    ( sk0_0 = sum(pred(n3),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_30
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f350,f2429]) ).

fof(f2431,plain,
    ( sk0_0 = sum(n2,sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_30
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f28,f2430]) ).

fof(f2432,plain,
    ( sk0_0 = sum(n2,sum(n9,pred(sum(n14,sk0_2))))
    | ~ spl0_30
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f813,f2431]) ).

fof(f2433,plain,
    ( sk0_0 = sum(n2,sum(n9,pred(sum(n14,n9))))
    | ~ spl0_30
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f813,f2432]) ).

fof(f2434,plain,
    ( sk0_0 = sum(n2,sum(n9,pred(n2)))
    | ~ spl0_30
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f349,f2433]) ).

fof(f2435,plain,
    ( sk0_0 = sum(n2,sum(n9,n1))
    | ~ spl0_30
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f27,f2434]) ).

fof(f2436,plain,
    ( sk0_0 = sum(n2,n10)
    | ~ spl0_30
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f236,f2435]) ).

fof(f2437,plain,
    ( sk0_0 = n12
    | ~ spl0_30
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f98,f2436]) ).

fof(f2438,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2437,f502]) ).

fof(f2439,plain,
    ( ~ spl0_30
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f2438]) ).

fof(f2475,plain,
    ( sk0_0 = sum(pred(sum(n14,succ(n11))),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_32
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f819,f2331]) ).

fof(f2476,plain,
    ( sk0_0 = sum(pred(sum(n14,n12)),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_32
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f15,f2475]) ).

fof(f2477,plain,
    ( sk0_0 = sum(pred(n5),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_32
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f352,f2476]) ).

fof(f2478,plain,
    ( sk0_0 = sum(n4,sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_32
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f30,f2477]) ).

fof(f2479,plain,
    ( sk0_0 = sum(n4,sum(n11,pred(sum(n14,sk0_2))))
    | ~ spl0_32
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f819,f2478]) ).

fof(f2480,plain,
    ( sk0_0 = sum(n4,sum(n11,pred(sum(n14,n11))))
    | ~ spl0_32
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f819,f2479]) ).

fof(f2481,plain,
    ( sk0_0 = sum(n4,sum(n11,pred(n4)))
    | ~ spl0_32
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f351,f2480]) ).

fof(f2482,plain,
    ( sk0_0 = sum(n4,sum(n11,n3))
    | ~ spl0_32
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f29,f2481]) ).

fof(f2483,plain,
    ( sk0_0 = sum(n4,n14)
    | ~ spl0_32
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f280,f2482]) ).

fof(f2484,plain,
    ( sk0_0 = n18
    | ~ spl0_32
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f144,f2483]) ).

fof(f2485,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2484,f508]) ).

fof(f2486,plain,
    ( ~ spl0_32
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f2485]) ).

fof(f2506,plain,
    ( sk0_0 = sum(pred(sum(n14,succ(n14))),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_35
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f828,f2331]) ).

fof(f2507,plain,
    ( sk0_0 = sum(pred(sum(n14,n15)),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_35
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f18,f2506]) ).

fof(f2508,plain,
    ( sk0_0 = sum(pred(n8),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_35
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f355,f2507]) ).

fof(f2509,plain,
    ( sk0_0 = sum(n7,sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_35
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f33,f2508]) ).

fof(f2510,plain,
    ( sk0_0 = sum(n7,sum(n14,pred(sum(n14,sk0_2))))
    | ~ spl0_35
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f828,f2509]) ).

fof(f2511,plain,
    ( sk0_0 = sum(n7,sum(n14,pred(sum(n14,n14))))
    | ~ spl0_35
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f828,f2510]) ).

fof(f2512,plain,
    ( sk0_0 = sum(n7,sum(n14,pred(n7)))
    | ~ spl0_35
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f354,f2511]) ).

fof(f2513,plain,
    ( sk0_0 = sum(n7,sum(n14,n6))
    | ~ spl0_35
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f32,f2512]) ).

fof(f2514,plain,
    ( sk0_0 = sum(n7,n20)
    | ~ spl0_35
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f346,f2513]) ).

fof(f2515,plain,
    ( sk0_0 = n6
    | ~ spl0_35
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f213,f2514]) ).

fof(f2516,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2515,f496]) ).

fof(f2517,plain,
    ( ~ spl0_35
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f2516]) ).

fof(f2554,plain,
    ( sk0_0 = sum(pred(sum(n14,succ(n13))),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_34
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f825,f2331]) ).

fof(f2555,plain,
    ( sk0_0 = sum(pred(sum(n14,n14)),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_34
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f17,f2554]) ).

fof(f2556,plain,
    ( sk0_0 = sum(pred(n7),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_34
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f354,f2555]) ).

fof(f2557,plain,
    ( sk0_0 = sum(n6,sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_34
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f32,f2556]) ).

fof(f2558,plain,
    ( sk0_0 = sum(n6,sum(n13,pred(sum(n14,sk0_2))))
    | ~ spl0_34
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f825,f2557]) ).

fof(f2559,plain,
    ( sk0_0 = sum(n6,sum(n13,pred(sum(n14,n13))))
    | ~ spl0_34
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f825,f2558]) ).

fof(f2560,plain,
    ( sk0_0 = sum(n6,sum(n13,pred(n6)))
    | ~ spl0_34
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f353,f2559]) ).

fof(f2561,plain,
    ( sk0_0 = sum(n6,sum(n13,n5))
    | ~ spl0_34
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f31,f2560]) ).

fof(f2562,plain,
    ( sk0_0 = sum(n6,n18)
    | ~ spl0_34
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f324,f2561]) ).

fof(f2563,plain,
    ( sk0_0 = n3
    | ~ spl0_34
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f190,f2562]) ).

fof(f2564,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2563,f493]) ).

fof(f2565,plain,
    ( ~ spl0_34
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f2564]) ).

fof(f2584,plain,
    ( sk0_0 = sum(pred(sum(n14,succ(n2))),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f792,f2331]) ).

fof(f2585,plain,
    ( sk0_0 = sum(pred(sum(n14,n3)),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f6,f2584]) ).

fof(f2586,plain,
    ( sk0_0 = sum(pred(n17),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f343,f2585]) ).

fof(f2587,plain,
    ( sk0_0 = sum(n16,sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f42,f2586]) ).

fof(f2588,plain,
    ( sk0_0 = sum(n16,sum(n2,pred(sum(n14,sk0_2))))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f792,f2587]) ).

fof(f2589,plain,
    ( sk0_0 = sum(n16,sum(n2,pred(sum(n14,n2))))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f792,f2588]) ).

fof(f2590,plain,
    ( sk0_0 = sum(n16,sum(n2,pred(n16)))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f342,f2589]) ).

fof(f2591,plain,
    ( sk0_0 = sum(n16,sum(n2,n15))
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f41,f2590]) ).

fof(f2592,plain,
    ( sk0_0 = sum(n16,n17)
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f103,f2591]) ).

fof(f2593,plain,
    ( sk0_0 = n12
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f399,f2592]) ).

fof(f2594,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2593,f502]) ).

fof(f2595,plain,
    ( ~ spl0_23
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f2594]) ).

fof(f2596,plain,
    ( sk0_0 = sum(pred(sum(n14,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_14
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f764,f1897]) ).

fof(f2597,plain,
    ( sk0_0 = sum(pred(n14),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_14
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f340,f2596]) ).

fof(f2598,plain,
    ( sk0_0 = sum(n13,sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_14
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f39,f2597]) ).

fof(f2599,plain,
    ( sk0_0 = sum(n13,sum(n20,pred(sum(n14,n20))))
    | ~ spl0_14
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f764,f2598]) ).

fof(f2600,plain,
    ( sk0_0 = sum(n13,sum(n20,pred(n13)))
    | ~ spl0_14
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f360,f2599]) ).

fof(f2601,plain,
    ( sk0_0 = sum(n13,sum(n20,n12))
    | ~ spl0_14
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f38,f2600]) ).

fof(f2602,plain,
    ( sk0_0 = sum(n13,n11)
    | ~ spl0_14
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f478,f2601]) ).

fof(f2603,plain,
    ( sk0_0 = n3
    | ~ spl0_14
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f330,f2602]) ).

fof(f2604,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2603,f493]) ).

fof(f2605,plain,
    ( ~ spl0_14
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f2604]) ).

fof(f2606,plain,
    ( sk0_0 = sum(pred(sum(n14,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_14
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f764,f1985]) ).

fof(f2607,plain,
    ( sk0_0 = sum(pred(n11),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_14
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f358,f2606]) ).

fof(f2608,plain,
    ( sk0_0 = sum(n10,sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_14
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f36,f2607]) ).

fof(f2609,plain,
    ( sk0_0 = sum(n10,sum(n17,pred(sum(n14,n17))))
    | ~ spl0_14
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f764,f2608]) ).

fof(f2610,plain,
    ( sk0_0 = sum(n10,sum(n17,pred(n10)))
    | ~ spl0_14
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f357,f2609]) ).

fof(f2611,plain,
    ( sk0_0 = sum(n10,sum(n17,n9))
    | ~ spl0_14
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f35,f2610]) ).

fof(f2612,plain,
    ( sk0_0 = sum(n10,n5)
    | ~ spl0_14
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f412,f2611]) ).

fof(f2613,plain,
    ( sk0_0 = n15
    | ~ spl0_14
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f261,f2612]) ).

fof(f2614,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2613,f505]) ).

fof(f2615,plain,
    ( ~ spl0_14
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f2614]) ).

fof(f2635,plain,
    ( sk0_0 = sum(pred(sum(n14,succ(n3))),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f795,f2331]) ).

fof(f2636,plain,
    ( sk0_0 = sum(pred(sum(n14,n4)),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f7,f2635]) ).

fof(f2637,plain,
    ( sk0_0 = sum(pred(n18),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f344,f2636]) ).

fof(f2638,plain,
    ( sk0_0 = sum(n17,sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f43,f2637]) ).

fof(f2639,plain,
    ( sk0_0 = sum(n17,sum(n3,pred(sum(n14,sk0_2))))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f795,f2638]) ).

fof(f2640,plain,
    ( sk0_0 = sum(n17,sum(n3,pred(sum(n14,n3))))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f795,f2639]) ).

fof(f2641,plain,
    ( sk0_0 = sum(n17,sum(n3,pred(n17)))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f343,f2640]) ).

fof(f2642,plain,
    ( sk0_0 = sum(n17,sum(n3,n16))
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f42,f2641]) ).

fof(f2643,plain,
    ( sk0_0 = sum(n17,n19)
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f125,f2642]) ).

fof(f2644,plain,
    ( sk0_0 = n15
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f422,f2643]) ).

fof(f2645,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2644,f505]) ).

fof(f2646,plain,
    ( ~ spl0_24
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f2645]) ).

fof(f2685,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(n19))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_40
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f843,f1603]) ).

fof(f2686,plain,
    ( sk0_0 = sum(pred(sum(n18,n20)),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_40
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f23,f2685]) ).

fof(f2687,plain,
    ( sk0_0 = sum(pred(n17),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_40
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f444,f2686]) ).

fof(f2688,plain,
    ( sk0_0 = sum(n16,sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_40
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f42,f2687]) ).

fof(f2689,plain,
    ( sk0_0 = sum(n16,sum(n19,pred(sum(n18,sk0_2))))
    | ~ spl0_40
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f843,f2688]) ).

fof(f2690,plain,
    ( sk0_0 = sum(n16,sum(n19,pred(sum(n18,n19))))
    | ~ spl0_40
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f843,f2689]) ).

fof(f2691,plain,
    ( sk0_0 = sum(n16,sum(n19,pred(n16)))
    | ~ spl0_40
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f443,f2690]) ).

fof(f2692,plain,
    ( sk0_0 = sum(n16,sum(n19,n15))
    | ~ spl0_40
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f41,f2691]) ).

fof(f2693,plain,
    ( sk0_0 = sum(n16,n13)
    | ~ spl0_40
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f460,f2692]) ).

fof(f2694,plain,
    ( sk0_0 = n8
    | ~ spl0_40
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f395,f2693]) ).

fof(f2695,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2694,f498]) ).

fof(f2696,plain,
    ( ~ spl0_40
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f2695]) ).

fof(f2714,plain,
    ( sk0_0 = sum(pred(sum(n12,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f758,f489]) ).

fof(f2715,plain,
    ( sk0_0 = sum(pred(sum(n12,succ(sk0_2))),sum(sk0_2,pred(sum(n12,sk0_2))))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f758,f2714]) ).

fof(f2716,plain,
    ( sk0_0 = sum(pred(sum(n12,succ(sk0_2))),sum(sk0_2,pred(sum(n12,n15))))
    | ~ spl0_36
    | ~ spl0_12 ),
    inference(backward_demodulation,[status(thm)],[f831,f2715]) ).

fof(f2717,plain,
    ( sk0_0 = sum(pred(sum(n12,succ(n15))),sum(sk0_2,pred(sum(n12,n15))))
    | ~ spl0_36
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f831,f2716]) ).

fof(f2718,plain,
    ( sk0_0 = sum(pred(sum(n12,n16)),sum(sk0_2,pred(sum(n12,n15))))
    | ~ spl0_36
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f19,f2717]) ).

fof(f2719,plain,
    ( sk0_0 = sum(pred(n7),sum(sk0_2,pred(sum(n12,n15))))
    | ~ spl0_36
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f314,f2718]) ).

fof(f2720,plain,
    ( sk0_0 = sum(n6,sum(sk0_2,pred(sum(n12,n15))))
    | ~ spl0_36
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f32,f2719]) ).

fof(f2721,plain,
    ( sk0_0 = sum(n6,sum(n15,pred(sum(n12,n15))))
    | ~ spl0_36
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f831,f2720]) ).

fof(f2722,plain,
    ( sk0_0 = sum(n6,sum(n15,pred(n6)))
    | ~ spl0_36
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f313,f2721]) ).

fof(f2723,plain,
    ( sk0_0 = sum(n6,sum(n15,n5))
    | ~ spl0_36
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f31,f2722]) ).

fof(f2724,plain,
    ( sk0_0 = sum(n6,n20)
    | ~ spl0_36
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f366,f2723]) ).

fof(f2725,plain,
    ( sk0_0 = n5
    | ~ spl0_36
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f192,f2724]) ).

fof(f2726,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2725,f495]) ).

fof(f2727,plain,
    ( ~ spl0_36
    | ~ spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f2726]) ).

fof(f2748,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n15))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f831,f489]) ).

fof(f2749,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n16)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f19,f2748]) ).

fof(f2750,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n16)),sum(n15,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f831,f2749]) ).

fof(f2751,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f831,f2750]) ).

fof(f2771,plain,
    ( sk0_0 = sum(pred(sum(n8,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f746,f2083]) ).

fof(f2772,plain,
    ( sk0_0 = sum(pred(n3),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f230,f2771]) ).

fof(f2773,plain,
    ( sk0_0 = sum(n2,sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f28,f2772]) ).

fof(f2774,plain,
    ( sk0_0 = sum(n2,sum(n15,pred(sum(n8,n15))))
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f746,f2773]) ).

fof(f2775,plain,
    ( sk0_0 = sum(n2,sum(n15,pred(n2)))
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f229,f2774]) ).

fof(f2776,plain,
    ( sk0_0 = sum(n2,sum(n15,n1))
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f27,f2775]) ).

fof(f2777,plain,
    ( sk0_0 = sum(n2,n16)
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f362,f2776]) ).

fof(f2778,plain,
    ( sk0_0 = n18
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f104,f2777]) ).

fof(f2779,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2778,f508]) ).

fof(f2780,plain,
    ( ~ spl0_8
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f2779]) ).

fof(f2800,plain,
    ( sk0_0 = sum(pred(sum(n9,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_9
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f749,f1173]) ).

fof(f2801,plain,
    ( sk0_0 = sum(pred(n4),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_9
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f251,f2800]) ).

fof(f2802,plain,
    ( sk0_0 = sum(n3,sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_9
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f29,f2801]) ).

fof(f2803,plain,
    ( sk0_0 = sum(n3,sum(n15,pred(sum(n9,n15))))
    | ~ spl0_9
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f749,f2802]) ).

fof(f2804,plain,
    ( sk0_0 = sum(n3,sum(n15,pred(n3)))
    | ~ spl0_9
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f250,f2803]) ).

fof(f2805,plain,
    ( sk0_0 = sum(n3,sum(n15,n2))
    | ~ spl0_9
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f28,f2804]) ).

fof(f2806,plain,
    ( sk0_0 = sum(n3,n17)
    | ~ spl0_9
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f363,f2805]) ).

fof(f2807,plain,
    ( sk0_0 = n20
    | ~ spl0_9
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f126,f2806]) ).

fof(f2808,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2807,f510]) ).

fof(f2809,plain,
    ( ~ spl0_9
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f2808]) ).

fof(f2830,plain,
    ( sk0_0 = sum(pred(sum(n4,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_4
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f734,f2751]) ).

fof(f2831,plain,
    ( sk0_0 = sum(pred(n20),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_4
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f146,f2830]) ).

fof(f2832,plain,
    ( sk0_0 = sum(n19,sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_4
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f45,f2831]) ).

fof(f2833,plain,
    ( sk0_0 = sum(n19,sum(n15,pred(sum(n4,n15))))
    | ~ spl0_4
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f734,f2832]) ).

fof(f2834,plain,
    ( sk0_0 = sum(n19,sum(n15,pred(n19)))
    | ~ spl0_4
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f145,f2833]) ).

fof(f2835,plain,
    ( sk0_0 = sum(n19,sum(n15,n18))
    | ~ spl0_4
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f44,f2834]) ).

fof(f2836,plain,
    ( sk0_0 = sum(n19,n12)
    | ~ spl0_4
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f379,f2835]) ).

fof(f2837,plain,
    ( sk0_0 = n10
    | ~ spl0_4
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f457,f2836]) ).

fof(f2838,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2837,f500]) ).

fof(f2839,plain,
    ( ~ spl0_4
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f2838]) ).

fof(f2859,plain,
    ( sk0_0 = sum(pred(sum(n5,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_5
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f737,f2083]) ).

fof(f2860,plain,
    ( sk0_0 = sum(pred(n0),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_5
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f167,f2859]) ).

fof(f2861,plain,
    ( sk0_0 = sum(n20,sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_5
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f25,f2860]) ).

fof(f2862,plain,
    ( sk0_0 = sum(n20,sum(n15,pred(sum(n5,n15))))
    | ~ spl0_5
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f737,f2861]) ).

fof(f2863,plain,
    ( sk0_0 = sum(n20,sum(n15,pred(n20)))
    | ~ spl0_5
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f166,f2862]) ).

fof(f2864,plain,
    ( sk0_0 = sum(n20,sum(n15,n19))
    | ~ spl0_5
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f45,f2863]) ).

fof(f2865,plain,
    ( sk0_0 = sum(n20,n13)
    | ~ spl0_5
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f380,f2864]) ).

fof(f2866,plain,
    ( sk0_0 = n12
    | ~ spl0_5
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f479,f2865]) ).

fof(f2867,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2866,f502]) ).

fof(f2868,plain,
    ( ~ spl0_5
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f2867]) ).

fof(f2889,plain,
    ( sk0_0 = sum(pred(sum(n13,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f761,f1173]) ).

fof(f2890,plain,
    ( sk0_0 = sum(pred(n8),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f335,f2889]) ).

fof(f2891,plain,
    ( sk0_0 = sum(n7,sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f33,f2890]) ).

fof(f2892,plain,
    ( sk0_0 = sum(n7,sum(n15,pred(sum(n13,n15))))
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f761,f2891]) ).

fof(f2893,plain,
    ( sk0_0 = sum(n7,sum(n15,pred(n7)))
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f334,f2892]) ).

fof(f2894,plain,
    ( sk0_0 = sum(n7,sum(n15,n6))
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f32,f2893]) ).

fof(f2895,plain,
    ( sk0_0 = sum(n7,n0)
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f367,f2894]) ).

fof(f2896,plain,
    ( sk0_0 = n7
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f193,f2895]) ).

fof(f2897,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2896,f497]) ).

fof(f2898,plain,
    ( ~ spl0_13
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f2897]) ).

fof(f2899,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f764,f489]) ).

fof(f2900,plain,
    ( sk0_0 = sum(pred(sum(n14,succ(sk0_2))),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f764,f2899]) ).

fof(f2920,plain,
    ( sk0_0 = sum(pred(sum(n14,succ(sk0_2))),sum(sk0_2,pred(sum(n14,n4))))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f798,f2331]) ).

fof(f2921,plain,
    ( sk0_0 = sum(pred(sum(n14,succ(n4))),sum(sk0_2,pred(sum(n14,n4))))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f798,f2920]) ).

fof(f2922,plain,
    ( sk0_0 = sum(pred(sum(n14,n5)),sum(sk0_2,pred(sum(n14,n4))))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f8,f2921]) ).

fof(f2923,plain,
    ( sk0_0 = sum(pred(n19),sum(sk0_2,pred(sum(n14,n4))))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f345,f2922]) ).

fof(f2924,plain,
    ( sk0_0 = sum(n18,sum(sk0_2,pred(sum(n14,n4))))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f44,f2923]) ).

fof(f2925,plain,
    ( sk0_0 = sum(n18,sum(n4,pred(sum(n14,n4))))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f798,f2924]) ).

fof(f2926,plain,
    ( sk0_0 = sum(n18,sum(n4,pred(n18)))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f344,f2925]) ).

fof(f2927,plain,
    ( sk0_0 = sum(n18,sum(n4,n17))
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f43,f2926]) ).

fof(f2928,plain,
    ( sk0_0 = sum(n18,n0)
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f147,f2927]) ).

fof(f2929,plain,
    ( sk0_0 = n18
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f424,f2928]) ).

fof(f2930,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2929,f508]) ).

fof(f2931,plain,
    ( ~ spl0_25
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f2930]) ).

fof(f2932,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n16))))
    | ~ spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f834,f489]) ).

fof(f2933,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n16))),sum(sk0_2,pred(sum(sk0_1,n16))))
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f834,f2932]) ).

fof(f2934,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n17)),sum(sk0_2,pred(sum(sk0_1,n16))))
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f20,f2933]) ).

fof(f2935,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n17)),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f834,f2934]) ).

fof(f2976,plain,
    ( sk0_0 = sum(pred(sum(n0,n17)),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_0
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f722,f2269]) ).

fof(f2977,plain,
    ( sk0_0 = sum(pred(n17),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_0
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f63,f2976]) ).

fof(f2978,plain,
    ( sk0_0 = sum(n16,sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_0
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f42,f2977]) ).

fof(f2979,plain,
    ( sk0_0 = sum(n16,sum(n16,pred(sum(n0,n16))))
    | ~ spl0_0
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f722,f2978]) ).

fof(f2980,plain,
    ( sk0_0 = sum(n16,sum(n16,pred(n16)))
    | ~ spl0_0
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f62,f2979]) ).

fof(f2981,plain,
    ( sk0_0 = sum(n16,sum(n16,n15))
    | ~ spl0_0
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f41,f2980]) ).

fof(f2982,plain,
    ( sk0_0 = sum(n16,n10)
    | ~ spl0_0
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f397,f2981]) ).

fof(f2983,plain,
    ( sk0_0 = n5
    | ~ spl0_0
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f392,f2982]) ).

fof(f2984,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2983,f495]) ).

fof(f2985,plain,
    ( ~ spl0_0
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f2984]) ).

fof(f3006,plain,
    ( sk0_0 = sum(pred(sum(n19,n17)),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_19
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f779,f2935]) ).

fof(f3007,plain,
    ( sk0_0 = sum(pred(n15),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_19
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f462,f3006]) ).

fof(f3008,plain,
    ( sk0_0 = sum(n14,sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_19
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f40,f3007]) ).

fof(f3009,plain,
    ( sk0_0 = sum(n14,sum(n16,pred(sum(n19,n16))))
    | ~ spl0_19
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f779,f3008]) ).

fof(f3010,plain,
    ( sk0_0 = sum(n14,sum(n16,pred(n14)))
    | ~ spl0_19
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f461,f3009]) ).

fof(f3011,plain,
    ( sk0_0 = sum(n14,sum(n16,n13))
    | ~ spl0_19
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f39,f3010]) ).

fof(f3012,plain,
    ( sk0_0 = sum(n14,n8)
    | ~ spl0_19
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f395,f3011]) ).

fof(f3013,plain,
    ( sk0_0 = n1
    | ~ spl0_19
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f348,f3012]) ).

fof(f3014,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3013,f491]) ).

fof(f3015,plain,
    ( ~ spl0_19
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f3014]) ).

fof(f3035,plain,
    ( sk0_0 = sum(pred(sum(n16,n17)),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_16
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f770,f2269]) ).

fof(f3036,plain,
    ( sk0_0 = sum(pred(n12),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_16
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f399,f3035]) ).

fof(f3037,plain,
    ( sk0_0 = sum(n11,sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_16
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f37,f3036]) ).

fof(f3038,plain,
    ( sk0_0 = sum(n11,sum(n16,pred(sum(n16,n16))))
    | ~ spl0_16
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f770,f3037]) ).

fof(f3039,plain,
    ( sk0_0 = sum(n11,sum(n16,pred(n11)))
    | ~ spl0_16
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f398,f3038]) ).

fof(f3040,plain,
    ( sk0_0 = sum(n11,sum(n16,n10))
    | ~ spl0_16
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f36,f3039]) ).

fof(f3041,plain,
    ( sk0_0 = sum(n11,n5)
    | ~ spl0_16
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f392,f3040]) ).

fof(f3042,plain,
    ( sk0_0 = n16
    | ~ spl0_16
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f282,f3041]) ).

fof(f3043,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3042,f506]) ).

fof(f3044,plain,
    ( ~ spl0_16
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f3043]) ).

fof(f3064,plain,
    ( sk0_0 = sum(pred(sum(n17,n17)),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f773,f2935]) ).

fof(f3065,plain,
    ( sk0_0 = sum(pred(n13),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f420,f3064]) ).

fof(f3066,plain,
    ( sk0_0 = sum(n12,sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f38,f3065]) ).

fof(f3067,plain,
    ( sk0_0 = sum(n12,sum(n16,pred(sum(n17,n16))))
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f773,f3066]) ).

fof(f3068,plain,
    ( sk0_0 = sum(n12,sum(n16,pred(n12)))
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f419,f3067]) ).

fof(f3069,plain,
    ( sk0_0 = sum(n12,sum(n16,n11))
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f37,f3068]) ).

fof(f3070,plain,
    ( sk0_0 = sum(n12,n6)
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f393,f3069]) ).

fof(f3071,plain,
    ( sk0_0 = n18
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f304,f3070]) ).

fof(f3072,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3071,f508]) ).

fof(f3073,plain,
    ( ~ spl0_17
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f3072]) ).

fof(f3093,plain,
    ( sk0_0 = sum(pred(sum(n6,n17)),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f740,f2269]) ).

fof(f3094,plain,
    ( sk0_0 = sum(pred(n2),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f189,f3093]) ).

fof(f3095,plain,
    ( sk0_0 = sum(n1,sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f27,f3094]) ).

fof(f3096,plain,
    ( sk0_0 = sum(n1,sum(n16,pred(sum(n6,n16))))
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f740,f3095]) ).

fof(f3097,plain,
    ( sk0_0 = sum(n1,sum(n16,pred(n1)))
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f188,f3096]) ).

fof(f3098,plain,
    ( sk0_0 = sum(n1,sum(n16,n0))
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f26,f3097]) ).

fof(f3099,plain,
    ( sk0_0 = sum(n1,n16)
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f382,f3098]) ).

fof(f3100,plain,
    ( sk0_0 = n17
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f83,f3099]) ).

fof(f3101,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3100,f507]) ).

fof(f3102,plain,
    ( ~ spl0_6
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f3101]) ).

fof(f3121,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n17)),sum(n16,pred(sum(n10,n16))))
    | ~ spl0_10
    | ~ spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f752,f2935]) ).

fof(f3122,plain,
    ( sk0_0 = sum(pred(sum(n10,n17)),sum(n16,pred(sum(n10,n16))))
    | ~ spl0_10
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f752,f3121]) ).

fof(f3123,plain,
    ( sk0_0 = sum(pred(n6),sum(n16,pred(sum(n10,n16))))
    | ~ spl0_10
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f273,f3122]) ).

fof(f3124,plain,
    ( sk0_0 = sum(n5,sum(n16,pred(sum(n10,n16))))
    | ~ spl0_10
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f31,f3123]) ).

fof(f3125,plain,
    ( sk0_0 = sum(n5,sum(n16,pred(n5)))
    | ~ spl0_10
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f272,f3124]) ).

fof(f3126,plain,
    ( sk0_0 = sum(n5,sum(n16,n4))
    | ~ spl0_10
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f30,f3125]) ).

fof(f3127,plain,
    ( sk0_0 = sum(n5,n20)
    | ~ spl0_10
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f386,f3126]) ).

fof(f3128,plain,
    ( sk0_0 = n4
    | ~ spl0_10
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f171,f3127]) ).

fof(f3129,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3128,f494]) ).

fof(f3130,plain,
    ( ~ spl0_10
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f3129]) ).

fof(f3131,plain,
    ( sk0_0 = sum(pred(sum(n3,succ(n16))),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_37
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f834,f1122]) ).

fof(f3132,plain,
    ( sk0_0 = sum(pred(sum(n3,n17)),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_37
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f20,f3131]) ).

fof(f3133,plain,
    ( sk0_0 = sum(pred(n20),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_37
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f126,f3132]) ).

fof(f3134,plain,
    ( sk0_0 = sum(n19,sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_37
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f45,f3133]) ).

fof(f3135,plain,
    ( sk0_0 = sum(n19,sum(n16,pred(sum(n3,sk0_2))))
    | ~ spl0_37
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f834,f3134]) ).

fof(f3136,plain,
    ( sk0_0 = sum(n19,sum(n16,pred(sum(n3,n16))))
    | ~ spl0_37
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f834,f3135]) ).

fof(f3137,plain,
    ( sk0_0 = sum(n19,sum(n16,pred(n19)))
    | ~ spl0_37
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f125,f3136]) ).

fof(f3138,plain,
    ( sk0_0 = sum(n19,sum(n16,n18))
    | ~ spl0_37
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f44,f3137]) ).

fof(f3139,plain,
    ( sk0_0 = sum(n19,n13)
    | ~ spl0_37
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f400,f3138]) ).

fof(f3140,plain,
    ( sk0_0 = n11
    | ~ spl0_37
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f458,f3139]) ).

fof(f3141,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3140,f501]) ).

fof(f3142,plain,
    ( ~ spl0_37
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f3141]) ).

fof(f3143,plain,
    ( sk0_0 = sum(pred(sum(n7,succ(n16))),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_37
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f834,f1108]) ).

fof(f3144,plain,
    ( sk0_0 = sum(pred(sum(n7,n17)),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_37
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f20,f3143]) ).

fof(f3145,plain,
    ( sk0_0 = sum(pred(n3),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_37
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f210,f3144]) ).

fof(f3146,plain,
    ( sk0_0 = sum(n2,sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_37
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f28,f3145]) ).

fof(f3147,plain,
    ( sk0_0 = sum(n2,sum(n16,pred(sum(n7,sk0_2))))
    | ~ spl0_37
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f834,f3146]) ).

fof(f3148,plain,
    ( sk0_0 = sum(n2,sum(n16,pred(sum(n7,n16))))
    | ~ spl0_37
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f834,f3147]) ).

fof(f3149,plain,
    ( sk0_0 = sum(n2,sum(n16,pred(n2)))
    | ~ spl0_37
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f209,f3148]) ).

fof(f3150,plain,
    ( sk0_0 = sum(n2,sum(n16,n1))
    | ~ spl0_37
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f27,f3149]) ).

fof(f3151,plain,
    ( sk0_0 = sum(n2,n17)
    | ~ spl0_37
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f383,f3150]) ).

fof(f3152,plain,
    ( sk0_0 = n19
    | ~ spl0_37
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f105,f3151]) ).

fof(f3153,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3152,f509]) ).

fof(f3154,plain,
    ( ~ spl0_37
    | ~ spl0_7 ),
    inference(contradiction_clause,[status(thm)],[f3153]) ).

fof(f3155,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(n16))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_37
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f834,f1654]) ).

fof(f3156,plain,
    ( sk0_0 = sum(pred(sum(n20,n17)),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_37
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f20,f3155]) ).

fof(f3157,plain,
    ( sk0_0 = sum(pred(n16),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_37
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f483,f3156]) ).

fof(f3158,plain,
    ( sk0_0 = sum(n15,sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_37
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f41,f3157]) ).

fof(f3159,plain,
    ( sk0_0 = sum(n15,sum(n16,pred(sum(n20,sk0_2))))
    | ~ spl0_37
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f834,f3158]) ).

fof(f3160,plain,
    ( sk0_0 = sum(n15,sum(n16,pred(sum(n20,n16))))
    | ~ spl0_37
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f834,f3159]) ).

fof(f3161,plain,
    ( sk0_0 = sum(n15,sum(n16,pred(n15)))
    | ~ spl0_37
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f482,f3160]) ).

fof(f3162,plain,
    ( sk0_0 = sum(n15,sum(n16,n14))
    | ~ spl0_37
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f40,f3161]) ).

fof(f3163,plain,
    ( sk0_0 = sum(n15,n9)
    | ~ spl0_37
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f396,f3162]) ).

fof(f3164,plain,
    ( sk0_0 = n3
    | ~ spl0_37
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f370,f3163]) ).

fof(f3165,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3164,f493]) ).

fof(f3166,plain,
    ( ~ spl0_37
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f3165]) ).

fof(f3189,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(sk0_2))),sum(sk0_2,pred(sum(n20,n18))))
    | ~ spl0_39
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f840,f1308]) ).

fof(f3190,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(n18))),sum(sk0_2,pred(sum(n20,n18))))
    | ~ spl0_39
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f840,f3189]) ).

fof(f3191,plain,
    ( sk0_0 = sum(pred(sum(n20,n19)),sum(sk0_2,pred(sum(n20,n18))))
    | ~ spl0_39
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f22,f3190]) ).

fof(f3192,plain,
    ( sk0_0 = sum(pred(n18),sum(sk0_2,pred(sum(n20,n18))))
    | ~ spl0_39
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f485,f3191]) ).

fof(f3193,plain,
    ( sk0_0 = sum(n17,sum(sk0_2,pred(sum(n20,n18))))
    | ~ spl0_39
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f43,f3192]) ).

fof(f3194,plain,
    ( sk0_0 = sum(n17,sum(n18,pred(sum(n20,n18))))
    | ~ spl0_39
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f840,f3193]) ).

fof(f3195,plain,
    ( sk0_0 = sum(n17,sum(n18,pred(n17)))
    | ~ spl0_39
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f484,f3194]) ).

fof(f3196,plain,
    ( sk0_0 = sum(n17,sum(n18,n16))
    | ~ spl0_39
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f42,f3195]) ).

fof(f3197,plain,
    ( sk0_0 = sum(n17,n13)
    | ~ spl0_39
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f440,f3196]) ).

fof(f3198,plain,
    ( sk0_0 = n9
    | ~ spl0_39
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f416,f3197]) ).

fof(f3199,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3198,f499]) ).

fof(f3200,plain,
    ( ~ spl0_39
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f3199]) ).

fof(f3221,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(n7))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_28
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f807,f1739]) ).

fof(f3222,plain,
    ( sk0_0 = sum(pred(sum(n20,n8)),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_28
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f11,f3221]) ).

fof(f3223,plain,
    ( sk0_0 = sum(pred(n7),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_28
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f474,f3222]) ).

fof(f3224,plain,
    ( sk0_0 = sum(n6,sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_28
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f32,f3223]) ).

fof(f3225,plain,
    ( sk0_0 = sum(n6,sum(n7,pred(sum(n20,sk0_2))))
    | ~ spl0_28
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f807,f3224]) ).

fof(f3226,plain,
    ( sk0_0 = sum(n6,sum(n7,pred(sum(n20,n7))))
    | ~ spl0_28
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f807,f3225]) ).

fof(f3227,plain,
    ( sk0_0 = sum(n6,sum(n7,pred(n6)))
    | ~ spl0_28
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f473,f3226]) ).

fof(f3228,plain,
    ( sk0_0 = sum(n6,sum(n7,n5))
    | ~ spl0_28
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f31,f3227]) ).

fof(f3229,plain,
    ( sk0_0 = sum(n6,n12)
    | ~ spl0_28
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f198,f3228]) ).

fof(f3230,plain,
    ( sk0_0 = n18
    | ~ spl0_28
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f184,f3229]) ).

fof(f3231,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3230,f508]) ).

fof(f3232,plain,
    ( ~ spl0_28
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f3231]) ).

fof(f3233,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n6))))
    | ~ spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f804,f489]) ).

fof(f3234,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n6))),sum(sk0_2,pred(sum(sk0_1,n6))))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f804,f3233]) ).

fof(f3235,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n7)),sum(sk0_2,pred(sum(sk0_1,n6))))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f10,f3234]) ).

fof(f3236,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n7)),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f804,f3235]) ).

fof(f3276,plain,
    ( sk0_0 = sum(pred(sum(n18,n7)),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f776,f3236]) ).

fof(f3277,plain,
    ( sk0_0 = sum(pred(n4),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f431,f3276]) ).

fof(f3278,plain,
    ( sk0_0 = sum(n3,sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f29,f3277]) ).

fof(f3279,plain,
    ( sk0_0 = sum(n3,sum(n6,pred(sum(n18,n6))))
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f776,f3278]) ).

fof(f3280,plain,
    ( sk0_0 = sum(n3,sum(n6,pred(n3)))
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f430,f3279]) ).

fof(f3281,plain,
    ( sk0_0 = sum(n3,sum(n6,n2))
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f28,f3280]) ).

fof(f3282,plain,
    ( sk0_0 = sum(n3,n8)
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f174,f3281]) ).

fof(f3283,plain,
    ( sk0_0 = n11
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f117,f3282]) ).

fof(f3284,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3283,f501]) ).

fof(f3285,plain,
    ( ~ spl0_18
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f3284]) ).

fof(f3286,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f813,f489]) ).

fof(f3287,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n9))),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f813,f3286]) ).

fof(f3288,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n10)),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f13,f3287]) ).

fof(f3289,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f813,f3288]) ).

fof(f3330,plain,
    ( sk0_0 = sum(pred(sum(n20,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_20
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f782,f3289]) ).

fof(f3331,plain,
    ( sk0_0 = sum(pred(n9),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_20
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f476,f3330]) ).

fof(f3332,plain,
    ( sk0_0 = sum(n8,sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_20
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f34,f3331]) ).

fof(f3333,plain,
    ( sk0_0 = sum(n8,sum(n9,pred(sum(n20,n9))))
    | ~ spl0_20
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f782,f3332]) ).

fof(f3334,plain,
    ( sk0_0 = sum(n8,sum(n9,pred(n8)))
    | ~ spl0_20
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f475,f3333]) ).

fof(f3335,plain,
    ( sk0_0 = sum(n8,sum(n9,n7))
    | ~ spl0_20
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f33,f3334]) ).

fof(f3336,plain,
    ( sk0_0 = sum(n8,n16)
    | ~ spl0_20
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f242,f3335]) ).

fof(f3337,plain,
    ( sk0_0 = n3
    | ~ spl0_20
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f230,f3336]) ).

fof(f3338,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3337,f493]) ).

fof(f3339,plain,
    ( ~ spl0_20
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f3338]) ).

fof(f3355,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(backward_demodulation,[status(thm)],[f810,f489]) ).

fof(f3356,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n8))),sum(sk0_2,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f810,f3355]) ).

fof(f3357,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(sk0_2,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f12,f3356]) ).

fof(f3358,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f810,f3357]) ).

fof(f3398,plain,
    ( sk0_0 = sum(pred(sum(n14,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_14
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f764,f3358]) ).

fof(f3399,plain,
    ( sk0_0 = sum(pred(n2),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_14
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f349,f3398]) ).

fof(f3400,plain,
    ( sk0_0 = sum(n1,sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_14
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f27,f3399]) ).

fof(f3401,plain,
    ( sk0_0 = sum(n1,sum(n8,pred(sum(n14,n8))))
    | ~ spl0_14
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f764,f3400]) ).

fof(f3402,plain,
    ( sk0_0 = sum(n1,sum(n8,pred(n1)))
    | ~ spl0_14
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f348,f3401]) ).

fof(f3403,plain,
    ( sk0_0 = sum(n1,sum(n8,n0))
    | ~ spl0_14
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f26,f3402]) ).

fof(f3404,plain,
    ( sk0_0 = sum(n1,n8)
    | ~ spl0_14
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f214,f3403]) ).

fof(f3405,plain,
    ( sk0_0 = n9
    | ~ spl0_14
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f75,f3404]) ).

fof(f3406,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3405,f499]) ).

fof(f3407,plain,
    ( ~ spl0_14
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f3406]) ).

fof(f3408,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(backward_demodulation,[status(thm)],[f819,f489]) ).

fof(f3409,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n11))),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f819,f3408]) ).

fof(f3410,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n12)),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f15,f3409]) ).

fof(f3411,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f819,f3410]) ).

fof(f3452,plain,
    ( sk0_0 = sum(pred(sum(n20,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_20
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f782,f3411]) ).

fof(f3453,plain,
    ( sk0_0 = sum(pred(n11),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_20
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f478,f3452]) ).

fof(f3454,plain,
    ( sk0_0 = sum(n10,sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_20
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f36,f3453]) ).

fof(f3455,plain,
    ( sk0_0 = sum(n10,sum(n11,pred(sum(n20,n11))))
    | ~ spl0_20
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f782,f3454]) ).

fof(f3456,plain,
    ( sk0_0 = sum(n10,sum(n11,pred(n10)))
    | ~ spl0_20
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f477,f3455]) ).

fof(f3457,plain,
    ( sk0_0 = sum(n10,sum(n11,n9))
    | ~ spl0_20
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f35,f3456]) ).

fof(f3458,plain,
    ( sk0_0 = sum(n10,n20)
    | ~ spl0_20
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f286,f3457]) ).

fof(f3459,plain,
    ( sk0_0 = n9
    | ~ spl0_20
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f276,f3458]) ).

fof(f3460,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3459,f499]) ).

fof(f3461,plain,
    ( ~ spl0_20
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f3460]) ).

fof(f3462,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f816,f489]) ).

fof(f3463,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n10))),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f816,f3462]) ).

fof(f3464,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n11)),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f14,f3463]) ).

fof(f3465,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f816,f3464]) ).

fof(f3505,plain,
    ( sk0_0 = sum(pred(sum(n18,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_18
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f776,f3465]) ).

fof(f3506,plain,
    ( sk0_0 = sum(pred(n8),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_18
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f435,f3505]) ).

fof(f3507,plain,
    ( sk0_0 = sum(n7,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_18
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f33,f3506]) ).

fof(f3508,plain,
    ( sk0_0 = sum(n7,sum(n10,pred(sum(n18,n10))))
    | ~ spl0_18
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f776,f3507]) ).

fof(f3509,plain,
    ( sk0_0 = sum(n7,sum(n10,pred(n7)))
    | ~ spl0_18
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f434,f3508]) ).

fof(f3510,plain,
    ( sk0_0 = sum(n7,sum(n10,n6))
    | ~ spl0_18
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f32,f3509]) ).

fof(f3511,plain,
    ( sk0_0 = sum(n7,n16)
    | ~ spl0_18
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f262,f3510]) ).

fof(f3512,plain,
    ( sk0_0 = n2
    | ~ spl0_18
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f209,f3511]) ).

fof(f3513,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3512,f492]) ).

fof(f3514,plain,
    ( ~ spl0_18
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f3513]) ).

fof(f3515,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f828,f489]) ).

fof(f3516,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n14))),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f828,f3515]) ).

fof(f3517,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f18,f3516]) ).

fof(f3518,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f828,f3517]) ).

fof(f3559,plain,
    ( sk0_0 = sum(pred(sum(n20,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f782,f3518]) ).

fof(f3560,plain,
    ( sk0_0 = sum(pred(n14),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f481,f3559]) ).

fof(f3561,plain,
    ( sk0_0 = sum(n13,sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f39,f3560]) ).

fof(f3562,plain,
    ( sk0_0 = sum(n13,sum(n14,pred(sum(n20,n14))))
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f782,f3561]) ).

fof(f3563,plain,
    ( sk0_0 = sum(n13,sum(n14,pred(n13)))
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f480,f3562]) ).

fof(f3564,plain,
    ( sk0_0 = sum(n13,sum(n14,n12))
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f38,f3563]) ).

fof(f3565,plain,
    ( sk0_0 = sum(n13,n5)
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f352,f3564]) ).

fof(f3566,plain,
    ( sk0_0 = n18
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f324,f3565]) ).

fof(f3567,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3566,f508]) ).

fof(f3568,plain,
    ( ~ spl0_20
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f3567]) ).

fof(f3569,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f786,f489]) ).

fof(f3570,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n0))),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f3569]) ).

fof(f3571,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f4,f3570]) ).

fof(f3572,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f3571]) ).

fof(f3612,plain,
    ( sk0_0 = sum(pred(sum(n14,succ(n0))),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f786,f2900]) ).

fof(f3613,plain,
    ( sk0_0 = sum(pred(sum(n14,n1)),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f4,f3612]) ).

fof(f3614,plain,
    ( sk0_0 = sum(pred(n15),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f341,f3613]) ).

fof(f3615,plain,
    ( sk0_0 = sum(n14,sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f40,f3614]) ).

fof(f3616,plain,
    ( sk0_0 = sum(n14,sum(n0,pred(sum(n14,sk0_2))))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f786,f3615]) ).

fof(f3617,plain,
    ( sk0_0 = sum(n14,sum(n0,pred(sum(n14,n0))))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f786,f3616]) ).

fof(f3618,plain,
    ( sk0_0 = sum(n14,sum(n0,pred(n14)))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f340,f3617]) ).

fof(f3619,plain,
    ( sk0_0 = sum(n14,sum(n0,n13))
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f39,f3618]) ).

fof(f3620,plain,
    ( sk0_0 = sum(n14,n13)
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f59,f3619]) ).

fof(f3621,plain,
    ( sk0_0 = n6
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f353,f3620]) ).

fof(f3622,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3621,f496]) ).

fof(f3623,plain,
    ( ~ spl0_21
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f3622]) ).

fof(f3624,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(backward_demodulation,[status(thm)],[f825,f489]) ).

fof(f3625,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n13))),sum(sk0_2,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f825,f3624]) ).

fof(f3626,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n14)),sum(sk0_2,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f17,f3625]) ).

fof(f3627,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f825,f3626]) ).

fof(f3668,plain,
    ( sk0_0 = sum(pred(sum(n20,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_20
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f782,f3627]) ).

fof(f3669,plain,
    ( sk0_0 = sum(pred(n13),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_20
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f480,f3668]) ).

fof(f3670,plain,
    ( sk0_0 = sum(n12,sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_20
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f38,f3669]) ).

fof(f3671,plain,
    ( sk0_0 = sum(n12,sum(n13,pred(sum(n20,n13))))
    | ~ spl0_20
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f782,f3670]) ).

fof(f3672,plain,
    ( sk0_0 = sum(n12,sum(n13,pred(n12)))
    | ~ spl0_20
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f479,f3671]) ).

fof(f3673,plain,
    ( sk0_0 = sum(n12,sum(n13,n11))
    | ~ spl0_20
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f37,f3672]) ).

fof(f3674,plain,
    ( sk0_0 = sum(n12,n3)
    | ~ spl0_20
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f330,f3673]) ).

fof(f3675,plain,
    ( sk0_0 = n15
    | ~ spl0_20
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f301,f3674]) ).

fof(f3676,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3675,f505]) ).

fof(f3677,plain,
    ( ~ spl0_20
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f3676]) ).

fof(f3678,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(backward_demodulation,[status(thm)],[f822,f489]) ).

fof(f3679,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n12))),sum(sk0_2,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f822,f3678]) ).

fof(f3680,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n13)),sum(sk0_2,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f16,f3679]) ).

fof(f3681,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f822,f3680]) ).

fof(f3721,plain,
    ( sk0_0 = sum(pred(sum(n18,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f776,f3681]) ).

fof(f3722,plain,
    ( sk0_0 = sum(pred(n10),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f437,f3721]) ).

fof(f3723,plain,
    ( sk0_0 = sum(n9,sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f35,f3722]) ).

fof(f3724,plain,
    ( sk0_0 = sum(n9,sum(n12,pred(sum(n18,n12))))
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f776,f3723]) ).

fof(f3725,plain,
    ( sk0_0 = sum(n9,sum(n12,pred(n9)))
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f436,f3724]) ).

fof(f3726,plain,
    ( sk0_0 = sum(n9,sum(n12,n8))
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f34,f3725]) ).

fof(f3727,plain,
    ( sk0_0 = sum(n9,n20)
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f306,f3726]) ).

fof(f3728,plain,
    ( sk0_0 = n8
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f255,f3727]) ).

fof(f3729,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3728,f498]) ).

fof(f3730,plain,
    ( ~ spl0_18
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f3729]) ).

fof(f3751,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n2))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f792,f489]) ).

fof(f3752,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n3)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f6,f3751]) ).

fof(f3753,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n3)),sum(n2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f792,f3752]) ).

fof(f3754,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n3)),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f792,f3753]) ).

fof(f3755,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n3)),sum(n2,pred(sum(n20,n2))))
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(backward_demodulation,[status(thm)],[f782,f3754]) ).

fof(f3756,plain,
    ( sk0_0 = sum(pred(sum(n20,n3)),sum(n2,pred(sum(n20,n2))))
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f782,f3755]) ).

fof(f3757,plain,
    ( sk0_0 = sum(pred(n2),sum(n2,pred(sum(n20,n2))))
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f469,f3756]) ).

fof(f3758,plain,
    ( sk0_0 = sum(n1,sum(n2,pred(sum(n20,n2))))
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f27,f3757]) ).

fof(f3759,plain,
    ( sk0_0 = sum(n1,sum(n2,pred(n1)))
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f468,f3758]) ).

fof(f3760,plain,
    ( sk0_0 = sum(n1,sum(n2,n0))
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f26,f3759]) ).

fof(f3761,plain,
    ( sk0_0 = sum(n1,n2)
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f88,f3760]) ).

fof(f3762,plain,
    ( sk0_0 = n3
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f69,f3761]) ).

fof(f3763,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3762,f493]) ).

fof(f3764,plain,
    ( ~ spl0_20
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f3763]) ).

fof(f3765,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f789,f489]) ).

fof(f3766,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n1))),sum(sk0_2,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f789,f3765]) ).

fof(f3767,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n2)),sum(sk0_2,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f5,f3766]) ).

fof(f3768,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f789,f3767]) ).

fof(f3808,plain,
    ( sk0_0 = sum(pred(sum(n14,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f764,f3768]) ).

fof(f3809,plain,
    ( sk0_0 = sum(pred(n16),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f342,f3808]) ).

fof(f3810,plain,
    ( sk0_0 = sum(n15,sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f41,f3809]) ).

fof(f3811,plain,
    ( sk0_0 = sum(n15,sum(n1,pred(sum(n14,n1))))
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f764,f3810]) ).

fof(f3812,plain,
    ( sk0_0 = sum(n15,sum(n1,pred(n15)))
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f341,f3811]) ).

fof(f3813,plain,
    ( sk0_0 = sum(n15,sum(n1,n14))
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f40,f3812]) ).

fof(f3814,plain,
    ( sk0_0 = sum(n15,n15)
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f81,f3813]) ).

fof(f3815,plain,
    ( sk0_0 = n9
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f376,f3814]) ).

fof(f3816,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3815,f499]) ).

fof(f3817,plain,
    ( ~ spl0_14
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f3816]) ).

fof(f3838,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n20))))
    | ~ spl0_41 ),
    inference(backward_demodulation,[status(thm)],[f846,f489]) ).

fof(f3839,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n20))),sum(sk0_2,pred(sum(sk0_1,n20))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f846,f3838]) ).

fof(f3840,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n0)),sum(sk0_2,pred(sum(sk0_1,n20))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f24,f3839]) ).

fof(f3841,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f846,f3840]) ).

fof(f3882,plain,
    ( sk0_0 = sum(pred(sum(n20,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_20
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f782,f1897]) ).

fof(f3883,plain,
    ( sk0_0 = sum(pred(n20),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_20
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f466,f3882]) ).

fof(f3884,plain,
    ( sk0_0 = sum(n19,sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_20
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f45,f3883]) ).

fof(f3885,plain,
    ( sk0_0 = sum(n19,sum(n20,pred(sum(n20,n20))))
    | ~ spl0_20
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f782,f3884]) ).

fof(f3886,plain,
    ( sk0_0 = sum(n19,sum(n20,pred(n19)))
    | ~ spl0_20
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f486,f3885]) ).

fof(f3887,plain,
    ( sk0_0 = sum(n19,sum(n20,n18))
    | ~ spl0_20
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f44,f3886]) ).

fof(f3888,plain,
    ( sk0_0 = sum(n19,n17)
    | ~ spl0_20
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f484,f3887]) ).

fof(f3889,plain,
    ( sk0_0 = n15
    | ~ spl0_20
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f462,f3888]) ).

fof(f3890,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3889,f505]) ).

fof(f3891,plain,
    ( ~ spl0_20
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f3890]) ).

fof(f3892,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f801,f489]) ).

fof(f3893,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n5))),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f801,f3892]) ).

fof(f3894,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n6)),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f9,f3893]) ).

fof(f3895,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f801,f3894]) ).

fof(f3916,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(n5))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_26
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f801,f1791]) ).

fof(f3917,plain,
    ( sk0_0 = sum(pred(sum(n18,n6)),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_26
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f9,f3916]) ).

fof(f3918,plain,
    ( sk0_0 = sum(pred(n3),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_26
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f430,f3917]) ).

fof(f3919,plain,
    ( sk0_0 = sum(n2,sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_26
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f28,f3918]) ).

fof(f3920,plain,
    ( sk0_0 = sum(n2,sum(n5,pred(sum(n18,sk0_2))))
    | ~ spl0_26
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f801,f3919]) ).

fof(f3921,plain,
    ( sk0_0 = sum(n2,sum(n5,pred(sum(n18,n5))))
    | ~ spl0_26
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f801,f3920]) ).

fof(f3922,plain,
    ( sk0_0 = sum(n2,sum(n5,pred(n2)))
    | ~ spl0_26
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f429,f3921]) ).

fof(f3923,plain,
    ( sk0_0 = sum(n2,sum(n5,n1))
    | ~ spl0_26
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f27,f3922]) ).

fof(f3924,plain,
    ( sk0_0 = sum(n2,n6)
    | ~ spl0_26
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f152,f3923]) ).

fof(f3925,plain,
    ( sk0_0 = n8
    | ~ spl0_26
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f94,f3924]) ).

fof(f3926,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3925,f498]) ).

fof(f3927,plain,
    ( ~ spl0_26
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f3926]) ).

fof(f3969,plain,
    ( sk0_0 = sum(pred(sum(n1,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_1
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f725,f1985]) ).

fof(f3970,plain,
    ( sk0_0 = sum(pred(n19),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_1
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f85,f3969]) ).

fof(f3971,plain,
    ( sk0_0 = sum(n18,sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_1
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f44,f3970]) ).

fof(f3972,plain,
    ( sk0_0 = sum(n18,sum(n17,pred(sum(n1,n17))))
    | ~ spl0_1
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f725,f3971]) ).

fof(f3973,plain,
    ( sk0_0 = sum(n18,sum(n17,pred(n18)))
    | ~ spl0_1
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f84,f3972]) ).

fof(f3974,plain,
    ( sk0_0 = sum(n18,sum(n17,n17))
    | ~ spl0_1
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f43,f3973]) ).

fof(f3975,plain,
    ( sk0_0 = sum(n18,n13)
    | ~ spl0_1
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f420,f3974]) ).

fof(f3976,plain,
    ( sk0_0 = n10
    | ~ spl0_1
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f437,f3975]) ).

fof(f3977,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3976,f500]) ).

fof(f3978,plain,
    ( ~ spl0_1
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f3977]) ).

fof(f3979,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n17))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f837,f489]) ).

fof(f3980,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n18)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f21,f3979]) ).

fof(f3981,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n18)),sum(n17,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f837,f3980]) ).

fof(f3982,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f837,f3981]) ).

fof(f3983,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(n17))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_38
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f837,f1485]) ).

fof(f3984,plain,
    ( sk0_0 = sum(pred(sum(n20,n18)),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_38
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f21,f3983]) ).

fof(f3985,plain,
    ( sk0_0 = sum(pred(n17),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_38
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f484,f3984]) ).

fof(f3986,plain,
    ( sk0_0 = sum(n16,sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_38
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f42,f3985]) ).

fof(f3987,plain,
    ( sk0_0 = sum(n16,sum(n17,pred(sum(n20,sk0_2))))
    | ~ spl0_38
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f837,f3986]) ).

fof(f3988,plain,
    ( sk0_0 = sum(n16,sum(n17,pred(sum(n20,n17))))
    | ~ spl0_38
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f837,f3987]) ).

fof(f3989,plain,
    ( sk0_0 = sum(n16,sum(n17,pred(n16)))
    | ~ spl0_38
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f483,f3988]) ).

fof(f3990,plain,
    ( sk0_0 = sum(n16,sum(n17,n15))
    | ~ spl0_38
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f41,f3989]) ).

fof(f3991,plain,
    ( sk0_0 = sum(n16,n11)
    | ~ spl0_38
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f418,f3990]) ).

fof(f3992,plain,
    ( sk0_0 = n6
    | ~ spl0_38
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f393,f3991]) ).

fof(f3993,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3992,f496]) ).

fof(f3994,plain,
    ( ~ spl0_38
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f3993]) ).

fof(f3995,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n3))))
    | ~ spl0_24 ),
    inference(backward_demodulation,[status(thm)],[f795,f489]) ).

fof(f3996,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n3))),sum(sk0_2,pred(sum(sk0_1,n3))))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f795,f3995]) ).

fof(f3997,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n4)),sum(sk0_2,pred(sum(sk0_1,n3))))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f7,f3996]) ).

fof(f3998,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f795,f3997]) ).

fof(f4039,plain,
    ( sk0_0 = sum(pred(sum(n18,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f776,f3998]) ).

fof(f4040,plain,
    ( sk0_0 = sum(pred(n1),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f428,f4039]) ).

fof(f4041,plain,
    ( sk0_0 = sum(n0,sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f26,f4040]) ).

fof(f4042,plain,
    ( sk0_0 = sum(n0,sum(n3,pred(sum(n18,n3))))
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f776,f4041]) ).

fof(f4043,plain,
    ( sk0_0 = sum(n0,sum(n3,pred(n0)))
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f427,f4042]) ).

fof(f4044,plain,
    ( sk0_0 = sum(n0,sum(n3,n20))
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f25,f4043]) ).

fof(f4045,plain,
    ( sk0_0 = sum(n0,n2)
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f129,f4044]) ).

fof(f4046,plain,
    ( sk0_0 = n2
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f48,f4045]) ).

fof(f4047,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4046,f492]) ).

fof(f4048,plain,
    ( ~ spl0_18
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f4047]) ).

fof(f4050,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n19))))
    | ~ spl0_40 ),
    inference(backward_demodulation,[status(thm)],[f843,f489]) ).

fof(f4051,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n19))),sum(sk0_2,pred(sum(sk0_1,n19))))
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f843,f4050]) ).

fof(f4052,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n20)),sum(sk0_2,pred(sum(sk0_1,n19))))
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f23,f4051]) ).

fof(f4053,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n20)),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f843,f4052]) ).

fof(f4094,plain,
    ( sk0_0 = sum(pred(sum(n12,n20)),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_12
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f758,f4053]) ).

fof(f4095,plain,
    ( sk0_0 = sum(pred(n11),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_12
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f318,f4094]) ).

fof(f4096,plain,
    ( sk0_0 = sum(n10,sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_12
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f36,f4095]) ).

fof(f4097,plain,
    ( sk0_0 = sum(n10,sum(n19,pred(sum(n12,n19))))
    | ~ spl0_12
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f758,f4096]) ).

fof(f4098,plain,
    ( sk0_0 = sum(n10,sum(n19,pred(n10)))
    | ~ spl0_12
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f317,f4097]) ).

fof(f4099,plain,
    ( sk0_0 = sum(n10,sum(n19,n9))
    | ~ spl0_12
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f35,f4098]) ).

fof(f4100,plain,
    ( sk0_0 = sum(n10,n7)
    | ~ spl0_12
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f454,f4099]) ).

fof(f4101,plain,
    ( sk0_0 = n17
    | ~ spl0_12
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f263,f4100]) ).

fof(f4102,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4101,f507]) ).

fof(f4103,plain,
    ( ~ spl0_12
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f4102]) ).

fof(f4104,plain,
    ( sk0_0 = sum(pred(sum(n11,succ(n19))),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_40
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f843,f1096]) ).

fof(f4105,plain,
    ( sk0_0 = sum(pred(sum(n11,n20)),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_40
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f23,f4104]) ).

fof(f4106,plain,
    ( sk0_0 = sum(pred(n10),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_40
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f297,f4105]) ).

fof(f4107,plain,
    ( sk0_0 = sum(n9,sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_40
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f35,f4106]) ).

fof(f4108,plain,
    ( sk0_0 = sum(n9,sum(n19,pred(sum(n11,sk0_2))))
    | ~ spl0_40
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f843,f4107]) ).

fof(f4109,plain,
    ( sk0_0 = sum(n9,sum(n19,pred(sum(n11,n19))))
    | ~ spl0_40
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f843,f4108]) ).

fof(f4110,plain,
    ( sk0_0 = sum(n9,sum(n19,pred(n9)))
    | ~ spl0_40
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f296,f4109]) ).

fof(f4111,plain,
    ( sk0_0 = sum(n9,sum(n19,n8))
    | ~ spl0_40
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f34,f4110]) ).

fof(f4112,plain,
    ( sk0_0 = sum(n9,n6)
    | ~ spl0_40
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f453,f4111]) ).

fof(f4113,plain,
    ( sk0_0 = n15
    | ~ spl0_40
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f241,f4112]) ).

fof(f4114,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4113,f505]) ).

fof(f4115,plain,
    ( ~ spl0_40
    | ~ spl0_11 ),
    inference(contradiction_clause,[status(thm)],[f4114]) ).

fof(f4116,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n20)),sum(n19,pred(sum(n13,n19))))
    | ~ spl0_13
    | ~ spl0_40 ),
    inference(backward_demodulation,[status(thm)],[f761,f4053]) ).

fof(f4117,plain,
    ( sk0_0 = sum(pred(sum(n13,n20)),sum(n19,pred(sum(n13,n19))))
    | ~ spl0_13
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f761,f4116]) ).

fof(f4118,plain,
    ( sk0_0 = sum(pred(n12),sum(n19,pred(sum(n13,n19))))
    | ~ spl0_13
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f339,f4117]) ).

fof(f4119,plain,
    ( sk0_0 = sum(n11,sum(n19,pred(sum(n13,n19))))
    | ~ spl0_13
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f37,f4118]) ).

fof(f4120,plain,
    ( sk0_0 = sum(n11,sum(n19,pred(n11)))
    | ~ spl0_13
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f338,f4119]) ).

fof(f4121,plain,
    ( sk0_0 = sum(n11,sum(n19,n10))
    | ~ spl0_13
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f36,f4120]) ).

fof(f4122,plain,
    ( sk0_0 = sum(n11,n8)
    | ~ spl0_13
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f455,f4121]) ).

fof(f4123,plain,
    ( sk0_0 = n19
    | ~ spl0_13
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f285,f4122]) ).

fof(f4124,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4123,f509]) ).

fof(f4125,plain,
    ( ~ spl0_13
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f4124]) ).

fof(f4126,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n20)),sum(n19,pred(sum(n19,n19))))
    | ~ spl0_19
    | ~ spl0_40 ),
    inference(backward_demodulation,[status(thm)],[f779,f4053]) ).

fof(f4127,plain,
    ( sk0_0 = sum(pred(sum(n19,n20)),sum(n19,pred(sum(n19,n19))))
    | ~ spl0_19
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f779,f4126]) ).

fof(f4128,plain,
    ( sk0_0 = sum(pred(n18),sum(n19,pred(sum(n19,n19))))
    | ~ spl0_19
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f465,f4127]) ).

fof(f4129,plain,
    ( sk0_0 = sum(n17,sum(n19,pred(sum(n19,n19))))
    | ~ spl0_19
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f43,f4128]) ).

fof(f4130,plain,
    ( sk0_0 = sum(n17,sum(n19,pred(n17)))
    | ~ spl0_19
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f464,f4129]) ).

fof(f4131,plain,
    ( sk0_0 = sum(n17,sum(n19,n16))
    | ~ spl0_19
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f42,f4130]) ).

fof(f4132,plain,
    ( sk0_0 = sum(n17,n14)
    | ~ spl0_19
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f461,f4131]) ).

fof(f4133,plain,
    ( sk0_0 = n10
    | ~ spl0_19
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f417,f4132]) ).

fof(f4134,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4133,f500]) ).

fof(f4135,plain,
    ( ~ spl0_19
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f4134]) ).

fof(f4155,plain,
    ( sk0_0 = sum(pred(sum(n0,n20)),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_0
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f722,f4053]) ).

fof(f4156,plain,
    ( sk0_0 = sum(pred(n20),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_0
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f66,f4155]) ).

fof(f4157,plain,
    ( sk0_0 = sum(n19,sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_0
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f45,f4156]) ).

fof(f4158,plain,
    ( sk0_0 = sum(n19,sum(n19,pred(sum(n0,n19))))
    | ~ spl0_0
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f722,f4157]) ).

fof(f4159,plain,
    ( sk0_0 = sum(n19,sum(n19,pred(n19)))
    | ~ spl0_0
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f65,f4158]) ).

fof(f4160,plain,
    ( sk0_0 = sum(n19,sum(n19,n18))
    | ~ spl0_0
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f44,f4159]) ).

fof(f4161,plain,
    ( sk0_0 = sum(n19,n16)
    | ~ spl0_0
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f463,f4160]) ).

fof(f4162,plain,
    ( sk0_0 = n14
    | ~ spl0_0
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f461,f4161]) ).

fof(f4163,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4162,f504]) ).

fof(f4164,plain,
    ( ~ spl0_0
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f4163]) ).

fof(f4184,plain,
    ( sk0_0 = sum(pred(sum(n16,n20)),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_16
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f770,f4053]) ).

fof(f4185,plain,
    ( sk0_0 = sum(pred(n15),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_16
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f402,f4184]) ).

fof(f4186,plain,
    ( sk0_0 = sum(n14,sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_16
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f40,f4185]) ).

fof(f4187,plain,
    ( sk0_0 = sum(n14,sum(n19,pred(sum(n16,n19))))
    | ~ spl0_16
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f770,f4186]) ).

fof(f4188,plain,
    ( sk0_0 = sum(n14,sum(n19,pred(n14)))
    | ~ spl0_16
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f401,f4187]) ).

fof(f4189,plain,
    ( sk0_0 = sum(n14,sum(n19,n13))
    | ~ spl0_16
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f39,f4188]) ).

fof(f4190,plain,
    ( sk0_0 = sum(n14,n11)
    | ~ spl0_16
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f458,f4189]) ).

fof(f4191,plain,
    ( sk0_0 = n4
    | ~ spl0_16
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f351,f4190]) ).

fof(f4192,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4191,f494]) ).

fof(f4193,plain,
    ( ~ spl0_16
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f4192]) ).

fof(f4213,plain,
    ( sk0_0 = sum(pred(sum(n17,n20)),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_17
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f773,f4053]) ).

fof(f4214,plain,
    ( sk0_0 = sum(pred(n16),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_17
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f423,f4213]) ).

fof(f4215,plain,
    ( sk0_0 = sum(n15,sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_17
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f41,f4214]) ).

fof(f4216,plain,
    ( sk0_0 = sum(n15,sum(n19,pred(sum(n17,n19))))
    | ~ spl0_17
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f773,f4215]) ).

fof(f4217,plain,
    ( sk0_0 = sum(n15,sum(n19,pred(n15)))
    | ~ spl0_17
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f422,f4216]) ).

fof(f4218,plain,
    ( sk0_0 = sum(n15,sum(n19,n14))
    | ~ spl0_17
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f40,f4217]) ).

fof(f4219,plain,
    ( sk0_0 = sum(n15,n12)
    | ~ spl0_17
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f459,f4218]) ).

fof(f4220,plain,
    ( sk0_0 = n6
    | ~ spl0_17
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f373,f4219]) ).

fof(f4221,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4220,f496]) ).

fof(f4222,plain,
    ( ~ spl0_17
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f4221]) ).

fof(f4242,plain,
    ( sk0_0 = sum(pred(sum(n6,n20)),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_6
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f740,f4053]) ).

fof(f4243,plain,
    ( sk0_0 = sum(pred(n5),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_6
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f192,f4242]) ).

fof(f4244,plain,
    ( sk0_0 = sum(n4,sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_6
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f30,f4243]) ).

fof(f4245,plain,
    ( sk0_0 = sum(n4,sum(n19,pred(sum(n6,n19))))
    | ~ spl0_6
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f740,f4244]) ).

fof(f4246,plain,
    ( sk0_0 = sum(n4,sum(n19,pred(n4)))
    | ~ spl0_6
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f191,f4245]) ).

fof(f4247,plain,
    ( sk0_0 = sum(n4,sum(n19,n3))
    | ~ spl0_6
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f29,f4246]) ).

fof(f4248,plain,
    ( sk0_0 = sum(n4,n1)
    | ~ spl0_6
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f448,f4247]) ).

fof(f4249,plain,
    ( sk0_0 = n5
    | ~ spl0_6
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f131,f4248]) ).

fof(f4250,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4249,f495]) ).

fof(f4251,plain,
    ( ~ spl0_6
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f4250]) ).

fof(f4271,plain,
    ( sk0_0 = sum(pred(sum(n4,n20)),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_4
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f734,f4053]) ).

fof(f4272,plain,
    ( sk0_0 = sum(pred(n3),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_4
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f150,f4271]) ).

fof(f4273,plain,
    ( sk0_0 = sum(n2,sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_4
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f28,f4272]) ).

fof(f4274,plain,
    ( sk0_0 = sum(n2,sum(n19,pred(sum(n4,n19))))
    | ~ spl0_4
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f734,f4273]) ).

fof(f4275,plain,
    ( sk0_0 = sum(n2,sum(n19,pred(n2)))
    | ~ spl0_4
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f149,f4274]) ).

fof(f4276,plain,
    ( sk0_0 = sum(n2,sum(n19,n1))
    | ~ spl0_4
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f27,f4275]) ).

fof(f4277,plain,
    ( sk0_0 = sum(n2,n20)
    | ~ spl0_4
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f446,f4276]) ).

fof(f4278,plain,
    ( sk0_0 = n1
    | ~ spl0_4
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f108,f4277]) ).

fof(f4279,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4278,f491]) ).

fof(f4280,plain,
    ( ~ spl0_4
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f4279]) ).

fof(f4281,plain,
    ( sk0_0 = sum(pred(sum(n3,succ(n19))),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_40
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f843,f1122]) ).

fof(f4282,plain,
    ( sk0_0 = sum(pred(sum(n3,n20)),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_40
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f23,f4281]) ).

fof(f4283,plain,
    ( sk0_0 = sum(pred(n2),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_40
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f129,f4282]) ).

fof(f4284,plain,
    ( sk0_0 = sum(n1,sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_40
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f27,f4283]) ).

fof(f4285,plain,
    ( sk0_0 = sum(n1,sum(n19,pred(sum(n3,sk0_2))))
    | ~ spl0_40
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f843,f4284]) ).

fof(f4286,plain,
    ( sk0_0 = sum(n1,sum(n19,pred(sum(n3,n19))))
    | ~ spl0_40
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f843,f4285]) ).

fof(f4287,plain,
    ( sk0_0 = sum(n1,sum(n19,pred(n1)))
    | ~ spl0_40
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f128,f4286]) ).

fof(f4288,plain,
    ( sk0_0 = sum(n1,sum(n19,n0))
    | ~ spl0_40
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f26,f4287]) ).

fof(f4289,plain,
    ( sk0_0 = sum(n1,n19)
    | ~ spl0_40
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f445,f4288]) ).

fof(f4290,plain,
    ( sk0_0 = n20
    | ~ spl0_40
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f86,f4289]) ).

fof(f4291,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4290,f510]) ).

fof(f4292,plain,
    ( ~ spl0_40
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f4291]) ).

fof(f4329,plain,
    ( sk0_0 = sum(pred(sum(n10,n20)),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_10
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f752,f4053]) ).

fof(f4330,plain,
    ( sk0_0 = sum(pred(n9),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_10
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f276,f4329]) ).

fof(f4331,plain,
    ( sk0_0 = sum(n8,sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_10
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f34,f4330]) ).

fof(f4332,plain,
    ( sk0_0 = sum(n8,sum(n19,pred(sum(n10,n19))))
    | ~ spl0_10
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f752,f4331]) ).

fof(f4333,plain,
    ( sk0_0 = sum(n8,sum(n19,pred(n8)))
    | ~ spl0_10
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f275,f4332]) ).

fof(f4334,plain,
    ( sk0_0 = sum(n8,sum(n19,n7))
    | ~ spl0_10
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f33,f4333]) ).

fof(f4335,plain,
    ( sk0_0 = sum(n8,n5)
    | ~ spl0_10
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f452,f4334]) ).

fof(f4336,plain,
    ( sk0_0 = n13
    | ~ spl0_10
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f219,f4335]) ).

fof(f4337,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4336,f503]) ).

fof(f4338,plain,
    ( ~ spl0_10
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f4337]) ).

fof(f4358,plain,
    ( sk0_0 = sum(pred(sum(n8,n20)),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_8
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f746,f4053]) ).

fof(f4359,plain,
    ( sk0_0 = sum(pred(n7),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_8
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f234,f4358]) ).

fof(f4360,plain,
    ( sk0_0 = sum(n6,sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_8
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f32,f4359]) ).

fof(f4361,plain,
    ( sk0_0 = sum(n6,sum(n19,pred(sum(n8,n19))))
    | ~ spl0_8
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f746,f4360]) ).

fof(f4362,plain,
    ( sk0_0 = sum(n6,sum(n19,pred(n6)))
    | ~ spl0_8
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f233,f4361]) ).

fof(f4363,plain,
    ( sk0_0 = sum(n6,sum(n19,n5))
    | ~ spl0_8
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f31,f4362]) ).

fof(f4364,plain,
    ( sk0_0 = sum(n6,n3)
    | ~ spl0_8
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f450,f4363]) ).

fof(f4365,plain,
    ( sk0_0 = n9
    | ~ spl0_8
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f175,f4364]) ).

fof(f4366,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4365,f499]) ).

fof(f4367,plain,
    ( ~ spl0_8
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f4366]) ).

fof(f4368,plain,
    ( sk0_0 = sum(pred(sum(n7,succ(n19))),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_40
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f843,f1108]) ).

fof(f4369,plain,
    ( sk0_0 = sum(pred(sum(n7,n20)),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_40
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f23,f4368]) ).

fof(f4370,plain,
    ( sk0_0 = sum(pred(n6),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_40
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f213,f4369]) ).

fof(f4371,plain,
    ( sk0_0 = sum(n5,sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_40
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f31,f4370]) ).

fof(f4372,plain,
    ( sk0_0 = sum(n5,sum(n19,pred(sum(n7,sk0_2))))
    | ~ spl0_40
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f843,f4371]) ).

fof(f4373,plain,
    ( sk0_0 = sum(n5,sum(n19,pred(sum(n7,n19))))
    | ~ spl0_40
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f843,f4372]) ).

fof(f4374,plain,
    ( sk0_0 = sum(n5,sum(n19,pred(n5)))
    | ~ spl0_40
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f212,f4373]) ).

fof(f4375,plain,
    ( sk0_0 = sum(n5,sum(n19,n4))
    | ~ spl0_40
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f30,f4374]) ).

fof(f4376,plain,
    ( sk0_0 = sum(n5,n2)
    | ~ spl0_40
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f449,f4375]) ).

fof(f4377,plain,
    ( sk0_0 = n7
    | ~ spl0_40
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f153,f4376]) ).

fof(f4378,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4377,f497]) ).

fof(f4379,plain,
    ( ~ spl0_40
    | ~ spl0_7 ),
    inference(contradiction_clause,[status(thm)],[f4378]) ).

fof(f4380,plain,
    ( sk0_0 = sum(pred(sum(n14,succ(n19))),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_40
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f843,f2331]) ).

fof(f4381,plain,
    ( sk0_0 = sum(pred(sum(n14,n20)),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_40
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f23,f4380]) ).

fof(f4382,plain,
    ( sk0_0 = sum(pred(n13),sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_40
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f360,f4381]) ).

fof(f4383,plain,
    ( sk0_0 = sum(n12,sum(sk0_2,pred(sum(n14,sk0_2))))
    | ~ spl0_40
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f38,f4382]) ).

fof(f4384,plain,
    ( sk0_0 = sum(n12,sum(n19,pred(sum(n14,sk0_2))))
    | ~ spl0_40
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f843,f4383]) ).

fof(f4385,plain,
    ( sk0_0 = sum(n12,sum(n19,pred(sum(n14,n19))))
    | ~ spl0_40
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f843,f4384]) ).

fof(f4386,plain,
    ( sk0_0 = sum(n12,sum(n19,pred(n12)))
    | ~ spl0_40
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f359,f4385]) ).

fof(f4387,plain,
    ( sk0_0 = sum(n12,sum(n19,n11))
    | ~ spl0_40
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f37,f4386]) ).

fof(f4388,plain,
    ( sk0_0 = sum(n12,n9)
    | ~ spl0_40
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f456,f4387]) ).

fof(f4389,plain,
    ( sk0_0 = n0
    | ~ spl0_40
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f307,f4388]) ).

fof(f4390,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4389,f490]) ).

fof(f4391,plain,
    ( ~ spl0_40
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f4390]) ).

fof(f4434,plain,
    ( sk0_0 = sum(pred(sum(n14,n7)),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f764,f3236]) ).

fof(f4435,plain,
    ( sk0_0 = sum(pred(n0),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f347,f4434]) ).

fof(f4436,plain,
    ( sk0_0 = sum(n20,sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f25,f4435]) ).

fof(f4437,plain,
    ( sk0_0 = sum(n20,sum(n6,pred(sum(n14,n6))))
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f764,f4436]) ).

fof(f4438,plain,
    ( sk0_0 = sum(n20,sum(n6,pred(n20)))
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f346,f4437]) ).

fof(f4439,plain,
    ( sk0_0 = sum(n20,sum(n6,n19))
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f45,f4438]) ).

fof(f4440,plain,
    ( sk0_0 = sum(n20,n4)
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f191,f4439]) ).

fof(f4441,plain,
    ( sk0_0 = n3
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f470,f4440]) ).

fof(f4442,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4441,f493]) ).

fof(f4443,plain,
    ( ~ spl0_14
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f4442]) ).

fof(f4444,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(backward_demodulation,[status(thm)],[f810,f489]) ).

fof(f4445,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n8))),sum(sk0_2,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f810,f4444]) ).

fof(f4446,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(sk0_2,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f12,f4445]) ).

fof(f4447,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f810,f4446]) ).

fof(f4468,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(n8))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_29
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f810,f1205]) ).

fof(f4469,plain,
    ( sk0_0 = sum(pred(sum(n18,n9)),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_29
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f12,f4468]) ).

fof(f4470,plain,
    ( sk0_0 = sum(pred(n6),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_29
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f433,f4469]) ).

fof(f4471,plain,
    ( sk0_0 = sum(n5,sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_29
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f31,f4470]) ).

fof(f4472,plain,
    ( sk0_0 = sum(n5,sum(n8,pred(sum(n18,sk0_2))))
    | ~ spl0_29
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f810,f4471]) ).

fof(f4473,plain,
    ( sk0_0 = sum(n5,sum(n8,pred(sum(n18,n8))))
    | ~ spl0_29
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f810,f4472]) ).

fof(f4474,plain,
    ( sk0_0 = sum(n5,sum(n8,pred(n5)))
    | ~ spl0_29
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f432,f4473]) ).

fof(f4475,plain,
    ( sk0_0 = sum(n5,sum(n8,n4))
    | ~ spl0_29
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f30,f4474]) ).

fof(f4476,plain,
    ( sk0_0 = sum(n5,n12)
    | ~ spl0_29
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f218,f4475]) ).

fof(f4477,plain,
    ( sk0_0 = n17
    | ~ spl0_29
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f163,f4476]) ).

fof(f4478,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4477,f507]) ).

fof(f4479,plain,
    ( ~ spl0_29
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f4478]) ).

fof(f4480,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f816,f489]) ).

fof(f4481,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n10))),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f816,f4480]) ).

fof(f4482,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n11)),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f14,f4481]) ).

fof(f4483,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f816,f4482]) ).

fof(f4524,plain,
    ( sk0_0 = sum(pred(sum(n14,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f764,f3465]) ).

fof(f4525,plain,
    ( sk0_0 = sum(pred(n4),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f351,f4524]) ).

fof(f4526,plain,
    ( sk0_0 = sum(n3,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f29,f4525]) ).

fof(f4527,plain,
    ( sk0_0 = sum(n3,sum(n10,pred(sum(n14,n10))))
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f764,f4526]) ).

fof(f4528,plain,
    ( sk0_0 = sum(n3,sum(n10,pred(n3)))
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f350,f4527]) ).

fof(f4529,plain,
    ( sk0_0 = sum(n3,sum(n10,n2))
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f28,f4528]) ).

fof(f4530,plain,
    ( sk0_0 = sum(n3,n12)
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f258,f4529]) ).

fof(f4531,plain,
    ( sk0_0 = n15
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f121,f4530]) ).

fof(f4532,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4531,f505]) ).

fof(f4533,plain,
    ( ~ spl0_14
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f4532]) ).

fof(f4534,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f786,f489]) ).

fof(f4535,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n0))),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f4534]) ).

fof(f4536,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f4,f4535]) ).

fof(f4537,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f4536]) ).

fof(f4578,plain,
    ( sk0_0 = sum(pred(sum(n18,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f776,f3572]) ).

fof(f4579,plain,
    ( sk0_0 = sum(pred(n19),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f425,f4578]) ).

fof(f4580,plain,
    ( sk0_0 = sum(n18,sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f44,f4579]) ).

fof(f4581,plain,
    ( sk0_0 = sum(n18,sum(n0,pred(sum(n18,n0))))
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f776,f4580]) ).

fof(f4582,plain,
    ( sk0_0 = sum(n18,sum(n0,pred(n18)))
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f424,f4581]) ).

fof(f4583,plain,
    ( sk0_0 = sum(n18,sum(n0,n17))
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f43,f4582]) ).

fof(f4584,plain,
    ( sk0_0 = sum(n18,n17)
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f63,f4583]) ).

fof(f4585,plain,
    ( sk0_0 = n14
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f441,f4584]) ).

fof(f4586,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4585,f504]) ).

fof(f4587,plain,
    ( ~ spl0_18
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f4586]) ).

fof(f4588,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(backward_demodulation,[status(thm)],[f822,f489]) ).

fof(f4589,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n12))),sum(sk0_2,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f822,f4588]) ).

fof(f4590,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n13)),sum(sk0_2,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f16,f4589]) ).

fof(f4591,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f822,f4590]) ).

fof(f4632,plain,
    ( sk0_0 = sum(pred(sum(n14,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_14
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f764,f3681]) ).

fof(f4633,plain,
    ( sk0_0 = sum(pred(n6),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_14
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f353,f4632]) ).

fof(f4634,plain,
    ( sk0_0 = sum(n5,sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_14
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f31,f4633]) ).

fof(f4635,plain,
    ( sk0_0 = sum(n5,sum(n12,pred(sum(n14,n12))))
    | ~ spl0_14
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f764,f4634]) ).

fof(f4636,plain,
    ( sk0_0 = sum(n5,sum(n12,pred(n5)))
    | ~ spl0_14
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f352,f4635]) ).

fof(f4637,plain,
    ( sk0_0 = sum(n5,sum(n12,n4))
    | ~ spl0_14
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f30,f4636]) ).

fof(f4638,plain,
    ( sk0_0 = sum(n5,n16)
    | ~ spl0_14
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f302,f4637]) ).

fof(f4639,plain,
    ( sk0_0 = n0
    | ~ spl0_14
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f167,f4638]) ).

fof(f4640,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4639,f490]) ).

fof(f4641,plain,
    ( ~ spl0_14
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f4640]) ).

fof(f4642,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f789,f489]) ).

fof(f4643,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n1))),sum(sk0_2,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f789,f4642]) ).

fof(f4644,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n2)),sum(sk0_2,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f5,f4643]) ).

fof(f4645,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f789,f4644]) ).

fof(f4666,plain,
    ( sk0_0 = sum(pred(sum(n18,succ(n1))),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_22
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f789,f1705]) ).

fof(f4667,plain,
    ( sk0_0 = sum(pred(sum(n18,n2)),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_22
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f5,f4666]) ).

fof(f4668,plain,
    ( sk0_0 = sum(pred(n20),sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_22
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f426,f4667]) ).

fof(f4669,plain,
    ( sk0_0 = sum(n19,sum(sk0_2,pred(sum(n18,sk0_2))))
    | ~ spl0_22
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f45,f4668]) ).

fof(f4670,plain,
    ( sk0_0 = sum(n19,sum(n1,pred(sum(n18,sk0_2))))
    | ~ spl0_22
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f789,f4669]) ).

fof(f4671,plain,
    ( sk0_0 = sum(n19,sum(n1,pred(sum(n18,n1))))
    | ~ spl0_22
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f789,f4670]) ).

fof(f4672,plain,
    ( sk0_0 = sum(n19,sum(n1,pred(n19)))
    | ~ spl0_22
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f425,f4671]) ).

fof(f4673,plain,
    ( sk0_0 = sum(n19,sum(n1,n18))
    | ~ spl0_22
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f44,f4672]) ).

fof(f4674,plain,
    ( sk0_0 = sum(n19,n19)
    | ~ spl0_22
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f85,f4673]) ).

fof(f4675,plain,
    ( sk0_0 = n17
    | ~ spl0_22
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f464,f4674]) ).

fof(f4676,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4675,f507]) ).

fof(f4677,plain,
    ( ~ spl0_22
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f4676]) ).

fof(f4678,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f801,f489]) ).

fof(f4679,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n5))),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f801,f4678]) ).

fof(f4680,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n6)),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f9,f4679]) ).

fof(f4681,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f801,f4680]) ).

fof(f4722,plain,
    ( sk0_0 = sum(pred(sum(n14,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f764,f3895]) ).

fof(f4723,plain,
    ( sk0_0 = sum(pred(n20),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f346,f4722]) ).

fof(f4724,plain,
    ( sk0_0 = sum(n19,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f45,f4723]) ).

fof(f4725,plain,
    ( sk0_0 = sum(n19,sum(n5,pred(sum(n14,n5))))
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f764,f4724]) ).

fof(f4726,plain,
    ( sk0_0 = sum(n19,sum(n5,pred(n19)))
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f345,f4725]) ).

fof(f4727,plain,
    ( sk0_0 = sum(n19,sum(n5,n18))
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f44,f4726]) ).

fof(f4728,plain,
    ( sk0_0 = sum(n19,n2)
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f169,f4727]) ).

fof(f4729,plain,
    ( sk0_0 = n0
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f447,f4728]) ).

fof(f4730,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4729,f490]) ).

fof(f4731,plain,
    ( ~ spl0_14
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f4730]) ).

fof(f4732,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f725,f489]) ).

fof(f4733,plain,
    ( sk0_0 = sum(pred(sum(n1,succ(sk0_2))),sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f725,f4732]) ).

fof(f4773,plain,
    ( sk0_0 = sum(pred(sum(n1,n3)),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f725,f3754]) ).

fof(f4774,plain,
    ( sk0_0 = sum(pred(n4),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f70,f4773]) ).

fof(f4775,plain,
    ( sk0_0 = sum(n3,sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f29,f4774]) ).

fof(f4776,plain,
    ( sk0_0 = sum(n3,sum(n2,pred(sum(n1,n2))))
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f725,f4775]) ).

fof(f4777,plain,
    ( sk0_0 = sum(n3,sum(n2,pred(n3)))
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f69,f4776]) ).

fof(f4778,plain,
    ( sk0_0 = sum(n3,sum(n2,n2))
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f28,f4777]) ).

fof(f4779,plain,
    ( sk0_0 = sum(n3,n4)
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f90,f4778]) ).

fof(f4780,plain,
    ( sk0_0 = n7
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f113,f4779]) ).

fof(f4781,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4780,f497]) ).

fof(f4782,plain,
    ( ~ spl0_1
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f4781]) ).

fof(f4783,plain,
    ( sk0_0 = sum(pred(sum(n2,succ(n2))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f792,f1071]) ).

fof(f4784,plain,
    ( sk0_0 = sum(pred(sum(n2,n3)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f6,f4783]) ).

fof(f4785,plain,
    ( sk0_0 = sum(pred(n5),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f91,f4784]) ).

fof(f4786,plain,
    ( sk0_0 = sum(n4,sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f30,f4785]) ).

fof(f4787,plain,
    ( sk0_0 = sum(n4,sum(n2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f792,f4786]) ).

fof(f4788,plain,
    ( sk0_0 = sum(n4,sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f792,f4787]) ).

fof(f4789,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n2))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f792,f489]) ).

fof(f4790,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n3)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f6,f4789]) ).

fof(f4791,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n3)),sum(n2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f792,f4790]) ).

fof(f4792,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n3)),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f792,f4791]) ).

fof(f4814,plain,
    ( sk0_0 = sum(n4,sum(n2,pred(sum(n2,n2))))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f728,f4788]) ).

fof(f4815,plain,
    ( sk0_0 = sum(n4,sum(n2,pred(n4)))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f90,f4814]) ).

fof(f4816,plain,
    ( sk0_0 = sum(n4,sum(n2,n3))
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f29,f4815]) ).

fof(f4817,plain,
    ( sk0_0 = sum(n4,n5)
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f91,f4816]) ).

fof(f4818,plain,
    ( sk0_0 = n9
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f135,f4817]) ).

fof(f4819,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4818,f499]) ).

fof(f4820,plain,
    ( ~ spl0_23
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f4819]) ).

fof(f4841,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f798,f489]) ).

fof(f4842,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n4))),sum(sk0_2,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f798,f4841]) ).

fof(f4843,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n5)),sum(sk0_2,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f8,f4842]) ).

fof(f4844,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f798,f4843]) ).

fof(f4884,plain,
    ( sk0_0 = sum(pred(sum(n18,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_18
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f776,f4844]) ).

fof(f4885,plain,
    ( sk0_0 = sum(pred(n2),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_18
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f429,f4884]) ).

fof(f4886,plain,
    ( sk0_0 = sum(n1,sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_18
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f27,f4885]) ).

fof(f4887,plain,
    ( sk0_0 = sum(n1,sum(n4,pred(sum(n18,n4))))
    | ~ spl0_18
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f776,f4886]) ).

fof(f4888,plain,
    ( sk0_0 = sum(n1,sum(n4,pred(n1)))
    | ~ spl0_18
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f428,f4887]) ).

fof(f4889,plain,
    ( sk0_0 = sum(n1,sum(n4,n0))
    | ~ spl0_18
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f26,f4888]) ).

fof(f4890,plain,
    ( sk0_0 = sum(n1,n4)
    | ~ spl0_18
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f130,f4889]) ).

fof(f4891,plain,
    ( sk0_0 = n5
    | ~ spl0_18
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f71,f4890]) ).

fof(f4892,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4891,f495]) ).

fof(f4893,plain,
    ( ~ spl0_18
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f4892]) ).

fof(f4935,plain,
    ( sk0_0 = sum(pred(sum(n12,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_12
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f758,f3841]) ).

fof(f4936,plain,
    ( sk0_0 = sum(pred(n12),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_12
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f298,f4935]) ).

fof(f4937,plain,
    ( sk0_0 = sum(n11,sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_12
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f37,f4936]) ).

fof(f4938,plain,
    ( sk0_0 = sum(n11,sum(n20,pred(sum(n12,n20))))
    | ~ spl0_12
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f758,f4937]) ).

fof(f4939,plain,
    ( sk0_0 = sum(n11,sum(n20,pred(n11)))
    | ~ spl0_12
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f318,f4938]) ).

fof(f4940,plain,
    ( sk0_0 = sum(n11,sum(n20,n10))
    | ~ spl0_12
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f36,f4939]) ).

fof(f4941,plain,
    ( sk0_0 = sum(n11,n9)
    | ~ spl0_12
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f476,f4940]) ).

fof(f4942,plain,
    ( sk0_0 = n20
    | ~ spl0_12
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f286,f4941]) ).

fof(f4943,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4942,f510]) ).

fof(f4944,plain,
    ( ~ spl0_12
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f4943]) ).

fof(f4945,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f755,f489]) ).

fof(f4946,plain,
    ( sk0_0 = sum(pred(sum(n11,succ(sk0_2))),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f755,f4945]) ).

fof(f4984,plain,
    ( sk0_0 = sum(pred(sum(n11,succ(n3))),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f795,f1096]) ).

fof(f4985,plain,
    ( sk0_0 = sum(pred(sum(n11,n4)),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f7,f4984]) ).

fof(f4986,plain,
    ( sk0_0 = sum(pred(n15),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f281,f4985]) ).

fof(f4987,plain,
    ( sk0_0 = sum(n14,sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f40,f4986]) ).

fof(f4988,plain,
    ( sk0_0 = sum(n14,sum(n3,pred(sum(n11,sk0_2))))
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f795,f4987]) ).

fof(f4989,plain,
    ( sk0_0 = sum(n14,sum(n3,pred(sum(n11,n3))))
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f795,f4988]) ).

fof(f4990,plain,
    ( sk0_0 = sum(n14,sum(n3,pred(n14)))
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f280,f4989]) ).

fof(f4991,plain,
    ( sk0_0 = sum(n14,sum(n3,n13))
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f39,f4990]) ).

fof(f4992,plain,
    ( sk0_0 = sum(n14,n16)
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f122,f4991]) ).

fof(f4993,plain,
    ( sk0_0 = n9
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f356,f4992]) ).

fof(f4994,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4993,f499]) ).

fof(f4995,plain,
    ( ~ spl0_24
    | ~ spl0_11 ),
    inference(contradiction_clause,[status(thm)],[f4994]) ).

fof(f4996,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n3))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f795,f489]) ).

fof(f4997,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n4)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f7,f4996]) ).

fof(f4998,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n4)),sum(n3,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f795,f4997]) ).

fof(f4999,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f795,f4998]) ).

fof(f5020,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n4)),sum(n3,pred(sum(n13,n3))))
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(backward_demodulation,[status(thm)],[f761,f3998]) ).

fof(f5021,plain,
    ( sk0_0 = sum(pred(sum(n13,n4)),sum(n3,pred(sum(n13,n3))))
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f761,f5020]) ).

fof(f5022,plain,
    ( sk0_0 = sum(pred(n17),sum(n3,pred(sum(n13,n3))))
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f323,f5021]) ).

fof(f5023,plain,
    ( sk0_0 = sum(n16,sum(n3,pred(sum(n13,n3))))
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f42,f5022]) ).

fof(f5024,plain,
    ( sk0_0 = sum(n16,sum(n3,pred(n16)))
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f322,f5023]) ).

fof(f5025,plain,
    ( sk0_0 = sum(n16,sum(n3,n15))
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f41,f5024]) ).

fof(f5026,plain,
    ( sk0_0 = sum(n16,n18)
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f124,f5025]) ).

fof(f5027,plain,
    ( sk0_0 = n13
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f400,f5026]) ).

fof(f5028,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5027,f503]) ).

fof(f5029,plain,
    ( ~ spl0_13
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f5028]) ).

fof(f5069,plain,
    ( sk0_0 = sum(pred(sum(n19,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f779,f4999]) ).

fof(f5070,plain,
    ( sk0_0 = sum(pred(n2),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f449,f5069]) ).

fof(f5071,plain,
    ( sk0_0 = sum(n1,sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f27,f5070]) ).

fof(f5072,plain,
    ( sk0_0 = sum(n1,sum(n3,pred(sum(n19,n3))))
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f779,f5071]) ).

fof(f5073,plain,
    ( sk0_0 = sum(n1,sum(n3,pred(n1)))
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f448,f5072]) ).

fof(f5074,plain,
    ( sk0_0 = sum(n1,sum(n3,n0))
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f26,f5073]) ).

fof(f5075,plain,
    ( sk0_0 = sum(n1,n3)
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f109,f5074]) ).

fof(f5076,plain,
    ( sk0_0 = n4
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f70,f5075]) ).

fof(f5077,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5076,f494]) ).

fof(f5078,plain,
    ( ~ spl0_19
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f5077]) ).

fof(f5079,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n0,sk0_2))))
    | ~ spl0_0 ),
    inference(backward_demodulation,[status(thm)],[f722,f489]) ).

fof(f5080,plain,
    ( sk0_0 = sum(pred(sum(n0,succ(sk0_2))),sum(sk0_2,pred(sum(n0,sk0_2))))
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f722,f5079]) ).

fof(f5120,plain,
    ( sk0_0 = sum(pred(sum(n0,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_0
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f722,f1985]) ).

fof(f5121,plain,
    ( sk0_0 = sum(pred(n18),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_0
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f64,f5120]) ).

fof(f5122,plain,
    ( sk0_0 = sum(n17,sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_0
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f43,f5121]) ).

fof(f5123,plain,
    ( sk0_0 = sum(n17,sum(n17,pred(sum(n0,n17))))
    | ~ spl0_0
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f722,f5122]) ).

fof(f5124,plain,
    ( sk0_0 = sum(n17,sum(n17,pred(n17)))
    | ~ spl0_0
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f63,f5123]) ).

fof(f5125,plain,
    ( sk0_0 = sum(n17,sum(n17,n16))
    | ~ spl0_0
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f42,f5124]) ).

fof(f5126,plain,
    ( sk0_0 = sum(n17,n12)
    | ~ spl0_0
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f419,f5125]) ).

fof(f5127,plain,
    ( sk0_0 = n8
    | ~ spl0_0
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f415,f5126]) ).

fof(f5128,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5127,f498]) ).

fof(f5129,plain,
    ( ~ spl0_0
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f5128]) ).

fof(f5171,plain,
    ( sk0_0 = sum(pred(sum(n16,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_16
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f770,f1897]) ).

fof(f5172,plain,
    ( sk0_0 = sum(pred(n16),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_16
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f382,f5171]) ).

fof(f5173,plain,
    ( sk0_0 = sum(n15,sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_16
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f41,f5172]) ).

fof(f5174,plain,
    ( sk0_0 = sum(n15,sum(n20,pred(sum(n16,n20))))
    | ~ spl0_16
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f770,f5173]) ).

fof(f5175,plain,
    ( sk0_0 = sum(n15,sum(n20,pred(n15)))
    | ~ spl0_16
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f402,f5174]) ).

fof(f5176,plain,
    ( sk0_0 = sum(n15,sum(n20,n14))
    | ~ spl0_16
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f40,f5175]) ).

fof(f5177,plain,
    ( sk0_0 = sum(n15,n13)
    | ~ spl0_16
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f480,f5176]) ).

fof(f5178,plain,
    ( sk0_0 = n7
    | ~ spl0_16
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f374,f5177]) ).

fof(f5179,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5178,f497]) ).

fof(f5180,plain,
    ( ~ spl0_16
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f5179]) ).

fof(f5181,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f767,f489]) ).

fof(f5182,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(sk0_2))),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f767,f5181]) ).

fof(f5203,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(sk0_2))),sum(sk0_2,pred(sum(n15,n3))))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f795,f1086]) ).

fof(f5204,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(n3))),sum(sk0_2,pred(sum(n15,n3))))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f795,f5203]) ).

fof(f5205,plain,
    ( sk0_0 = sum(pred(sum(n15,n4)),sum(sk0_2,pred(sum(n15,n3))))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f7,f5204]) ).

fof(f5206,plain,
    ( sk0_0 = sum(pred(n19),sum(sk0_2,pred(sum(n15,n3))))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f365,f5205]) ).

fof(f5207,plain,
    ( sk0_0 = sum(n18,sum(sk0_2,pred(sum(n15,n3))))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f44,f5206]) ).

fof(f5208,plain,
    ( sk0_0 = sum(n18,sum(n3,pred(sum(n15,n3))))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f795,f5207]) ).

fof(f5209,plain,
    ( sk0_0 = sum(n18,sum(n3,pred(n18)))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f364,f5208]) ).

fof(f5210,plain,
    ( sk0_0 = sum(n18,sum(n3,n17))
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f43,f5209]) ).

fof(f5211,plain,
    ( sk0_0 = sum(n18,n20)
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f126,f5210]) ).

fof(f5212,plain,
    ( sk0_0 = n17
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f444,f5211]) ).

fof(f5213,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5212,f507]) ).

fof(f5214,plain,
    ( ~ spl0_24
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f5213]) ).

fof(f5215,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n17,sk0_2))))
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f773,f489]) ).

fof(f5216,plain,
    ( sk0_0 = sum(pred(sum(n17,succ(sk0_2))),sum(sk0_2,pred(sum(n17,sk0_2))))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f773,f5215]) ).

fof(f5256,plain,
    ( sk0_0 = sum(pred(sum(n17,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f773,f3982]) ).

fof(f5257,plain,
    ( sk0_0 = sum(pred(n14),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f421,f5256]) ).

fof(f5258,plain,
    ( sk0_0 = sum(n13,sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f39,f5257]) ).

fof(f5259,plain,
    ( sk0_0 = sum(n13,sum(n17,pred(sum(n17,n17))))
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f773,f5258]) ).

fof(f5260,plain,
    ( sk0_0 = sum(n13,sum(n17,pred(n13)))
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f420,f5259]) ).

fof(f5261,plain,
    ( sk0_0 = sum(n13,sum(n17,n12))
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f38,f5260]) ).

fof(f5262,plain,
    ( sk0_0 = sum(n13,n8)
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f415,f5261]) ).

fof(f5263,plain,
    ( sk0_0 = n0
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f327,f5262]) ).

fof(f5264,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5263,f490]) ).

fof(f5265,plain,
    ( ~ spl0_17
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f5264]) ).

fof(f5285,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f740,f489]) ).

fof(f5286,plain,
    ( sk0_0 = sum(pred(sum(n6,succ(sk0_2))),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f740,f5285]) ).

fof(f5326,plain,
    ( sk0_0 = sum(pred(sum(n6,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f740,f3998]) ).

fof(f5327,plain,
    ( sk0_0 = sum(pred(n10),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f176,f5326]) ).

fof(f5328,plain,
    ( sk0_0 = sum(n9,sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f35,f5327]) ).

fof(f5329,plain,
    ( sk0_0 = sum(n9,sum(n3,pred(sum(n6,n3))))
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f740,f5328]) ).

fof(f5330,plain,
    ( sk0_0 = sum(n9,sum(n3,pred(n9)))
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f175,f5329]) ).

fof(f5331,plain,
    ( sk0_0 = sum(n9,sum(n3,n8))
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f34,f5330]) ).

fof(f5332,plain,
    ( sk0_0 = sum(n9,n11)
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f117,f5331]) ).

fof(f5333,plain,
    ( sk0_0 = n20
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f246,f5332]) ).

fof(f5334,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5333,f510]) ).

fof(f5335,plain,
    ( ~ spl0_6
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f5334]) ).

fof(f5375,plain,
    ( sk0_0 = sum(pred(sum(n5,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_5
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f737,f1985]) ).

fof(f5376,plain,
    ( sk0_0 = sum(pred(n2),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_5
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f169,f5375]) ).

fof(f5377,plain,
    ( sk0_0 = sum(n1,sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_5
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f27,f5376]) ).

fof(f5378,plain,
    ( sk0_0 = sum(n1,sum(n17,pred(sum(n5,n17))))
    | ~ spl0_5
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f737,f5377]) ).

fof(f5379,plain,
    ( sk0_0 = sum(n1,sum(n17,pred(n1)))
    | ~ spl0_5
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f168,f5378]) ).

fof(f5380,plain,
    ( sk0_0 = sum(n1,sum(n17,n0))
    | ~ spl0_5
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f26,f5379]) ).

fof(f5381,plain,
    ( sk0_0 = sum(n1,n17)
    | ~ spl0_5
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f403,f5380]) ).

fof(f5382,plain,
    ( sk0_0 = n18
    | ~ spl0_5
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f84,f5381]) ).

fof(f5383,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5382,f508]) ).

fof(f5384,plain,
    ( ~ spl0_5
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f5383]) ).

fof(f5385,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f731,f489]) ).

fof(f5386,plain,
    ( sk0_0 = sum(pred(sum(n3,succ(sk0_2))),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f731,f5385]) ).

fof(f5426,plain,
    ( sk0_0 = sum(pred(sum(n3,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f731,f4999]) ).

fof(f5427,plain,
    ( sk0_0 = sum(pred(n7),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f113,f5426]) ).

fof(f5428,plain,
    ( sk0_0 = sum(n6,sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f32,f5427]) ).

fof(f5429,plain,
    ( sk0_0 = sum(n6,sum(n3,pred(sum(n3,n3))))
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f731,f5428]) ).

fof(f5430,plain,
    ( sk0_0 = sum(n6,sum(n3,pred(n6)))
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f112,f5429]) ).

fof(f5431,plain,
    ( sk0_0 = sum(n6,sum(n3,n5))
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f31,f5430]) ).

fof(f5432,plain,
    ( sk0_0 = sum(n6,n8)
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f114,f5431]) ).

fof(f5433,plain,
    ( sk0_0 = n14
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f180,f5432]) ).

fof(f5434,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5433,f504]) ).

fof(f5435,plain,
    ( ~ spl0_3
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f5434]) ).

fof(f5437,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f752,f489]) ).

fof(f5438,plain,
    ( sk0_0 = sum(pred(sum(n10,succ(sk0_2))),sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f752,f5437]) ).

fof(f5478,plain,
    ( sk0_0 = sum(pred(sum(n10,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_10
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f752,f3982]) ).

fof(f5479,plain,
    ( sk0_0 = sum(pred(n7),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_10
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f274,f5478]) ).

fof(f5480,plain,
    ( sk0_0 = sum(n6,sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_10
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f32,f5479]) ).

fof(f5481,plain,
    ( sk0_0 = sum(n6,sum(n17,pred(sum(n10,n17))))
    | ~ spl0_10
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f752,f5480]) ).

fof(f5482,plain,
    ( sk0_0 = sum(n6,sum(n17,pred(n6)))
    | ~ spl0_10
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f273,f5481]) ).

fof(f5483,plain,
    ( sk0_0 = sum(n6,sum(n17,n5))
    | ~ spl0_10
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f31,f5482]) ).

fof(f5484,plain,
    ( sk0_0 = sum(n6,n1)
    | ~ spl0_10
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f408,f5483]) ).

fof(f5485,plain,
    ( sk0_0 = n7
    | ~ spl0_10
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f173,f5484]) ).

fof(f5486,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5485,f497]) ).

fof(f5487,plain,
    ( ~ spl0_10
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f5486]) ).

fof(f5488,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f749,f489]) ).

fof(f5489,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(sk0_2))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f749,f5488]) ).

fof(f5529,plain,
    ( sk0_0 = sum(pred(sum(n9,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f749,f3998]) ).

fof(f5530,plain,
    ( sk0_0 = sum(pred(n13),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f239,f5529]) ).

fof(f5531,plain,
    ( sk0_0 = sum(n12,sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f38,f5530]) ).

fof(f5532,plain,
    ( sk0_0 = sum(n12,sum(n3,pred(sum(n9,n3))))
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f749,f5531]) ).

fof(f5533,plain,
    ( sk0_0 = sum(n12,sum(n3,pred(n12)))
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f238,f5532]) ).

fof(f5534,plain,
    ( sk0_0 = sum(n12,sum(n3,n11))
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f37,f5533]) ).

fof(f5535,plain,
    ( sk0_0 = sum(n12,n14)
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f120,f5534]) ).

fof(f5536,plain,
    ( sk0_0 = n5
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f312,f5535]) ).

fof(f5537,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5536,f495]) ).

fof(f5538,plain,
    ( ~ spl0_9
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f5537]) ).

fof(f5539,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f743,f489]) ).

fof(f5540,plain,
    ( sk0_0 = sum(pred(sum(n7,succ(sk0_2))),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f743,f5539]) ).

fof(f5580,plain,
    ( sk0_0 = sum(pred(sum(n7,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_7
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f743,f1985]) ).

fof(f5581,plain,
    ( sk0_0 = sum(pred(n4),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_7
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f211,f5580]) ).

fof(f5582,plain,
    ( sk0_0 = sum(n3,sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_7
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f29,f5581]) ).

fof(f5583,plain,
    ( sk0_0 = sum(n3,sum(n17,pred(sum(n7,n17))))
    | ~ spl0_7
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f743,f5582]) ).

fof(f5584,plain,
    ( sk0_0 = sum(n3,sum(n17,pred(n3)))
    | ~ spl0_7
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f210,f5583]) ).

fof(f5585,plain,
    ( sk0_0 = sum(n3,sum(n17,n2))
    | ~ spl0_7
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f28,f5584]) ).

fof(f5586,plain,
    ( sk0_0 = sum(n3,n19)
    | ~ spl0_7
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f405,f5585]) ).

fof(f5587,plain,
    ( sk0_0 = n1
    | ~ spl0_7
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f128,f5586]) ).

fof(f5588,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5587,f491]) ).

fof(f5589,plain,
    ( ~ spl0_7
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f5588]) ).

fof(f5611,plain,
    ( sk0_0 = sum(pred(sum(n1,succ(sk0_2))),sum(sk0_2,pred(sum(n1,n0))))
    | ~ spl0_21
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f786,f1138]) ).

fof(f5612,plain,
    ( sk0_0 = sum(pred(sum(n1,succ(n0))),sum(sk0_2,pred(sum(n1,n0))))
    | ~ spl0_21
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f786,f5611]) ).

fof(f5613,plain,
    ( sk0_0 = sum(pred(sum(n1,n1)),sum(sk0_2,pred(sum(n1,n0))))
    | ~ spl0_21
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f4,f5612]) ).

fof(f5614,plain,
    ( sk0_0 = sum(pred(n2),sum(sk0_2,pred(sum(n1,n0))))
    | ~ spl0_21
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f68,f5613]) ).

fof(f5615,plain,
    ( sk0_0 = sum(n1,sum(sk0_2,pred(sum(n1,n0))))
    | ~ spl0_21
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f27,f5614]) ).

fof(f5616,plain,
    ( sk0_0 = sum(n1,sum(n0,pred(sum(n1,n0))))
    | ~ spl0_21
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f786,f5615]) ).

fof(f5617,plain,
    ( sk0_0 = sum(n1,sum(n0,pred(n1)))
    | ~ spl0_21
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f67,f5616]) ).

fof(f5618,plain,
    ( sk0_0 = sum(n1,sum(n0,n0))
    | ~ spl0_21
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f26,f5617]) ).

fof(f5619,plain,
    ( sk0_0 = sum(n1,n0)
    | ~ spl0_21
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f46,f5618]) ).

fof(f5620,plain,
    ( sk0_0 = n1
    | ~ spl0_21
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f67,f5619]) ).

fof(f5621,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5620,f491]) ).

fof(f5622,plain,
    ( ~ spl0_21
    | ~ spl0_1 ),
    inference(contradiction_clause,[status(thm)],[f5621]) ).

fof(f5623,plain,
    ( sk0_0 = sum(pred(sum(n1,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f725,f4645]) ).

fof(f5624,plain,
    ( sk0_0 = sum(pred(n3),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f69,f5623]) ).

fof(f5625,plain,
    ( sk0_0 = sum(n2,sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f28,f5624]) ).

fof(f5626,plain,
    ( sk0_0 = sum(n2,sum(n1,pred(sum(n1,n1))))
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f725,f5625]) ).

fof(f5627,plain,
    ( sk0_0 = sum(n2,sum(n1,pred(n2)))
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f68,f5626]) ).

fof(f5628,plain,
    ( sk0_0 = sum(n2,sum(n1,n1))
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f27,f5627]) ).

fof(f5629,plain,
    ( sk0_0 = sum(n2,n2)
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f68,f5628]) ).

fof(f5630,plain,
    ( sk0_0 = n4
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f90,f5629]) ).

fof(f5631,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5630,f494]) ).

fof(f5632,plain,
    ( ~ spl0_1
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f5631]) ).

fof(f5633,plain,
    ( sk0_0 = sum(pred(sum(n1,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f725,f4447]) ).

fof(f5634,plain,
    ( sk0_0 = sum(pred(n10),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f76,f5633]) ).

fof(f5635,plain,
    ( sk0_0 = sum(n9,sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f35,f5634]) ).

fof(f5636,plain,
    ( sk0_0 = sum(n9,sum(n8,pred(sum(n1,n8))))
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f725,f5635]) ).

fof(f5637,plain,
    ( sk0_0 = sum(n9,sum(n8,pred(n9)))
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f75,f5636]) ).

fof(f5638,plain,
    ( sk0_0 = sum(n9,sum(n8,n8))
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f34,f5637]) ).

fof(f5639,plain,
    ( sk0_0 = sum(n9,n16)
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f222,f5638]) ).

fof(f5640,plain,
    ( sk0_0 = n4
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f251,f5639]) ).

fof(f5641,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5640,f494]) ).

fof(f5642,plain,
    ( ~ spl0_1
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f5641]) ).

fof(f5643,plain,
    ( sk0_0 = sum(pred(sum(n1,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_1
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f725,f4591]) ).

fof(f5644,plain,
    ( sk0_0 = sum(pred(n14),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_1
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f80,f5643]) ).

fof(f5645,plain,
    ( sk0_0 = sum(n13,sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_1
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f39,f5644]) ).

fof(f5646,plain,
    ( sk0_0 = sum(n13,sum(n12,pred(sum(n1,n12))))
    | ~ spl0_1
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f725,f5645]) ).

fof(f5647,plain,
    ( sk0_0 = sum(n13,sum(n12,pred(n13)))
    | ~ spl0_1
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f79,f5646]) ).

fof(f5648,plain,
    ( sk0_0 = sum(n13,sum(n12,n12))
    | ~ spl0_1
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f38,f5647]) ).

fof(f5649,plain,
    ( sk0_0 = sum(n13,n3)
    | ~ spl0_1
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f310,f5648]) ).

fof(f5650,plain,
    ( sk0_0 = n16
    | ~ spl0_1
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f322,f5649]) ).

fof(f5651,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5650,f506]) ).

fof(f5652,plain,
    ( ~ spl0_1
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f5651]) ).

fof(f5653,plain,
    ( sk0_0 = sum(pred(sum(n1,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f725,f4483]) ).

fof(f5654,plain,
    ( sk0_0 = sum(pred(n12),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f78,f5653]) ).

fof(f5655,plain,
    ( sk0_0 = sum(n11,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f37,f5654]) ).

fof(f5656,plain,
    ( sk0_0 = sum(n11,sum(n10,pred(sum(n1,n10))))
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f725,f5655]) ).

fof(f5657,plain,
    ( sk0_0 = sum(n11,sum(n10,pred(n11)))
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f77,f5656]) ).

fof(f5658,plain,
    ( sk0_0 = sum(n11,sum(n10,n10))
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f36,f5657]) ).

fof(f5659,plain,
    ( sk0_0 = sum(n11,n20)
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f266,f5658]) ).

fof(f5660,plain,
    ( sk0_0 = n10
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f297,f5659]) ).

fof(f5661,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5660,f500]) ).

fof(f5662,plain,
    ( ~ spl0_1
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f5661]) ).

fof(f5663,plain,
    ( sk0_0 = sum(pred(sum(n1,n7)),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f725,f3236]) ).

fof(f5664,plain,
    ( sk0_0 = sum(pred(n8),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f74,f5663]) ).

fof(f5665,plain,
    ( sk0_0 = sum(n7,sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f33,f5664]) ).

fof(f5666,plain,
    ( sk0_0 = sum(n7,sum(n6,pred(sum(n1,n6))))
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f725,f5665]) ).

fof(f5667,plain,
    ( sk0_0 = sum(n7,sum(n6,pred(n7)))
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f73,f5666]) ).

fof(f5668,plain,
    ( sk0_0 = sum(n7,sum(n6,n6))
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f32,f5667]) ).

fof(f5669,plain,
    ( sk0_0 = sum(n7,n12)
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f178,f5668]) ).

fof(f5670,plain,
    ( sk0_0 = n19
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f205,f5669]) ).

fof(f5671,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5670,f509]) ).

fof(f5672,plain,
    ( ~ spl0_1
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f5671]) ).

fof(f5673,plain,
    ( sk0_0 = sum(pred(sum(n1,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f725,f4999]) ).

fof(f5674,plain,
    ( sk0_0 = sum(pred(n5),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f71,f5673]) ).

fof(f5675,plain,
    ( sk0_0 = sum(n4,sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f30,f5674]) ).

fof(f5676,plain,
    ( sk0_0 = sum(n4,sum(n3,pred(sum(n1,n3))))
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f725,f5675]) ).

fof(f5677,plain,
    ( sk0_0 = sum(n4,sum(n3,pred(n4)))
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f70,f5676]) ).

fof(f5678,plain,
    ( sk0_0 = sum(n4,sum(n3,n3))
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f29,f5677]) ).

fof(f5679,plain,
    ( sk0_0 = sum(n4,n6)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f112,f5678]) ).

fof(f5680,plain,
    ( sk0_0 = n10
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f136,f5679]) ).

fof(f5681,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5680,f500]) ).

fof(f5682,plain,
    ( ~ spl0_1
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f5681]) ).

fof(f5702,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n2,sk0_2))))
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f728,f489]) ).

fof(f5703,plain,
    ( sk0_0 = sum(pred(sum(n2,succ(sk0_2))),sum(sk0_2,pred(sum(n2,sk0_2))))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f728,f5702]) ).

fof(f5743,plain,
    ( sk0_0 = sum(pred(sum(n2,succ(n18))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_39
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f840,f1071]) ).

fof(f5744,plain,
    ( sk0_0 = sum(pred(sum(n2,n19)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_39
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f22,f5743]) ).

fof(f5745,plain,
    ( sk0_0 = sum(pred(n0),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_39
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f107,f5744]) ).

fof(f5746,plain,
    ( sk0_0 = sum(n20,sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_39
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f25,f5745]) ).

fof(f5747,plain,
    ( sk0_0 = sum(n20,sum(n18,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_39
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f840,f5746]) ).

fof(f5748,plain,
    ( sk0_0 = sum(n20,sum(n18,pred(sum(n2,sk0_2))))
    | ~ spl0_39
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f728,f5747]) ).

fof(f5749,plain,
    ( sk0_0 = sum(n20,sum(n18,pred(sum(n2,n18))))
    | ~ spl0_39
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f840,f5748]) ).

fof(f5750,plain,
    ( sk0_0 = sum(n20,sum(n18,pred(n20)))
    | ~ spl0_39
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f106,f5749]) ).

fof(f5751,plain,
    ( sk0_0 = sum(n20,sum(n18,n19))
    | ~ spl0_39
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f45,f5750]) ).

fof(f5752,plain,
    ( sk0_0 = sum(n20,n16)
    | ~ spl0_39
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f443,f5751]) ).

fof(f5753,plain,
    ( sk0_0 = n15
    | ~ spl0_39
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f482,f5752]) ).

fof(f5754,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5753,f505]) ).

fof(f5755,plain,
    ( ~ spl0_39
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f5754]) ).

fof(f5756,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f798,f489]) ).

fof(f5757,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n4))),sum(sk0_2,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f798,f5756]) ).

fof(f5758,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n5)),sum(sk0_2,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f8,f5757]) ).

fof(f5759,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f798,f5758]) ).

fof(f5780,plain,
    ( sk0_0 = sum(pred(sum(n20,succ(n4))),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_25
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f798,f1843]) ).

fof(f5781,plain,
    ( sk0_0 = sum(pred(sum(n20,n5)),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_25
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f8,f5780]) ).

fof(f5782,plain,
    ( sk0_0 = sum(pred(n4),sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_25
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f471,f5781]) ).

fof(f5783,plain,
    ( sk0_0 = sum(n3,sum(sk0_2,pred(sum(n20,sk0_2))))
    | ~ spl0_25
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f29,f5782]) ).

fof(f5784,plain,
    ( sk0_0 = sum(n3,sum(n4,pred(sum(n20,sk0_2))))
    | ~ spl0_25
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f798,f5783]) ).

fof(f5785,plain,
    ( sk0_0 = sum(n3,sum(n4,pred(sum(n20,n4))))
    | ~ spl0_25
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f798,f5784]) ).

fof(f5786,plain,
    ( sk0_0 = sum(n3,sum(n4,pred(n3)))
    | ~ spl0_25
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f470,f5785]) ).

fof(f5787,plain,
    ( sk0_0 = sum(n3,sum(n4,n2))
    | ~ spl0_25
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f28,f5786]) ).

fof(f5788,plain,
    ( sk0_0 = sum(n3,n6)
    | ~ spl0_25
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f132,f5787]) ).

fof(f5789,plain,
    ( sk0_0 = n9
    | ~ spl0_25
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f115,f5788]) ).

fof(f5790,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5789,f499]) ).

fof(f5791,plain,
    ( ~ spl0_25
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f5790]) ).

fof(f5833,plain,
    ( sk0_0 = sum(pred(sum(n12,n3)),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f758,f3754]) ).

fof(f5834,plain,
    ( sk0_0 = sum(pred(n15),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f301,f5833]) ).

fof(f5835,plain,
    ( sk0_0 = sum(n14,sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f40,f5834]) ).

fof(f5836,plain,
    ( sk0_0 = sum(n14,sum(n2,pred(sum(n12,n2))))
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f758,f5835]) ).

fof(f5837,plain,
    ( sk0_0 = sum(n14,sum(n2,pred(n14)))
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f300,f5836]) ).

fof(f5838,plain,
    ( sk0_0 = sum(n14,sum(n2,n13))
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f39,f5837]) ).

fof(f5839,plain,
    ( sk0_0 = sum(n14,n15)
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f101,f5838]) ).

fof(f5840,plain,
    ( sk0_0 = n8
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f355,f5839]) ).

fof(f5841,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5840,f498]) ).

fof(f5842,plain,
    ( ~ spl0_12
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f5841]) ).

fof(f5884,plain,
    ( sk0_0 = sum(pred(sum(n11,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f755,f4681]) ).

fof(f5885,plain,
    ( sk0_0 = sum(pred(n17),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f283,f5884]) ).

fof(f5886,plain,
    ( sk0_0 = sum(n16,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f42,f5885]) ).

fof(f5887,plain,
    ( sk0_0 = sum(n16,sum(n5,pred(sum(n11,n5))))
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f755,f5886]) ).

fof(f5888,plain,
    ( sk0_0 = sum(n16,sum(n5,pred(n16)))
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f282,f5887]) ).

fof(f5889,plain,
    ( sk0_0 = sum(n16,sum(n5,n15))
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f41,f5888]) ).

fof(f5890,plain,
    ( sk0_0 = sum(n16,n20)
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f166,f5889]) ).

fof(f5891,plain,
    ( sk0_0 = n15
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f402,f5890]) ).

fof(f5892,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5891,f505]) ).

fof(f5893,plain,
    ( ~ spl0_11
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f5892]) ).

fof(f5914,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n13,sk0_2))))
    | ~ spl0_13 ),
    inference(backward_demodulation,[status(thm)],[f761,f489]) ).

fof(f5915,plain,
    ( sk0_0 = sum(pred(sum(n13,succ(sk0_2))),sum(sk0_2,pred(sum(n13,sk0_2))))
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f761,f5914]) ).

fof(f5955,plain,
    ( sk0_0 = sum(pred(sum(n13,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_13
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f761,f3841]) ).

fof(f5956,plain,
    ( sk0_0 = sum(pred(n13),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_13
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f319,f5955]) ).

fof(f5957,plain,
    ( sk0_0 = sum(n12,sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_13
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f38,f5956]) ).

fof(f5958,plain,
    ( sk0_0 = sum(n12,sum(n20,pred(sum(n13,n20))))
    | ~ spl0_13
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f761,f5957]) ).

fof(f5959,plain,
    ( sk0_0 = sum(n12,sum(n20,pred(n12)))
    | ~ spl0_13
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f339,f5958]) ).

fof(f5960,plain,
    ( sk0_0 = sum(n12,sum(n20,n11))
    | ~ spl0_13
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f37,f5959]) ).

fof(f5961,plain,
    ( sk0_0 = sum(n12,n10)
    | ~ spl0_13
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f477,f5960]) ).

fof(f5962,plain,
    ( sk0_0 = n1
    | ~ spl0_13
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f308,f5961]) ).

fof(f5963,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5962,f491]) ).

fof(f5964,plain,
    ( ~ spl0_13
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f5963]) ).

fof(f5965,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f801,f489]) ).

fof(f5966,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n5))),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f801,f5965]) ).

fof(f5967,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n6)),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f9,f5966]) ).

fof(f5968,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f801,f5967]) ).

fof(f6008,plain,
    ( sk0_0 = sum(pred(sum(n19,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_19
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f779,f3895]) ).

fof(f6009,plain,
    ( sk0_0 = sum(pred(n4),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_19
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f451,f6008]) ).

fof(f6010,plain,
    ( sk0_0 = sum(n3,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_19
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f29,f6009]) ).

fof(f6011,plain,
    ( sk0_0 = sum(n3,sum(n5,pred(sum(n19,n5))))
    | ~ spl0_19
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f779,f6010]) ).

fof(f6012,plain,
    ( sk0_0 = sum(n3,sum(n5,pred(n3)))
    | ~ spl0_19
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f450,f6011]) ).

fof(f6013,plain,
    ( sk0_0 = sum(n3,sum(n5,n2))
    | ~ spl0_19
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f28,f6012]) ).

fof(f6014,plain,
    ( sk0_0 = sum(n3,n7)
    | ~ spl0_19
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f153,f6013]) ).

fof(f6015,plain,
    ( sk0_0 = n10
    | ~ spl0_19
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f116,f6014]) ).

fof(f6016,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6015,f500]) ).

fof(f6017,plain,
    ( ~ spl0_19
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f6016]) ).

fof(f6018,plain,
    ( sk0_0 = sum(pred(sum(n19,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f779,f489]) ).

fof(f6019,plain,
    ( sk0_0 = sum(pred(sum(n19,succ(sk0_2))),sum(sk0_2,pred(sum(n19,sk0_2))))
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f779,f6018]) ).

fof(f6020,plain,
    ( sk0_0 = sum(pred(sum(n19,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_19
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f779,f1897]) ).

fof(f6021,plain,
    ( sk0_0 = sum(pred(n19),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_19
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f445,f6020]) ).

fof(f6022,plain,
    ( sk0_0 = sum(n18,sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_19
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f44,f6021]) ).

fof(f6023,plain,
    ( sk0_0 = sum(n18,sum(n20,pred(sum(n19,n20))))
    | ~ spl0_19
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f779,f6022]) ).

fof(f6024,plain,
    ( sk0_0 = sum(n18,sum(n20,pred(n18)))
    | ~ spl0_19
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f465,f6023]) ).

fof(f6025,plain,
    ( sk0_0 = sum(n18,sum(n20,n17))
    | ~ spl0_19
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f43,f6024]) ).

fof(f6026,plain,
    ( sk0_0 = sum(n18,n16)
    | ~ spl0_19
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f483,f6025]) ).

fof(f6027,plain,
    ( sk0_0 = n13
    | ~ spl0_19
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f440,f6026]) ).

fof(f6028,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6027,f503]) ).

fof(f6029,plain,
    ( ~ spl0_19
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f6028]) ).

fof(f6030,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n20))))
    | ~ spl0_41 ),
    inference(backward_demodulation,[status(thm)],[f846,f489]) ).

fof(f6031,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n20))),sum(sk0_2,pred(sum(sk0_1,n20))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f846,f6030]) ).

fof(f6032,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n0)),sum(sk0_2,pred(sum(sk0_1,n20))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f24,f6031]) ).

fof(f6033,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f846,f6032]) ).

fof(f6073,plain,
    ( sk0_0 = sum(pred(sum(n0,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_0
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f722,f3841]) ).

fof(f6074,plain,
    ( sk0_0 = sum(pred(n0),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_0
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f46,f6073]) ).

fof(f6075,plain,
    ( sk0_0 = sum(n20,sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_0
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f25,f6074]) ).

fof(f6076,plain,
    ( sk0_0 = sum(n20,sum(n20,pred(sum(n0,n20))))
    | ~ spl0_0
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f722,f6075]) ).

fof(f6077,plain,
    ( sk0_0 = sum(n20,sum(n20,pred(n20)))
    | ~ spl0_0
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f66,f6076]) ).

fof(f6078,plain,
    ( sk0_0 = sum(n20,sum(n20,n19))
    | ~ spl0_0
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f45,f6077]) ).

fof(f6079,plain,
    ( sk0_0 = sum(n20,n18)
    | ~ spl0_0
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f485,f6078]) ).

fof(f6080,plain,
    ( sk0_0 = n17
    | ~ spl0_0
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f484,f6079]) ).

fof(f6081,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6080,f507]) ).

fof(f6082,plain,
    ( ~ spl0_0
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f6081]) ).

fof(f6083,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n16,sk0_2))))
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f770,f489]) ).

fof(f6084,plain,
    ( sk0_0 = sum(pred(sum(n16,succ(sk0_2))),sum(sk0_2,pred(sum(n16,sk0_2))))
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f770,f6083]) ).

fof(f6105,plain,
    ( sk0_0 = sum(pred(sum(n16,n3)),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f770,f4792]) ).

fof(f6106,plain,
    ( sk0_0 = sum(pred(n19),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f385,f6105]) ).

fof(f6107,plain,
    ( sk0_0 = sum(n18,sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f44,f6106]) ).

fof(f6108,plain,
    ( sk0_0 = sum(n18,sum(n2,pred(sum(n16,n2))))
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f770,f6107]) ).

fof(f6109,plain,
    ( sk0_0 = sum(n18,sum(n2,pred(n18)))
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f384,f6108]) ).

fof(f6110,plain,
    ( sk0_0 = sum(n18,sum(n2,n17))
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f43,f6109]) ).

fof(f6111,plain,
    ( sk0_0 = sum(n18,n19)
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f105,f6110]) ).

fof(f6112,plain,
    ( sk0_0 = n16
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f443,f6111]) ).

fof(f6113,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6112,f506]) ).

fof(f6114,plain,
    ( ~ spl0_16
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f6113]) ).

fof(f6156,plain,
    ( sk0_0 = sum(pred(sum(n15,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f767,f3982]) ).

fof(f6157,plain,
    ( sk0_0 = sum(pred(n12),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f379,f6156]) ).

fof(f6158,plain,
    ( sk0_0 = sum(n11,sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f37,f6157]) ).

fof(f6159,plain,
    ( sk0_0 = sum(n11,sum(n17,pred(sum(n15,n17))))
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f767,f6158]) ).

fof(f6160,plain,
    ( sk0_0 = sum(n11,sum(n17,pred(n11)))
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f378,f6159]) ).

fof(f6161,plain,
    ( sk0_0 = sum(n11,sum(n17,n10))
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f36,f6160]) ).

fof(f6162,plain,
    ( sk0_0 = sum(n11,n6)
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f413,f6161]) ).

fof(f6163,plain,
    ( sk0_0 = n17
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f283,f6162]) ).

fof(f6164,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6163,f507]) ).

fof(f6165,plain,
    ( ~ spl0_15
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f6164]) ).

fof(f6166,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n17,sk0_2))))
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f773,f489]) ).

fof(f6167,plain,
    ( sk0_0 = sum(pred(sum(n17,succ(sk0_2))),sum(sk0_2,pred(sum(n17,sk0_2))))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f773,f6166]) ).

fof(f6207,plain,
    ( sk0_0 = sum(pred(sum(n17,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f773,f1897]) ).

fof(f6208,plain,
    ( sk0_0 = sum(pred(n17),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f403,f6207]) ).

fof(f6209,plain,
    ( sk0_0 = sum(n16,sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f42,f6208]) ).

fof(f6210,plain,
    ( sk0_0 = sum(n16,sum(n20,pred(sum(n17,n20))))
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f773,f6209]) ).

fof(f6211,plain,
    ( sk0_0 = sum(n16,sum(n20,pred(n16)))
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f423,f6210]) ).

fof(f6212,plain,
    ( sk0_0 = sum(n16,sum(n20,n15))
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f41,f6211]) ).

fof(f6213,plain,
    ( sk0_0 = sum(n16,n14)
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f481,f6212]) ).

fof(f6214,plain,
    ( sk0_0 = n9
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f396,f6213]) ).

fof(f6215,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6214,f499]) ).

fof(f6216,plain,
    ( ~ spl0_17
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f6215]) ).

fof(f6217,plain,
    ( sk0_0 = sum(pred(sum(n6,succ(n20))),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_41
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f846,f5286]) ).

fof(f6218,plain,
    ( sk0_0 = sum(pred(sum(n6,n0)),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_41
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f24,f6217]) ).

fof(f6219,plain,
    ( sk0_0 = sum(pred(n6),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_41
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f172,f6218]) ).

fof(f6220,plain,
    ( sk0_0 = sum(n5,sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_41
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f31,f6219]) ).

fof(f6221,plain,
    ( sk0_0 = sum(n5,sum(n20,pred(sum(n6,sk0_2))))
    | ~ spl0_41
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f846,f6220]) ).

fof(f6222,plain,
    ( sk0_0 = sum(n5,sum(n20,pred(sum(n6,n20))))
    | ~ spl0_41
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f846,f6221]) ).

fof(f6223,plain,
    ( sk0_0 = sum(n5,sum(n20,pred(n5)))
    | ~ spl0_41
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f192,f6222]) ).

fof(f6224,plain,
    ( sk0_0 = sum(n5,sum(n20,n4))
    | ~ spl0_41
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f30,f6223]) ).

fof(f6225,plain,
    ( sk0_0 = sum(n5,n3)
    | ~ spl0_41
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f470,f6224]) ).

fof(f6226,plain,
    ( sk0_0 = n8
    | ~ spl0_41
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f154,f6225]) ).

fof(f6227,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6226,f498]) ).

fof(f6228,plain,
    ( ~ spl0_41
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f6227]) ).

fof(f6229,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f731,f489]) ).

fof(f6230,plain,
    ( sk0_0 = sum(pred(sum(n3,succ(sk0_2))),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f731,f6229]) ).

fof(f6270,plain,
    ( sk0_0 = sum(pred(sum(n3,succ(n17))),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_38
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f837,f1122]) ).

fof(f6271,plain,
    ( sk0_0 = sum(pred(sum(n3,n18)),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_38
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f21,f6270]) ).

fof(f6272,plain,
    ( sk0_0 = sum(pred(n0),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_38
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f127,f6271]) ).

fof(f6273,plain,
    ( sk0_0 = sum(n20,sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_38
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f25,f6272]) ).

fof(f6274,plain,
    ( sk0_0 = sum(n20,sum(n17,pred(sum(n3,sk0_2))))
    | ~ spl0_38
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f837,f6273]) ).

fof(f6275,plain,
    ( sk0_0 = sum(n20,sum(n17,pred(sum(n3,n17))))
    | ~ spl0_38
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f837,f6274]) ).

fof(f6276,plain,
    ( sk0_0 = sum(n20,sum(n17,pred(n20)))
    | ~ spl0_38
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f126,f6275]) ).

fof(f6277,plain,
    ( sk0_0 = sum(n20,sum(n17,n19))
    | ~ spl0_38
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f45,f6276]) ).

fof(f6278,plain,
    ( sk0_0 = sum(n20,n15)
    | ~ spl0_38
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f422,f6277]) ).

fof(f6279,plain,
    ( sk0_0 = n14
    | ~ spl0_38
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f481,f6278]) ).

fof(f6280,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6279,f504]) ).

fof(f6281,plain,
    ( ~ spl0_38
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f6280]) ).

fof(f6282,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f752,f489]) ).

fof(f6283,plain,
    ( sk0_0 = sum(pred(sum(n10,succ(sk0_2))),sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f752,f6282]) ).

fof(f6323,plain,
    ( sk0_0 = sum(pred(sum(n10,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f752,f3998]) ).

fof(f6324,plain,
    ( sk0_0 = sum(pred(n14),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f260,f6323]) ).

fof(f6325,plain,
    ( sk0_0 = sum(n13,sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f39,f6324]) ).

fof(f6326,plain,
    ( sk0_0 = sum(n13,sum(n3,pred(sum(n10,n3))))
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f752,f6325]) ).

fof(f6327,plain,
    ( sk0_0 = sum(n13,sum(n3,pred(n13)))
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f259,f6326]) ).

fof(f6328,plain,
    ( sk0_0 = sum(n13,sum(n3,n12))
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f38,f6327]) ).

fof(f6329,plain,
    ( sk0_0 = sum(n13,n15)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f121,f6328]) ).

fof(f6330,plain,
    ( sk0_0 = n7
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f334,f6329]) ).

fof(f6331,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6330,f497]) ).

fof(f6332,plain,
    ( ~ spl0_10
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f6331]) ).

fof(f6333,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f743,f489]) ).

fof(f6334,plain,
    ( sk0_0 = sum(pred(sum(n7,succ(sk0_2))),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f743,f6333]) ).

fof(f6355,plain,
    ( sk0_0 = sum(pred(sum(n7,succ(sk0_2))),sum(sk0_2,pred(sum(n7,n20))))
    | ~ spl0_41
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f846,f1108]) ).

fof(f6356,plain,
    ( sk0_0 = sum(pred(sum(n7,succ(n20))),sum(sk0_2,pred(sum(n7,n20))))
    | ~ spl0_41
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f846,f6355]) ).

fof(f6357,plain,
    ( sk0_0 = sum(pred(sum(n7,n0)),sum(sk0_2,pred(sum(n7,n20))))
    | ~ spl0_41
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f24,f6356]) ).

fof(f6358,plain,
    ( sk0_0 = sum(pred(n7),sum(sk0_2,pred(sum(n7,n20))))
    | ~ spl0_41
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f193,f6357]) ).

fof(f6359,plain,
    ( sk0_0 = sum(n6,sum(sk0_2,pred(sum(n7,n20))))
    | ~ spl0_41
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f32,f6358]) ).

fof(f6360,plain,
    ( sk0_0 = sum(n6,sum(n20,pred(sum(n7,n20))))
    | ~ spl0_41
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f846,f6359]) ).

fof(f6361,plain,
    ( sk0_0 = sum(n6,sum(n20,pred(n6)))
    | ~ spl0_41
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f213,f6360]) ).

fof(f6362,plain,
    ( sk0_0 = sum(n6,sum(n20,n5))
    | ~ spl0_41
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f31,f6361]) ).

fof(f6363,plain,
    ( sk0_0 = sum(n6,n4)
    | ~ spl0_41
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f471,f6362]) ).

fof(f6364,plain,
    ( sk0_0 = n10
    | ~ spl0_41
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f176,f6363]) ).

fof(f6365,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6364,f500]) ).

fof(f6366,plain,
    ( ~ spl0_41
    | ~ spl0_7 ),
    inference(contradiction_clause,[status(thm)],[f6365]) ).

fof(f6385,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n20))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f846,f489]) ).

fof(f6386,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n0)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f24,f6385]) ).

fof(f6387,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n0)),sum(n20,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f846,f6386]) ).

fof(f6388,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f846,f6387]) ).

fof(f6389,plain,
    ( sk0_0 = sum(pred(sum(n1,succ(n20))),sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_41
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f846,f4733]) ).

fof(f6390,plain,
    ( sk0_0 = sum(pred(sum(n1,n0)),sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_41
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f24,f6389]) ).

fof(f6391,plain,
    ( sk0_0 = sum(pred(n1),sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_41
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f67,f6390]) ).

fof(f6392,plain,
    ( sk0_0 = sum(n0,sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_41
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f26,f6391]) ).

fof(f6393,plain,
    ( sk0_0 = sum(n0,sum(n20,pred(sum(n1,sk0_2))))
    | ~ spl0_41
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f846,f6392]) ).

fof(f6394,plain,
    ( sk0_0 = sum(n0,sum(n20,pred(sum(n1,n20))))
    | ~ spl0_41
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f846,f6393]) ).

fof(f6395,plain,
    ( sk0_0 = sum(n0,sum(n20,pred(n0)))
    | ~ spl0_41
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f87,f6394]) ).

fof(f6396,plain,
    ( sk0_0 = sum(n0,sum(n20,n20))
    | ~ spl0_41
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f25,f6395]) ).

fof(f6397,plain,
    ( sk0_0 = sum(n0,n19)
    | ~ spl0_41
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f486,f6396]) ).

fof(f6398,plain,
    ( sk0_0 = n19
    | ~ spl0_41
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f65,f6397]) ).

fof(f6399,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6398,f509]) ).

fof(f6400,plain,
    ( ~ spl0_41
    | ~ spl0_1 ),
    inference(contradiction_clause,[status(thm)],[f6399]) ).

fof(f6422,plain,
    ( sk0_0 = sum(pred(sum(n2,succ(sk0_2))),sum(sk0_2,pred(sum(n2,n13))))
    | ~ spl0_34
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f825,f5703]) ).

fof(f6423,plain,
    ( sk0_0 = sum(pred(sum(n2,succ(n13))),sum(sk0_2,pred(sum(n2,n13))))
    | ~ spl0_34
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f825,f6422]) ).

fof(f6424,plain,
    ( sk0_0 = sum(pred(sum(n2,n14)),sum(sk0_2,pred(sum(n2,n13))))
    | ~ spl0_34
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f17,f6423]) ).

fof(f6425,plain,
    ( sk0_0 = sum(pred(n16),sum(sk0_2,pred(sum(n2,n13))))
    | ~ spl0_34
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f102,f6424]) ).

fof(f6426,plain,
    ( sk0_0 = sum(n15,sum(sk0_2,pred(sum(n2,n13))))
    | ~ spl0_34
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f41,f6425]) ).

fof(f6427,plain,
    ( sk0_0 = sum(n15,sum(n13,pred(sum(n2,n13))))
    | ~ spl0_34
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f825,f6426]) ).

fof(f6428,plain,
    ( sk0_0 = sum(n15,sum(n13,pred(n15)))
    | ~ spl0_34
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f101,f6427]) ).

fof(f6429,plain,
    ( sk0_0 = sum(n15,sum(n13,n14))
    | ~ spl0_34
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f40,f6428]) ).

fof(f6430,plain,
    ( sk0_0 = sum(n15,n6)
    | ~ spl0_34
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f333,f6429]) ).

fof(f6431,plain,
    ( sk0_0 = n0
    | ~ spl0_34
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f367,f6430]) ).

fof(f6432,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6431,f490]) ).

fof(f6433,plain,
    ( ~ spl0_34
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f6432]) ).

fof(f6451,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f786,f489]) ).

fof(f6452,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n0))),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f6451]) ).

fof(f6453,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f4,f6452]) ).

fof(f6454,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f6453]) ).

fof(f6494,plain,
    ( sk0_0 = sum(pred(sum(n12,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f758,f4537]) ).

fof(f6495,plain,
    ( sk0_0 = sum(pred(n13),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f299,f6494]) ).

fof(f6496,plain,
    ( sk0_0 = sum(n12,sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f38,f6495]) ).

fof(f6497,plain,
    ( sk0_0 = sum(n12,sum(n0,pred(sum(n12,n0))))
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f758,f6496]) ).

fof(f6498,plain,
    ( sk0_0 = sum(n12,sum(n0,pred(n12)))
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f298,f6497]) ).

fof(f6499,plain,
    ( sk0_0 = sum(n12,sum(n0,n11))
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f37,f6498]) ).

fof(f6500,plain,
    ( sk0_0 = sum(n12,n11)
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f57,f6499]) ).

fof(f6501,plain,
    ( sk0_0 = n2
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f309,f6500]) ).

fof(f6502,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6501,f492]) ).

fof(f6503,plain,
    ( ~ spl0_12
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f6502]) ).

fof(f6504,plain,
    ( sk0_0 = sum(pred(sum(n12,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f758,f5759]) ).

fof(f6505,plain,
    ( sk0_0 = sum(pred(n17),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f303,f6504]) ).

fof(f6506,plain,
    ( sk0_0 = sum(n16,sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f42,f6505]) ).

fof(f6507,plain,
    ( sk0_0 = sum(n16,sum(n4,pred(sum(n12,n4))))
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f758,f6506]) ).

fof(f6508,plain,
    ( sk0_0 = sum(n16,sum(n4,pred(n16)))
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f302,f6507]) ).

fof(f6509,plain,
    ( sk0_0 = sum(n16,sum(n4,n15))
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f41,f6508]) ).

fof(f6510,plain,
    ( sk0_0 = sum(n16,n19)
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f145,f6509]) ).

fof(f6511,plain,
    ( sk0_0 = n14
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f401,f6510]) ).

fof(f6512,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6511,f504]) ).

fof(f6513,plain,
    ( ~ spl0_12
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f6512]) ).

fof(f6514,plain,
    ( sk0_0 = sum(pred(sum(n12,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f758,f489]) ).

fof(f6515,plain,
    ( sk0_0 = sum(pred(sum(n12,succ(sk0_2))),sum(sk0_2,pred(sum(n12,sk0_2))))
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f758,f6514]) ).

fof(f6516,plain,
    ( sk0_0 = sum(pred(sum(n12,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f758,f3768]) ).

fof(f6517,plain,
    ( sk0_0 = sum(pred(n14),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f300,f6516]) ).

fof(f6518,plain,
    ( sk0_0 = sum(n13,sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f39,f6517]) ).

fof(f6519,plain,
    ( sk0_0 = sum(n13,sum(n1,pred(sum(n12,n1))))
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f758,f6518]) ).

fof(f6520,plain,
    ( sk0_0 = sum(n13,sum(n1,pred(n13)))
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f299,f6519]) ).

fof(f6521,plain,
    ( sk0_0 = sum(n13,sum(n1,n12))
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f38,f6520]) ).

fof(f6522,plain,
    ( sk0_0 = sum(n13,n13)
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f79,f6521]) ).

fof(f6523,plain,
    ( sk0_0 = n5
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f332,f6522]) ).

fof(f6524,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6523,f495]) ).

fof(f6525,plain,
    ( ~ spl0_12
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f6524]) ).

fof(f6526,plain,
    ( sk0_0 = sum(pred(sum(n12,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f758,f3358]) ).

fof(f6527,plain,
    ( sk0_0 = sum(pred(n0),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f307,f6526]) ).

fof(f6528,plain,
    ( sk0_0 = sum(n20,sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f25,f6527]) ).

fof(f6529,plain,
    ( sk0_0 = sum(n20,sum(n8,pred(sum(n12,n8))))
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f758,f6528]) ).

fof(f6530,plain,
    ( sk0_0 = sum(n20,sum(n8,pred(n20)))
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f306,f6529]) ).

fof(f6531,plain,
    ( sk0_0 = sum(n20,sum(n8,n19))
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f45,f6530]) ).

fof(f6532,plain,
    ( sk0_0 = sum(n20,n6)
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f233,f6531]) ).

fof(f6533,plain,
    ( sk0_0 = n5
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f472,f6532]) ).

fof(f6534,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6533,f495]) ).

fof(f6535,plain,
    ( ~ spl0_12
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f6534]) ).

fof(f6536,plain,
    ( sk0_0 = sum(pred(sum(n12,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f758,f3465]) ).

fof(f6537,plain,
    ( sk0_0 = sum(pred(n2),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f309,f6536]) ).

fof(f6538,plain,
    ( sk0_0 = sum(n1,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f27,f6537]) ).

fof(f6539,plain,
    ( sk0_0 = sum(n1,sum(n10,pred(sum(n12,n10))))
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f758,f6538]) ).

fof(f6540,plain,
    ( sk0_0 = sum(n1,sum(n10,pred(n1)))
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f308,f6539]) ).

fof(f6541,plain,
    ( sk0_0 = sum(n1,sum(n10,n0))
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f26,f6540]) ).

fof(f6542,plain,
    ( sk0_0 = sum(n1,n10)
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f256,f6541]) ).

fof(f6543,plain,
    ( sk0_0 = n11
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f77,f6542]) ).

fof(f6544,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6543,f501]) ).

fof(f6545,plain,
    ( ~ spl0_12
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f6544]) ).

fof(f6546,plain,
    ( sk0_0 = sum(pred(sum(n12,n7)),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f758,f3236]) ).

fof(f6547,plain,
    ( sk0_0 = sum(pred(n19),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f305,f6546]) ).

fof(f6548,plain,
    ( sk0_0 = sum(n18,sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f44,f6547]) ).

fof(f6549,plain,
    ( sk0_0 = sum(n18,sum(n6,pred(sum(n12,n6))))
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f758,f6548]) ).

fof(f6550,plain,
    ( sk0_0 = sum(n18,sum(n6,pred(n18)))
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f304,f6549]) ).

fof(f6551,plain,
    ( sk0_0 = sum(n18,sum(n6,n17))
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f43,f6550]) ).

fof(f6552,plain,
    ( sk0_0 = sum(n18,n2)
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f189,f6551]) ).

fof(f6553,plain,
    ( sk0_0 = n20
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f426,f6552]) ).

fof(f6554,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6553,f510]) ).

fof(f6555,plain,
    ( ~ spl0_12
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f6554]) ).

fof(f6556,plain,
    ( sk0_0 = sum(pred(sum(n12,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f758,f4999]) ).

fof(f6557,plain,
    ( sk0_0 = sum(pred(n16),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f302,f6556]) ).

fof(f6558,plain,
    ( sk0_0 = sum(n15,sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f41,f6557]) ).

fof(f6559,plain,
    ( sk0_0 = sum(n15,sum(n3,pred(sum(n12,n3))))
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f758,f6558]) ).

fof(f6560,plain,
    ( sk0_0 = sum(n15,sum(n3,pred(n15)))
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f301,f6559]) ).

fof(f6561,plain,
    ( sk0_0 = sum(n15,sum(n3,n14))
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f40,f6560]) ).

fof(f6562,plain,
    ( sk0_0 = sum(n15,n17)
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f123,f6561]) ).

fof(f6563,plain,
    ( sk0_0 = n11
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f378,f6562]) ).

fof(f6564,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6563,f501]) ).

fof(f6565,plain,
    ( ~ spl0_12
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f6564]) ).

fof(f6566,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f755,f489]) ).

fof(f6567,plain,
    ( sk0_0 = sum(pred(sum(n11,succ(sk0_2))),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f755,f6566]) ).

fof(f6588,plain,
    ( sk0_0 = sum(pred(sum(n11,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_11
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f755,f1985]) ).

fof(f6589,plain,
    ( sk0_0 = sum(pred(n8),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_11
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f295,f6588]) ).

fof(f6590,plain,
    ( sk0_0 = sum(n7,sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_11
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f33,f6589]) ).

fof(f6591,plain,
    ( sk0_0 = sum(n7,sum(n17,pred(sum(n11,n17))))
    | ~ spl0_11
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f755,f6590]) ).

fof(f6592,plain,
    ( sk0_0 = sum(n7,sum(n17,pred(n7)))
    | ~ spl0_11
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f294,f6591]) ).

fof(f6593,plain,
    ( sk0_0 = sum(n7,sum(n17,n6))
    | ~ spl0_11
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f32,f6592]) ).

fof(f6594,plain,
    ( sk0_0 = sum(n7,n2)
    | ~ spl0_11
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f409,f6593]) ).

fof(f6595,plain,
    ( sk0_0 = n9
    | ~ spl0_11
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f195,f6594]) ).

fof(f6596,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6595,f499]) ).

fof(f6597,plain,
    ( ~ spl0_11
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f6596]) ).

fof(f6639,plain,
    ( sk0_0 = sum(pred(sum(n13,n3)),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f761,f3754]) ).

fof(f6640,plain,
    ( sk0_0 = sum(pred(n16),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f322,f6639]) ).

fof(f6641,plain,
    ( sk0_0 = sum(n15,sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f41,f6640]) ).

fof(f6642,plain,
    ( sk0_0 = sum(n15,sum(n2,pred(sum(n13,n2))))
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f761,f6641]) ).

fof(f6643,plain,
    ( sk0_0 = sum(n15,sum(n2,pred(n15)))
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f321,f6642]) ).

fof(f6644,plain,
    ( sk0_0 = sum(n15,sum(n2,n14))
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f40,f6643]) ).

fof(f6645,plain,
    ( sk0_0 = sum(n15,n16)
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f102,f6644]) ).

fof(f6646,plain,
    ( sk0_0 = n10
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f377,f6645]) ).

fof(f6647,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6646,f500]) ).

fof(f6648,plain,
    ( ~ spl0_13
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f6647]) ).

fof(f6649,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n2))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f792,f489]) ).

fof(f6650,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n3)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f6,f6649]) ).

fof(f6651,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n3)),sum(n2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f792,f6650]) ).

fof(f6652,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n3)),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f792,f6651]) ).

fof(f6653,plain,
    ( sk0_0 = sum(pred(sum(n19,succ(n2))),sum(sk0_2,pred(sum(n19,sk0_2))))
    | ~ spl0_23
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f792,f6019]) ).

fof(f6654,plain,
    ( sk0_0 = sum(pred(sum(n19,n3)),sum(sk0_2,pred(sum(n19,sk0_2))))
    | ~ spl0_23
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f6,f6653]) ).

fof(f6655,plain,
    ( sk0_0 = sum(pred(n1),sum(sk0_2,pred(sum(n19,sk0_2))))
    | ~ spl0_23
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f448,f6654]) ).

fof(f6656,plain,
    ( sk0_0 = sum(n0,sum(sk0_2,pred(sum(n19,sk0_2))))
    | ~ spl0_23
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f26,f6655]) ).

fof(f6657,plain,
    ( sk0_0 = sum(n0,sum(n2,pred(sum(n19,sk0_2))))
    | ~ spl0_23
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f792,f6656]) ).

fof(f6658,plain,
    ( sk0_0 = sum(n0,sum(n2,pred(sum(n19,n2))))
    | ~ spl0_23
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f792,f6657]) ).

fof(f6659,plain,
    ( sk0_0 = sum(n0,sum(n2,pred(n0)))
    | ~ spl0_23
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f447,f6658]) ).

fof(f6660,plain,
    ( sk0_0 = sum(n0,sum(n2,n20))
    | ~ spl0_23
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f25,f6659]) ).

fof(f6661,plain,
    ( sk0_0 = sum(n0,n1)
    | ~ spl0_23
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f108,f6660]) ).

fof(f6662,plain,
    ( sk0_0 = n1
    | ~ spl0_23
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f47,f6661]) ).

fof(f6663,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6662,f491]) ).

fof(f6664,plain,
    ( ~ spl0_23
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f6663]) ).

fof(f6665,plain,
    ( sk0_0 = sum(pred(sum(n0,succ(n2))),sum(sk0_2,pred(sum(n0,sk0_2))))
    | ~ spl0_23
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f792,f5080]) ).

fof(f6666,plain,
    ( sk0_0 = sum(pred(sum(n0,n3)),sum(sk0_2,pred(sum(n0,sk0_2))))
    | ~ spl0_23
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f6,f6665]) ).

fof(f6667,plain,
    ( sk0_0 = sum(pred(n3),sum(sk0_2,pred(sum(n0,sk0_2))))
    | ~ spl0_23
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f49,f6666]) ).

fof(f6668,plain,
    ( sk0_0 = sum(n2,sum(sk0_2,pred(sum(n0,sk0_2))))
    | ~ spl0_23
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f28,f6667]) ).

fof(f6669,plain,
    ( sk0_0 = sum(n2,sum(n2,pred(sum(n0,sk0_2))))
    | ~ spl0_23
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f792,f6668]) ).

fof(f6670,plain,
    ( sk0_0 = sum(n2,sum(n2,pred(sum(n0,n2))))
    | ~ spl0_23
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f792,f6669]) ).

fof(f6671,plain,
    ( sk0_0 = sum(n2,sum(n2,pred(n2)))
    | ~ spl0_23
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f48,f6670]) ).

fof(f6672,plain,
    ( sk0_0 = sum(n2,sum(n2,n1))
    | ~ spl0_23
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f27,f6671]) ).

fof(f6673,plain,
    ( sk0_0 = sum(n2,n3)
    | ~ spl0_23
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f89,f6672]) ).

fof(f6674,plain,
    ( sk0_0 = n5
    | ~ spl0_23
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f91,f6673]) ).

fof(f6675,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6674,f495]) ).

fof(f6676,plain,
    ( ~ spl0_23
    | ~ spl0_0 ),
    inference(contradiction_clause,[status(thm)],[f6675]) ).

fof(f6677,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(backward_demodulation,[status(thm)],[f840,f489]) ).

fof(f6678,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n18))),sum(sk0_2,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f840,f6677]) ).

fof(f6679,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(sk0_2,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f22,f6678]) ).

fof(f6680,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f840,f6679]) ).

fof(f6720,plain,
    ( sk0_0 = sum(pred(sum(n16,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_16
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f770,f6680]) ).

fof(f6721,plain,
    ( sk0_0 = sum(pred(n14),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_16
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f401,f6720]) ).

fof(f6722,plain,
    ( sk0_0 = sum(n13,sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_16
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f39,f6721]) ).

fof(f6723,plain,
    ( sk0_0 = sum(n13,sum(n18,pred(sum(n16,n18))))
    | ~ spl0_16
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f770,f6722]) ).

fof(f6724,plain,
    ( sk0_0 = sum(n13,sum(n18,pred(n13)))
    | ~ spl0_16
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f400,f6723]) ).

fof(f6725,plain,
    ( sk0_0 = sum(n13,sum(n18,n12))
    | ~ spl0_16
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f38,f6724]) ).

fof(f6726,plain,
    ( sk0_0 = sum(n13,n9)
    | ~ spl0_16
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f436,f6725]) ).

fof(f6727,plain,
    ( sk0_0 = n1
    | ~ spl0_16
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f328,f6726]) ).

fof(f6728,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6727,f491]) ).

fof(f6729,plain,
    ( ~ spl0_16
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f6728]) ).

fof(f6732,plain,
    ( sk0_0 = sum(pred(sum(n16,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f770,f4681]) ).

fof(f6733,plain,
    ( sk0_0 = sum(pred(n1),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f388,f6732]) ).

fof(f6734,plain,
    ( sk0_0 = sum(n0,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f26,f6733]) ).

fof(f6735,plain,
    ( sk0_0 = sum(n0,sum(n5,pred(sum(n16,n5))))
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f770,f6734]) ).

fof(f6736,plain,
    ( sk0_0 = sum(n0,sum(n5,pred(n0)))
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f387,f6735]) ).

fof(f6737,plain,
    ( sk0_0 = sum(n0,sum(n5,n20))
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f25,f6736]) ).

fof(f6738,plain,
    ( sk0_0 = sum(n0,n4)
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f171,f6737]) ).

fof(f6739,plain,
    ( sk0_0 = n4
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f50,f6738]) ).

fof(f6740,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6739,f494]) ).

fof(f6741,plain,
    ( ~ spl0_16
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f6740]) ).

fof(f6742,plain,
    ( sk0_0 = sum(pred(sum(n16,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f770,f3998]) ).

fof(f6743,plain,
    ( sk0_0 = sum(pred(n20),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f386,f6742]) ).

fof(f6744,plain,
    ( sk0_0 = sum(n19,sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f45,f6743]) ).

fof(f6745,plain,
    ( sk0_0 = sum(n19,sum(n3,pred(sum(n16,n3))))
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f770,f6744]) ).

fof(f6746,plain,
    ( sk0_0 = sum(n19,sum(n3,pred(n19)))
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f385,f6745]) ).

fof(f6747,plain,
    ( sk0_0 = sum(n19,sum(n3,n18))
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f44,f6746]) ).

fof(f6748,plain,
    ( sk0_0 = sum(n19,n0)
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f127,f6747]) ).

fof(f6749,plain,
    ( sk0_0 = n19
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f445,f6748]) ).

fof(f6750,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6749,f509]) ).

fof(f6751,plain,
    ( ~ spl0_16
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f6750]) ).

fof(f6752,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f767,f489]) ).

fof(f6753,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(sk0_2))),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f767,f6752]) ).

fof(f6774,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(sk0_2))),sum(sk0_2,pred(sum(n15,n20))))
    | ~ spl0_41
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f846,f5182]) ).

fof(f6775,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(n20))),sum(sk0_2,pred(sum(n15,n20))))
    | ~ spl0_41
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f846,f6774]) ).

fof(f6776,plain,
    ( sk0_0 = sum(pred(sum(n15,n0)),sum(sk0_2,pred(sum(n15,n20))))
    | ~ spl0_41
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f24,f6775]) ).

fof(f6777,plain,
    ( sk0_0 = sum(pred(n15),sum(sk0_2,pred(sum(n15,n20))))
    | ~ spl0_41
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f361,f6776]) ).

fof(f6778,plain,
    ( sk0_0 = sum(n14,sum(sk0_2,pred(sum(n15,n20))))
    | ~ spl0_41
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f40,f6777]) ).

fof(f6779,plain,
    ( sk0_0 = sum(n14,sum(n20,pred(sum(n15,n20))))
    | ~ spl0_41
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f846,f6778]) ).

fof(f6780,plain,
    ( sk0_0 = sum(n14,sum(n20,pred(n14)))
    | ~ spl0_41
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f381,f6779]) ).

fof(f6781,plain,
    ( sk0_0 = sum(n14,sum(n20,n13))
    | ~ spl0_41
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f39,f6780]) ).

fof(f6782,plain,
    ( sk0_0 = sum(n14,n12)
    | ~ spl0_41
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f479,f6781]) ).

fof(f6783,plain,
    ( sk0_0 = n5
    | ~ spl0_41
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f352,f6782]) ).

fof(f6784,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6783,f495]) ).

fof(f6785,plain,
    ( ~ spl0_41
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f6784]) ).

fof(f6786,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n17,sk0_2))))
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f773,f489]) ).

fof(f6787,plain,
    ( sk0_0 = sum(pred(sum(n17,succ(sk0_2))),sum(sk0_2,pred(sum(n17,sk0_2))))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f773,f6786]) ).

fof(f6808,plain,
    ( sk0_0 = sum(pred(sum(n17,succ(sk0_2))),sum(sk0_2,pred(sum(n17,n2))))
    | ~ spl0_23
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f792,f5216]) ).

fof(f6809,plain,
    ( sk0_0 = sum(pred(sum(n17,succ(n2))),sum(sk0_2,pred(sum(n17,n2))))
    | ~ spl0_23
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f792,f6808]) ).

fof(f6810,plain,
    ( sk0_0 = sum(pred(sum(n17,n3)),sum(sk0_2,pred(sum(n17,n2))))
    | ~ spl0_23
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f6,f6809]) ).

fof(f6811,plain,
    ( sk0_0 = sum(pred(n20),sum(sk0_2,pred(sum(n17,n2))))
    | ~ spl0_23
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f406,f6810]) ).

fof(f6812,plain,
    ( sk0_0 = sum(n19,sum(sk0_2,pred(sum(n17,n2))))
    | ~ spl0_23
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f45,f6811]) ).

fof(f6813,plain,
    ( sk0_0 = sum(n19,sum(n2,pred(sum(n17,n2))))
    | ~ spl0_23
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f792,f6812]) ).

fof(f6814,plain,
    ( sk0_0 = sum(n19,sum(n2,pred(n19)))
    | ~ spl0_23
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f405,f6813]) ).

fof(f6815,plain,
    ( sk0_0 = sum(n19,sum(n2,n18))
    | ~ spl0_23
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f44,f6814]) ).

fof(f6816,plain,
    ( sk0_0 = sum(n19,n20)
    | ~ spl0_23
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f106,f6815]) ).

fof(f6817,plain,
    ( sk0_0 = n18
    | ~ spl0_23
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f465,f6816]) ).

fof(f6818,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6817,f508]) ).

fof(f6819,plain,
    ( ~ spl0_23
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f6818]) ).

fof(f6836,plain,
    ( sk0_0 = sum(pred(sum(n6,succ(n2))),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f792,f5286]) ).

fof(f6837,plain,
    ( sk0_0 = sum(pred(sum(n6,n3)),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f6,f6836]) ).

fof(f6838,plain,
    ( sk0_0 = sum(pred(n9),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f175,f6837]) ).

fof(f6839,plain,
    ( sk0_0 = sum(n8,sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f34,f6838]) ).

fof(f6840,plain,
    ( sk0_0 = sum(n8,sum(n2,pred(sum(n6,sk0_2))))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f792,f6839]) ).

fof(f6841,plain,
    ( sk0_0 = sum(n8,sum(n2,pred(sum(n6,n2))))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f792,f6840]) ).

fof(f6842,plain,
    ( sk0_0 = sum(n8,sum(n2,pred(n8)))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f174,f6841]) ).

fof(f6843,plain,
    ( sk0_0 = sum(n8,sum(n2,n7))
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f33,f6842]) ).

fof(f6844,plain,
    ( sk0_0 = sum(n8,n9)
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f95,f6843]) ).

fof(f6845,plain,
    ( sk0_0 = n17
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f223,f6844]) ).

fof(f6846,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6845,f507]) ).

fof(f6847,plain,
    ( ~ spl0_23
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f6846]) ).

fof(f6848,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n2))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f792,f489]) ).

fof(f6849,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n3)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f6,f6848]) ).

fof(f6850,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n3)),sum(n2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f792,f6849]) ).

fof(f6851,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n3)),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f792,f6850]) ).

fof(f6852,plain,
    ( sk0_0 = sum(pred(sum(n3,succ(n2))),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f792,f5386]) ).

fof(f6853,plain,
    ( sk0_0 = sum(pred(sum(n3,n3)),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f6,f6852]) ).

fof(f6854,plain,
    ( sk0_0 = sum(pred(n6),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f112,f6853]) ).

fof(f6855,plain,
    ( sk0_0 = sum(n5,sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f31,f6854]) ).

fof(f6856,plain,
    ( sk0_0 = sum(n5,sum(n2,pred(sum(n3,sk0_2))))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f792,f6855]) ).

fof(f6857,plain,
    ( sk0_0 = sum(n5,sum(n2,pred(sum(n3,n2))))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f792,f6856]) ).

fof(f6858,plain,
    ( sk0_0 = sum(n5,sum(n2,pred(n5)))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f111,f6857]) ).

fof(f6859,plain,
    ( sk0_0 = sum(n5,sum(n2,n4))
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f30,f6858]) ).

fof(f6860,plain,
    ( sk0_0 = sum(n5,n6)
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f92,f6859]) ).

fof(f6861,plain,
    ( sk0_0 = n11
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f157,f6860]) ).

fof(f6862,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6861,f501]) ).

fof(f6863,plain,
    ( ~ spl0_23
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f6862]) ).

fof(f6865,plain,
    ( sk0_0 = sum(pred(sum(n10,succ(n2))),sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_23
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f792,f5438]) ).

fof(f6866,plain,
    ( sk0_0 = sum(pred(sum(n10,n3)),sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_23
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f6,f6865]) ).

fof(f6867,plain,
    ( sk0_0 = sum(pred(n13),sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_23
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f259,f6866]) ).

fof(f6868,plain,
    ( sk0_0 = sum(n12,sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_23
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f38,f6867]) ).

fof(f6869,plain,
    ( sk0_0 = sum(n12,sum(n2,pred(sum(n10,sk0_2))))
    | ~ spl0_23
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f792,f6868]) ).

fof(f6870,plain,
    ( sk0_0 = sum(n12,sum(n2,pred(sum(n10,n2))))
    | ~ spl0_23
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f792,f6869]) ).

fof(f6871,plain,
    ( sk0_0 = sum(n12,sum(n2,pred(n12)))
    | ~ spl0_23
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f258,f6870]) ).

fof(f6872,plain,
    ( sk0_0 = sum(n12,sum(n2,n11))
    | ~ spl0_23
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f37,f6871]) ).

fof(f6873,plain,
    ( sk0_0 = sum(n12,n13)
    | ~ spl0_23
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f99,f6872]) ).

fof(f6874,plain,
    ( sk0_0 = n4
    | ~ spl0_23
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f311,f6873]) ).

fof(f6875,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6874,f494]) ).

fof(f6876,plain,
    ( ~ spl0_23
    | ~ spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f6875]) ).

fof(f6877,plain,
    ( sk0_0 = sum(pred(sum(n7,succ(n2))),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_23
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f792,f5540]) ).

fof(f6878,plain,
    ( sk0_0 = sum(pred(sum(n7,n3)),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_23
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f6,f6877]) ).

fof(f6879,plain,
    ( sk0_0 = sum(pred(n10),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_23
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f196,f6878]) ).

fof(f6880,plain,
    ( sk0_0 = sum(n9,sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_23
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f35,f6879]) ).

fof(f6881,plain,
    ( sk0_0 = sum(n9,sum(n2,pred(sum(n7,sk0_2))))
    | ~ spl0_23
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f792,f6880]) ).

fof(f6882,plain,
    ( sk0_0 = sum(n9,sum(n2,pred(sum(n7,n2))))
    | ~ spl0_23
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f792,f6881]) ).

fof(f6883,plain,
    ( sk0_0 = sum(n9,sum(n2,pred(n9)))
    | ~ spl0_23
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f195,f6882]) ).

fof(f6884,plain,
    ( sk0_0 = sum(n9,sum(n2,n8))
    | ~ spl0_23
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f34,f6883]) ).

fof(f6885,plain,
    ( sk0_0 = sum(n9,n10)
    | ~ spl0_23
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f96,f6884]) ).

fof(f6886,plain,
    ( sk0_0 = n19
    | ~ spl0_23
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f245,f6885]) ).

fof(f6887,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6886,f509]) ).

fof(f6888,plain,
    ( ~ spl0_23
    | ~ spl0_7 ),
    inference(contradiction_clause,[status(thm)],[f6887]) ).

fof(f6930,plain,
    ( sk0_0 = sum(pred(sum(n1,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_1
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f725,f2751]) ).

fof(f6931,plain,
    ( sk0_0 = sum(pred(n17),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_1
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f83,f6930]) ).

fof(f6932,plain,
    ( sk0_0 = sum(n16,sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_1
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f42,f6931]) ).

fof(f6933,plain,
    ( sk0_0 = sum(n16,sum(n15,pred(sum(n1,n15))))
    | ~ spl0_1
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f725,f6932]) ).

fof(f6934,plain,
    ( sk0_0 = sum(n16,sum(n15,pred(n16)))
    | ~ spl0_1
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f82,f6933]) ).

fof(f6935,plain,
    ( sk0_0 = sum(n16,sum(n15,n15))
    | ~ spl0_1
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f41,f6934]) ).

fof(f6936,plain,
    ( sk0_0 = sum(n16,n9)
    | ~ spl0_1
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f376,f6935]) ).

fof(f6937,plain,
    ( sk0_0 = n4
    | ~ spl0_1
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f391,f6936]) ).

fof(f6938,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6937,f494]) ).

fof(f6939,plain,
    ( ~ spl0_1
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f6938]) ).

fof(f6981,plain,
    ( sk0_0 = sum(pred(sum(n2,n17)),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_2
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f728,f2269]) ).

fof(f6982,plain,
    ( sk0_0 = sum(pred(n19),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_2
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f105,f6981]) ).

fof(f6983,plain,
    ( sk0_0 = sum(n18,sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_2
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f44,f6982]) ).

fof(f6984,plain,
    ( sk0_0 = sum(n18,sum(n16,pred(sum(n2,n16))))
    | ~ spl0_2
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f728,f6983]) ).

fof(f6985,plain,
    ( sk0_0 = sum(n18,sum(n16,pred(n18)))
    | ~ spl0_2
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f104,f6984]) ).

fof(f6986,plain,
    ( sk0_0 = sum(n18,sum(n16,n17))
    | ~ spl0_2
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f43,f6985]) ).

fof(f6987,plain,
    ( sk0_0 = sum(n18,n12)
    | ~ spl0_2
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f399,f6986]) ).

fof(f6988,plain,
    ( sk0_0 = n9
    | ~ spl0_2
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f436,f6987]) ).

fof(f6989,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6988,f499]) ).

fof(f6990,plain,
    ( ~ spl0_2
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f6989]) ).

fof(f6991,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(backward_demodulation,[status(thm)],[f822,f489]) ).

fof(f6992,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n12))),sum(sk0_2,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f822,f6991]) ).

fof(f6993,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n13)),sum(sk0_2,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f16,f6992]) ).

fof(f6994,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f822,f6993]) ).

fof(f7033,plain,
    ( sk0_0 = sum(pred(sum(n12,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f758,f3681]) ).

fof(f7034,plain,
    ( sk0_0 = sum(pred(n4),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f311,f7033]) ).

fof(f7035,plain,
    ( sk0_0 = sum(n3,sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f29,f7034]) ).

fof(f7036,plain,
    ( sk0_0 = sum(n3,sum(n12,pred(sum(n12,n12))))
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f758,f7035]) ).

fof(f7037,plain,
    ( sk0_0 = sum(n3,sum(n12,pred(n3)))
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f310,f7036]) ).

fof(f7038,plain,
    ( sk0_0 = sum(n3,sum(n12,n2))
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f28,f7037]) ).

fof(f7039,plain,
    ( sk0_0 = sum(n3,n14)
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f300,f7038]) ).

fof(f7040,plain,
    ( sk0_0 = n17
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f123,f7039]) ).

fof(f7041,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7040,f507]) ).

fof(f7042,plain,
    ( ~ spl0_12
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f7041]) ).

fof(f7043,plain,
    ( sk0_0 = sum(pred(sum(n12,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_12
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f758,f3627]) ).

fof(f7044,plain,
    ( sk0_0 = sum(pred(n5),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_12
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f312,f7043]) ).

fof(f7045,plain,
    ( sk0_0 = sum(n4,sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_12
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f30,f7044]) ).

fof(f7046,plain,
    ( sk0_0 = sum(n4,sum(n13,pred(sum(n12,n13))))
    | ~ spl0_12
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f758,f7045]) ).

fof(f7047,plain,
    ( sk0_0 = sum(n4,sum(n13,pred(n4)))
    | ~ spl0_12
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f311,f7046]) ).

fof(f7048,plain,
    ( sk0_0 = sum(n4,sum(n13,n3))
    | ~ spl0_12
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f29,f7047]) ).

fof(f7049,plain,
    ( sk0_0 = sum(n4,n16)
    | ~ spl0_12
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f322,f7048]) ).

fof(f7050,plain,
    ( sk0_0 = n20
    | ~ spl0_12
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f146,f7049]) ).

fof(f7051,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7050,f510]) ).

fof(f7052,plain,
    ( ~ spl0_12
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f7051]) ).

fof(f7055,plain,
    ( sk0_0 = sum(pred(sum(n12,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f758,f3518]) ).

fof(f7056,plain,
    ( sk0_0 = sum(pred(n6),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f313,f7055]) ).

fof(f7057,plain,
    ( sk0_0 = sum(n5,sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f31,f7056]) ).

fof(f7058,plain,
    ( sk0_0 = sum(n5,sum(n14,pred(sum(n12,n14))))
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f758,f7057]) ).

fof(f7059,plain,
    ( sk0_0 = sum(n5,sum(n14,pred(n5)))
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f312,f7058]) ).

fof(f7060,plain,
    ( sk0_0 = sum(n5,sum(n14,n4))
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f30,f7059]) ).

fof(f7061,plain,
    ( sk0_0 = sum(n5,n18)
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f344,f7060]) ).

fof(f7062,plain,
    ( sk0_0 = n2
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f169,f7061]) ).

fof(f7063,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7062,f492]) ).

fof(f7064,plain,
    ( ~ spl0_12
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f7063]) ).

fof(f7065,plain,
    ( sk0_0 = sum(pred(sum(n12,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_12
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f758,f3411]) ).

fof(f7066,plain,
    ( sk0_0 = sum(pred(n3),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_12
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f310,f7065]) ).

fof(f7067,plain,
    ( sk0_0 = sum(n2,sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_12
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f28,f7066]) ).

fof(f7068,plain,
    ( sk0_0 = sum(n2,sum(n11,pred(sum(n12,n11))))
    | ~ spl0_12
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f758,f7067]) ).

fof(f7069,plain,
    ( sk0_0 = sum(n2,sum(n11,pred(n2)))
    | ~ spl0_12
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f309,f7068]) ).

fof(f7070,plain,
    ( sk0_0 = sum(n2,sum(n11,n1))
    | ~ spl0_12
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f27,f7069]) ).

fof(f7071,plain,
    ( sk0_0 = sum(n2,n12)
    | ~ spl0_12
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f278,f7070]) ).

fof(f7072,plain,
    ( sk0_0 = n14
    | ~ spl0_12
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f100,f7071]) ).

fof(f7073,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7072,f504]) ).

fof(f7074,plain,
    ( ~ spl0_12
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f7073]) ).

fof(f7075,plain,
    ( sk0_0 = sum(pred(sum(n12,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f758,f3289]) ).

fof(f7076,plain,
    ( sk0_0 = sum(pred(n1),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f308,f7075]) ).

fof(f7077,plain,
    ( sk0_0 = sum(n0,sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f26,f7076]) ).

fof(f7078,plain,
    ( sk0_0 = sum(n0,sum(n9,pred(sum(n12,n9))))
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f758,f7077]) ).

fof(f7079,plain,
    ( sk0_0 = sum(n0,sum(n9,pred(n0)))
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f307,f7078]) ).

fof(f7080,plain,
    ( sk0_0 = sum(n0,sum(n9,n20))
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f25,f7079]) ).

fof(f7081,plain,
    ( sk0_0 = sum(n0,n8)
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f255,f7080]) ).

fof(f7082,plain,
    ( sk0_0 = n8
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f54,f7081]) ).

fof(f7083,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7082,f498]) ).

fof(f7084,plain,
    ( ~ spl0_12
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f7083]) ).

fof(f7085,plain,
    ( sk0_0 = sum(pred(sum(n12,succ(sk0_2))),sum(sk0_2,pred(sum(n12,n7))))
    | ~ spl0_28
    | ~ spl0_12 ),
    inference(backward_demodulation,[status(thm)],[f807,f2715]) ).

fof(f7086,plain,
    ( sk0_0 = sum(pred(sum(n12,succ(n7))),sum(sk0_2,pred(sum(n12,n7))))
    | ~ spl0_28
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f807,f7085]) ).

fof(f7087,plain,
    ( sk0_0 = sum(pred(sum(n12,n8)),sum(sk0_2,pred(sum(n12,n7))))
    | ~ spl0_28
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f11,f7086]) ).

fof(f7088,plain,
    ( sk0_0 = sum(pred(n20),sum(sk0_2,pred(sum(n12,n7))))
    | ~ spl0_28
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f306,f7087]) ).

fof(f7089,plain,
    ( sk0_0 = sum(n19,sum(sk0_2,pred(sum(n12,n7))))
    | ~ spl0_28
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f45,f7088]) ).

fof(f7090,plain,
    ( sk0_0 = sum(n19,sum(n7,pred(sum(n12,n7))))
    | ~ spl0_28
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f807,f7089]) ).

fof(f7091,plain,
    ( sk0_0 = sum(n19,sum(n7,pred(n19)))
    | ~ spl0_28
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f305,f7090]) ).

fof(f7092,plain,
    ( sk0_0 = sum(n19,sum(n7,n18))
    | ~ spl0_28
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f44,f7091]) ).

fof(f7093,plain,
    ( sk0_0 = sum(n19,n4)
    | ~ spl0_28
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f211,f7092]) ).

fof(f7094,plain,
    ( sk0_0 = n2
    | ~ spl0_28
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f449,f7093]) ).

fof(f7095,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7094,f492]) ).

fof(f7096,plain,
    ( ~ spl0_28
    | ~ spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f7095]) ).

fof(f7097,plain,
    ( sk0_0 = sum(pred(sum(n12,n17)),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_12
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f758,f2935]) ).

fof(f7098,plain,
    ( sk0_0 = sum(pred(n8),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_12
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f315,f7097]) ).

fof(f7099,plain,
    ( sk0_0 = sum(n7,sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_12
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f33,f7098]) ).

fof(f7100,plain,
    ( sk0_0 = sum(n7,sum(n16,pred(sum(n12,n16))))
    | ~ spl0_12
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f758,f7099]) ).

fof(f7101,plain,
    ( sk0_0 = sum(n7,sum(n16,pred(n7)))
    | ~ spl0_12
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f314,f7100]) ).

fof(f7102,plain,
    ( sk0_0 = sum(n7,sum(n16,n6))
    | ~ spl0_12
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f32,f7101]) ).

fof(f7103,plain,
    ( sk0_0 = sum(n7,n1)
    | ~ spl0_12
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f388,f7102]) ).

fof(f7104,plain,
    ( sk0_0 = n8
    | ~ spl0_12
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f194,f7103]) ).

fof(f7105,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7104,f498]) ).

fof(f7106,plain,
    ( ~ spl0_12
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f7105]) ).

fof(f7107,plain,
    ( sk0_0 = sum(pred(sum(n12,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_12
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f758,f3982]) ).

fof(f7108,plain,
    ( sk0_0 = sum(pred(n9),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_12
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f316,f7107]) ).

fof(f7109,plain,
    ( sk0_0 = sum(n8,sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_12
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f34,f7108]) ).

fof(f7110,plain,
    ( sk0_0 = sum(n8,sum(n17,pred(sum(n12,n17))))
    | ~ spl0_12
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f758,f7109]) ).

fof(f7111,plain,
    ( sk0_0 = sum(n8,sum(n17,pred(n8)))
    | ~ spl0_12
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f315,f7110]) ).

fof(f7112,plain,
    ( sk0_0 = sum(n8,sum(n17,n7))
    | ~ spl0_12
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f33,f7111]) ).

fof(f7113,plain,
    ( sk0_0 = sum(n8,n3)
    | ~ spl0_12
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f410,f7112]) ).

fof(f7114,plain,
    ( sk0_0 = n11
    | ~ spl0_12
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f217,f7113]) ).

fof(f7115,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7114,f501]) ).

fof(f7116,plain,
    ( ~ spl0_12
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f7115]) ).

fof(f7158,plain,
    ( sk0_0 = sum(pred(sum(n11,n7)),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f755,f3236]) ).

fof(f7159,plain,
    ( sk0_0 = sum(pred(n18),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f284,f7158]) ).

fof(f7160,plain,
    ( sk0_0 = sum(n17,sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f43,f7159]) ).

fof(f7161,plain,
    ( sk0_0 = sum(n17,sum(n6,pred(sum(n11,n6))))
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f755,f7160]) ).

fof(f7162,plain,
    ( sk0_0 = sum(n17,sum(n6,pred(n17)))
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f283,f7161]) ).

fof(f7163,plain,
    ( sk0_0 = sum(n17,sum(n6,n16))
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f42,f7162]) ).

fof(f7164,plain,
    ( sk0_0 = sum(n17,n1)
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f188,f7163]) ).

fof(f7165,plain,
    ( sk0_0 = n18
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f404,f7164]) ).

fof(f7166,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7165,f508]) ).

fof(f7167,plain,
    ( ~ spl0_11
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f7166]) ).

fof(f7168,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f816,f489]) ).

fof(f7169,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n10))),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f816,f7168]) ).

fof(f7170,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n11)),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f14,f7169]) ).

fof(f7171,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f816,f7170]) ).

fof(f7211,plain,
    ( sk0_0 = sum(pred(sum(n13,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f761,f4483]) ).

fof(f7212,plain,
    ( sk0_0 = sum(pred(n3),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f330,f7211]) ).

fof(f7213,plain,
    ( sk0_0 = sum(n2,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f28,f7212]) ).

fof(f7214,plain,
    ( sk0_0 = sum(n2,sum(n10,pred(sum(n13,n10))))
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f761,f7213]) ).

fof(f7215,plain,
    ( sk0_0 = sum(n2,sum(n10,pred(n2)))
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f329,f7214]) ).

fof(f7216,plain,
    ( sk0_0 = sum(n2,sum(n10,n1))
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f27,f7215]) ).

fof(f7217,plain,
    ( sk0_0 = sum(n2,n11)
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f257,f7216]) ).

fof(f7218,plain,
    ( sk0_0 = n13
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f99,f7217]) ).

fof(f7219,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7218,f503]) ).

fof(f7220,plain,
    ( ~ spl0_13
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f7219]) ).

fof(f7221,plain,
    ( sk0_0 = sum(pred(sum(n13,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_13
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f761,f4447]) ).

fof(f7222,plain,
    ( sk0_0 = sum(pred(n1),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_13
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f328,f7221]) ).

fof(f7223,plain,
    ( sk0_0 = sum(n0,sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_13
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f26,f7222]) ).

fof(f7224,plain,
    ( sk0_0 = sum(n0,sum(n8,pred(sum(n13,n8))))
    | ~ spl0_13
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f761,f7223]) ).

fof(f7225,plain,
    ( sk0_0 = sum(n0,sum(n8,pred(n0)))
    | ~ spl0_13
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f327,f7224]) ).

fof(f7226,plain,
    ( sk0_0 = sum(n0,sum(n8,n20))
    | ~ spl0_13
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f25,f7225]) ).

fof(f7227,plain,
    ( sk0_0 = sum(n0,n7)
    | ~ spl0_13
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f234,f7226]) ).

fof(f7228,plain,
    ( sk0_0 = n7
    | ~ spl0_13
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f53,f7227]) ).

fof(f7229,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7228,f497]) ).

fof(f7230,plain,
    ( ~ spl0_13
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f7229]) ).

fof(f7233,plain,
    ( sk0_0 = sum(pred(sum(n13,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f761,f4645]) ).

fof(f7234,plain,
    ( sk0_0 = sum(pred(n15),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f321,f7233]) ).

fof(f7235,plain,
    ( sk0_0 = sum(n14,sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f40,f7234]) ).

fof(f7236,plain,
    ( sk0_0 = sum(n14,sum(n1,pred(sum(n13,n1))))
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f761,f7235]) ).

fof(f7237,plain,
    ( sk0_0 = sum(n14,sum(n1,pred(n14)))
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f320,f7236]) ).

fof(f7238,plain,
    ( sk0_0 = sum(n14,sum(n1,n13))
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f39,f7237]) ).

fof(f7239,plain,
    ( sk0_0 = sum(n14,n14)
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f80,f7238]) ).

fof(f7240,plain,
    ( sk0_0 = n7
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f354,f7239]) ).

fof(f7241,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7240,f497]) ).

fof(f7242,plain,
    ( ~ spl0_13
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f7241]) ).

fof(f7243,plain,
    ( sk0_0 = sum(pred(sum(n13,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f761,f4844]) ).

fof(f7244,plain,
    ( sk0_0 = sum(pred(n18),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f324,f7243]) ).

fof(f7245,plain,
    ( sk0_0 = sum(n17,sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f43,f7244]) ).

fof(f7246,plain,
    ( sk0_0 = sum(n17,sum(n4,pred(sum(n13,n4))))
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f761,f7245]) ).

fof(f7247,plain,
    ( sk0_0 = sum(n17,sum(n4,pred(n17)))
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f323,f7246]) ).

fof(f7248,plain,
    ( sk0_0 = sum(n17,sum(n4,n16))
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f42,f7247]) ).

fof(f7249,plain,
    ( sk0_0 = sum(n17,n20)
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f146,f7248]) ).

fof(f7250,plain,
    ( sk0_0 = n16
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f423,f7249]) ).

fof(f7251,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7250,f506]) ).

fof(f7252,plain,
    ( ~ spl0_13
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f7251]) ).

fof(f7253,plain,
    ( sk0_0 = sum(pred(sum(n13,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f761,f3572]) ).

fof(f7254,plain,
    ( sk0_0 = sum(pred(n14),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f320,f7253]) ).

fof(f7255,plain,
    ( sk0_0 = sum(n13,sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f39,f7254]) ).

fof(f7256,plain,
    ( sk0_0 = sum(n13,sum(n0,pred(sum(n13,n0))))
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f761,f7255]) ).

fof(f7257,plain,
    ( sk0_0 = sum(n13,sum(n0,pred(n13)))
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f319,f7256]) ).

fof(f7258,plain,
    ( sk0_0 = sum(n13,sum(n0,n12))
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f38,f7257]) ).

fof(f7259,plain,
    ( sk0_0 = sum(n13,n12)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f58,f7258]) ).

fof(f7260,plain,
    ( sk0_0 = n4
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f331,f7259]) ).

fof(f7261,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7260,f494]) ).

fof(f7262,plain,
    ( ~ spl0_13
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f7261]) ).

fof(f7263,plain,
    ( sk0_0 = sum(pred(sum(n13,n7)),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f761,f3236]) ).

fof(f7264,plain,
    ( sk0_0 = sum(pred(n20),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f326,f7263]) ).

fof(f7265,plain,
    ( sk0_0 = sum(n19,sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f45,f7264]) ).

fof(f7266,plain,
    ( sk0_0 = sum(n19,sum(n6,pred(sum(n13,n6))))
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f761,f7265]) ).

fof(f7267,plain,
    ( sk0_0 = sum(n19,sum(n6,pred(n19)))
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f325,f7266]) ).

fof(f7268,plain,
    ( sk0_0 = sum(n19,sum(n6,n18))
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f44,f7267]) ).

fof(f7269,plain,
    ( sk0_0 = sum(n19,n3)
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f190,f7268]) ).

fof(f7270,plain,
    ( sk0_0 = n1
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f448,f7269]) ).

fof(f7271,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7270,f491]) ).

fof(f7272,plain,
    ( ~ spl0_13
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f7271]) ).

fof(f7273,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n0,sk0_2))))
    | ~ spl0_0 ),
    inference(backward_demodulation,[status(thm)],[f722,f489]) ).

fof(f7274,plain,
    ( sk0_0 = sum(pred(sum(n0,succ(sk0_2))),sum(sk0_2,pred(sum(n0,sk0_2))))
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f722,f7273]) ).

fof(f7295,plain,
    ( sk0_0 = sum(pred(sum(n0,succ(sk0_2))),sum(sk0_2,pred(sum(n0,n3))))
    | ~ spl0_24
    | ~ spl0_0 ),
    inference(backward_demodulation,[status(thm)],[f795,f5080]) ).

fof(f7296,plain,
    ( sk0_0 = sum(pred(sum(n0,succ(n3))),sum(sk0_2,pred(sum(n0,n3))))
    | ~ spl0_24
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f795,f7295]) ).

fof(f7297,plain,
    ( sk0_0 = sum(pred(sum(n0,n4)),sum(sk0_2,pred(sum(n0,n3))))
    | ~ spl0_24
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f7,f7296]) ).

fof(f7298,plain,
    ( sk0_0 = sum(pred(n4),sum(sk0_2,pred(sum(n0,n3))))
    | ~ spl0_24
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f50,f7297]) ).

fof(f7299,plain,
    ( sk0_0 = sum(n3,sum(sk0_2,pred(sum(n0,n3))))
    | ~ spl0_24
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f29,f7298]) ).

fof(f7300,plain,
    ( sk0_0 = sum(n3,sum(n3,pred(sum(n0,n3))))
    | ~ spl0_24
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f795,f7299]) ).

fof(f7301,plain,
    ( sk0_0 = sum(n3,sum(n3,pred(n3)))
    | ~ spl0_24
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f49,f7300]) ).

fof(f7302,plain,
    ( sk0_0 = sum(n3,sum(n3,n2))
    | ~ spl0_24
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f28,f7301]) ).

fof(f7303,plain,
    ( sk0_0 = sum(n3,n5)
    | ~ spl0_24
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f111,f7302]) ).

fof(f7304,plain,
    ( sk0_0 = n8
    | ~ spl0_24
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f114,f7303]) ).

fof(f7305,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7304,f498]) ).

fof(f7306,plain,
    ( ~ spl0_24
    | ~ spl0_0 ),
    inference(contradiction_clause,[status(thm)],[f7305]) ).

fof(f7346,plain,
    ( sk0_0 = sum(pred(sum(n13,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_13
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f761,f6680]) ).

fof(f7347,plain,
    ( sk0_0 = sum(pred(n11),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_13
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f338,f7346]) ).

fof(f7348,plain,
    ( sk0_0 = sum(n10,sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_13
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f36,f7347]) ).

fof(f7349,plain,
    ( sk0_0 = sum(n10,sum(n18,pred(sum(n13,n18))))
    | ~ spl0_13
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f761,f7348]) ).

fof(f7350,plain,
    ( sk0_0 = sum(n10,sum(n18,pred(n10)))
    | ~ spl0_13
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f337,f7349]) ).

fof(f7351,plain,
    ( sk0_0 = sum(n10,sum(n18,n9))
    | ~ spl0_13
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f35,f7350]) ).

fof(f7352,plain,
    ( sk0_0 = sum(n10,n6)
    | ~ spl0_13
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f433,f7351]) ).

fof(f7353,plain,
    ( sk0_0 = n16
    | ~ spl0_13
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f262,f7352]) ).

fof(f7354,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7353,f506]) ).

fof(f7355,plain,
    ( ~ spl0_13
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f7354]) ).

fof(f7356,plain,
    ( sk0_0 = sum(pred(sum(n13,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_13
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f761,f5968]) ).

fof(f7357,plain,
    ( sk0_0 = sum(pred(n19),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_13
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f325,f7356]) ).

fof(f7358,plain,
    ( sk0_0 = sum(n18,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_13
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f44,f7357]) ).

fof(f7359,plain,
    ( sk0_0 = sum(n18,sum(n5,pred(sum(n13,n5))))
    | ~ spl0_13
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f761,f7358]) ).

fof(f7360,plain,
    ( sk0_0 = sum(n18,sum(n5,pred(n18)))
    | ~ spl0_13
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f324,f7359]) ).

fof(f7361,plain,
    ( sk0_0 = sum(n18,sum(n5,n17))
    | ~ spl0_13
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f43,f7360]) ).

fof(f7362,plain,
    ( sk0_0 = sum(n18,n1)
    | ~ spl0_13
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f168,f7361]) ).

fof(f7363,plain,
    ( sk0_0 = n19
    | ~ spl0_13
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f425,f7362]) ).

fof(f7364,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7363,f509]) ).

fof(f7365,plain,
    ( ~ spl0_13
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f7364]) ).

fof(f7366,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f767,f489]) ).

fof(f7367,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(sk0_2))),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f767,f7366]) ).

fof(f7407,plain,
    ( sk0_0 = sum(pred(sum(n15,n3)),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f767,f4792]) ).

fof(f7408,plain,
    ( sk0_0 = sum(pred(n18),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f364,f7407]) ).

fof(f7409,plain,
    ( sk0_0 = sum(n17,sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f43,f7408]) ).

fof(f7410,plain,
    ( sk0_0 = sum(n17,sum(n2,pred(sum(n15,n2))))
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f767,f7409]) ).

fof(f7411,plain,
    ( sk0_0 = sum(n17,sum(n2,pred(n17)))
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f363,f7410]) ).

fof(f7412,plain,
    ( sk0_0 = sum(n17,sum(n2,n16))
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f42,f7411]) ).

fof(f7413,plain,
    ( sk0_0 = sum(n17,n18)
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f104,f7412]) ).

fof(f7414,plain,
    ( sk0_0 = n14
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f421,f7413]) ).

fof(f7415,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7414,f504]) ).

fof(f7416,plain,
    ( ~ spl0_15
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f7415]) ).

fof(f7479,plain,
    ( sk0_0 = sum(pred(sum(n17,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_17
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f773,f4999]) ).

fof(f7480,plain,
    ( sk0_0 = sum(pred(n0),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_17
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f407,f7479]) ).

fof(f7481,plain,
    ( sk0_0 = sum(n20,sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_17
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f25,f7480]) ).

fof(f7482,plain,
    ( sk0_0 = sum(n20,sum(n3,pred(sum(n17,n3))))
    | ~ spl0_17
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f773,f7481]) ).

fof(f7483,plain,
    ( sk0_0 = sum(n20,sum(n3,pred(n20)))
    | ~ spl0_17
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f406,f7482]) ).

fof(f7484,plain,
    ( sk0_0 = sum(n20,sum(n3,n19))
    | ~ spl0_17
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f45,f7483]) ).

fof(f7485,plain,
    ( sk0_0 = sum(n20,n1)
    | ~ spl0_17
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f128,f7484]) ).

fof(f7486,plain,
    ( sk0_0 = n0
    | ~ spl0_17
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f467,f7485]) ).

fof(f7487,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7486,f490]) ).

fof(f7488,plain,
    ( ~ spl0_17
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f7487]) ).

fof(f7548,plain,
    ( sk0_0 = sum(pred(sum(n3,succ(n20))),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_41
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f846,f6230]) ).

fof(f7549,plain,
    ( sk0_0 = sum(pred(sum(n3,n0)),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_41
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f24,f7548]) ).

fof(f7550,plain,
    ( sk0_0 = sum(pred(n3),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_41
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f109,f7549]) ).

fof(f7551,plain,
    ( sk0_0 = sum(n2,sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_41
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f28,f7550]) ).

fof(f7552,plain,
    ( sk0_0 = sum(n2,sum(n20,pred(sum(n3,sk0_2))))
    | ~ spl0_41
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f846,f7551]) ).

fof(f7553,plain,
    ( sk0_0 = sum(n2,sum(n20,pred(sum(n3,n20))))
    | ~ spl0_41
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f846,f7552]) ).

fof(f7554,plain,
    ( sk0_0 = sum(n2,sum(n20,pred(n2)))
    | ~ spl0_41
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f129,f7553]) ).

fof(f7555,plain,
    ( sk0_0 = sum(n2,sum(n20,n1))
    | ~ spl0_41
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f27,f7554]) ).

fof(f7556,plain,
    ( sk0_0 = sum(n2,n0)
    | ~ spl0_41
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f467,f7555]) ).

fof(f7557,plain,
    ( sk0_0 = n2
    | ~ spl0_41
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f88,f7556]) ).

fof(f7558,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7557,f492]) ).

fof(f7559,plain,
    ( ~ spl0_41
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f7558]) ).

fof(f7560,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n20))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f846,f489]) ).

fof(f7561,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n0)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f24,f7560]) ).

fof(f7562,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n0)),sum(n20,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f846,f7561]) ).

fof(f7563,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f846,f7562]) ).

fof(f7565,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n0)),sum(n20,pred(sum(n5,n20))))
    | ~ spl0_5
    | ~ spl0_41 ),
    inference(backward_demodulation,[status(thm)],[f737,f6033]) ).

fof(f7566,plain,
    ( sk0_0 = sum(pred(sum(n5,n0)),sum(n20,pred(sum(n5,n20))))
    | ~ spl0_5
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f737,f7565]) ).

fof(f7567,plain,
    ( sk0_0 = sum(pred(n5),sum(n20,pred(sum(n5,n20))))
    | ~ spl0_5
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f151,f7566]) ).

fof(f7568,plain,
    ( sk0_0 = sum(n4,sum(n20,pred(sum(n5,n20))))
    | ~ spl0_5
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f30,f7567]) ).

fof(f7569,plain,
    ( sk0_0 = sum(n4,sum(n20,pred(n4)))
    | ~ spl0_5
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f171,f7568]) ).

fof(f7570,plain,
    ( sk0_0 = sum(n4,sum(n20,n3))
    | ~ spl0_5
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f29,f7569]) ).

fof(f7571,plain,
    ( sk0_0 = sum(n4,n2)
    | ~ spl0_5
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f469,f7570]) ).

fof(f7572,plain,
    ( sk0_0 = n6
    | ~ spl0_5
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f132,f7571]) ).

fof(f7573,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7572,f496]) ).

fof(f7574,plain,
    ( ~ spl0_5
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f7573]) ).

fof(f7575,plain,
    ( sk0_0 = sum(pred(sum(n10,succ(n20))),sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_41
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f846,f6283]) ).

fof(f7576,plain,
    ( sk0_0 = sum(pred(sum(n10,n0)),sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_41
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f24,f7575]) ).

fof(f7577,plain,
    ( sk0_0 = sum(pred(n10),sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_41
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f256,f7576]) ).

fof(f7578,plain,
    ( sk0_0 = sum(n9,sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_41
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f35,f7577]) ).

fof(f7579,plain,
    ( sk0_0 = sum(n9,sum(n20,pred(sum(n10,sk0_2))))
    | ~ spl0_41
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f846,f7578]) ).

fof(f7580,plain,
    ( sk0_0 = sum(n9,sum(n20,pred(sum(n10,n20))))
    | ~ spl0_41
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f846,f7579]) ).

fof(f7581,plain,
    ( sk0_0 = sum(n9,sum(n20,pred(n9)))
    | ~ spl0_41
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f276,f7580]) ).

fof(f7582,plain,
    ( sk0_0 = sum(n9,sum(n20,n8))
    | ~ spl0_41
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f34,f7581]) ).

fof(f7583,plain,
    ( sk0_0 = sum(n9,n7)
    | ~ spl0_41
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f474,f7582]) ).

fof(f7584,plain,
    ( sk0_0 = n16
    | ~ spl0_41
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f242,f7583]) ).

fof(f7585,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7584,f506]) ).

fof(f7586,plain,
    ( ~ spl0_41
    | ~ spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f7585]) ).

fof(f7628,plain,
    ( sk0_0 = sum(pred(sum(n7,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f743,f3998]) ).

fof(f7629,plain,
    ( sk0_0 = sum(pred(n11),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f197,f7628]) ).

fof(f7630,plain,
    ( sk0_0 = sum(n10,sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f36,f7629]) ).

fof(f7631,plain,
    ( sk0_0 = sum(n10,sum(n3,pred(sum(n7,n3))))
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f743,f7630]) ).

fof(f7632,plain,
    ( sk0_0 = sum(n10,sum(n3,pred(n10)))
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f196,f7631]) ).

fof(f7633,plain,
    ( sk0_0 = sum(n10,sum(n3,n9))
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f35,f7632]) ).

fof(f7634,plain,
    ( sk0_0 = sum(n10,n12)
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f118,f7633]) ).

fof(f7635,plain,
    ( sk0_0 = n1
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f268,f7634]) ).

fof(f7636,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7635,f491]) ).

fof(f7637,plain,
    ( ~ spl0_7
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f7636]) ).

fof(f7680,plain,
    ( sk0_0 = sum(pred(sum(n1,n20)),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f725,f4053]) ).

fof(f7681,plain,
    ( sk0_0 = sum(pred(n0),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f87,f7680]) ).

fof(f7682,plain,
    ( sk0_0 = sum(n20,sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f25,f7681]) ).

fof(f7683,plain,
    ( sk0_0 = sum(n20,sum(n19,pred(sum(n1,n19))))
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f725,f7682]) ).

fof(f7684,plain,
    ( sk0_0 = sum(n20,sum(n19,pred(n20)))
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f86,f7683]) ).

fof(f7685,plain,
    ( sk0_0 = sum(n20,sum(n19,n19))
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f45,f7684]) ).

fof(f7686,plain,
    ( sk0_0 = sum(n20,n17)
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f464,f7685]) ).

fof(f7687,plain,
    ( sk0_0 = n16
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f483,f7686]) ).

fof(f7688,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7687,f506]) ).

fof(f7689,plain,
    ( ~ spl0_1
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f7688]) ).

fof(f7708,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(backward_demodulation,[status(thm)],[f825,f489]) ).

fof(f7709,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n13))),sum(sk0_2,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f825,f7708]) ).

fof(f7710,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n14)),sum(sk0_2,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f17,f7709]) ).

fof(f7711,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f825,f7710]) ).

fof(f7749,plain,
    ( sk0_0 = sum(pred(sum(n16,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f770,f3627]) ).

fof(f7750,plain,
    ( sk0_0 = sum(pred(n9),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f396,f7749]) ).

fof(f7751,plain,
    ( sk0_0 = sum(n8,sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f34,f7750]) ).

fof(f7752,plain,
    ( sk0_0 = sum(n8,sum(n13,pred(sum(n16,n13))))
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f770,f7751]) ).

fof(f7753,plain,
    ( sk0_0 = sum(n8,sum(n13,pred(n8)))
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f395,f7752]) ).

fof(f7754,plain,
    ( sk0_0 = sum(n8,sum(n13,n7))
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f33,f7753]) ).

fof(f7755,plain,
    ( sk0_0 = sum(n8,n20)
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f326,f7754]) ).

fof(f7756,plain,
    ( sk0_0 = n7
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f234,f7755]) ).

fof(f7757,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7756,f497]) ).

fof(f7758,plain,
    ( ~ spl0_16
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f7757]) ).

fof(f7759,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(backward_demodulation,[status(thm)],[f822,f489]) ).

fof(f7760,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n12))),sum(sk0_2,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f822,f7759]) ).

fof(f7761,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n13)),sum(sk0_2,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f16,f7760]) ).

fof(f7762,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f822,f7761]) ).

fof(f7802,plain,
    ( sk0_0 = sum(pred(sum(n19,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_19
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f779,f4591]) ).

fof(f7803,plain,
    ( sk0_0 = sum(pred(n11),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_19
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f458,f7802]) ).

fof(f7804,plain,
    ( sk0_0 = sum(n10,sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_19
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f36,f7803]) ).

fof(f7805,plain,
    ( sk0_0 = sum(n10,sum(n12,pred(sum(n19,n12))))
    | ~ spl0_19
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f779,f7804]) ).

fof(f7806,plain,
    ( sk0_0 = sum(n10,sum(n12,pred(n10)))
    | ~ spl0_19
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f457,f7805]) ).

fof(f7807,plain,
    ( sk0_0 = sum(n10,sum(n12,n9))
    | ~ spl0_19
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f35,f7806]) ).

fof(f7808,plain,
    ( sk0_0 = sum(n10,n0)
    | ~ spl0_19
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f307,f7807]) ).

fof(f7809,plain,
    ( sk0_0 = n10
    | ~ spl0_19
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f256,f7808]) ).

fof(f7810,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7809,f500]) ).

fof(f7811,plain,
    ( ~ spl0_19
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f7810]) ).

fof(f7812,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n16))))
    | ~ spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f834,f489]) ).

fof(f7813,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n16))),sum(sk0_2,pred(sum(sk0_1,n16))))
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f834,f7812]) ).

fof(f7814,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n17)),sum(sk0_2,pred(sum(sk0_1,n16))))
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f20,f7813]) ).

fof(f7815,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n17)),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f834,f7814]) ).

fof(f7856,plain,
    ( sk0_0 = sum(pred(sum(n13,n17)),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f761,f2269]) ).

fof(f7857,plain,
    ( sk0_0 = sum(pred(n9),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f336,f7856]) ).

fof(f7858,plain,
    ( sk0_0 = sum(n8,sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f34,f7857]) ).

fof(f7859,plain,
    ( sk0_0 = sum(n8,sum(n16,pred(sum(n13,n16))))
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f761,f7858]) ).

fof(f7860,plain,
    ( sk0_0 = sum(n8,sum(n16,pred(n8)))
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f335,f7859]) ).

fof(f7861,plain,
    ( sk0_0 = sum(n8,sum(n16,n7))
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f33,f7860]) ).

fof(f7862,plain,
    ( sk0_0 = sum(n8,n2)
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f389,f7861]) ).

fof(f7863,plain,
    ( sk0_0 = n10
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f216,f7862]) ).

fof(f7864,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7863,f500]) ).

fof(f7865,plain,
    ( ~ spl0_13
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f7864]) ).

fof(f7887,plain,
    ( sk0_0 = sum(pred(sum(n19,succ(sk0_2))),sum(sk0_2,pred(sum(n19,n17))))
    | ~ spl0_38
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f837,f6019]) ).

fof(f7888,plain,
    ( sk0_0 = sum(pred(sum(n19,succ(n17))),sum(sk0_2,pred(sum(n19,n17))))
    | ~ spl0_38
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f837,f7887]) ).

fof(f7889,plain,
    ( sk0_0 = sum(pred(sum(n19,n18)),sum(sk0_2,pred(sum(n19,n17))))
    | ~ spl0_38
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f21,f7888]) ).

fof(f7890,plain,
    ( sk0_0 = sum(pred(n16),sum(sk0_2,pred(sum(n19,n17))))
    | ~ spl0_38
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f463,f7889]) ).

fof(f7891,plain,
    ( sk0_0 = sum(n15,sum(sk0_2,pred(sum(n19,n17))))
    | ~ spl0_38
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f41,f7890]) ).

fof(f7892,plain,
    ( sk0_0 = sum(n15,sum(n17,pred(sum(n19,n17))))
    | ~ spl0_38
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f837,f7891]) ).

fof(f7893,plain,
    ( sk0_0 = sum(n15,sum(n17,pred(n15)))
    | ~ spl0_38
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f462,f7892]) ).

fof(f7894,plain,
    ( sk0_0 = sum(n15,sum(n17,n14))
    | ~ spl0_38
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f40,f7893]) ).

fof(f7895,plain,
    ( sk0_0 = sum(n15,n10)
    | ~ spl0_38
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f417,f7894]) ).

fof(f7896,plain,
    ( sk0_0 = n4
    | ~ spl0_38
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f371,f7895]) ).

fof(f7897,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7896,f494]) ).

fof(f7898,plain,
    ( ~ spl0_38
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f7897]) ).

fof(f7919,plain,
    ( sk0_0 = sum(pred(sum(n6,succ(n17))),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_38
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f837,f5286]) ).

fof(f7920,plain,
    ( sk0_0 = sum(pred(sum(n6,n18)),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_38
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f21,f7919]) ).

fof(f7921,plain,
    ( sk0_0 = sum(pred(n3),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_38
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f190,f7920]) ).

fof(f7922,plain,
    ( sk0_0 = sum(n2,sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_38
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f28,f7921]) ).

fof(f7923,plain,
    ( sk0_0 = sum(n2,sum(n17,pred(sum(n6,sk0_2))))
    | ~ spl0_38
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f837,f7922]) ).

fof(f7924,plain,
    ( sk0_0 = sum(n2,sum(n17,pred(sum(n6,n17))))
    | ~ spl0_38
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f837,f7923]) ).

fof(f7925,plain,
    ( sk0_0 = sum(n2,sum(n17,pred(n2)))
    | ~ spl0_38
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f189,f7924]) ).

fof(f7926,plain,
    ( sk0_0 = sum(n2,sum(n17,n1))
    | ~ spl0_38
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f27,f7925]) ).

fof(f7927,plain,
    ( sk0_0 = sum(n2,n18)
    | ~ spl0_38
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f404,f7926]) ).

fof(f7928,plain,
    ( sk0_0 = n20
    | ~ spl0_38
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f106,f7927]) ).

fof(f7929,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7928,f510]) ).

fof(f7930,plain,
    ( ~ spl0_38
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f7929]) ).

fof(f7931,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n17))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f837,f489]) ).

fof(f7932,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n18)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f21,f7931]) ).

fof(f7933,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n18)),sum(n17,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f837,f7932]) ).

fof(f7934,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f837,f7933]) ).

fof(f7935,plain,
    ( sk0_0 = sum(pred(sum(n16,succ(n17))),sum(sk0_2,pred(sum(n16,sk0_2))))
    | ~ spl0_38
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f837,f6084]) ).

fof(f7936,plain,
    ( sk0_0 = sum(pred(sum(n16,n18)),sum(sk0_2,pred(sum(n16,sk0_2))))
    | ~ spl0_38
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f21,f7935]) ).

fof(f7937,plain,
    ( sk0_0 = sum(pred(n13),sum(sk0_2,pred(sum(n16,sk0_2))))
    | ~ spl0_38
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f400,f7936]) ).

fof(f7938,plain,
    ( sk0_0 = sum(n12,sum(sk0_2,pred(sum(n16,sk0_2))))
    | ~ spl0_38
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f38,f7937]) ).

fof(f7939,plain,
    ( sk0_0 = sum(n12,sum(n17,pred(sum(n16,sk0_2))))
    | ~ spl0_38
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f837,f7938]) ).

fof(f7940,plain,
    ( sk0_0 = sum(n12,sum(n17,pred(sum(n16,n17))))
    | ~ spl0_38
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f837,f7939]) ).

fof(f7941,plain,
    ( sk0_0 = sum(n12,sum(n17,pred(n12)))
    | ~ spl0_38
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f399,f7940]) ).

fof(f7942,plain,
    ( sk0_0 = sum(n12,sum(n17,n11))
    | ~ spl0_38
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f37,f7941]) ).

fof(f7943,plain,
    ( sk0_0 = sum(n12,n7)
    | ~ spl0_38
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f414,f7942]) ).

fof(f7944,plain,
    ( sk0_0 = n19
    | ~ spl0_38
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f305,f7943]) ).

fof(f7945,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7944,f509]) ).

fof(f7946,plain,
    ( ~ spl0_38
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f7945]) ).

fof(f7947,plain,
    ( sk0_0 = sum(pred(sum(n13,succ(n17))),sum(sk0_2,pred(sum(n13,sk0_2))))
    | ~ spl0_38
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f837,f5915]) ).

fof(f7948,plain,
    ( sk0_0 = sum(pred(sum(n13,n18)),sum(sk0_2,pred(sum(n13,sk0_2))))
    | ~ spl0_38
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f21,f7947]) ).

fof(f7949,plain,
    ( sk0_0 = sum(pred(n10),sum(sk0_2,pred(sum(n13,sk0_2))))
    | ~ spl0_38
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f337,f7948]) ).

fof(f7950,plain,
    ( sk0_0 = sum(n9,sum(sk0_2,pred(sum(n13,sk0_2))))
    | ~ spl0_38
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f35,f7949]) ).

fof(f7951,plain,
    ( sk0_0 = sum(n9,sum(n17,pred(sum(n13,sk0_2))))
    | ~ spl0_38
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f837,f7950]) ).

fof(f7952,plain,
    ( sk0_0 = sum(n9,sum(n17,pred(sum(n13,n17))))
    | ~ spl0_38
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f837,f7951]) ).

fof(f7953,plain,
    ( sk0_0 = sum(n9,sum(n17,pred(n9)))
    | ~ spl0_38
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f336,f7952]) ).

fof(f7954,plain,
    ( sk0_0 = sum(n9,sum(n17,n8))
    | ~ spl0_38
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f34,f7953]) ).

fof(f7955,plain,
    ( sk0_0 = sum(n9,n4)
    | ~ spl0_38
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f411,f7954]) ).

fof(f7956,plain,
    ( sk0_0 = n13
    | ~ spl0_38
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f239,f7955]) ).

fof(f7957,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7956,f503]) ).

fof(f7958,plain,
    ( ~ spl0_38
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f7957]) ).

fof(f8000,plain,
    ( sk0_0 = sum(pred(sum(n11,n3)),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f755,f3754]) ).

fof(f8001,plain,
    ( sk0_0 = sum(pred(n14),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f280,f8000]) ).

fof(f8002,plain,
    ( sk0_0 = sum(n13,sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f39,f8001]) ).

fof(f8003,plain,
    ( sk0_0 = sum(n13,sum(n2,pred(sum(n11,n2))))
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f755,f8002]) ).

fof(f8004,plain,
    ( sk0_0 = sum(n13,sum(n2,pred(n13)))
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f279,f8003]) ).

fof(f8005,plain,
    ( sk0_0 = sum(n13,sum(n2,n12))
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f38,f8004]) ).

fof(f8006,plain,
    ( sk0_0 = sum(n13,n14)
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f100,f8005]) ).

fof(f8007,plain,
    ( sk0_0 = n6
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f333,f8006]) ).

fof(f8008,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8007,f496]) ).

fof(f8009,plain,
    ( ~ spl0_11
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f8008]) ).

fof(f8010,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f798,f489]) ).

fof(f8011,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n4))),sum(sk0_2,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f798,f8010]) ).

fof(f8012,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n5)),sum(sk0_2,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f8,f8011]) ).

fof(f8013,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f798,f8012]) ).

fof(f8053,plain,
    ( sk0_0 = sum(pred(sum(n0,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f722,f5759]) ).

fof(f8054,plain,
    ( sk0_0 = sum(pred(n5),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f51,f8053]) ).

fof(f8055,plain,
    ( sk0_0 = sum(n4,sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f30,f8054]) ).

fof(f8056,plain,
    ( sk0_0 = sum(n4,sum(n4,pred(sum(n0,n4))))
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f722,f8055]) ).

fof(f8057,plain,
    ( sk0_0 = sum(n4,sum(n4,pred(n4)))
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f50,f8056]) ).

fof(f8058,plain,
    ( sk0_0 = sum(n4,sum(n4,n3))
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f29,f8057]) ).

fof(f8059,plain,
    ( sk0_0 = sum(n4,n7)
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f133,f8058]) ).

fof(f8060,plain,
    ( sk0_0 = n11
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f137,f8059]) ).

fof(f8061,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8060,f501]) ).

fof(f8062,plain,
    ( ~ spl0_0
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f8061]) ).

fof(f8065,plain,
    ( sk0_0 = sum(pred(sum(n0,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f722,f6454]) ).

fof(f8066,plain,
    ( sk0_0 = sum(pred(n1),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f47,f8065]) ).

fof(f8067,plain,
    ( sk0_0 = sum(n0,sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f26,f8066]) ).

fof(f8068,plain,
    ( sk0_0 = sum(n0,sum(n0,pred(sum(n0,n0))))
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f722,f8067]) ).

fof(f8069,plain,
    ( sk0_0 = sum(n0,sum(n0,pred(n0)))
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f46,f8068]) ).

fof(f8070,plain,
    ( sk0_0 = sum(n0,sum(n0,n20))
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f25,f8069]) ).

fof(f8071,plain,
    ( sk0_0 = sum(n0,n20)
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f66,f8070]) ).

fof(f8072,plain,
    ( sk0_0 = n20
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f66,f8071]) ).

fof(f8073,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8072,f510]) ).

fof(f8074,plain,
    ( ~ spl0_0
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f8073]) ).

fof(f8075,plain,
    ( sk0_0 = sum(pred(sum(n0,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f722,f3768]) ).

fof(f8076,plain,
    ( sk0_0 = sum(pred(n2),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f48,f8075]) ).

fof(f8077,plain,
    ( sk0_0 = sum(n1,sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f27,f8076]) ).

fof(f8078,plain,
    ( sk0_0 = sum(n1,sum(n1,pred(sum(n0,n1))))
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f722,f8077]) ).

fof(f8079,plain,
    ( sk0_0 = sum(n1,sum(n1,pred(n1)))
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f47,f8078]) ).

fof(f8080,plain,
    ( sk0_0 = sum(n1,sum(n1,n0))
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f26,f8079]) ).

fof(f8081,plain,
    ( sk0_0 = sum(n1,n1)
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f67,f8080]) ).

fof(f8082,plain,
    ( sk0_0 = n2
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f68,f8081]) ).

fof(f8083,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8082,f492]) ).

fof(f8084,plain,
    ( ~ spl0_0
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f8083]) ).

fof(f8085,plain,
    ( sk0_0 = sum(pred(sum(n0,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f722,f3358]) ).

fof(f8086,plain,
    ( sk0_0 = sum(pred(n9),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f55,f8085]) ).

fof(f8087,plain,
    ( sk0_0 = sum(n8,sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f34,f8086]) ).

fof(f8088,plain,
    ( sk0_0 = sum(n8,sum(n8,pred(sum(n0,n8))))
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f722,f8087]) ).

fof(f8089,plain,
    ( sk0_0 = sum(n8,sum(n8,pred(n8)))
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f54,f8088]) ).

fof(f8090,plain,
    ( sk0_0 = sum(n8,sum(n8,n7))
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f33,f8089]) ).

fof(f8091,plain,
    ( sk0_0 = sum(n8,n15)
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f221,f8090]) ).

fof(f8092,plain,
    ( sk0_0 = n2
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f229,f8091]) ).

fof(f8093,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8092,f492]) ).

fof(f8094,plain,
    ( ~ spl0_0
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f8093]) ).

fof(f8095,plain,
    ( sk0_0 = sum(pred(sum(n0,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f722,f3465]) ).

fof(f8096,plain,
    ( sk0_0 = sum(pred(n11),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f57,f8095]) ).

fof(f8097,plain,
    ( sk0_0 = sum(n10,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f36,f8096]) ).

fof(f8098,plain,
    ( sk0_0 = sum(n10,sum(n10,pred(sum(n0,n10))))
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f722,f8097]) ).

fof(f8099,plain,
    ( sk0_0 = sum(n10,sum(n10,pred(n10)))
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f56,f8098]) ).

fof(f8100,plain,
    ( sk0_0 = sum(n10,sum(n10,n9))
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f35,f8099]) ).

fof(f8101,plain,
    ( sk0_0 = sum(n10,n19)
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f265,f8100]) ).

fof(f8102,plain,
    ( sk0_0 = n8
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f275,f8101]) ).

fof(f8103,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8102,f498]) ).

fof(f8104,plain,
    ( ~ spl0_0
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f8103]) ).

fof(f8105,plain,
    ( sk0_0 = sum(pred(sum(n0,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_0
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f722,f3411]) ).

fof(f8106,plain,
    ( sk0_0 = sum(pred(n12),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_0
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f58,f8105]) ).

fof(f8107,plain,
    ( sk0_0 = sum(n11,sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_0
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f37,f8106]) ).

fof(f8108,plain,
    ( sk0_0 = sum(n11,sum(n11,pred(sum(n0,n11))))
    | ~ spl0_0
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f722,f8107]) ).

fof(f8109,plain,
    ( sk0_0 = sum(n11,sum(n11,pred(n11)))
    | ~ spl0_0
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f57,f8108]) ).

fof(f8110,plain,
    ( sk0_0 = sum(n11,sum(n11,n10))
    | ~ spl0_0
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f36,f8109]) ).

fof(f8111,plain,
    ( sk0_0 = sum(n11,n0)
    | ~ spl0_0
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f287,f8110]) ).

fof(f8112,plain,
    ( sk0_0 = n11
    | ~ spl0_0
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f277,f8111]) ).

fof(f8113,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8112,f501]) ).

fof(f8114,plain,
    ( ~ spl0_0
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f8113]) ).

fof(f8133,plain,
    ( sk0_0 = sum(pred(sum(n0,succ(sk0_2))),sum(sk0_2,pred(sum(n0,n7))))
    | ~ spl0_28
    | ~ spl0_0 ),
    inference(backward_demodulation,[status(thm)],[f807,f7274]) ).

fof(f8134,plain,
    ( sk0_0 = sum(pred(sum(n0,succ(n7))),sum(sk0_2,pred(sum(n0,n7))))
    | ~ spl0_28
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f807,f8133]) ).

fof(f8135,plain,
    ( sk0_0 = sum(pred(sum(n0,n8)),sum(sk0_2,pred(sum(n0,n7))))
    | ~ spl0_28
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f11,f8134]) ).

fof(f8136,plain,
    ( sk0_0 = sum(pred(n8),sum(sk0_2,pred(sum(n0,n7))))
    | ~ spl0_28
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f54,f8135]) ).

fof(f8137,plain,
    ( sk0_0 = sum(n7,sum(sk0_2,pred(sum(n0,n7))))
    | ~ spl0_28
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f33,f8136]) ).

fof(f8138,plain,
    ( sk0_0 = sum(n7,sum(n7,pred(sum(n0,n7))))
    | ~ spl0_28
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f807,f8137]) ).

fof(f8139,plain,
    ( sk0_0 = sum(n7,sum(n7,pred(n7)))
    | ~ spl0_28
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f53,f8138]) ).

fof(f8140,plain,
    ( sk0_0 = sum(n7,sum(n7,n6))
    | ~ spl0_28
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f32,f8139]) ).

fof(f8141,plain,
    ( sk0_0 = sum(n7,n13)
    | ~ spl0_28
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f199,f8140]) ).

fof(f8142,plain,
    ( sk0_0 = n20
    | ~ spl0_28
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f206,f8141]) ).

fof(f8143,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8142,f510]) ).

fof(f8144,plain,
    ( ~ spl0_28
    | ~ spl0_0 ),
    inference(contradiction_clause,[status(thm)],[f8143]) ).

fof(f8145,plain,
    ( sk0_0 = sum(pred(sum(n0,n7)),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f722,f3236]) ).

fof(f8146,plain,
    ( sk0_0 = sum(pred(n7),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f53,f8145]) ).

fof(f8147,plain,
    ( sk0_0 = sum(n6,sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f32,f8146]) ).

fof(f8148,plain,
    ( sk0_0 = sum(n6,sum(n6,pred(sum(n0,n6))))
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f722,f8147]) ).

fof(f8149,plain,
    ( sk0_0 = sum(n6,sum(n6,pred(n6)))
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f52,f8148]) ).

fof(f8150,plain,
    ( sk0_0 = sum(n6,sum(n6,n5))
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f31,f8149]) ).

fof(f8151,plain,
    ( sk0_0 = sum(n6,n11)
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f177,f8150]) ).

fof(f8152,plain,
    ( sk0_0 = n17
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f183,f8151]) ).

fof(f8153,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8152,f507]) ).

fof(f8154,plain,
    ( ~ spl0_0
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f8153]) ).

fof(f8155,plain,
    ( sk0_0 = sum(pred(sum(n0,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_0
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f722,f6680]) ).

fof(f8156,plain,
    ( sk0_0 = sum(pred(n19),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_0
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f65,f8155]) ).

fof(f8157,plain,
    ( sk0_0 = sum(n18,sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_0
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f44,f8156]) ).

fof(f8158,plain,
    ( sk0_0 = sum(n18,sum(n18,pred(sum(n0,n18))))
    | ~ spl0_0
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f722,f8157]) ).

fof(f8159,plain,
    ( sk0_0 = sum(n18,sum(n18,pred(n18)))
    | ~ spl0_0
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f64,f8158]) ).

fof(f8160,plain,
    ( sk0_0 = sum(n18,sum(n18,n17))
    | ~ spl0_0
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f43,f8159]) ).

fof(f8161,plain,
    ( sk0_0 = sum(n18,n14)
    | ~ spl0_0
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f441,f8160]) ).

fof(f8162,plain,
    ( sk0_0 = n11
    | ~ spl0_0
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f438,f8161]) ).

fof(f8163,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8162,f501]) ).

fof(f8164,plain,
    ( ~ spl0_0
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f8163]) ).

fof(f8165,plain,
    ( sk0_0 = sum(pred(sum(n0,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f722,f3895]) ).

fof(f8166,plain,
    ( sk0_0 = sum(pred(n6),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f52,f8165]) ).

fof(f8167,plain,
    ( sk0_0 = sum(n5,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f31,f8166]) ).

fof(f8168,plain,
    ( sk0_0 = sum(n5,sum(n5,pred(sum(n0,n5))))
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f722,f8167]) ).

fof(f8169,plain,
    ( sk0_0 = sum(n5,sum(n5,pred(n5)))
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f51,f8168]) ).

fof(f8170,plain,
    ( sk0_0 = sum(n5,sum(n5,n4))
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f30,f8169]) ).

fof(f8171,plain,
    ( sk0_0 = sum(n5,n9)
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f155,f8170]) ).

fof(f8172,plain,
    ( sk0_0 = n14
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f160,f8171]) ).

fof(f8173,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8172,f504]) ).

fof(f8174,plain,
    ( ~ spl0_0
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f8173]) ).

fof(f8217,plain,
    ( sk0_0 = sum(pred(sum(n3,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_3
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f731,f2083]) ).

fof(f8218,plain,
    ( sk0_0 = sum(pred(n19),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_3
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f125,f8217]) ).

fof(f8219,plain,
    ( sk0_0 = sum(n18,sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_3
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f44,f8218]) ).

fof(f8220,plain,
    ( sk0_0 = sum(n18,sum(n15,pred(sum(n3,n15))))
    | ~ spl0_3
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f731,f8219]) ).

fof(f8221,plain,
    ( sk0_0 = sum(n18,sum(n15,pred(n18)))
    | ~ spl0_3
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f124,f8220]) ).

fof(f8222,plain,
    ( sk0_0 = sum(n18,sum(n15,n17))
    | ~ spl0_3
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f43,f8221]) ).

fof(f8223,plain,
    ( sk0_0 = sum(n18,n11)
    | ~ spl0_3
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f378,f8222]) ).

fof(f8224,plain,
    ( sk0_0 = n8
    | ~ spl0_3
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f435,f8223]) ).

fof(f8225,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8224,f498]) ).

fof(f8226,plain,
    ( ~ spl0_3
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f8225]) ).

fof(f8227,plain,
    ( sk0_0 = sum(pred(sum(n7,succ(n15))),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_36
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f831,f6334]) ).

fof(f8228,plain,
    ( sk0_0 = sum(pred(sum(n7,n16)),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_36
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f19,f8227]) ).

fof(f8229,plain,
    ( sk0_0 = sum(pred(n2),sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_36
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f209,f8228]) ).

fof(f8230,plain,
    ( sk0_0 = sum(n1,sum(sk0_2,pred(sum(n7,sk0_2))))
    | ~ spl0_36
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f27,f8229]) ).

fof(f8231,plain,
    ( sk0_0 = sum(n1,sum(n15,pred(sum(n7,sk0_2))))
    | ~ spl0_36
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f831,f8230]) ).

fof(f8232,plain,
    ( sk0_0 = sum(n1,sum(n15,pred(sum(n7,n15))))
    | ~ spl0_36
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f831,f8231]) ).

fof(f8233,plain,
    ( sk0_0 = sum(n1,sum(n15,pred(n1)))
    | ~ spl0_36
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f208,f8232]) ).

fof(f8234,plain,
    ( sk0_0 = sum(n1,sum(n15,n0))
    | ~ spl0_36
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f26,f8233]) ).

fof(f8235,plain,
    ( sk0_0 = sum(n1,n15)
    | ~ spl0_36
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f361,f8234]) ).

fof(f8236,plain,
    ( sk0_0 = n16
    | ~ spl0_36
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f82,f8235]) ).

fof(f8237,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8236,f506]) ).

fof(f8238,plain,
    ( ~ spl0_36
    | ~ spl0_7 ),
    inference(contradiction_clause,[status(thm)],[f8237]) ).

fof(f8239,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f749,f489]) ).

fof(f8240,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(sk0_2))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f749,f8239]) ).

fof(f8261,plain,
    ( sk0_0 = sum(pred(sum(n9,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f749,f6388]) ).

fof(f8262,plain,
    ( sk0_0 = sum(pred(n9),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f235,f8261]) ).

fof(f8263,plain,
    ( sk0_0 = sum(n8,sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f34,f8262]) ).

fof(f8264,plain,
    ( sk0_0 = sum(n8,sum(n20,pred(sum(n9,n20))))
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f749,f8263]) ).

fof(f8265,plain,
    ( sk0_0 = sum(n8,sum(n20,pred(n8)))
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f255,f8264]) ).

fof(f8266,plain,
    ( sk0_0 = sum(n8,sum(n20,n7))
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f33,f8265]) ).

fof(f8267,plain,
    ( sk0_0 = sum(n8,n6)
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f473,f8266]) ).

fof(f8268,plain,
    ( sk0_0 = n14
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f220,f8267]) ).

fof(f8269,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8268,f504]) ).

fof(f8270,plain,
    ( ~ spl0_9
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f8269]) ).

fof(f8314,plain,
    ( sk0_0 = sum(pred(sum(n2,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f728,f7563]) ).

fof(f8315,plain,
    ( sk0_0 = sum(pred(n2),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f88,f8314]) ).

fof(f8316,plain,
    ( sk0_0 = sum(n1,sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f27,f8315]) ).

fof(f8317,plain,
    ( sk0_0 = sum(n1,sum(n20,pred(sum(n2,n20))))
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f728,f8316]) ).

fof(f8318,plain,
    ( sk0_0 = sum(n1,sum(n20,pred(n1)))
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f108,f8317]) ).

fof(f8319,plain,
    ( sk0_0 = sum(n1,sum(n20,n0))
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f26,f8318]) ).

fof(f8320,plain,
    ( sk0_0 = sum(n1,n20)
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f466,f8319]) ).

fof(f8321,plain,
    ( sk0_0 = n0
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f87,f8320]) ).

fof(f8322,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8321,f490]) ).

fof(f8323,plain,
    ( ~ spl0_2
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f8322]) ).

fof(f8324,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(backward_demodulation,[status(thm)],[f825,f489]) ).

fof(f8325,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n13))),sum(sk0_2,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f825,f8324]) ).

fof(f8326,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n14)),sum(sk0_2,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f17,f8325]) ).

fof(f8327,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f825,f8326]) ).

fof(f8367,plain,
    ( sk0_0 = sum(pred(sum(n10,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_10
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f752,f7711]) ).

fof(f8368,plain,
    ( sk0_0 = sum(pred(n3),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_10
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f270,f8367]) ).

fof(f8369,plain,
    ( sk0_0 = sum(n2,sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_10
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f28,f8368]) ).

fof(f8370,plain,
    ( sk0_0 = sum(n2,sum(n13,pred(sum(n10,n13))))
    | ~ spl0_10
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f752,f8369]) ).

fof(f8371,plain,
    ( sk0_0 = sum(n2,sum(n13,pred(n2)))
    | ~ spl0_10
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f269,f8370]) ).

fof(f8372,plain,
    ( sk0_0 = sum(n2,sum(n13,n1))
    | ~ spl0_10
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f27,f8371]) ).

fof(f8373,plain,
    ( sk0_0 = sum(n2,n14)
    | ~ spl0_10
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f320,f8372]) ).

fof(f8374,plain,
    ( sk0_0 = n16
    | ~ spl0_10
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f102,f8373]) ).

fof(f8375,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8374,f506]) ).

fof(f8376,plain,
    ( ~ spl0_10
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f8375]) ).

fof(f8377,plain,
    ( sk0_0 = sum(pred(sum(n10,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_10
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f752,f6994]) ).

fof(f8378,plain,
    ( sk0_0 = sum(pred(n2),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_10
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f269,f8377]) ).

fof(f8379,plain,
    ( sk0_0 = sum(n1,sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_10
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f27,f8378]) ).

fof(f8380,plain,
    ( sk0_0 = sum(n1,sum(n12,pred(sum(n10,n12))))
    | ~ spl0_10
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f752,f8379]) ).

fof(f8381,plain,
    ( sk0_0 = sum(n1,sum(n12,pred(n1)))
    | ~ spl0_10
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f268,f8380]) ).

fof(f8382,plain,
    ( sk0_0 = sum(n1,sum(n12,n0))
    | ~ spl0_10
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f26,f8381]) ).

fof(f8383,plain,
    ( sk0_0 = sum(n1,n12)
    | ~ spl0_10
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f298,f8382]) ).

fof(f8384,plain,
    ( sk0_0 = n13
    | ~ spl0_10
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f79,f8383]) ).

fof(f8385,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8384,f503]) ).

fof(f8386,plain,
    ( ~ spl0_10
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f8385]) ).

fof(f8429,plain,
    ( sk0_0 = sum(pred(sum(n1,n17)),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_1
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f725,f2935]) ).

fof(f8430,plain,
    ( sk0_0 = sum(pred(n18),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_1
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f84,f8429]) ).

fof(f8431,plain,
    ( sk0_0 = sum(n17,sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_1
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f43,f8430]) ).

fof(f8432,plain,
    ( sk0_0 = sum(n17,sum(n16,pred(sum(n1,n16))))
    | ~ spl0_1
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f725,f8431]) ).

fof(f8433,plain,
    ( sk0_0 = sum(n17,sum(n16,pred(n17)))
    | ~ spl0_1
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f83,f8432]) ).

fof(f8434,plain,
    ( sk0_0 = sum(n17,sum(n16,n16))
    | ~ spl0_1
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f42,f8433]) ).

fof(f8435,plain,
    ( sk0_0 = sum(n17,n11)
    | ~ spl0_1
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f398,f8434]) ).

fof(f8436,plain,
    ( sk0_0 = n7
    | ~ spl0_1
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f414,f8435]) ).

fof(f8437,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8436,f497]) ).

fof(f8438,plain,
    ( ~ spl0_1
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f8437]) ).

fof(f8439,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(n16))),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_37
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f834,f6753]) ).

fof(f8440,plain,
    ( sk0_0 = sum(pred(sum(n15,n17)),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_37
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f20,f8439]) ).

fof(f8441,plain,
    ( sk0_0 = sum(pred(n11),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_37
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f378,f8440]) ).

fof(f8442,plain,
    ( sk0_0 = sum(n10,sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_37
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f36,f8441]) ).

fof(f8443,plain,
    ( sk0_0 = sum(n10,sum(n16,pred(sum(n15,sk0_2))))
    | ~ spl0_37
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f834,f8442]) ).

fof(f8444,plain,
    ( sk0_0 = sum(n10,sum(n16,pred(sum(n15,n16))))
    | ~ spl0_37
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f834,f8443]) ).

fof(f8445,plain,
    ( sk0_0 = sum(n10,sum(n16,pred(n10)))
    | ~ spl0_37
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f377,f8444]) ).

fof(f8446,plain,
    ( sk0_0 = sum(n10,sum(n16,n9))
    | ~ spl0_37
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f35,f8445]) ).

fof(f8447,plain,
    ( sk0_0 = sum(n10,n4)
    | ~ spl0_37
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f391,f8446]) ).

fof(f8448,plain,
    ( sk0_0 = n14
    | ~ spl0_37
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f260,f8447]) ).

fof(f8449,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8448,f504]) ).

fof(f8450,plain,
    ( ~ spl0_37
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f8449]) ).

fof(f8455,plain,
    ( sk0_0 = sum(pred(sum(n11,succ(n16))),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_37
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f834,f6567]) ).

fof(f8456,plain,
    ( sk0_0 = sum(pred(sum(n11,n17)),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_37
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f20,f8455]) ).

fof(f8457,plain,
    ( sk0_0 = sum(pred(n7),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_37
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f294,f8456]) ).

fof(f8458,plain,
    ( sk0_0 = sum(n6,sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_37
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f32,f8457]) ).

fof(f8459,plain,
    ( sk0_0 = sum(n6,sum(n16,pred(sum(n11,sk0_2))))
    | ~ spl0_37
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f834,f8458]) ).

fof(f8460,plain,
    ( sk0_0 = sum(n6,sum(n16,pred(sum(n11,n16))))
    | ~ spl0_37
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f834,f8459]) ).

fof(f8461,plain,
    ( sk0_0 = sum(n6,sum(n16,pred(n6)))
    | ~ spl0_37
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f293,f8460]) ).

fof(f8462,plain,
    ( sk0_0 = sum(n6,sum(n16,n5))
    | ~ spl0_37
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f31,f8461]) ).

fof(f8463,plain,
    ( sk0_0 = sum(n6,n0)
    | ~ spl0_37
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f387,f8462]) ).

fof(f8464,plain,
    ( sk0_0 = n6
    | ~ spl0_37
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f172,f8463]) ).

fof(f8465,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8464,f496]) ).

fof(f8466,plain,
    ( ~ spl0_37
    | ~ spl0_11 ),
    inference(contradiction_clause,[status(thm)],[f8465]) ).

fof(f8510,plain,
    ( sk0_0 = sum(pred(sum(n19,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_19
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f779,f4844]) ).

fof(f8511,plain,
    ( sk0_0 = sum(pred(n3),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_19
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f450,f8510]) ).

fof(f8512,plain,
    ( sk0_0 = sum(n2,sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_19
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f28,f8511]) ).

fof(f8513,plain,
    ( sk0_0 = sum(n2,sum(n4,pred(sum(n19,n4))))
    | ~ spl0_19
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f779,f8512]) ).

fof(f8514,plain,
    ( sk0_0 = sum(n2,sum(n4,pred(n2)))
    | ~ spl0_19
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f449,f8513]) ).

fof(f8515,plain,
    ( sk0_0 = sum(n2,sum(n4,n1))
    | ~ spl0_19
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f27,f8514]) ).

fof(f8516,plain,
    ( sk0_0 = sum(n2,n5)
    | ~ spl0_19
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f131,f8515]) ).

fof(f8517,plain,
    ( sk0_0 = n7
    | ~ spl0_19
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f93,f8516]) ).

fof(f8518,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8517,f497]) ).

fof(f8519,plain,
    ( ~ spl0_19
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f8518]) ).

fof(f8544,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(n0,pred(sum(n17,n0))))
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f773,f4537]) ).

fof(f8545,plain,
    ( sk0_0 = sum(pred(sum(n17,n1)),sum(n0,pred(sum(n17,n0))))
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f773,f8544]) ).

fof(f8546,plain,
    ( sk0_0 = sum(pred(n18),sum(n0,pred(sum(n17,n0))))
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f404,f8545]) ).

fof(f8547,plain,
    ( sk0_0 = sum(n17,sum(n0,pred(sum(n17,n0))))
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f43,f8546]) ).

fof(f8548,plain,
    ( sk0_0 = sum(n17,sum(n0,pred(n17)))
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f403,f8547]) ).

fof(f8549,plain,
    ( sk0_0 = sum(n17,sum(n0,n16))
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f42,f8548]) ).

fof(f8550,plain,
    ( sk0_0 = sum(n17,n16)
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f62,f8549]) ).

fof(f8551,plain,
    ( sk0_0 = n12
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f419,f8550]) ).

fof(f8552,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8551,f502]) ).

fof(f8553,plain,
    ( ~ spl0_17
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f8552]) ).

fof(f8554,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f828,f489]) ).

fof(f8555,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n14))),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f828,f8554]) ).

fof(f8556,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f18,f8555]) ).

fof(f8557,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f828,f8556]) ).

fof(f8597,plain,
    ( sk0_0 = sum(pred(sum(n16,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_16
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f770,f3518]) ).

fof(f8598,plain,
    ( sk0_0 = sum(pred(n10),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_16
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f397,f8597]) ).

fof(f8599,plain,
    ( sk0_0 = sum(n9,sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_16
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f35,f8598]) ).

fof(f8600,plain,
    ( sk0_0 = sum(n9,sum(n14,pred(sum(n16,n14))))
    | ~ spl0_16
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f770,f8599]) ).

fof(f8601,plain,
    ( sk0_0 = sum(n9,sum(n14,pred(n9)))
    | ~ spl0_16
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f396,f8600]) ).

fof(f8602,plain,
    ( sk0_0 = sum(n9,sum(n14,n8))
    | ~ spl0_16
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f34,f8601]) ).

fof(f8603,plain,
    ( sk0_0 = sum(n9,n1)
    | ~ spl0_16
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f348,f8602]) ).

fof(f8604,plain,
    ( sk0_0 = n10
    | ~ spl0_16
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f236,f8603]) ).

fof(f8605,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8604,f500]) ).

fof(f8606,plain,
    ( ~ spl0_16
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f8605]) ).

fof(f8607,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f789,f489]) ).

fof(f8608,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n1))),sum(sk0_2,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f789,f8607]) ).

fof(f8609,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n2)),sum(sk0_2,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f5,f8608]) ).

fof(f8610,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f789,f8609]) ).

fof(f8650,plain,
    ( sk0_0 = sum(pred(sum(n19,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f779,f4645]) ).

fof(f8651,plain,
    ( sk0_0 = sum(pred(n0),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f447,f8650]) ).

fof(f8652,plain,
    ( sk0_0 = sum(n20,sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f25,f8651]) ).

fof(f8653,plain,
    ( sk0_0 = sum(n20,sum(n1,pred(sum(n19,n1))))
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f779,f8652]) ).

fof(f8654,plain,
    ( sk0_0 = sum(n20,sum(n1,pred(n20)))
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f446,f8653]) ).

fof(f8655,plain,
    ( sk0_0 = sum(n20,sum(n1,n19))
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f45,f8654]) ).

fof(f8656,plain,
    ( sk0_0 = sum(n20,n20)
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f86,f8655]) ).

fof(f8657,plain,
    ( sk0_0 = n19
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f486,f8656]) ).

fof(f8658,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8657,f509]) ).

fof(f8659,plain,
    ( ~ spl0_19
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f8658]) ).

fof(f8660,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(backward_demodulation,[status(thm)],[f810,f489]) ).

fof(f8661,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n8))),sum(sk0_2,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f810,f8660]) ).

fof(f8662,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(sk0_2,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f12,f8661]) ).

fof(f8663,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f810,f8662]) ).

fof(f8703,plain,
    ( sk0_0 = sum(pred(sum(n6,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f740,f4447]) ).

fof(f8704,plain,
    ( sk0_0 = sum(pred(n15),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f181,f8703]) ).

fof(f8705,plain,
    ( sk0_0 = sum(n14,sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f40,f8704]) ).

fof(f8706,plain,
    ( sk0_0 = sum(n14,sum(n8,pred(sum(n6,n8))))
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f740,f8705]) ).

fof(f8707,plain,
    ( sk0_0 = sum(n14,sum(n8,pred(n14)))
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f180,f8706]) ).

fof(f8708,plain,
    ( sk0_0 = sum(n14,sum(n8,n13))
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f39,f8707]) ).

fof(f8709,plain,
    ( sk0_0 = sum(n14,n0)
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f227,f8708]) ).

fof(f8710,plain,
    ( sk0_0 = n14
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f340,f8709]) ).

fof(f8711,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8710,f504]) ).

fof(f8712,plain,
    ( ~ spl0_6
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f8711]) ).

fof(f8713,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f813,f489]) ).

fof(f8714,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n9))),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f813,f8713]) ).

fof(f8715,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n10)),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f13,f8714]) ).

fof(f8716,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f813,f8715]) ).

fof(f8737,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n10)),sum(n9,pred(sum(n16,n9))))
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f770,f3289]) ).

fof(f8738,plain,
    ( sk0_0 = sum(pred(sum(n16,n10)),sum(n9,pred(sum(n16,n9))))
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f770,f8737]) ).

fof(f8739,plain,
    ( sk0_0 = sum(pred(n5),sum(n9,pred(sum(n16,n9))))
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f392,f8738]) ).

fof(f8740,plain,
    ( sk0_0 = sum(n4,sum(n9,pred(sum(n16,n9))))
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f30,f8739]) ).

fof(f8741,plain,
    ( sk0_0 = sum(n4,sum(n9,pred(n4)))
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f391,f8740]) ).

fof(f8742,plain,
    ( sk0_0 = sum(n4,sum(n9,n3))
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f29,f8741]) ).

fof(f8743,plain,
    ( sk0_0 = sum(n4,n12)
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f238,f8742]) ).

fof(f8744,plain,
    ( sk0_0 = n16
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f142,f8743]) ).

fof(f8745,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8744,f506]) ).

fof(f8746,plain,
    ( ~ spl0_16
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f8745]) ).

fof(f8747,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f816,f489]) ).

fof(f8748,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n10))),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f816,f8747]) ).

fof(f8749,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n11)),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f14,f8748]) ).

fof(f8750,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f816,f8749]) ).

fof(f8790,plain,
    ( sk0_0 = sum(pred(sum(n19,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_19
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f779,f7171]) ).

fof(f8791,plain,
    ( sk0_0 = sum(pred(n9),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_19
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f456,f8790]) ).

fof(f8792,plain,
    ( sk0_0 = sum(n8,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_19
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f34,f8791]) ).

fof(f8793,plain,
    ( sk0_0 = sum(n8,sum(n10,pred(sum(n19,n10))))
    | ~ spl0_19
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f779,f8792]) ).

fof(f8794,plain,
    ( sk0_0 = sum(n8,sum(n10,pred(n8)))
    | ~ spl0_19
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f455,f8793]) ).

fof(f8795,plain,
    ( sk0_0 = sum(n8,sum(n10,n7))
    | ~ spl0_19
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f33,f8794]) ).

fof(f8796,plain,
    ( sk0_0 = sum(n8,n17)
    | ~ spl0_19
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f263,f8795]) ).

fof(f8797,plain,
    ( sk0_0 = n4
    | ~ spl0_19
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f231,f8796]) ).

fof(f8798,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8797,f494]) ).

fof(f8799,plain,
    ( ~ spl0_19
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f8798]) ).

fof(f8843,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n12)),sum(n11,pred(sum(n16,n11))))
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(backward_demodulation,[status(thm)],[f770,f3411]) ).

fof(f8844,plain,
    ( sk0_0 = sum(pred(sum(n16,n12)),sum(n11,pred(sum(n16,n11))))
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f770,f8843]) ).

fof(f8845,plain,
    ( sk0_0 = sum(pred(n7),sum(n11,pred(sum(n16,n11))))
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f394,f8844]) ).

fof(f8846,plain,
    ( sk0_0 = sum(n6,sum(n11,pred(sum(n16,n11))))
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f32,f8845]) ).

fof(f8847,plain,
    ( sk0_0 = sum(n6,sum(n11,pred(n6)))
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f393,f8846]) ).

fof(f8848,plain,
    ( sk0_0 = sum(n6,sum(n11,n5))
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f31,f8847]) ).

fof(f8849,plain,
    ( sk0_0 = sum(n6,n16)
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f282,f8848]) ).

fof(f8850,plain,
    ( sk0_0 = n1
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f188,f8849]) ).

fof(f8851,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8850,f491]) ).

fof(f8852,plain,
    ( ~ spl0_16
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f8851]) ).

fof(f8853,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n6))))
    | ~ spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f804,f489]) ).

fof(f8854,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n6))),sum(sk0_2,pred(sum(sk0_1,n6))))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f804,f8853]) ).

fof(f8855,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n7)),sum(sk0_2,pred(sum(sk0_1,n6))))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f10,f8854]) ).

fof(f8856,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n7)),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f804,f8855]) ).

fof(f8896,plain,
    ( sk0_0 = sum(pred(sum(n19,n7)),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_19
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f779,f3236]) ).

fof(f8897,plain,
    ( sk0_0 = sum(pred(n5),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_19
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f452,f8896]) ).

fof(f8898,plain,
    ( sk0_0 = sum(n4,sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_19
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f30,f8897]) ).

fof(f8899,plain,
    ( sk0_0 = sum(n4,sum(n6,pred(sum(n19,n6))))
    | ~ spl0_19
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f779,f8898]) ).

fof(f8900,plain,
    ( sk0_0 = sum(n4,sum(n6,pred(n4)))
    | ~ spl0_19
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f451,f8899]) ).

fof(f8901,plain,
    ( sk0_0 = sum(n4,sum(n6,n3))
    | ~ spl0_19
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f29,f8900]) ).

fof(f8902,plain,
    ( sk0_0 = sum(n4,n9)
    | ~ spl0_19
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f175,f8901]) ).

fof(f8903,plain,
    ( sk0_0 = n13
    | ~ spl0_19
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f139,f8902]) ).

fof(f8904,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8903,f503]) ).

fof(f8905,plain,
    ( ~ spl0_19
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f8904]) ).

fof(f8943,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f807,f489]) ).

fof(f8944,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n7))),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f807,f8943]) ).

fof(f8945,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f11,f8944]) ).

fof(f8946,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f807,f8945]) ).

fof(f8986,plain,
    ( sk0_0 = sum(pred(sum(n16,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f770,f8946]) ).

fof(f8987,plain,
    ( sk0_0 = sum(pred(n3),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f390,f8986]) ).

fof(f8988,plain,
    ( sk0_0 = sum(n2,sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f28,f8987]) ).

fof(f8989,plain,
    ( sk0_0 = sum(n2,sum(n7,pred(sum(n16,n7))))
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f770,f8988]) ).

fof(f8990,plain,
    ( sk0_0 = sum(n2,sum(n7,pred(n2)))
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f389,f8989]) ).

fof(f8991,plain,
    ( sk0_0 = sum(n2,sum(n7,n1))
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f27,f8990]) ).

fof(f8992,plain,
    ( sk0_0 = sum(n2,n8)
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f194,f8991]) ).

fof(f8993,plain,
    ( sk0_0 = n10
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f96,f8992]) ).

fof(f8994,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8993,f500]) ).

fof(f8995,plain,
    ( ~ spl0_16
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f8994]) ).

fof(f8996,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(backward_demodulation,[status(thm)],[f840,f489]) ).

fof(f8997,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n18))),sum(sk0_2,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f840,f8996]) ).

fof(f8998,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(sk0_2,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f22,f8997]) ).

fof(f8999,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f840,f8998]) ).

fof(f9037,plain,
    ( sk0_0 = sum(pred(sum(n19,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_19
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f779,f6680]) ).

fof(f9038,plain,
    ( sk0_0 = sum(pred(n17),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_19
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f464,f9037]) ).

fof(f9039,plain,
    ( sk0_0 = sum(n16,sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_19
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f42,f9038]) ).

fof(f9040,plain,
    ( sk0_0 = sum(n16,sum(n18,pred(sum(n19,n18))))
    | ~ spl0_19
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f779,f9039]) ).

fof(f9041,plain,
    ( sk0_0 = sum(n16,sum(n18,pred(n16)))
    | ~ spl0_19
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f463,f9040]) ).

fof(f9042,plain,
    ( sk0_0 = sum(n16,sum(n18,n15))
    | ~ spl0_19
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f41,f9041]) ).

fof(f9043,plain,
    ( sk0_0 = sum(n16,n12)
    | ~ spl0_19
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f439,f9042]) ).

fof(f9044,plain,
    ( sk0_0 = n7
    | ~ spl0_19
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f394,f9043]) ).

fof(f9045,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9044,f497]) ).

fof(f9046,plain,
    ( ~ spl0_19
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f9045]) ).

fof(f9047,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f801,f489]) ).

fof(f9048,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n5))),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f801,f9047]) ).

fof(f9049,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n6)),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f9,f9048]) ).

fof(f9050,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f801,f9049]) ).

fof(f9090,plain,
    ( sk0_0 = sum(pred(sum(n6,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f740,f4681]) ).

fof(f9091,plain,
    ( sk0_0 = sum(pred(n12),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f178,f9090]) ).

fof(f9092,plain,
    ( sk0_0 = sum(n11,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f37,f9091]) ).

fof(f9093,plain,
    ( sk0_0 = sum(n11,sum(n5,pred(sum(n6,n5))))
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f740,f9092]) ).

fof(f9094,plain,
    ( sk0_0 = sum(n11,sum(n5,pred(n11)))
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f177,f9093]) ).

fof(f9095,plain,
    ( sk0_0 = sum(n11,sum(n5,n10))
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f36,f9094]) ).

fof(f9096,plain,
    ( sk0_0 = sum(n11,n15)
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f161,f9095]) ).

fof(f9097,plain,
    ( sk0_0 = n5
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f292,f9096]) ).

fof(f9098,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9097,f495]) ).

fof(f9099,plain,
    ( ~ spl0_6
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f9098]) ).

fof(f9119,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f737,f489]) ).

fof(f9120,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(sk0_2))),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f737,f9119]) ).

fof(f9160,plain,
    ( sk0_0 = sum(pred(sum(n5,n3)),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f737,f6652]) ).

fof(f9161,plain,
    ( sk0_0 = sum(pred(n8),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f154,f9160]) ).

fof(f9162,plain,
    ( sk0_0 = sum(n7,sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f33,f9161]) ).

fof(f9163,plain,
    ( sk0_0 = sum(n7,sum(n2,pred(sum(n5,n2))))
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f737,f9162]) ).

fof(f9164,plain,
    ( sk0_0 = sum(n7,sum(n2,pred(n7)))
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f153,f9163]) ).

fof(f9165,plain,
    ( sk0_0 = sum(n7,sum(n2,n6))
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f32,f9164]) ).

fof(f9166,plain,
    ( sk0_0 = sum(n7,n8)
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f94,f9165]) ).

fof(f9167,plain,
    ( sk0_0 = n15
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f201,f9166]) ).

fof(f9168,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9167,f505]) ).

fof(f9169,plain,
    ( ~ spl0_5
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f9168]) ).

fof(f9195,plain,
    ( sk0_0 = sum(pred(sum(n4,n3)),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f734,f6851]) ).

fof(f9196,plain,
    ( sk0_0 = sum(pred(n7),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f133,f9195]) ).

fof(f9197,plain,
    ( sk0_0 = sum(n6,sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f32,f9196]) ).

fof(f9198,plain,
    ( sk0_0 = sum(n6,sum(n2,pred(sum(n4,n2))))
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f734,f9197]) ).

fof(f9199,plain,
    ( sk0_0 = sum(n6,sum(n2,pred(n6)))
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f132,f9198]) ).

fof(f9200,plain,
    ( sk0_0 = sum(n6,sum(n2,n5))
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f31,f9199]) ).

fof(f9201,plain,
    ( sk0_0 = sum(n6,n7)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f93,f9200]) ).

fof(f9202,plain,
    ( sk0_0 = n13
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f179,f9201]) ).

fof(f9203,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9202,f503]) ).

fof(f9204,plain,
    ( ~ spl0_4
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f9203]) ).

fof(f9205,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f746,f489]) ).

fof(f9206,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(sk0_2))),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f746,f9205]) ).

fof(f9245,plain,
    ( sk0_0 = sum(pred(sum(n8,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f746,f4999]) ).

fof(f9246,plain,
    ( sk0_0 = sum(pred(n12),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f218,f9245]) ).

fof(f9247,plain,
    ( sk0_0 = sum(n11,sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f37,f9246]) ).

fof(f9248,plain,
    ( sk0_0 = sum(n11,sum(n3,pred(sum(n8,n3))))
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f746,f9247]) ).

fof(f9249,plain,
    ( sk0_0 = sum(n11,sum(n3,pred(n11)))
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f217,f9248]) ).

fof(f9250,plain,
    ( sk0_0 = sum(n11,sum(n3,n10))
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f36,f9249]) ).

fof(f9251,plain,
    ( sk0_0 = sum(n11,n13)
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f119,f9250]) ).

fof(f9252,plain,
    ( sk0_0 = n3
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f290,f9251]) ).

fof(f9253,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9252,f493]) ).

fof(f9254,plain,
    ( ~ spl0_8
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f9253]) ).

fof(f9255,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f749,f489]) ).

fof(f9256,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(sk0_2))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f749,f9255]) ).

fof(f9296,plain,
    ( sk0_0 = sum(pred(sum(n9,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_9
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f749,f1985]) ).

fof(f9297,plain,
    ( sk0_0 = sum(pred(n6),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_9
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f253,f9296]) ).

fof(f9298,plain,
    ( sk0_0 = sum(n5,sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_9
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f31,f9297]) ).

fof(f9299,plain,
    ( sk0_0 = sum(n5,sum(n17,pred(sum(n9,n17))))
    | ~ spl0_9
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f749,f9298]) ).

fof(f9300,plain,
    ( sk0_0 = sum(n5,sum(n17,pred(n5)))
    | ~ spl0_9
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f252,f9299]) ).

fof(f9301,plain,
    ( sk0_0 = sum(n5,sum(n17,n4))
    | ~ spl0_9
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f30,f9300]) ).

fof(f9302,plain,
    ( sk0_0 = sum(n5,n0)
    | ~ spl0_9
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f407,f9301]) ).

fof(f9303,plain,
    ( sk0_0 = n5
    | ~ spl0_9
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f151,f9302]) ).

fof(f9304,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9303,f495]) ).

fof(f9305,plain,
    ( ~ spl0_9
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f9304]) ).

fof(f9328,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n14)),sum(n13,pred(sum(n3,n13))))
    | ~ spl0_3
    | ~ spl0_34 ),
    inference(backward_demodulation,[status(thm)],[f731,f3627]) ).

fof(f9329,plain,
    ( sk0_0 = sum(pred(sum(n3,n14)),sum(n13,pred(sum(n3,n13))))
    | ~ spl0_3
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f731,f9328]) ).

fof(f9330,plain,
    ( sk0_0 = sum(pred(n17),sum(n13,pred(sum(n3,n13))))
    | ~ spl0_3
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f123,f9329]) ).

fof(f9331,plain,
    ( sk0_0 = sum(n16,sum(n13,pred(sum(n3,n13))))
    | ~ spl0_3
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f42,f9330]) ).

fof(f9332,plain,
    ( sk0_0 = sum(n16,sum(n13,pred(n16)))
    | ~ spl0_3
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f122,f9331]) ).

fof(f9333,plain,
    ( sk0_0 = sum(n16,sum(n13,n15))
    | ~ spl0_3
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f41,f9332]) ).

fof(f9334,plain,
    ( sk0_0 = sum(n16,n7)
    | ~ spl0_3
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f334,f9333]) ).

fof(f9335,plain,
    ( sk0_0 = n2
    | ~ spl0_3
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f389,f9334]) ).

fof(f9336,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9335,f492]) ).

fof(f9337,plain,
    ( ~ spl0_3
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f9336]) ).

fof(f9362,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n13)),sum(n12,pred(sum(n7,n12))))
    | ~ spl0_7
    | ~ spl0_33 ),
    inference(backward_demodulation,[status(thm)],[f743,f3681]) ).

fof(f9363,plain,
    ( sk0_0 = sum(pred(sum(n7,n13)),sum(n12,pred(sum(n7,n12))))
    | ~ spl0_7
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f743,f9362]) ).

fof(f9364,plain,
    ( sk0_0 = sum(pred(n20),sum(n12,pred(sum(n7,n12))))
    | ~ spl0_7
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f206,f9363]) ).

fof(f9365,plain,
    ( sk0_0 = sum(n19,sum(n12,pred(sum(n7,n12))))
    | ~ spl0_7
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f45,f9364]) ).

fof(f9366,plain,
    ( sk0_0 = sum(n19,sum(n12,pred(n19)))
    | ~ spl0_7
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f205,f9365]) ).

fof(f9367,plain,
    ( sk0_0 = sum(n19,sum(n12,n18))
    | ~ spl0_7
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f44,f9366]) ).

fof(f9368,plain,
    ( sk0_0 = sum(n19,n9)
    | ~ spl0_7
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f316,f9367]) ).

fof(f9369,plain,
    ( sk0_0 = n7
    | ~ spl0_7
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f454,f9368]) ).

fof(f9370,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9369,f497]) ).

fof(f9371,plain,
    ( ~ spl0_7
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f9370]) ).

fof(f9413,plain,
    ( sk0_0 = sum(pred(sum(n2,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f728,f3998]) ).

fof(f9414,plain,
    ( sk0_0 = sum(pred(n6),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f92,f9413]) ).

fof(f9415,plain,
    ( sk0_0 = sum(n5,sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f31,f9414]) ).

fof(f9416,plain,
    ( sk0_0 = sum(n5,sum(n3,pred(sum(n2,n3))))
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f728,f9415]) ).

fof(f9417,plain,
    ( sk0_0 = sum(n5,sum(n3,pred(n5)))
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f91,f9416]) ).

fof(f9418,plain,
    ( sk0_0 = sum(n5,sum(n3,n4))
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f30,f9417]) ).

fof(f9419,plain,
    ( sk0_0 = sum(n5,n7)
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f113,f9418]) ).

fof(f9420,plain,
    ( sk0_0 = n12
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f158,f9419]) ).

fof(f9421,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9420,f502]) ).

fof(f9422,plain,
    ( ~ spl0_2
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f9421]) ).

fof(f9465,plain,
    ( sk0_0 = sum(pred(sum(n15,n20)),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f767,f4053]) ).

fof(f9466,plain,
    ( sk0_0 = sum(pred(n14),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f381,f9465]) ).

fof(f9467,plain,
    ( sk0_0 = sum(n13,sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f39,f9466]) ).

fof(f9468,plain,
    ( sk0_0 = sum(n13,sum(n19,pred(sum(n15,n19))))
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f767,f9467]) ).

fof(f9469,plain,
    ( sk0_0 = sum(n13,sum(n19,pred(n13)))
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f380,f9468]) ).

fof(f9470,plain,
    ( sk0_0 = sum(n13,sum(n19,n12))
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f38,f9469]) ).

fof(f9471,plain,
    ( sk0_0 = sum(n13,n10)
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f457,f9470]) ).

fof(f9472,plain,
    ( sk0_0 = n2
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f329,f9471]) ).

fof(f9473,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9472,f492]) ).

fof(f9474,plain,
    ( ~ spl0_15
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f9473]) ).

fof(f9475,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f755,f489]) ).

fof(f9476,plain,
    ( sk0_0 = sum(pred(sum(n11,succ(sk0_2))),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f755,f9475]) ).

fof(f9497,plain,
    ( sk0_0 = sum(pred(sum(n11,succ(sk0_2))),sum(sk0_2,pred(sum(n11,n15))))
    | ~ spl0_36
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f831,f4946]) ).

fof(f9498,plain,
    ( sk0_0 = sum(pred(sum(n11,succ(n15))),sum(sk0_2,pred(sum(n11,n15))))
    | ~ spl0_36
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f831,f9497]) ).

fof(f9499,plain,
    ( sk0_0 = sum(pred(sum(n11,n16)),sum(sk0_2,pred(sum(n11,n15))))
    | ~ spl0_36
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f19,f9498]) ).

fof(f9500,plain,
    ( sk0_0 = sum(pred(n6),sum(sk0_2,pred(sum(n11,n15))))
    | ~ spl0_36
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f293,f9499]) ).

fof(f9501,plain,
    ( sk0_0 = sum(n5,sum(sk0_2,pred(sum(n11,n15))))
    | ~ spl0_36
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f31,f9500]) ).

fof(f9502,plain,
    ( sk0_0 = sum(n5,sum(n15,pred(sum(n11,n15))))
    | ~ spl0_36
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f831,f9501]) ).

fof(f9503,plain,
    ( sk0_0 = sum(n5,sum(n15,pred(n5)))
    | ~ spl0_36
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f292,f9502]) ).

fof(f9504,plain,
    ( sk0_0 = sum(n5,sum(n15,n4))
    | ~ spl0_36
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f30,f9503]) ).

fof(f9505,plain,
    ( sk0_0 = sum(n5,n19)
    | ~ spl0_36
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f365,f9504]) ).

fof(f9506,plain,
    ( sk0_0 = n3
    | ~ spl0_36
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f170,f9505]) ).

fof(f9507,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9506,f493]) ).

fof(f9508,plain,
    ( ~ spl0_36
    | ~ spl0_11 ),
    inference(contradiction_clause,[status(thm)],[f9507]) ).

fof(f9528,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f798,f489]) ).

fof(f9529,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n4))),sum(sk0_2,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f798,f9528]) ).

fof(f9530,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n5)),sum(sk0_2,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f8,f9529]) ).

fof(f9531,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f798,f9530]) ).

fof(f9571,plain,
    ( sk0_0 = sum(pred(sum(n3,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f731,f8013]) ).

fof(f9572,plain,
    ( sk0_0 = sum(pred(n8),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f114,f9571]) ).

fof(f9573,plain,
    ( sk0_0 = sum(n7,sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f33,f9572]) ).

fof(f9574,plain,
    ( sk0_0 = sum(n7,sum(n4,pred(sum(n3,n4))))
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f731,f9573]) ).

fof(f9575,plain,
    ( sk0_0 = sum(n7,sum(n4,pred(n7)))
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f113,f9574]) ).

fof(f9576,plain,
    ( sk0_0 = sum(n7,sum(n4,n6))
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f32,f9575]) ).

fof(f9577,plain,
    ( sk0_0 = sum(n7,n10)
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f136,f9576]) ).

fof(f9578,plain,
    ( sk0_0 = n17
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f203,f9577]) ).

fof(f9579,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9578,f507]) ).

fof(f9580,plain,
    ( ~ spl0_3
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f9579]) ).

fof(f9599,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f786,f489]) ).

fof(f9600,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n0))),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f9599]) ).

fof(f9601,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f4,f9600]) ).

fof(f9602,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f9601]) ).

fof(f9642,plain,
    ( sk0_0 = sum(pred(sum(n7,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f743,f4537]) ).

fof(f9643,plain,
    ( sk0_0 = sum(pred(n8),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f194,f9642]) ).

fof(f9644,plain,
    ( sk0_0 = sum(n7,sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f33,f9643]) ).

fof(f9645,plain,
    ( sk0_0 = sum(n7,sum(n0,pred(sum(n7,n0))))
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f743,f9644]) ).

fof(f9646,plain,
    ( sk0_0 = sum(n7,sum(n0,pred(n7)))
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f193,f9645]) ).

fof(f9647,plain,
    ( sk0_0 = sum(n7,sum(n0,n6))
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f32,f9646]) ).

fof(f9648,plain,
    ( sk0_0 = sum(n7,n6)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f52,f9647]) ).

fof(f9649,plain,
    ( sk0_0 = n13
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f199,f9648]) ).

fof(f9650,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9649,f503]) ).

fof(f9651,plain,
    ( ~ spl0_7
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f9650]) ).

fof(f9652,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f828,f489]) ).

fof(f9653,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n14))),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f828,f9652]) ).

fof(f9654,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f18,f9653]) ).

fof(f9655,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f828,f9654]) ).

fof(f9695,plain,
    ( sk0_0 = sum(pred(sum(n3,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_3
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f731,f8557]) ).

fof(f9696,plain,
    ( sk0_0 = sum(pred(n18),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_3
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f124,f9695]) ).

fof(f9697,plain,
    ( sk0_0 = sum(n17,sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_3
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f43,f9696]) ).

fof(f9698,plain,
    ( sk0_0 = sum(n17,sum(n14,pred(sum(n3,n14))))
    | ~ spl0_3
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f731,f9697]) ).

fof(f9699,plain,
    ( sk0_0 = sum(n17,sum(n14,pred(n17)))
    | ~ spl0_3
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f123,f9698]) ).

fof(f9700,plain,
    ( sk0_0 = sum(n17,sum(n14,n16))
    | ~ spl0_3
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f42,f9699]) ).

fof(f9701,plain,
    ( sk0_0 = sum(n17,n9)
    | ~ spl0_3
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f356,f9700]) ).

fof(f9702,plain,
    ( sk0_0 = n5
    | ~ spl0_3
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f412,f9701]) ).

fof(f9703,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9702,f495]) ).

fof(f9704,plain,
    ( ~ spl0_3
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f9703]) ).

fof(f9730,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n2)),sum(n1,pred(sum(n7,n1))))
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f743,f3768]) ).

fof(f9731,plain,
    ( sk0_0 = sum(pred(sum(n7,n2)),sum(n1,pred(sum(n7,n1))))
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f743,f9730]) ).

fof(f9732,plain,
    ( sk0_0 = sum(pred(n9),sum(n1,pred(sum(n7,n1))))
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f195,f9731]) ).

fof(f9733,plain,
    ( sk0_0 = sum(n8,sum(n1,pred(sum(n7,n1))))
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f34,f9732]) ).

fof(f9734,plain,
    ( sk0_0 = sum(n8,sum(n1,pred(n8)))
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f194,f9733]) ).

fof(f9735,plain,
    ( sk0_0 = sum(n8,sum(n1,n7))
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f33,f9734]) ).

fof(f9736,plain,
    ( sk0_0 = sum(n8,n8)
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f74,f9735]) ).

fof(f9737,plain,
    ( sk0_0 = n16
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f222,f9736]) ).

fof(f9738,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9737,f506]) ).

fof(f9739,plain,
    ( ~ spl0_7
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f9738]) ).

fof(f9740,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(backward_demodulation,[status(thm)],[f810,f489]) ).

fof(f9741,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n8))),sum(sk0_2,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f810,f9740]) ).

fof(f9742,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(sk0_2,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f12,f9741]) ).

fof(f9743,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f810,f9742]) ).

fof(f9764,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(n8,pred(sum(n10,n8))))
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(backward_demodulation,[status(thm)],[f752,f3358]) ).

fof(f9765,plain,
    ( sk0_0 = sum(pred(sum(n10,n9)),sum(n8,pred(sum(n10,n8))))
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f752,f9764]) ).

fof(f9766,plain,
    ( sk0_0 = sum(pred(n19),sum(n8,pred(sum(n10,n8))))
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f265,f9765]) ).

fof(f9767,plain,
    ( sk0_0 = sum(n18,sum(n8,pred(sum(n10,n8))))
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f44,f9766]) ).

fof(f9768,plain,
    ( sk0_0 = sum(n18,sum(n8,pred(n18)))
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f264,f9767]) ).

fof(f9769,plain,
    ( sk0_0 = sum(n18,sum(n8,n17))
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f43,f9768]) ).

fof(f9770,plain,
    ( sk0_0 = sum(n18,n4)
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f231,f9769]) ).

fof(f9771,plain,
    ( sk0_0 = n1
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f428,f9770]) ).

fof(f9772,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9771,f491]) ).

fof(f9773,plain,
    ( ~ spl0_10
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f9772]) ).

fof(f9813,plain,
    ( sk0_0 = sum(pred(sum(n3,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_3
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f731,f8716]) ).

fof(f9814,plain,
    ( sk0_0 = sum(pred(n13),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_3
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f119,f9813]) ).

fof(f9815,plain,
    ( sk0_0 = sum(n12,sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_3
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f38,f9814]) ).

fof(f9816,plain,
    ( sk0_0 = sum(n12,sum(n9,pred(sum(n3,n9))))
    | ~ spl0_3
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f731,f9815]) ).

fof(f9817,plain,
    ( sk0_0 = sum(n12,sum(n9,pred(n12)))
    | ~ spl0_3
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f118,f9816]) ).

fof(f9818,plain,
    ( sk0_0 = sum(n12,sum(n9,n11))
    | ~ spl0_3
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f37,f9817]) ).

fof(f9819,plain,
    ( sk0_0 = sum(n12,n20)
    | ~ spl0_3
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f246,f9818]) ).

fof(f9820,plain,
    ( sk0_0 = n11
    | ~ spl0_3
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f318,f9819]) ).

fof(f9821,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9820,f501]) ).

fof(f9822,plain,
    ( ~ spl0_3
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f9821]) ).

fof(f9842,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f816,f489]) ).

fof(f9843,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n10))),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f816,f9842]) ).

fof(f9844,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n11)),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f14,f9843]) ).

fof(f9845,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f816,f9844]) ).

fof(f9885,plain,
    ( sk0_0 = sum(pred(sum(n7,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f743,f4483]) ).

fof(f9886,plain,
    ( sk0_0 = sum(pred(n18),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f204,f9885]) ).

fof(f9887,plain,
    ( sk0_0 = sum(n17,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f43,f9886]) ).

fof(f9888,plain,
    ( sk0_0 = sum(n17,sum(n10,pred(sum(n7,n10))))
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f743,f9887]) ).

fof(f9889,plain,
    ( sk0_0 = sum(n17,sum(n10,pred(n17)))
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f203,f9888]) ).

fof(f9890,plain,
    ( sk0_0 = sum(n17,sum(n10,n16))
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f42,f9889]) ).

fof(f9891,plain,
    ( sk0_0 = sum(n17,n5)
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f272,f9890]) ).

fof(f9892,plain,
    ( sk0_0 = n1
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f408,f9891]) ).

fof(f9893,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9892,f491]) ).

fof(f9894,plain,
    ( ~ spl0_7
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f9893]) ).

fof(f9895,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(backward_demodulation,[status(thm)],[f819,f489]) ).

fof(f9896,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n11))),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f819,f9895]) ).

fof(f9897,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n12)),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f15,f9896]) ).

fof(f9898,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f819,f9897]) ).

fof(f9938,plain,
    ( sk0_0 = sum(pred(sum(n3,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_3
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f731,f3411]) ).

fof(f9939,plain,
    ( sk0_0 = sum(pred(n15),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_3
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f121,f9938]) ).

fof(f9940,plain,
    ( sk0_0 = sum(n14,sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_3
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f40,f9939]) ).

fof(f9941,plain,
    ( sk0_0 = sum(n14,sum(n11,pred(sum(n3,n11))))
    | ~ spl0_3
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f731,f9940]) ).

fof(f9942,plain,
    ( sk0_0 = sum(n14,sum(n11,pred(n14)))
    | ~ spl0_3
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f120,f9941]) ).

fof(f9943,plain,
    ( sk0_0 = sum(n14,sum(n11,n13))
    | ~ spl0_3
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f39,f9942]) ).

fof(f9944,plain,
    ( sk0_0 = sum(n14,n3)
    | ~ spl0_3
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f290,f9943]) ).

fof(f9945,plain,
    ( sk0_0 = n17
    | ~ spl0_3
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f343,f9944]) ).

fof(f9946,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9945,f507]) ).

fof(f9947,plain,
    ( ~ spl0_3
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f9946]) ).

fof(f9948,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n6))))
    | ~ spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f804,f489]) ).

fof(f9949,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n6))),sum(sk0_2,pred(sum(sk0_1,n6))))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f804,f9948]) ).

fof(f9950,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n7)),sum(sk0_2,pred(sum(sk0_1,n6))))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f10,f9949]) ).

fof(f9951,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n7)),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f804,f9950]) ).

fof(f9991,plain,
    ( sk0_0 = sum(pred(sum(n7,n7)),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_7
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f743,f8856]) ).

fof(f9992,plain,
    ( sk0_0 = sum(pred(n14),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_7
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f200,f9991]) ).

fof(f9993,plain,
    ( sk0_0 = sum(n13,sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_7
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f39,f9992]) ).

fof(f9994,plain,
    ( sk0_0 = sum(n13,sum(n6,pred(sum(n7,n6))))
    | ~ spl0_7
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f743,f9993]) ).

fof(f9995,plain,
    ( sk0_0 = sum(n13,sum(n6,pred(n13)))
    | ~ spl0_7
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f199,f9994]) ).

fof(f9996,plain,
    ( sk0_0 = sum(n13,sum(n6,n12))
    | ~ spl0_7
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f38,f9995]) ).

fof(f9997,plain,
    ( sk0_0 = sum(n13,n18)
    | ~ spl0_7
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f184,f9996]) ).

fof(f9998,plain,
    ( sk0_0 = n10
    | ~ spl0_7
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f337,f9997]) ).

fof(f9999,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9998,f500]) ).

fof(f10000,plain,
    ( ~ spl0_7
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f9999]) ).

fof(f10001,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f807,f489]) ).

fof(f10002,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n7))),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f807,f10001]) ).

fof(f10003,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f11,f10002]) ).

fof(f10004,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f807,f10003]) ).

fof(f10044,plain,
    ( sk0_0 = sum(pred(sum(n3,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_3
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f731,f8946]) ).

fof(f10045,plain,
    ( sk0_0 = sum(pred(n11),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_3
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f117,f10044]) ).

fof(f10046,plain,
    ( sk0_0 = sum(n10,sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_3
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f36,f10045]) ).

fof(f10047,plain,
    ( sk0_0 = sum(n10,sum(n7,pred(sum(n3,n7))))
    | ~ spl0_3
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f731,f10046]) ).

fof(f10048,plain,
    ( sk0_0 = sum(n10,sum(n7,pred(n10)))
    | ~ spl0_3
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f116,f10047]) ).

fof(f10049,plain,
    ( sk0_0 = sum(n10,sum(n7,n9))
    | ~ spl0_3
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f35,f10048]) ).

fof(f10050,plain,
    ( sk0_0 = sum(n10,n16)
    | ~ spl0_3
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f202,f10049]) ).

fof(f10051,plain,
    ( sk0_0 = n5
    | ~ spl0_3
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f272,f10050]) ).

fof(f10052,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10051,f495]) ).

fof(f10053,plain,
    ( ~ spl0_3
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f10052]) ).

fof(f10054,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(backward_demodulation,[status(thm)],[f840,f489]) ).

fof(f10055,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n18))),sum(sk0_2,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f840,f10054]) ).

fof(f10056,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(sk0_2,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f22,f10055]) ).

fof(f10057,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f840,f10056]) ).

fof(f10078,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(n18,pred(sum(n1,n18))))
    | ~ spl0_1
    | ~ spl0_39 ),
    inference(backward_demodulation,[status(thm)],[f725,f8999]) ).

fof(f10079,plain,
    ( sk0_0 = sum(pred(sum(n1,n19)),sum(n18,pred(sum(n1,n18))))
    | ~ spl0_1
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f725,f10078]) ).

fof(f10080,plain,
    ( sk0_0 = sum(pred(n20),sum(n18,pred(sum(n1,n18))))
    | ~ spl0_1
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f86,f10079]) ).

fof(f10081,plain,
    ( sk0_0 = sum(n19,sum(n18,pred(sum(n1,n18))))
    | ~ spl0_1
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f45,f10080]) ).

fof(f10082,plain,
    ( sk0_0 = sum(n19,sum(n18,pred(n19)))
    | ~ spl0_1
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f85,f10081]) ).

fof(f10083,plain,
    ( sk0_0 = sum(n19,sum(n18,n18))
    | ~ spl0_1
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f44,f10082]) ).

fof(f10084,plain,
    ( sk0_0 = sum(n19,n15)
    | ~ spl0_1
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f442,f10083]) ).

fof(f10085,plain,
    ( sk0_0 = n13
    | ~ spl0_1
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f460,f10084]) ).

fof(f10086,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10085,f503]) ).

fof(f10087,plain,
    ( ~ spl0_1
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f10086]) ).

fof(f10109,plain,
    ( sk0_0 = sum(pred(sum(n1,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f725,f5968]) ).

fof(f10110,plain,
    ( sk0_0 = sum(pred(n7),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f73,f10109]) ).

fof(f10111,plain,
    ( sk0_0 = sum(n6,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f32,f10110]) ).

fof(f10112,plain,
    ( sk0_0 = sum(n6,sum(n5,pred(sum(n1,n5))))
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f725,f10111]) ).

fof(f10113,plain,
    ( sk0_0 = sum(n6,sum(n5,pred(n6)))
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f72,f10112]) ).

fof(f10114,plain,
    ( sk0_0 = sum(n6,sum(n5,n5))
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f31,f10113]) ).

fof(f10115,plain,
    ( sk0_0 = sum(n6,n10)
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f156,f10114]) ).

fof(f10116,plain,
    ( sk0_0 = n16
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f182,f10115]) ).

fof(f10117,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10116,f506]) ).

fof(f10118,plain,
    ( ~ spl0_1
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f10117]) ).

fof(f10119,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f737,f489]) ).

fof(f10120,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(sk0_2))),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f737,f10119]) ).

fof(f10160,plain,
    ( sk0_0 = sum(pred(sum(n5,n20)),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_5
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f737,f4053]) ).

fof(f10161,plain,
    ( sk0_0 = sum(pred(n4),sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_5
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f171,f10160]) ).

fof(f10162,plain,
    ( sk0_0 = sum(n3,sum(n19,pred(sum(sk0_1,n19))))
    | ~ spl0_5
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f29,f10161]) ).

fof(f10163,plain,
    ( sk0_0 = sum(n3,sum(n19,pred(sum(n5,n19))))
    | ~ spl0_5
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f737,f10162]) ).

fof(f10164,plain,
    ( sk0_0 = sum(n3,sum(n19,pred(n3)))
    | ~ spl0_5
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f170,f10163]) ).

fof(f10165,plain,
    ( sk0_0 = sum(n3,sum(n19,n2))
    | ~ spl0_5
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f28,f10164]) ).

fof(f10166,plain,
    ( sk0_0 = sum(n3,n0)
    | ~ spl0_5
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f447,f10165]) ).

fof(f10167,plain,
    ( sk0_0 = n3
    | ~ spl0_5
    | ~ spl0_40 ),
    inference(forward_demodulation,[status(thm)],[f109,f10166]) ).

fof(f10168,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10167,f493]) ).

fof(f10169,plain,
    ( ~ spl0_5
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f10168]) ).

fof(f10170,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n4,sk0_2))))
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f734,f489]) ).

fof(f10171,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(sk0_2))),sum(sk0_2,pred(sum(n4,sk0_2))))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f734,f10170]) ).

fof(f10211,plain,
    ( sk0_0 = sum(pred(sum(n4,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f734,f3982]) ).

fof(f10212,plain,
    ( sk0_0 = sum(pred(n1),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f148,f10211]) ).

fof(f10213,plain,
    ( sk0_0 = sum(n0,sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f26,f10212]) ).

fof(f10214,plain,
    ( sk0_0 = sum(n0,sum(n17,pred(sum(n4,n17))))
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f734,f10213]) ).

fof(f10215,plain,
    ( sk0_0 = sum(n0,sum(n17,pred(n0)))
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f147,f10214]) ).

fof(f10216,plain,
    ( sk0_0 = sum(n0,sum(n17,n20))
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f25,f10215]) ).

fof(f10217,plain,
    ( sk0_0 = sum(n0,n16)
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f423,f10216]) ).

fof(f10218,plain,
    ( sk0_0 = n16
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f62,f10217]) ).

fof(f10219,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10218,f506]) ).

fof(f10220,plain,
    ( ~ spl0_4
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f10219]) ).

fof(f10221,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f746,f489]) ).

fof(f10222,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(sk0_2))),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f746,f10221]) ).

fof(f10243,plain,
    ( sk0_0 = sum(pred(sum(n8,n3)),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f746,f4792]) ).

fof(f10244,plain,
    ( sk0_0 = sum(pred(n11),sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f217,f10243]) ).

fof(f10245,plain,
    ( sk0_0 = sum(n10,sum(n2,pred(sum(sk0_1,n2))))
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f36,f10244]) ).

fof(f10246,plain,
    ( sk0_0 = sum(n10,sum(n2,pred(sum(n8,n2))))
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f746,f10245]) ).

fof(f10247,plain,
    ( sk0_0 = sum(n10,sum(n2,pred(n10)))
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f216,f10246]) ).

fof(f10248,plain,
    ( sk0_0 = sum(n10,sum(n2,n9))
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f35,f10247]) ).

fof(f10249,plain,
    ( sk0_0 = sum(n10,n11)
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f97,f10248]) ).

fof(f10250,plain,
    ( sk0_0 = n0
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f267,f10249]) ).

fof(f10251,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10250,f490]) ).

fof(f10252,plain,
    ( ~ spl0_8
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f10251]) ).

fof(f10253,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f749,f489]) ).

fof(f10254,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(sk0_2))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f749,f10253]) ).

fof(f10294,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(n19))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_40
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f843,f8240]) ).

fof(f10295,plain,
    ( sk0_0 = sum(pred(sum(n9,n20)),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_40
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f23,f10294]) ).

fof(f10296,plain,
    ( sk0_0 = sum(pred(n8),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_40
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f255,f10295]) ).

fof(f10297,plain,
    ( sk0_0 = sum(n7,sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_40
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f33,f10296]) ).

fof(f10298,plain,
    ( sk0_0 = sum(n7,sum(n19,pred(sum(n9,sk0_2))))
    | ~ spl0_40
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f843,f10297]) ).

fof(f10299,plain,
    ( sk0_0 = sum(n7,sum(n19,pred(sum(n9,n19))))
    | ~ spl0_40
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f843,f10298]) ).

fof(f10300,plain,
    ( sk0_0 = sum(n7,sum(n19,pred(n7)))
    | ~ spl0_40
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f254,f10299]) ).

fof(f10301,plain,
    ( sk0_0 = sum(n7,sum(n19,n6))
    | ~ spl0_40
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f32,f10300]) ).

fof(f10302,plain,
    ( sk0_0 = sum(n7,n4)
    | ~ spl0_40
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f451,f10301]) ).

fof(f10303,plain,
    ( sk0_0 = n11
    | ~ spl0_40
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f197,f10302]) ).

fof(f10304,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10303,f501]) ).

fof(f10305,plain,
    ( ~ spl0_40
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f10304]) ).

fof(f10345,plain,
    ( sk0_0 = sum(pred(sum(n7,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_7
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f743,f8327]) ).

fof(f10346,plain,
    ( sk0_0 = sum(pred(n0),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_7
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f207,f10345]) ).

fof(f10347,plain,
    ( sk0_0 = sum(n20,sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_7
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f25,f10346]) ).

fof(f10348,plain,
    ( sk0_0 = sum(n20,sum(n13,pred(sum(n7,n13))))
    | ~ spl0_7
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f743,f10347]) ).

fof(f10349,plain,
    ( sk0_0 = sum(n20,sum(n13,pred(n20)))
    | ~ spl0_7
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f206,f10348]) ).

fof(f10350,plain,
    ( sk0_0 = sum(n20,sum(n13,n19))
    | ~ spl0_7
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f45,f10349]) ).

fof(f10351,plain,
    ( sk0_0 = sum(n20,n11)
    | ~ spl0_7
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f338,f10350]) ).

fof(f10352,plain,
    ( sk0_0 = n10
    | ~ spl0_7
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f477,f10351]) ).

fof(f10353,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10352,f500]) ).

fof(f10354,plain,
    ( ~ spl0_7
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f10353]) ).

fof(f10398,plain,
    ( sk0_0 = sum(pred(sum(n3,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_3
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f731,f7762]) ).

fof(f10399,plain,
    ( sk0_0 = sum(pred(n16),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_3
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f122,f10398]) ).

fof(f10400,plain,
    ( sk0_0 = sum(n15,sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_3
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f41,f10399]) ).

fof(f10401,plain,
    ( sk0_0 = sum(n15,sum(n12,pred(sum(n3,n12))))
    | ~ spl0_3
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f731,f10400]) ).

fof(f10402,plain,
    ( sk0_0 = sum(n15,sum(n12,pred(n15)))
    | ~ spl0_3
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f121,f10401]) ).

fof(f10403,plain,
    ( sk0_0 = sum(n15,sum(n12,n14))
    | ~ spl0_3
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f40,f10402]) ).

fof(f10404,plain,
    ( sk0_0 = sum(n15,n5)
    | ~ spl0_3
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f312,f10403]) ).

fof(f10405,plain,
    ( sk0_0 = n20
    | ~ spl0_3
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f366,f10404]) ).

fof(f10406,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10405,f510]) ).

fof(f10407,plain,
    ( ~ spl0_3
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f10406]) ).

fof(f10467,plain,
    ( sk0_0 = sum(pred(sum(n2,n16)),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_2
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f728,f1173]) ).

fof(f10468,plain,
    ( sk0_0 = sum(pred(n18),sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_2
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f104,f10467]) ).

fof(f10469,plain,
    ( sk0_0 = sum(n17,sum(n15,pred(sum(sk0_1,n15))))
    | ~ spl0_2
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f43,f10468]) ).

fof(f10470,plain,
    ( sk0_0 = sum(n17,sum(n15,pred(sum(n2,n15))))
    | ~ spl0_2
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f728,f10469]) ).

fof(f10471,plain,
    ( sk0_0 = sum(n17,sum(n15,pred(n17)))
    | ~ spl0_2
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f103,f10470]) ).

fof(f10472,plain,
    ( sk0_0 = sum(n17,sum(n15,n16))
    | ~ spl0_2
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f42,f10471]) ).

fof(f10473,plain,
    ( sk0_0 = sum(n17,n10)
    | ~ spl0_2
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f377,f10472]) ).

fof(f10474,plain,
    ( sk0_0 = n6
    | ~ spl0_2
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f413,f10473]) ).

fof(f10475,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10474,f496]) ).

fof(f10476,plain,
    ( ~ spl0_2
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f10475]) ).

fof(f10519,plain,
    ( sk0_0 = sum(pred(sum(n11,succ(n20))),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_41
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f846,f9476]) ).

fof(f10520,plain,
    ( sk0_0 = sum(pred(sum(n11,n0)),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_41
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f24,f10519]) ).

fof(f10521,plain,
    ( sk0_0 = sum(pred(n11),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_41
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f277,f10520]) ).

fof(f10522,plain,
    ( sk0_0 = sum(n10,sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_41
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f36,f10521]) ).

fof(f10523,plain,
    ( sk0_0 = sum(n10,sum(n20,pred(sum(n11,sk0_2))))
    | ~ spl0_41
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f846,f10522]) ).

fof(f10524,plain,
    ( sk0_0 = sum(n10,sum(n20,pred(sum(n11,n20))))
    | ~ spl0_41
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f846,f10523]) ).

fof(f10525,plain,
    ( sk0_0 = sum(n10,sum(n20,pred(n10)))
    | ~ spl0_41
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f297,f10524]) ).

fof(f10526,plain,
    ( sk0_0 = sum(n10,sum(n20,n9))
    | ~ spl0_41
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f35,f10525]) ).

fof(f10527,plain,
    ( sk0_0 = sum(n10,n8)
    | ~ spl0_41
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f475,f10526]) ).

fof(f10528,plain,
    ( sk0_0 = n18
    | ~ spl0_41
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f264,f10527]) ).

fof(f10529,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10528,f508]) ).

fof(f10530,plain,
    ( ~ spl0_41
    | ~ spl0_11 ),
    inference(contradiction_clause,[status(thm)],[f10529]) ).

fof(f10554,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n5)),sum(n4,pred(sum(n7,n4))))
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f743,f5759]) ).

fof(f10555,plain,
    ( sk0_0 = sum(pred(sum(n7,n5)),sum(n4,pred(sum(n7,n4))))
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f743,f10554]) ).

fof(f10556,plain,
    ( sk0_0 = sum(pred(n12),sum(n4,pred(sum(n7,n4))))
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f198,f10555]) ).

fof(f10557,plain,
    ( sk0_0 = sum(n11,sum(n4,pred(sum(n7,n4))))
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f37,f10556]) ).

fof(f10558,plain,
    ( sk0_0 = sum(n11,sum(n4,pred(n11)))
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f197,f10557]) ).

fof(f10559,plain,
    ( sk0_0 = sum(n11,sum(n4,n10))
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f36,f10558]) ).

fof(f10560,plain,
    ( sk0_0 = sum(n11,n14)
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f140,f10559]) ).

fof(f10561,plain,
    ( sk0_0 = n4
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f291,f10560]) ).

fof(f10562,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10561,f494]) ).

fof(f10563,plain,
    ( ~ spl0_7
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f10562]) ).

fof(f10581,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f786,f489]) ).

fof(f10582,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n0))),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f10581]) ).

fof(f10583,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f4,f10582]) ).

fof(f10584,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f10583]) ).

fof(f10624,plain,
    ( sk0_0 = sum(pred(sum(n10,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f752,f9602]) ).

fof(f10625,plain,
    ( sk0_0 = sum(pred(n11),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f257,f10624]) ).

fof(f10626,plain,
    ( sk0_0 = sum(n10,sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f36,f10625]) ).

fof(f10627,plain,
    ( sk0_0 = sum(n10,sum(n0,pred(sum(n10,n0))))
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f752,f10626]) ).

fof(f10628,plain,
    ( sk0_0 = sum(n10,sum(n0,pred(n10)))
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f256,f10627]) ).

fof(f10629,plain,
    ( sk0_0 = sum(n10,sum(n0,n9))
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f35,f10628]) ).

fof(f10630,plain,
    ( sk0_0 = sum(n10,n9)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f55,f10629]) ).

fof(f10631,plain,
    ( sk0_0 = n19
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f265,f10630]) ).

fof(f10632,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10631,f509]) ).

fof(f10633,plain,
    ( ~ spl0_10
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f10632]) ).

fof(f10696,plain,
    ( sk0_0 = sum(pred(sum(n7,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_7
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f743,f3518]) ).

fof(f10697,plain,
    ( sk0_0 = sum(pred(n1),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_7
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f208,f10696]) ).

fof(f10698,plain,
    ( sk0_0 = sum(n0,sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_7
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f26,f10697]) ).

fof(f10699,plain,
    ( sk0_0 = sum(n0,sum(n14,pred(sum(n7,n14))))
    | ~ spl0_7
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f743,f10698]) ).

fof(f10700,plain,
    ( sk0_0 = sum(n0,sum(n14,pred(n0)))
    | ~ spl0_7
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f207,f10699]) ).

fof(f10701,plain,
    ( sk0_0 = sum(n0,sum(n14,n20))
    | ~ spl0_7
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f25,f10700]) ).

fof(f10702,plain,
    ( sk0_0 = sum(n0,n13)
    | ~ spl0_7
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f360,f10701]) ).

fof(f10703,plain,
    ( sk0_0 = n13
    | ~ spl0_7
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f59,f10702]) ).

fof(f10704,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10703,f503]) ).

fof(f10705,plain,
    ( ~ spl0_7
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f10704]) ).

fof(f10730,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n2)),sum(n1,pred(sum(n3,n1))))
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f731,f8610]) ).

fof(f10731,plain,
    ( sk0_0 = sum(pred(sum(n3,n2)),sum(n1,pred(sum(n3,n1))))
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f731,f10730]) ).

fof(f10732,plain,
    ( sk0_0 = sum(pred(n5),sum(n1,pred(sum(n3,n1))))
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f111,f10731]) ).

fof(f10733,plain,
    ( sk0_0 = sum(n4,sum(n1,pred(sum(n3,n1))))
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f30,f10732]) ).

fof(f10734,plain,
    ( sk0_0 = sum(n4,sum(n1,pred(n4)))
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f110,f10733]) ).

fof(f10735,plain,
    ( sk0_0 = sum(n4,sum(n1,n3))
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f29,f10734]) ).

fof(f10736,plain,
    ( sk0_0 = sum(n4,n4)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f70,f10735]) ).

fof(f10737,plain,
    ( sk0_0 = n8
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f134,f10736]) ).

fof(f10738,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10737,f498]) ).

fof(f10739,plain,
    ( ~ spl0_3
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f10738]) ).

fof(f10778,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(n8))),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f810,f5182]) ).

fof(f10779,plain,
    ( sk0_0 = sum(pred(sum(n15,n9)),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f12,f10778]) ).

fof(f10780,plain,
    ( sk0_0 = sum(pred(n3),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f370,f10779]) ).

fof(f10781,plain,
    ( sk0_0 = sum(n2,sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f28,f10780]) ).

fof(f10782,plain,
    ( sk0_0 = sum(n2,sum(n8,pred(sum(n15,sk0_2))))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f810,f10781]) ).

fof(f10783,plain,
    ( sk0_0 = sum(n2,sum(n8,pred(sum(n15,n8))))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f810,f10782]) ).

fof(f10784,plain,
    ( sk0_0 = sum(n2,sum(n8,pred(n2)))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f369,f10783]) ).

fof(f10785,plain,
    ( sk0_0 = sum(n2,sum(n8,n1))
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f27,f10784]) ).

fof(f10786,plain,
    ( sk0_0 = sum(n2,n9)
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f215,f10785]) ).

fof(f10787,plain,
    ( sk0_0 = n11
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f97,f10786]) ).

fof(f10788,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10787,f501]) ).

fof(f10789,plain,
    ( ~ spl0_29
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f10788]) ).

fof(f10790,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n8))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f810,f489]) ).

fof(f10791,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f12,f10790]) ).

fof(f10792,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(n8,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f810,f10791]) ).

fof(f10793,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f810,f10792]) ).

fof(f10795,plain,
    ( sk0_0 = sum(pred(sum(n3,succ(n8))),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f810,f1122]) ).

fof(f10796,plain,
    ( sk0_0 = sum(pred(sum(n3,n9)),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f12,f10795]) ).

fof(f10797,plain,
    ( sk0_0 = sum(pred(n12),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f118,f10796]) ).

fof(f10798,plain,
    ( sk0_0 = sum(n11,sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f37,f10797]) ).

fof(f10799,plain,
    ( sk0_0 = sum(n11,sum(n8,pred(sum(n3,sk0_2))))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f810,f10798]) ).

fof(f10800,plain,
    ( sk0_0 = sum(n11,sum(n8,pred(sum(n3,n8))))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f810,f10799]) ).

fof(f10801,plain,
    ( sk0_0 = sum(n11,sum(n8,pred(n11)))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f117,f10800]) ).

fof(f10802,plain,
    ( sk0_0 = sum(n11,sum(n8,n10))
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f36,f10801]) ).

fof(f10803,plain,
    ( sk0_0 = sum(n11,n18)
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f224,f10802]) ).

fof(f10804,plain,
    ( sk0_0 = n8
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f295,f10803]) ).

fof(f10805,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10804,f498]) ).

fof(f10806,plain,
    ( ~ spl0_29
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f10805]) ).

fof(f10831,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n10)),sum(n9,pred(sum(n1,n9))))
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f725,f3289]) ).

fof(f10832,plain,
    ( sk0_0 = sum(pred(sum(n1,n10)),sum(n9,pred(sum(n1,n9))))
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f725,f10831]) ).

fof(f10833,plain,
    ( sk0_0 = sum(pred(n11),sum(n9,pred(sum(n1,n9))))
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f77,f10832]) ).

fof(f10834,plain,
    ( sk0_0 = sum(n10,sum(n9,pred(sum(n1,n9))))
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f36,f10833]) ).

fof(f10835,plain,
    ( sk0_0 = sum(n10,sum(n9,pred(n10)))
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f76,f10834]) ).

fof(f10836,plain,
    ( sk0_0 = sum(n10,sum(n9,n9))
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f35,f10835]) ).

fof(f10837,plain,
    ( sk0_0 = sum(n10,n18)
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f244,f10836]) ).

fof(f10838,plain,
    ( sk0_0 = n7
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f274,f10837]) ).

fof(f10839,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10838,f497]) ).

fof(f10840,plain,
    ( ~ spl0_1
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f10839]) ).

fof(f10841,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f816,f489]) ).

fof(f10842,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n10))),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f816,f10841]) ).

fof(f10843,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n11)),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f14,f10842]) ).

fof(f10844,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f816,f10843]) ).

fof(f10884,plain,
    ( sk0_0 = sum(pred(sum(n16,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f770,f3465]) ).

fof(f10885,plain,
    ( sk0_0 = sum(pred(n6),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f393,f10884]) ).

fof(f10886,plain,
    ( sk0_0 = sum(n5,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f31,f10885]) ).

fof(f10887,plain,
    ( sk0_0 = sum(n5,sum(n10,pred(sum(n16,n10))))
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f770,f10886]) ).

fof(f10888,plain,
    ( sk0_0 = sum(n5,sum(n10,pred(n5)))
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f392,f10887]) ).

fof(f10889,plain,
    ( sk0_0 = sum(n5,sum(n10,n4))
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f30,f10888]) ).

fof(f10890,plain,
    ( sk0_0 = sum(n5,n14)
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f260,f10889]) ).

fof(f10891,plain,
    ( sk0_0 = n19
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f165,f10890]) ).

fof(f10892,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10891,f509]) ).

fof(f10893,plain,
    ( ~ spl0_16
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f10892]) ).

fof(f10894,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(backward_demodulation,[status(thm)],[f819,f489]) ).

fof(f10895,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n11))),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f819,f10894]) ).

fof(f10896,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n12)),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f15,f10895]) ).

fof(f10897,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f819,f10896]) ).

fof(f10937,plain,
    ( sk0_0 = sum(pred(sum(n7,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_7
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f743,f9898]) ).

fof(f10938,plain,
    ( sk0_0 = sum(pred(n19),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_7
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f205,f10937]) ).

fof(f10939,plain,
    ( sk0_0 = sum(n18,sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_7
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f44,f10938]) ).

fof(f10940,plain,
    ( sk0_0 = sum(n18,sum(n11,pred(sum(n7,n11))))
    | ~ spl0_7
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f743,f10939]) ).

fof(f10941,plain,
    ( sk0_0 = sum(n18,sum(n11,pred(n18)))
    | ~ spl0_7
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f204,f10940]) ).

fof(f10942,plain,
    ( sk0_0 = sum(n18,sum(n11,n17))
    | ~ spl0_7
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f43,f10941]) ).

fof(f10943,plain,
    ( sk0_0 = sum(n18,n7)
    | ~ spl0_7
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f294,f10942]) ).

fof(f10944,plain,
    ( sk0_0 = n4
    | ~ spl0_7
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f431,f10943]) ).

fof(f10945,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10944,f494]) ).

fof(f10946,plain,
    ( ~ spl0_7
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f10945]) ).

fof(f10988,plain,
    ( sk0_0 = sum(pred(sum(n16,n7)),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_16
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f770,f3236]) ).

fof(f10989,plain,
    ( sk0_0 = sum(pred(n2),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_16
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f389,f10988]) ).

fof(f10990,plain,
    ( sk0_0 = sum(n1,sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_16
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f27,f10989]) ).

fof(f10991,plain,
    ( sk0_0 = sum(n1,sum(n6,pred(sum(n16,n6))))
    | ~ spl0_16
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f770,f10990]) ).

fof(f10992,plain,
    ( sk0_0 = sum(n1,sum(n6,pred(n1)))
    | ~ spl0_16
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f388,f10991]) ).

fof(f10993,plain,
    ( sk0_0 = sum(n1,sum(n6,n0))
    | ~ spl0_16
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f26,f10992]) ).

fof(f10994,plain,
    ( sk0_0 = sum(n1,n6)
    | ~ spl0_16
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f172,f10993]) ).

fof(f10995,plain,
    ( sk0_0 = n7
    | ~ spl0_16
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f73,f10994]) ).

fof(f10996,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10995,f497]) ).

fof(f10997,plain,
    ( ~ spl0_16
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f10996]) ).

fof(f11016,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f807,f489]) ).

fof(f11017,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n7))),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f807,f11016]) ).

fof(f11018,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f11,f11017]) ).

fof(f11019,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f807,f11018]) ).

fof(f11040,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(n7,pred(sum(n1,n7))))
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f725,f10004]) ).

fof(f11041,plain,
    ( sk0_0 = sum(pred(sum(n1,n8)),sum(n7,pred(sum(n1,n7))))
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f725,f11040]) ).

fof(f11042,plain,
    ( sk0_0 = sum(pred(n9),sum(n7,pred(sum(n1,n7))))
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f75,f11041]) ).

fof(f11043,plain,
    ( sk0_0 = sum(n8,sum(n7,pred(sum(n1,n7))))
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f34,f11042]) ).

fof(f11044,plain,
    ( sk0_0 = sum(n8,sum(n7,pred(n8)))
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f74,f11043]) ).

fof(f11045,plain,
    ( sk0_0 = sum(n8,sum(n7,n7))
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f33,f11044]) ).

fof(f11046,plain,
    ( sk0_0 = sum(n8,n14)
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f200,f11045]) ).

fof(f11047,plain,
    ( sk0_0 = n1
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f228,f11046]) ).

fof(f11048,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11047,f491]) ).

fof(f11049,plain,
    ( ~ spl0_1
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f11048]) ).

fof(f11066,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(backward_demodulation,[status(thm)],[f840,f489]) ).

fof(f11067,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n18))),sum(sk0_2,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f840,f11066]) ).

fof(f11068,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(sk0_2,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f22,f11067]) ).

fof(f11069,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f840,f11068]) ).

fof(f11109,plain,
    ( sk0_0 = sum(pred(sum(n3,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_3
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f731,f6680]) ).

fof(f11110,plain,
    ( sk0_0 = sum(pred(n1),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_3
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f128,f11109]) ).

fof(f11111,plain,
    ( sk0_0 = sum(n0,sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_3
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f26,f11110]) ).

fof(f11112,plain,
    ( sk0_0 = sum(n0,sum(n18,pred(sum(n3,n18))))
    | ~ spl0_3
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f731,f11111]) ).

fof(f11113,plain,
    ( sk0_0 = sum(n0,sum(n18,pred(n0)))
    | ~ spl0_3
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f127,f11112]) ).

fof(f11114,plain,
    ( sk0_0 = sum(n0,sum(n18,n20))
    | ~ spl0_3
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f25,f11113]) ).

fof(f11115,plain,
    ( sk0_0 = sum(n0,n17)
    | ~ spl0_3
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f444,f11114]) ).

fof(f11116,plain,
    ( sk0_0 = n17
    | ~ spl0_3
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f63,f11115]) ).

fof(f11117,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11116,f507]) ).

fof(f11118,plain,
    ( ~ spl0_3
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f11117]) ).

fof(f11119,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f801,f489]) ).

fof(f11120,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n5))),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f801,f11119]) ).

fof(f11121,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n6)),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f9,f11120]) ).

fof(f11122,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f801,f11121]) ).

fof(f11162,plain,
    ( sk0_0 = sum(pred(sum(n7,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f743,f3895]) ).

fof(f11163,plain,
    ( sk0_0 = sum(pred(n13),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f199,f11162]) ).

fof(f11164,plain,
    ( sk0_0 = sum(n12,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f38,f11163]) ).

fof(f11165,plain,
    ( sk0_0 = sum(n12,sum(n5,pred(sum(n7,n5))))
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f743,f11164]) ).

fof(f11166,plain,
    ( sk0_0 = sum(n12,sum(n5,pred(n12)))
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f198,f11165]) ).

fof(f11167,plain,
    ( sk0_0 = sum(n12,sum(n5,n11))
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f37,f11166]) ).

fof(f11168,plain,
    ( sk0_0 = sum(n12,n16)
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f162,f11167]) ).

fof(f11169,plain,
    ( sk0_0 = n7
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f314,f11168]) ).

fof(f11170,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11169,f497]) ).

fof(f11171,plain,
    ( ~ spl0_7
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f11170]) ).

fof(f11172,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f737,f489]) ).

fof(f11173,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(sk0_2))),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f737,f11172]) ).

fof(f11212,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(n16))),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_37
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f834,f9120]) ).

fof(f11213,plain,
    ( sk0_0 = sum(pred(sum(n5,n17)),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_37
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f20,f11212]) ).

fof(f11214,plain,
    ( sk0_0 = sum(pred(n1),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_37
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f168,f11213]) ).

fof(f11215,plain,
    ( sk0_0 = sum(n0,sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_37
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f26,f11214]) ).

fof(f11216,plain,
    ( sk0_0 = sum(n0,sum(n16,pred(sum(n5,sk0_2))))
    | ~ spl0_37
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f834,f11215]) ).

fof(f11217,plain,
    ( sk0_0 = sum(n0,sum(n16,pred(sum(n5,n16))))
    | ~ spl0_37
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f834,f11216]) ).

fof(f11218,plain,
    ( sk0_0 = sum(n0,sum(n16,pred(n0)))
    | ~ spl0_37
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f167,f11217]) ).

fof(f11219,plain,
    ( sk0_0 = sum(n0,sum(n16,n20))
    | ~ spl0_37
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f25,f11218]) ).

fof(f11220,plain,
    ( sk0_0 = sum(n0,n15)
    | ~ spl0_37
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f402,f11219]) ).

fof(f11221,plain,
    ( sk0_0 = n15
    | ~ spl0_37
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f61,f11220]) ).

fof(f11222,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11221,f505]) ).

fof(f11223,plain,
    ( ~ spl0_37
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f11222]) ).

fof(f11224,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n4,sk0_2))))
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f734,f489]) ).

fof(f11225,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(sk0_2))),sum(sk0_2,pred(sum(n4,sk0_2))))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f734,f11224]) ).

fof(f11265,plain,
    ( sk0_0 = sum(pred(sum(n4,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f734,f4999]) ).

fof(f11266,plain,
    ( sk0_0 = sum(pred(n8),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f134,f11265]) ).

fof(f11267,plain,
    ( sk0_0 = sum(n7,sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f33,f11266]) ).

fof(f11268,plain,
    ( sk0_0 = sum(n7,sum(n3,pred(sum(n4,n3))))
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f734,f11267]) ).

fof(f11269,plain,
    ( sk0_0 = sum(n7,sum(n3,pred(n7)))
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f133,f11268]) ).

fof(f11270,plain,
    ( sk0_0 = sum(n7,sum(n3,n6))
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f32,f11269]) ).

fof(f11271,plain,
    ( sk0_0 = sum(n7,n9)
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f115,f11270]) ).

fof(f11272,plain,
    ( sk0_0 = n16
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f202,f11271]) ).

fof(f11273,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11272,f506]) ).

fof(f11274,plain,
    ( ~ spl0_4
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f11273]) ).

fof(f11275,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f746,f489]) ).

fof(f11276,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(sk0_2))),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f746,f11275]) ).

fof(f11316,plain,
    ( sk0_0 = sum(pred(sum(n8,n18)),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_8
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f746,f7934]) ).

fof(f11317,plain,
    ( sk0_0 = sum(pred(n5),sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_8
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f232,f11316]) ).

fof(f11318,plain,
    ( sk0_0 = sum(n4,sum(n17,pred(sum(sk0_1,n17))))
    | ~ spl0_8
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f30,f11317]) ).

fof(f11319,plain,
    ( sk0_0 = sum(n4,sum(n17,pred(sum(n8,n17))))
    | ~ spl0_8
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f746,f11318]) ).

fof(f11320,plain,
    ( sk0_0 = sum(n4,sum(n17,pred(n4)))
    | ~ spl0_8
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f231,f11319]) ).

fof(f11321,plain,
    ( sk0_0 = sum(n4,sum(n17,n3))
    | ~ spl0_8
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f29,f11320]) ).

fof(f11322,plain,
    ( sk0_0 = sum(n4,n20)
    | ~ spl0_8
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f406,f11321]) ).

fof(f11323,plain,
    ( sk0_0 = n3
    | ~ spl0_8
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f150,f11322]) ).

fof(f11324,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11323,f493]) ).

fof(f11325,plain,
    ( ~ spl0_8
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f11324]) ).

fof(f11348,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(sk0_2))),sum(sk0_2,pred(sum(n9,n16))))
    | ~ spl0_37
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f834,f5489]) ).

fof(f11349,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(n16))),sum(sk0_2,pred(sum(n9,n16))))
    | ~ spl0_37
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f834,f11348]) ).

fof(f11350,plain,
    ( sk0_0 = sum(pred(sum(n9,n17)),sum(sk0_2,pred(sum(n9,n16))))
    | ~ spl0_37
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f20,f11349]) ).

fof(f11351,plain,
    ( sk0_0 = sum(pred(n5),sum(sk0_2,pred(sum(n9,n16))))
    | ~ spl0_37
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f252,f11350]) ).

fof(f11352,plain,
    ( sk0_0 = sum(n4,sum(sk0_2,pred(sum(n9,n16))))
    | ~ spl0_37
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f30,f11351]) ).

fof(f11353,plain,
    ( sk0_0 = sum(n4,sum(n16,pred(sum(n9,n16))))
    | ~ spl0_37
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f834,f11352]) ).

fof(f11354,plain,
    ( sk0_0 = sum(n4,sum(n16,pred(n4)))
    | ~ spl0_37
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f251,f11353]) ).

fof(f11355,plain,
    ( sk0_0 = sum(n4,sum(n16,n3))
    | ~ spl0_37
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f29,f11354]) ).

fof(f11356,plain,
    ( sk0_0 = sum(n4,n19)
    | ~ spl0_37
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f385,f11355]) ).

fof(f11357,plain,
    ( sk0_0 = n2
    | ~ spl0_37
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f149,f11356]) ).

fof(f11358,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11357,f492]) ).

fof(f11359,plain,
    ( ~ spl0_37
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f11358]) ).

fof(f11360,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(backward_demodulation,[status(thm)],[f825,f489]) ).

fof(f11361,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n13))),sum(sk0_2,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f825,f11360]) ).

fof(f11362,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n14)),sum(sk0_2,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f17,f11361]) ).

fof(f11363,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f825,f11362]) ).

fof(f11403,plain,
    ( sk0_0 = sum(pred(sum(n13,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f761,f7711]) ).

fof(f11404,plain,
    ( sk0_0 = sum(pred(n6),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f333,f11403]) ).

fof(f11405,plain,
    ( sk0_0 = sum(n5,sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f31,f11404]) ).

fof(f11406,plain,
    ( sk0_0 = sum(n5,sum(n13,pred(sum(n13,n13))))
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f761,f11405]) ).

fof(f11407,plain,
    ( sk0_0 = sum(n5,sum(n13,pred(n5)))
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f332,f11406]) ).

fof(f11408,plain,
    ( sk0_0 = sum(n5,sum(n13,n4))
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f30,f11407]) ).

fof(f11409,plain,
    ( sk0_0 = sum(n5,n17)
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f323,f11408]) ).

fof(f11410,plain,
    ( sk0_0 = n1
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f168,f11409]) ).

fof(f11411,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11410,f491]) ).

fof(f11412,plain,
    ( ~ spl0_13
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f11411]) ).

fof(f11413,plain,
    ( sk0_0 = sum(pred(sum(n13,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f761,f4591]) ).

fof(f11414,plain,
    ( sk0_0 = sum(pred(n5),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f332,f11413]) ).

fof(f11415,plain,
    ( sk0_0 = sum(n4,sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f30,f11414]) ).

fof(f11416,plain,
    ( sk0_0 = sum(n4,sum(n12,pred(sum(n13,n12))))
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f761,f11415]) ).

fof(f11417,plain,
    ( sk0_0 = sum(n4,sum(n12,pred(n4)))
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f331,f11416]) ).

fof(f11418,plain,
    ( sk0_0 = sum(n4,sum(n12,n3))
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f29,f11417]) ).

fof(f11419,plain,
    ( sk0_0 = sum(n4,n15)
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f301,f11418]) ).

fof(f11420,plain,
    ( sk0_0 = n19
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f145,f11419]) ).

fof(f11421,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11420,f509]) ).

fof(f11422,plain,
    ( ~ spl0_13
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f11421]) ).

fof(f11465,plain,
    ( sk0_0 = sum(pred(sum(n2,succ(n19))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_40
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f843,f1071]) ).

fof(f11466,plain,
    ( sk0_0 = sum(pred(sum(n2,n20)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_40
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f23,f11465]) ).

fof(f11467,plain,
    ( sk0_0 = sum(pred(n1),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_40
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f108,f11466]) ).

fof(f11468,plain,
    ( sk0_0 = sum(n0,sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_40
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f26,f11467]) ).

fof(f11469,plain,
    ( sk0_0 = sum(n0,sum(n19,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_40
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f843,f11468]) ).

fof(f11470,plain,
    ( sk0_0 = sum(n0,sum(n19,pred(sum(n2,sk0_2))))
    | ~ spl0_40
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f728,f11469]) ).

fof(f11471,plain,
    ( sk0_0 = sum(n0,sum(n19,pred(sum(n2,n19))))
    | ~ spl0_40
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f843,f11470]) ).

fof(f11472,plain,
    ( sk0_0 = sum(n0,sum(n19,pred(n0)))
    | ~ spl0_40
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f107,f11471]) ).

fof(f11473,plain,
    ( sk0_0 = sum(n0,sum(n19,n20))
    | ~ spl0_40
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f25,f11472]) ).

fof(f11474,plain,
    ( sk0_0 = sum(n0,n18)
    | ~ spl0_40
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f465,f11473]) ).

fof(f11475,plain,
    ( sk0_0 = n18
    | ~ spl0_40
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f64,f11474]) ).

fof(f11476,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11475,f508]) ).

fof(f11477,plain,
    ( ~ spl0_40
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f11476]) ).

fof(f11502,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n5)),sum(n4,pred(sum(n10,n4))))
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f752,f4844]) ).

fof(f11503,plain,
    ( sk0_0 = sum(pred(sum(n10,n5)),sum(n4,pred(sum(n10,n4))))
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f752,f11502]) ).

fof(f11504,plain,
    ( sk0_0 = sum(pred(n15),sum(n4,pred(sum(n10,n4))))
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f261,f11503]) ).

fof(f11505,plain,
    ( sk0_0 = sum(n14,sum(n4,pred(sum(n10,n4))))
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f40,f11504]) ).

fof(f11506,plain,
    ( sk0_0 = sum(n14,sum(n4,pred(n14)))
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f260,f11505]) ).

fof(f11507,plain,
    ( sk0_0 = sum(n14,sum(n4,n13))
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f39,f11506]) ).

fof(f11508,plain,
    ( sk0_0 = sum(n14,n17)
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f143,f11507]) ).

fof(f11509,plain,
    ( sk0_0 = n10
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f357,f11508]) ).

fof(f11510,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11509,f500]) ).

fof(f11511,plain,
    ( ~ spl0_10
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f11510]) ).

fof(f11512,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f786,f489]) ).

fof(f11513,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n0))),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f11512]) ).

fof(f11514,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f4,f11513]) ).

fof(f11515,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f11514]) ).

fof(f11555,plain,
    ( sk0_0 = sum(pred(sum(n16,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f770,f4537]) ).

fof(f11556,plain,
    ( sk0_0 = sum(pred(n17),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f383,f11555]) ).

fof(f11557,plain,
    ( sk0_0 = sum(n16,sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f42,f11556]) ).

fof(f11558,plain,
    ( sk0_0 = sum(n16,sum(n0,pred(sum(n16,n0))))
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f770,f11557]) ).

fof(f11559,plain,
    ( sk0_0 = sum(n16,sum(n0,pred(n16)))
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f382,f11558]) ).

fof(f11560,plain,
    ( sk0_0 = sum(n16,sum(n0,n15))
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f41,f11559]) ).

fof(f11561,plain,
    ( sk0_0 = sum(n16,n15)
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f61,f11560]) ).

fof(f11562,plain,
    ( sk0_0 = n10
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f397,f11561]) ).

fof(f11563,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11562,f500]) ).

fof(f11564,plain,
    ( ~ spl0_16
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f11563]) ).

fof(f11608,plain,
    ( sk0_0 = sum(pred(sum(n11,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_11
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f755,f9655]) ).

fof(f11609,plain,
    ( sk0_0 = sum(pred(n5),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_11
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f292,f11608]) ).

fof(f11610,plain,
    ( sk0_0 = sum(n4,sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_11
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f30,f11609]) ).

fof(f11611,plain,
    ( sk0_0 = sum(n4,sum(n14,pred(sum(n11,n14))))
    | ~ spl0_11
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f755,f11610]) ).

fof(f11612,plain,
    ( sk0_0 = sum(n4,sum(n14,pred(n4)))
    | ~ spl0_11
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f291,f11611]) ).

fof(f11613,plain,
    ( sk0_0 = sum(n4,sum(n14,n3))
    | ~ spl0_11
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f29,f11612]) ).

fof(f11614,plain,
    ( sk0_0 = sum(n4,n17)
    | ~ spl0_11
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f343,f11613]) ).

fof(f11615,plain,
    ( sk0_0 = n0
    | ~ spl0_11
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f147,f11614]) ).

fof(f11616,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11615,f490]) ).

fof(f11617,plain,
    ( ~ spl0_11
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f11616]) ).

fof(f11620,plain,
    ( sk0_0 = sum(pred(sum(n11,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f755,f8610]) ).

fof(f11621,plain,
    ( sk0_0 = sum(pred(n13),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f279,f11620]) ).

fof(f11622,plain,
    ( sk0_0 = sum(n12,sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f38,f11621]) ).

fof(f11623,plain,
    ( sk0_0 = sum(n12,sum(n1,pred(sum(n11,n1))))
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f755,f11622]) ).

fof(f11624,plain,
    ( sk0_0 = sum(n12,sum(n1,pred(n12)))
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f278,f11623]) ).

fof(f11625,plain,
    ( sk0_0 = sum(n12,sum(n1,n11))
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f37,f11624]) ).

fof(f11626,plain,
    ( sk0_0 = sum(n12,n12)
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f78,f11625]) ).

fof(f11627,plain,
    ( sk0_0 = n3
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f310,f11626]) ).

fof(f11628,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11627,f493]) ).

fof(f11629,plain,
    ( ~ spl0_11
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f11628]) ).

fof(f11630,plain,
    ( sk0_0 = sum(pred(sum(n11,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f755,f8663]) ).

fof(f11631,plain,
    ( sk0_0 = sum(pred(n20),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f286,f11630]) ).

fof(f11632,plain,
    ( sk0_0 = sum(n19,sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f45,f11631]) ).

fof(f11633,plain,
    ( sk0_0 = sum(n19,sum(n8,pred(sum(n11,n8))))
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f755,f11632]) ).

fof(f11634,plain,
    ( sk0_0 = sum(n19,sum(n8,pred(n19)))
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f285,f11633]) ).

fof(f11635,plain,
    ( sk0_0 = sum(n19,sum(n8,n18))
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f44,f11634]) ).

fof(f11636,plain,
    ( sk0_0 = sum(n19,n5)
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f232,f11635]) ).

fof(f11637,plain,
    ( sk0_0 = n3
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f450,f11636]) ).

fof(f11638,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11637,f493]) ).

fof(f11639,plain,
    ( ~ spl0_11
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f11638]) ).

fof(f11640,plain,
    ( sk0_0 = sum(pred(sum(n11,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f755,f8716]) ).

fof(f11641,plain,
    ( sk0_0 = sum(pred(n0),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f287,f11640]) ).

fof(f11642,plain,
    ( sk0_0 = sum(n20,sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f25,f11641]) ).

fof(f11643,plain,
    ( sk0_0 = sum(n20,sum(n9,pred(sum(n11,n9))))
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f755,f11642]) ).

fof(f11644,plain,
    ( sk0_0 = sum(n20,sum(n9,pred(n20)))
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f286,f11643]) ).

fof(f11645,plain,
    ( sk0_0 = sum(n20,sum(n9,n19))
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f45,f11644]) ).

fof(f11646,plain,
    ( sk0_0 = sum(n20,n7)
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f254,f11645]) ).

fof(f11647,plain,
    ( sk0_0 = n6
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f473,f11646]) ).

fof(f11648,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11647,f496]) ).

fof(f11649,plain,
    ( ~ spl0_11
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f11648]) ).

fof(f11650,plain,
    ( sk0_0 = sum(pred(sum(n11,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f755,f8750]) ).

fof(f11651,plain,
    ( sk0_0 = sum(pred(n1),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f288,f11650]) ).

fof(f11652,plain,
    ( sk0_0 = sum(n0,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f26,f11651]) ).

fof(f11653,plain,
    ( sk0_0 = sum(n0,sum(n10,pred(sum(n11,n10))))
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f755,f11652]) ).

fof(f11654,plain,
    ( sk0_0 = sum(n0,sum(n10,pred(n0)))
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f287,f11653]) ).

fof(f11655,plain,
    ( sk0_0 = sum(n0,sum(n10,n20))
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f25,f11654]) ).

fof(f11656,plain,
    ( sk0_0 = sum(n0,n9)
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f276,f11655]) ).

fof(f11657,plain,
    ( sk0_0 = n9
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f55,f11656]) ).

fof(f11658,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11657,f499]) ).

fof(f11659,plain,
    ( ~ spl0_11
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f11658]) ).

fof(f11660,plain,
    ( sk0_0 = sum(pred(sum(n11,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f755,f3411]) ).

fof(f11661,plain,
    ( sk0_0 = sum(pred(n2),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f289,f11660]) ).

fof(f11662,plain,
    ( sk0_0 = sum(n1,sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f27,f11661]) ).

fof(f11663,plain,
    ( sk0_0 = sum(n1,sum(n11,pred(sum(n11,n11))))
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f755,f11662]) ).

fof(f11664,plain,
    ( sk0_0 = sum(n1,sum(n11,pred(n1)))
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f288,f11663]) ).

fof(f11665,plain,
    ( sk0_0 = sum(n1,sum(n11,n0))
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f26,f11664]) ).

fof(f11666,plain,
    ( sk0_0 = sum(n1,n11)
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f277,f11665]) ).

fof(f11667,plain,
    ( sk0_0 = n12
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f78,f11666]) ).

fof(f11668,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11667,f502]) ).

fof(f11669,plain,
    ( ~ spl0_11
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f11668]) ).

fof(f11670,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f740,f489]) ).

fof(f11671,plain,
    ( sk0_0 = sum(pred(sum(n6,succ(sk0_2))),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f740,f11670]) ).

fof(f11710,plain,
    ( sk0_0 = sum(pred(sum(n6,succ(n6))),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_27
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f804,f5286]) ).

fof(f11711,plain,
    ( sk0_0 = sum(pred(sum(n6,n7)),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_27
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f10,f11710]) ).

fof(f11712,plain,
    ( sk0_0 = sum(pred(n13),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_27
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f179,f11711]) ).

fof(f11713,plain,
    ( sk0_0 = sum(n12,sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_27
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f38,f11712]) ).

fof(f11714,plain,
    ( sk0_0 = sum(n12,sum(n6,pred(sum(n6,sk0_2))))
    | ~ spl0_27
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f804,f11713]) ).

fof(f11715,plain,
    ( sk0_0 = sum(n12,sum(n6,pred(sum(n6,n6))))
    | ~ spl0_27
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f804,f11714]) ).

fof(f11716,plain,
    ( sk0_0 = sum(n12,sum(n6,pred(n12)))
    | ~ spl0_27
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f178,f11715]) ).

fof(f11717,plain,
    ( sk0_0 = sum(n12,sum(n6,n11))
    | ~ spl0_27
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f37,f11716]) ).

fof(f11718,plain,
    ( sk0_0 = sum(n12,n17)
    | ~ spl0_27
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f183,f11717]) ).

fof(f11719,plain,
    ( sk0_0 = n8
    | ~ spl0_27
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f315,f11718]) ).

fof(f11720,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11719,f498]) ).

fof(f11721,plain,
    ( ~ spl0_27
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f11720]) ).

fof(f11722,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(n6))),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_27
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f804,f7367]) ).

fof(f11723,plain,
    ( sk0_0 = sum(pred(sum(n15,n7)),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_27
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f10,f11722]) ).

fof(f11724,plain,
    ( sk0_0 = sum(pred(n1),sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_27
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f368,f11723]) ).

fof(f11725,plain,
    ( sk0_0 = sum(n0,sum(sk0_2,pred(sum(n15,sk0_2))))
    | ~ spl0_27
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f26,f11724]) ).

fof(f11726,plain,
    ( sk0_0 = sum(n0,sum(n6,pred(sum(n15,sk0_2))))
    | ~ spl0_27
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f804,f11725]) ).

fof(f11727,plain,
    ( sk0_0 = sum(n0,sum(n6,pred(sum(n15,n6))))
    | ~ spl0_27
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f804,f11726]) ).

fof(f11728,plain,
    ( sk0_0 = sum(n0,sum(n6,pred(n0)))
    | ~ spl0_27
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f367,f11727]) ).

fof(f11729,plain,
    ( sk0_0 = sum(n0,sum(n6,n20))
    | ~ spl0_27
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f25,f11728]) ).

fof(f11730,plain,
    ( sk0_0 = sum(n0,n5)
    | ~ spl0_27
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f192,f11729]) ).

fof(f11731,plain,
    ( sk0_0 = n5
    | ~ spl0_27
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f51,f11730]) ).

fof(f11732,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11731,f495]) ).

fof(f11733,plain,
    ( ~ spl0_27
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f11732]) ).

fof(f11738,plain,
    ( sk0_0 = sum(pred(sum(n17,succ(n6))),sum(sk0_2,pred(sum(n17,sk0_2))))
    | ~ spl0_27
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f804,f6167]) ).

fof(f11739,plain,
    ( sk0_0 = sum(pred(sum(n17,n7)),sum(sk0_2,pred(sum(n17,sk0_2))))
    | ~ spl0_27
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f10,f11738]) ).

fof(f11740,plain,
    ( sk0_0 = sum(pred(n3),sum(sk0_2,pred(sum(n17,sk0_2))))
    | ~ spl0_27
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f410,f11739]) ).

fof(f11741,plain,
    ( sk0_0 = sum(n2,sum(sk0_2,pred(sum(n17,sk0_2))))
    | ~ spl0_27
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f28,f11740]) ).

fof(f11742,plain,
    ( sk0_0 = sum(n2,sum(n6,pred(sum(n17,sk0_2))))
    | ~ spl0_27
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f804,f11741]) ).

fof(f11743,plain,
    ( sk0_0 = sum(n2,sum(n6,pred(sum(n17,n6))))
    | ~ spl0_27
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f804,f11742]) ).

fof(f11744,plain,
    ( sk0_0 = sum(n2,sum(n6,pred(n2)))
    | ~ spl0_27
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f409,f11743]) ).

fof(f11745,plain,
    ( sk0_0 = sum(n2,sum(n6,n1))
    | ~ spl0_27
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f27,f11744]) ).

fof(f11746,plain,
    ( sk0_0 = sum(n2,n7)
    | ~ spl0_27
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f173,f11745]) ).

fof(f11747,plain,
    ( sk0_0 = n9
    | ~ spl0_27
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f95,f11746]) ).

fof(f11748,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11747,f499]) ).

fof(f11749,plain,
    ( ~ spl0_27
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f11748]) ).

fof(f11751,plain,
    ( sk0_0 = sum(pred(sum(n10,succ(n6))),sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f804,f5438]) ).

fof(f11752,plain,
    ( sk0_0 = sum(pred(sum(n10,n7)),sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f10,f11751]) ).

fof(f11753,plain,
    ( sk0_0 = sum(pred(n17),sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f263,f11752]) ).

fof(f11754,plain,
    ( sk0_0 = sum(n16,sum(sk0_2,pred(sum(n10,sk0_2))))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f42,f11753]) ).

fof(f11755,plain,
    ( sk0_0 = sum(n16,sum(n6,pred(sum(n10,sk0_2))))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f804,f11754]) ).

fof(f11756,plain,
    ( sk0_0 = sum(n16,sum(n6,pred(sum(n10,n6))))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f804,f11755]) ).

fof(f11757,plain,
    ( sk0_0 = sum(n16,sum(n6,pred(n16)))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f262,f11756]) ).

fof(f11758,plain,
    ( sk0_0 = sum(n16,sum(n6,n15))
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f41,f11757]) ).

fof(f11759,plain,
    ( sk0_0 = sum(n16,n0)
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f187,f11758]) ).

fof(f11760,plain,
    ( sk0_0 = n16
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f382,f11759]) ).

fof(f11761,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11760,f506]) ).

fof(f11762,plain,
    ( ~ spl0_27
    | ~ spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f11761]) ).

fof(f11763,plain,
    ( sk0_0 = sum(pred(sum(n3,succ(n6))),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f804,f5386]) ).

fof(f11764,plain,
    ( sk0_0 = sum(pred(sum(n3,n7)),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f10,f11763]) ).

fof(f11765,plain,
    ( sk0_0 = sum(pred(n10),sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f116,f11764]) ).

fof(f11766,plain,
    ( sk0_0 = sum(n9,sum(sk0_2,pred(sum(n3,sk0_2))))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f35,f11765]) ).

fof(f11767,plain,
    ( sk0_0 = sum(n9,sum(n6,pred(sum(n3,sk0_2))))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f804,f11766]) ).

fof(f11768,plain,
    ( sk0_0 = sum(n9,sum(n6,pred(sum(n3,n6))))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f804,f11767]) ).

fof(f11769,plain,
    ( sk0_0 = sum(n9,sum(n6,pred(n9)))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f115,f11768]) ).

fof(f11770,plain,
    ( sk0_0 = sum(n9,sum(n6,n8))
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f34,f11769]) ).

fof(f11771,plain,
    ( sk0_0 = sum(n9,n14)
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f180,f11770]) ).

fof(f11772,plain,
    ( sk0_0 = n2
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f249,f11771]) ).

fof(f11773,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11772,f492]) ).

fof(f11774,plain,
    ( ~ spl0_27
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f11773]) ).

fof(f11799,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(n7,pred(sum(n11,n7))))
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f755,f8946]) ).

fof(f11800,plain,
    ( sk0_0 = sum(pred(sum(n11,n8)),sum(n7,pred(sum(n11,n7))))
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f755,f11799]) ).

fof(f11801,plain,
    ( sk0_0 = sum(pred(n19),sum(n7,pred(sum(n11,n7))))
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f285,f11800]) ).

fof(f11802,plain,
    ( sk0_0 = sum(n18,sum(n7,pred(sum(n11,n7))))
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f44,f11801]) ).

fof(f11803,plain,
    ( sk0_0 = sum(n18,sum(n7,pred(n18)))
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f284,f11802]) ).

fof(f11804,plain,
    ( sk0_0 = sum(n18,sum(n7,n17))
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f43,f11803]) ).

fof(f11805,plain,
    ( sk0_0 = sum(n18,n3)
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f210,f11804]) ).

fof(f11806,plain,
    ( sk0_0 = n0
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f427,f11805]) ).

fof(f11807,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11806,f490]) ).

fof(f11808,plain,
    ( ~ spl0_11
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f11807]) ).

fof(f11829,plain,
    ( sk0_0 = sum(pred(sum(n11,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_11
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f755,f10057]) ).

fof(f11830,plain,
    ( sk0_0 = sum(pred(n9),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_11
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f296,f11829]) ).

fof(f11831,plain,
    ( sk0_0 = sum(n8,sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_11
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f34,f11830]) ).

fof(f11832,plain,
    ( sk0_0 = sum(n8,sum(n18,pred(sum(n11,n18))))
    | ~ spl0_11
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f755,f11831]) ).

fof(f11833,plain,
    ( sk0_0 = sum(n8,sum(n18,pred(n8)))
    | ~ spl0_11
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f295,f11832]) ).

fof(f11834,plain,
    ( sk0_0 = sum(n8,sum(n18,n7))
    | ~ spl0_11
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f33,f11833]) ).

fof(f11835,plain,
    ( sk0_0 = sum(n8,n4)
    | ~ spl0_11
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f431,f11834]) ).

fof(f11836,plain,
    ( sk0_0 = n12
    | ~ spl0_11
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f218,f11835]) ).

fof(f11837,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11836,f502]) ).

fof(f11838,plain,
    ( ~ spl0_11
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f11837]) ).

fof(f11839,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f801,f489]) ).

fof(f11840,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n5))),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f801,f11839]) ).

fof(f11841,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n6)),sum(sk0_2,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f9,f11840]) ).

fof(f11842,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f801,f11841]) ).

fof(f11882,plain,
    ( sk0_0 = sum(pred(sum(n3,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f731,f9050]) ).

fof(f11883,plain,
    ( sk0_0 = sum(pred(n9),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f115,f11882]) ).

fof(f11884,plain,
    ( sk0_0 = sum(n8,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f34,f11883]) ).

fof(f11885,plain,
    ( sk0_0 = sum(n8,sum(n5,pred(sum(n3,n5))))
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f731,f11884]) ).

fof(f11886,plain,
    ( sk0_0 = sum(n8,sum(n5,pred(n8)))
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f114,f11885]) ).

fof(f11887,plain,
    ( sk0_0 = sum(n8,sum(n5,n7))
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f33,f11886]) ).

fof(f11888,plain,
    ( sk0_0 = sum(n8,n12)
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f158,f11887]) ).

fof(f11889,plain,
    ( sk0_0 = n20
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f226,f11888]) ).

fof(f11890,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11889,f510]) ).

fof(f11891,plain,
    ( ~ spl0_3
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f11890]) ).

fof(f11910,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(backward_demodulation,[status(thm)],[f825,f489]) ).

fof(f11911,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n13))),sum(sk0_2,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f825,f11910]) ).

fof(f11912,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n14)),sum(sk0_2,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f17,f11911]) ).

fof(f11913,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f825,f11912]) ).

fof(f11953,plain,
    ( sk0_0 = sum(pred(sum(n1,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_1
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f725,f3627]) ).

fof(f11954,plain,
    ( sk0_0 = sum(pred(n15),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_1
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f81,f11953]) ).

fof(f11955,plain,
    ( sk0_0 = sum(n14,sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_1
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f40,f11954]) ).

fof(f11956,plain,
    ( sk0_0 = sum(n14,sum(n13,pred(sum(n1,n13))))
    | ~ spl0_1
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f725,f11955]) ).

fof(f11957,plain,
    ( sk0_0 = sum(n14,sum(n13,pred(n14)))
    | ~ spl0_1
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f80,f11956]) ).

fof(f11958,plain,
    ( sk0_0 = sum(n14,sum(n13,n13))
    | ~ spl0_1
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f39,f11957]) ).

fof(f11959,plain,
    ( sk0_0 = sum(n14,n5)
    | ~ spl0_1
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f332,f11958]) ).

fof(f11960,plain,
    ( sk0_0 = n19
    | ~ spl0_1
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f345,f11959]) ).

fof(f11961,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11960,f509]) ).

fof(f11962,plain,
    ( ~ spl0_1
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f11961]) ).

fof(f11987,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n13)),sum(n12,pred(sum(n0,n12))))
    | ~ spl0_0
    | ~ spl0_33 ),
    inference(backward_demodulation,[status(thm)],[f722,f6994]) ).

fof(f11988,plain,
    ( sk0_0 = sum(pred(sum(n0,n13)),sum(n12,pred(sum(n0,n12))))
    | ~ spl0_0
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f722,f11987]) ).

fof(f11989,plain,
    ( sk0_0 = sum(pred(n13),sum(n12,pred(sum(n0,n12))))
    | ~ spl0_0
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f59,f11988]) ).

fof(f11990,plain,
    ( sk0_0 = sum(n12,sum(n12,pred(sum(n0,n12))))
    | ~ spl0_0
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f38,f11989]) ).

fof(f11991,plain,
    ( sk0_0 = sum(n12,sum(n12,pred(n12)))
    | ~ spl0_0
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f58,f11990]) ).

fof(f11992,plain,
    ( sk0_0 = sum(n12,sum(n12,n11))
    | ~ spl0_0
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f37,f11991]) ).

fof(f11993,plain,
    ( sk0_0 = sum(n12,n2)
    | ~ spl0_0
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f309,f11992]) ).

fof(f11994,plain,
    ( sk0_0 = n14
    | ~ spl0_0
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f300,f11993]) ).

fof(f11995,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11994,f504]) ).

fof(f11996,plain,
    ( ~ spl0_0
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f11995]) ).

fof(f11997,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f798,f489]) ).

fof(f11998,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n4))),sum(sk0_2,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f798,f11997]) ).

fof(f11999,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n5)),sum(sk0_2,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f8,f11998]) ).

fof(f12000,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f798,f11999]) ).

fof(f12040,plain,
    ( sk0_0 = sum(pred(sum(n11,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f755,f9531]) ).

fof(f12041,plain,
    ( sk0_0 = sum(pred(n16),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f282,f12040]) ).

fof(f12042,plain,
    ( sk0_0 = sum(n15,sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f41,f12041]) ).

fof(f12043,plain,
    ( sk0_0 = sum(n15,sum(n4,pred(sum(n11,n4))))
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f755,f12042]) ).

fof(f12044,plain,
    ( sk0_0 = sum(n15,sum(n4,pred(n15)))
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f281,f12043]) ).

fof(f12045,plain,
    ( sk0_0 = sum(n15,sum(n4,n14))
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f40,f12044]) ).

fof(f12046,plain,
    ( sk0_0 = sum(n15,n18)
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f144,f12045]) ).

fof(f12047,plain,
    ( sk0_0 = n12
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f379,f12046]) ).

fof(f12048,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12047,f502]) ).

fof(f12049,plain,
    ( ~ spl0_11
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f12048]) ).

fof(f12091,plain,
    ( sk0_0 = sum(pred(sum(n2,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f728,f10584]) ).

fof(f12092,plain,
    ( sk0_0 = sum(pred(n3),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f89,f12091]) ).

fof(f12093,plain,
    ( sk0_0 = sum(n2,sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f28,f12092]) ).

fof(f12094,plain,
    ( sk0_0 = sum(n2,sum(n0,pred(sum(n2,n0))))
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f728,f12093]) ).

fof(f12095,plain,
    ( sk0_0 = sum(n2,sum(n0,pred(n2)))
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f88,f12094]) ).

fof(f12096,plain,
    ( sk0_0 = sum(n2,sum(n0,n1))
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f27,f12095]) ).

fof(f12097,plain,
    ( sk0_0 = sum(n2,n1)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f47,f12096]) ).

fof(f12098,plain,
    ( sk0_0 = n3
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f89,f12097]) ).

fof(f12099,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12098,f493]) ).

fof(f12100,plain,
    ( ~ spl0_2
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f12099]) ).

fof(f12101,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n0))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f489]) ).

fof(f12102,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f4,f12101]) ).

fof(f12103,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(n0,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f12102]) ).

fof(f12104,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f12103]) ).

fof(f12105,plain,
    ( sk0_0 = sum(pred(sum(n11,succ(n0))),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_21
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f786,f4946]) ).

fof(f12106,plain,
    ( sk0_0 = sum(pred(sum(n11,n1)),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_21
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f4,f12105]) ).

fof(f12107,plain,
    ( sk0_0 = sum(pred(n12),sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_21
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f278,f12106]) ).

fof(f12108,plain,
    ( sk0_0 = sum(n11,sum(sk0_2,pred(sum(n11,sk0_2))))
    | ~ spl0_21
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f37,f12107]) ).

fof(f12109,plain,
    ( sk0_0 = sum(n11,sum(n0,pred(sum(n11,sk0_2))))
    | ~ spl0_21
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f786,f12108]) ).

fof(f12110,plain,
    ( sk0_0 = sum(n11,sum(n0,pred(sum(n11,n0))))
    | ~ spl0_21
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f786,f12109]) ).

fof(f12111,plain,
    ( sk0_0 = sum(n11,sum(n0,pred(n11)))
    | ~ spl0_21
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f277,f12110]) ).

fof(f12112,plain,
    ( sk0_0 = sum(n11,sum(n0,n10))
    | ~ spl0_21
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f36,f12111]) ).

fof(f12113,plain,
    ( sk0_0 = sum(n11,n10)
    | ~ spl0_21
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f56,f12112]) ).

fof(f12114,plain,
    ( sk0_0 = n0
    | ~ spl0_21
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f287,f12113]) ).

fof(f12115,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12114,f490]) ).

fof(f12116,plain,
    ( ~ spl0_21
    | ~ spl0_11 ),
    inference(contradiction_clause,[status(thm)],[f12115]) ).

fof(f12117,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f828,f489]) ).

fof(f12118,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n14))),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f828,f12117]) ).

fof(f12119,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f18,f12118]) ).

fof(f12120,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f828,f12119]) ).

fof(f12141,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(n14,pred(sum(n13,n14))))
    | ~ spl0_13
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f761,f8557]) ).

fof(f12142,plain,
    ( sk0_0 = sum(pred(sum(n13,n15)),sum(n14,pred(sum(n13,n14))))
    | ~ spl0_13
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f761,f12141]) ).

fof(f12143,plain,
    ( sk0_0 = sum(pred(n7),sum(n14,pred(sum(n13,n14))))
    | ~ spl0_13
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f334,f12142]) ).

fof(f12144,plain,
    ( sk0_0 = sum(n6,sum(n14,pred(sum(n13,n14))))
    | ~ spl0_13
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f32,f12143]) ).

fof(f12145,plain,
    ( sk0_0 = sum(n6,sum(n14,pred(n6)))
    | ~ spl0_13
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f333,f12144]) ).

fof(f12146,plain,
    ( sk0_0 = sum(n6,sum(n14,n5))
    | ~ spl0_13
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f31,f12145]) ).

fof(f12147,plain,
    ( sk0_0 = sum(n6,n19)
    | ~ spl0_13
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f345,f12146]) ).

fof(f12148,plain,
    ( sk0_0 = n4
    | ~ spl0_13
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f191,f12147]) ).

fof(f12149,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12148,f494]) ).

fof(f12150,plain,
    ( ~ spl0_13
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f12149]) ).

fof(f12151,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f789,f489]) ).

fof(f12152,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n1))),sum(sk0_2,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f789,f12151]) ).

fof(f12153,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n2)),sum(sk0_2,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f5,f12152]) ).

fof(f12154,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f789,f12153]) ).

fof(f12195,plain,
    ( sk0_0 = sum(pred(sum(n16,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f770,f8610]) ).

fof(f12196,plain,
    ( sk0_0 = sum(pred(n18),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f384,f12195]) ).

fof(f12197,plain,
    ( sk0_0 = sum(n17,sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f43,f12196]) ).

fof(f12198,plain,
    ( sk0_0 = sum(n17,sum(n1,pred(sum(n16,n1))))
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f770,f12197]) ).

fof(f12199,plain,
    ( sk0_0 = sum(n17,sum(n1,pred(n17)))
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f383,f12198]) ).

fof(f12200,plain,
    ( sk0_0 = sum(n17,sum(n1,n16))
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f42,f12199]) ).

fof(f12201,plain,
    ( sk0_0 = sum(n17,n17)
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f83,f12200]) ).

fof(f12202,plain,
    ( sk0_0 = n13
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f420,f12201]) ).

fof(f12203,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12202,f503]) ).

fof(f12204,plain,
    ( ~ spl0_16
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f12203]) ).

fof(f12229,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(n8,pred(sum(n19,n8))))
    | ~ spl0_19
    | ~ spl0_29 ),
    inference(backward_demodulation,[status(thm)],[f779,f4447]) ).

fof(f12230,plain,
    ( sk0_0 = sum(pred(sum(n19,n9)),sum(n8,pred(sum(n19,n8))))
    | ~ spl0_19
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f779,f12229]) ).

fof(f12231,plain,
    ( sk0_0 = sum(pred(n7),sum(n8,pred(sum(n19,n8))))
    | ~ spl0_19
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f454,f12230]) ).

fof(f12232,plain,
    ( sk0_0 = sum(n6,sum(n8,pred(sum(n19,n8))))
    | ~ spl0_19
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f32,f12231]) ).

fof(f12233,plain,
    ( sk0_0 = sum(n6,sum(n8,pred(n6)))
    | ~ spl0_19
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f453,f12232]) ).

fof(f12234,plain,
    ( sk0_0 = sum(n6,sum(n8,n5))
    | ~ spl0_19
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f31,f12233]) ).

fof(f12235,plain,
    ( sk0_0 = sum(n6,n13)
    | ~ spl0_19
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f219,f12234]) ).

fof(f12236,plain,
    ( sk0_0 = n19
    | ~ spl0_19
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f185,f12235]) ).

fof(f12237,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12236,f509]) ).

fof(f12238,plain,
    ( ~ spl0_19
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f12237]) ).

fof(f12239,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f813,f489]) ).

fof(f12240,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n9))),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f813,f12239]) ).

fof(f12241,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n10)),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f13,f12240]) ).

fof(f12242,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f813,f12241]) ).

fof(f12282,plain,
    ( sk0_0 = sum(pred(sum(n7,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f743,f3289]) ).

fof(f12283,plain,
    ( sk0_0 = sum(pred(n17),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f203,f12282]) ).

fof(f12284,plain,
    ( sk0_0 = sum(n16,sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f42,f12283]) ).

fof(f12285,plain,
    ( sk0_0 = sum(n16,sum(n9,pred(sum(n7,n9))))
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f743,f12284]) ).

fof(f12286,plain,
    ( sk0_0 = sum(n16,sum(n9,pred(n16)))
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f202,f12285]) ).

fof(f12287,plain,
    ( sk0_0 = sum(n16,sum(n9,n15))
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f41,f12286]) ).

fof(f12288,plain,
    ( sk0_0 = sum(n16,n3)
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f250,f12287]) ).

fof(f12289,plain,
    ( sk0_0 = n19
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f385,f12288]) ).

fof(f12290,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12289,f509]) ).

fof(f12291,plain,
    ( ~ spl0_7
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f12290]) ).

fof(f12292,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f816,f489]) ).

fof(f12293,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n10))),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f816,f12292]) ).

fof(f12294,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n11)),sum(sk0_2,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f14,f12293]) ).

fof(f12295,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f816,f12294]) ).

fof(f12336,plain,
    ( sk0_0 = sum(pred(sum(n3,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_3
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f731,f7171]) ).

fof(f12337,plain,
    ( sk0_0 = sum(pred(n14),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_3
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f120,f12336]) ).

fof(f12338,plain,
    ( sk0_0 = sum(n13,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_3
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f39,f12337]) ).

fof(f12339,plain,
    ( sk0_0 = sum(n13,sum(n10,pred(sum(n3,n10))))
    | ~ spl0_3
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f731,f12338]) ).

fof(f12340,plain,
    ( sk0_0 = sum(n13,sum(n10,pred(n13)))
    | ~ spl0_3
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f119,f12339]) ).

fof(f12341,plain,
    ( sk0_0 = sum(n13,sum(n10,n12))
    | ~ spl0_3
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f38,f12340]) ).

fof(f12342,plain,
    ( sk0_0 = sum(n13,n1)
    | ~ spl0_3
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f268,f12341]) ).

fof(f12343,plain,
    ( sk0_0 = n14
    | ~ spl0_3
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f320,f12342]) ).

fof(f12344,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12343,f504]) ).

fof(f12345,plain,
    ( ~ spl0_3
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f12344]) ).

fof(f12347,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(backward_demodulation,[status(thm)],[f819,f489]) ).

fof(f12348,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n11))),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f819,f12347]) ).

fof(f12349,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n12)),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f15,f12348]) ).

fof(f12350,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f819,f12349]) ).

fof(f12371,plain,
    ( sk0_0 = sum(pred(sum(n1,succ(n11))),sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_32
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f819,f1138]) ).

fof(f12372,plain,
    ( sk0_0 = sum(pred(sum(n1,n12)),sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_32
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f15,f12371]) ).

fof(f12373,plain,
    ( sk0_0 = sum(pred(n13),sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_32
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f79,f12372]) ).

fof(f12374,plain,
    ( sk0_0 = sum(n12,sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_32
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f38,f12373]) ).

fof(f12375,plain,
    ( sk0_0 = sum(n12,sum(n11,pred(sum(n1,sk0_2))))
    | ~ spl0_32
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f819,f12374]) ).

fof(f12376,plain,
    ( sk0_0 = sum(n12,sum(n11,pred(sum(n1,n11))))
    | ~ spl0_32
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f819,f12375]) ).

fof(f12377,plain,
    ( sk0_0 = sum(n12,sum(n11,pred(n12)))
    | ~ spl0_32
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f78,f12376]) ).

fof(f12378,plain,
    ( sk0_0 = sum(n12,sum(n11,n11))
    | ~ spl0_32
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f37,f12377]) ).

fof(f12379,plain,
    ( sk0_0 = sum(n12,n1)
    | ~ spl0_32
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f288,f12378]) ).

fof(f12380,plain,
    ( sk0_0 = n13
    | ~ spl0_32
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f299,f12379]) ).

fof(f12381,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12380,f503]) ).

fof(f12382,plain,
    ( ~ spl0_32
    | ~ spl0_1 ),
    inference(contradiction_clause,[status(thm)],[f12381]) ).

fof(f12400,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n4,sk0_2))))
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f734,f489]) ).

fof(f12401,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(sk0_2))),sum(sk0_2,pred(sum(n4,sk0_2))))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f734,f12400]) ).

fof(f12441,plain,
    ( sk0_0 = sum(pred(sum(n4,n17)),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_4
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f734,f7815]) ).

fof(f12442,plain,
    ( sk0_0 = sum(pred(n0),sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_4
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f147,f12441]) ).

fof(f12443,plain,
    ( sk0_0 = sum(n20,sum(n16,pred(sum(sk0_1,n16))))
    | ~ spl0_4
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f25,f12442]) ).

fof(f12444,plain,
    ( sk0_0 = sum(n20,sum(n16,pred(sum(n4,n16))))
    | ~ spl0_4
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f734,f12443]) ).

fof(f12445,plain,
    ( sk0_0 = sum(n20,sum(n16,pred(n20)))
    | ~ spl0_4
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f146,f12444]) ).

fof(f12446,plain,
    ( sk0_0 = sum(n20,sum(n16,n19))
    | ~ spl0_4
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f45,f12445]) ).

fof(f12447,plain,
    ( sk0_0 = sum(n20,n14)
    | ~ spl0_4
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f401,f12446]) ).

fof(f12448,plain,
    ( sk0_0 = n13
    | ~ spl0_4
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f480,f12447]) ).

fof(f12449,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12448,f503]) ).

fof(f12450,plain,
    ( ~ spl0_4
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f12449]) ).

fof(f12493,plain,
    ( sk0_0 = sum(pred(sum(n5,n4)),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f737,f3998]) ).

fof(f12494,plain,
    ( sk0_0 = sum(pred(n9),sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f155,f12493]) ).

fof(f12495,plain,
    ( sk0_0 = sum(n8,sum(n3,pred(sum(sk0_1,n3))))
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f34,f12494]) ).

fof(f12496,plain,
    ( sk0_0 = sum(n8,sum(n3,pred(sum(n5,n3))))
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f737,f12495]) ).

fof(f12497,plain,
    ( sk0_0 = sum(n8,sum(n3,pred(n8)))
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f154,f12496]) ).

fof(f12498,plain,
    ( sk0_0 = sum(n8,sum(n3,n7))
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f33,f12497]) ).

fof(f12499,plain,
    ( sk0_0 = sum(n8,n10)
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f116,f12498]) ).

fof(f12500,plain,
    ( sk0_0 = n18
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f224,f12499]) ).

fof(f12501,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12500,f508]) ).

fof(f12502,plain,
    ( ~ spl0_5
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f12501]) ).

fof(f12544,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(n16))),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_37
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f834,f10222]) ).

fof(f12545,plain,
    ( sk0_0 = sum(pred(sum(n8,n17)),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_37
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f20,f12544]) ).

fof(f12546,plain,
    ( sk0_0 = sum(pred(n4),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_37
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f231,f12545]) ).

fof(f12547,plain,
    ( sk0_0 = sum(n3,sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_37
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f29,f12546]) ).

fof(f12548,plain,
    ( sk0_0 = sum(n3,sum(n16,pred(sum(n8,sk0_2))))
    | ~ spl0_37
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f834,f12547]) ).

fof(f12549,plain,
    ( sk0_0 = sum(n3,sum(n16,pred(sum(n8,n16))))
    | ~ spl0_37
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f834,f12548]) ).

fof(f12550,plain,
    ( sk0_0 = sum(n3,sum(n16,pred(n3)))
    | ~ spl0_37
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f230,f12549]) ).

fof(f12551,plain,
    ( sk0_0 = sum(n3,sum(n16,n2))
    | ~ spl0_37
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f28,f12550]) ).

fof(f12552,plain,
    ( sk0_0 = sum(n3,n18)
    | ~ spl0_37
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f384,f12551]) ).

fof(f12553,plain,
    ( sk0_0 = n0
    | ~ spl0_37
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f127,f12552]) ).

fof(f12554,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12553,f490]) ).

fof(f12555,plain,
    ( ~ spl0_37
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f12554]) ).

fof(f12578,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(sk0_2))),sum(sk0_2,pred(sum(n9,n2))))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f792,f9256]) ).

fof(f12579,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(n2))),sum(sk0_2,pred(sum(n9,n2))))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f792,f12578]) ).

fof(f12580,plain,
    ( sk0_0 = sum(pred(sum(n9,n3)),sum(sk0_2,pred(sum(n9,n2))))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f6,f12579]) ).

fof(f12581,plain,
    ( sk0_0 = sum(pred(n12),sum(sk0_2,pred(sum(n9,n2))))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f238,f12580]) ).

fof(f12582,plain,
    ( sk0_0 = sum(n11,sum(sk0_2,pred(sum(n9,n2))))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f37,f12581]) ).

fof(f12583,plain,
    ( sk0_0 = sum(n11,sum(n2,pred(sum(n9,n2))))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f792,f12582]) ).

fof(f12584,plain,
    ( sk0_0 = sum(n11,sum(n2,pred(n11)))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f237,f12583]) ).

fof(f12585,plain,
    ( sk0_0 = sum(n11,sum(n2,n10))
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f36,f12584]) ).

fof(f12586,plain,
    ( sk0_0 = sum(n11,n12)
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f98,f12585]) ).

fof(f12587,plain,
    ( sk0_0 = n2
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f289,f12586]) ).

fof(f12588,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12587,f492]) ).

fof(f12589,plain,
    ( ~ spl0_23
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f12588]) ).

fof(f12607,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f807,f489]) ).

fof(f12608,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n7))),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f807,f12607]) ).

fof(f12609,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f11,f12608]) ).

fof(f12610,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f807,f12609]) ).

fof(f12650,plain,
    ( sk0_0 = sum(pred(sum(n17,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f773,f11019]) ).

fof(f12651,plain,
    ( sk0_0 = sum(pred(n4),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f411,f12650]) ).

fof(f12652,plain,
    ( sk0_0 = sum(n3,sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f29,f12651]) ).

fof(f12653,plain,
    ( sk0_0 = sum(n3,sum(n7,pred(sum(n17,n7))))
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f773,f12652]) ).

fof(f12654,plain,
    ( sk0_0 = sum(n3,sum(n7,pred(n3)))
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f410,f12653]) ).

fof(f12655,plain,
    ( sk0_0 = sum(n3,sum(n7,n2))
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f28,f12654]) ).

fof(f12656,plain,
    ( sk0_0 = sum(n3,n9)
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f195,f12655]) ).

fof(f12657,plain,
    ( sk0_0 = n12
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f118,f12656]) ).

fof(f12658,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12657,f502]) ).

fof(f12659,plain,
    ( ~ spl0_17
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f12658]) ).

fof(f12660,plain,
    ( sk0_0 = sum(pred(sum(n17,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f773,f489]) ).

fof(f12661,plain,
    ( sk0_0 = sum(pred(sum(n17,succ(sk0_2))),sum(sk0_2,pred(sum(n17,sk0_2))))
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f773,f12660]) ).

fof(f12662,plain,
    ( sk0_0 = sum(pred(sum(n17,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f773,f8999]) ).

fof(f12663,plain,
    ( sk0_0 = sum(pred(n15),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f422,f12662]) ).

fof(f12664,plain,
    ( sk0_0 = sum(n14,sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f40,f12663]) ).

fof(f12665,plain,
    ( sk0_0 = sum(n14,sum(n18,pred(sum(n17,n18))))
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f773,f12664]) ).

fof(f12666,plain,
    ( sk0_0 = sum(n14,sum(n18,pred(n14)))
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f421,f12665]) ).

fof(f12667,plain,
    ( sk0_0 = sum(n14,sum(n18,n13))
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f39,f12666]) ).

fof(f12668,plain,
    ( sk0_0 = sum(n14,n10)
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f437,f12667]) ).

fof(f12669,plain,
    ( sk0_0 = n3
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f350,f12668]) ).

fof(f12670,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12669,f493]) ).

fof(f12671,plain,
    ( ~ spl0_17
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f12670]) ).

fof(f12692,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n18))),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f840,f489]) ).

fof(f12693,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(sk0_2,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f22,f12692]) ).

fof(f12694,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(n18,pred(sum(sk0_1,sk0_2))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f840,f12693]) ).

fof(f12695,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f840,f12694]) ).

fof(f12696,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(n18,pred(sum(n7,n18))))
    | ~ spl0_7
    | ~ spl0_39 ),
    inference(backward_demodulation,[status(thm)],[f743,f12695]) ).

fof(f12697,plain,
    ( sk0_0 = sum(pred(sum(n7,n19)),sum(n18,pred(sum(n7,n18))))
    | ~ spl0_7
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f743,f12696]) ).

fof(f12698,plain,
    ( sk0_0 = sum(pred(n5),sum(n18,pred(sum(n7,n18))))
    | ~ spl0_7
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f212,f12697]) ).

fof(f12699,plain,
    ( sk0_0 = sum(n4,sum(n18,pred(sum(n7,n18))))
    | ~ spl0_7
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f30,f12698]) ).

fof(f12700,plain,
    ( sk0_0 = sum(n4,sum(n18,pred(n4)))
    | ~ spl0_7
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f211,f12699]) ).

fof(f12701,plain,
    ( sk0_0 = sum(n4,sum(n18,n3))
    | ~ spl0_7
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f29,f12700]) ).

fof(f12702,plain,
    ( sk0_0 = sum(n4,n0)
    | ~ spl0_7
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f427,f12701]) ).

fof(f12703,plain,
    ( sk0_0 = n4
    | ~ spl0_7
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f130,f12702]) ).

fof(f12704,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12703,f494]) ).

fof(f12705,plain,
    ( ~ spl0_7
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f12704]) ).

fof(f12766,plain,
    ( sk0_0 = sum(pred(sum(n10,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f752,f4681]) ).

fof(f12767,plain,
    ( sk0_0 = sum(pred(n16),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f262,f12766]) ).

fof(f12768,plain,
    ( sk0_0 = sum(n15,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f41,f12767]) ).

fof(f12769,plain,
    ( sk0_0 = sum(n15,sum(n5,pred(sum(n10,n5))))
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f752,f12768]) ).

fof(f12770,plain,
    ( sk0_0 = sum(n15,sum(n5,pred(n15)))
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f261,f12769]) ).

fof(f12771,plain,
    ( sk0_0 = sum(n15,sum(n5,n14))
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f40,f12770]) ).

fof(f12772,plain,
    ( sk0_0 = sum(n15,n19)
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f165,f12771]) ).

fof(f12773,plain,
    ( sk0_0 = n13
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f380,f12772]) ).

fof(f12774,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12773,f503]) ).

fof(f12775,plain,
    ( ~ spl0_10
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f12774]) ).

fof(f12817,plain,
    ( sk0_0 = sum(pred(sum(n15,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f767,f8327]) ).

fof(f12818,plain,
    ( sk0_0 = sum(pred(n8),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f375,f12817]) ).

fof(f12819,plain,
    ( sk0_0 = sum(n7,sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f33,f12818]) ).

fof(f12820,plain,
    ( sk0_0 = sum(n7,sum(n13,pred(sum(n15,n13))))
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f767,f12819]) ).

fof(f12821,plain,
    ( sk0_0 = sum(n7,sum(n13,pred(n7)))
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f374,f12820]) ).

fof(f12822,plain,
    ( sk0_0 = sum(n7,sum(n13,n6))
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f32,f12821]) ).

fof(f12823,plain,
    ( sk0_0 = sum(n7,n19)
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f325,f12822]) ).

fof(f12824,plain,
    ( sk0_0 = n5
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f212,f12823]) ).

fof(f12825,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12824,f495]) ).

fof(f12826,plain,
    ( ~ spl0_15
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f12825]) ).

fof(f12832,plain,
    ( sk0_0 = sum(pred(sum(n0,succ(n13))),sum(sk0_2,pred(sum(n0,sk0_2))))
    | ~ spl0_34
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f825,f7274]) ).

fof(f12833,plain,
    ( sk0_0 = sum(pred(sum(n0,n14)),sum(sk0_2,pred(sum(n0,sk0_2))))
    | ~ spl0_34
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f17,f12832]) ).

fof(f12834,plain,
    ( sk0_0 = sum(pred(n14),sum(sk0_2,pred(sum(n0,sk0_2))))
    | ~ spl0_34
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f60,f12833]) ).

fof(f12835,plain,
    ( sk0_0 = sum(n13,sum(sk0_2,pred(sum(n0,sk0_2))))
    | ~ spl0_34
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f39,f12834]) ).

fof(f12836,plain,
    ( sk0_0 = sum(n13,sum(n13,pred(sum(n0,sk0_2))))
    | ~ spl0_34
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f825,f12835]) ).

fof(f12837,plain,
    ( sk0_0 = sum(n13,sum(n13,pred(sum(n0,n13))))
    | ~ spl0_34
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f825,f12836]) ).

fof(f12838,plain,
    ( sk0_0 = sum(n13,sum(n13,pred(n13)))
    | ~ spl0_34
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f59,f12837]) ).

fof(f12839,plain,
    ( sk0_0 = sum(n13,sum(n13,n12))
    | ~ spl0_34
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f38,f12838]) ).

fof(f12840,plain,
    ( sk0_0 = sum(n13,n4)
    | ~ spl0_34
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f331,f12839]) ).

fof(f12841,plain,
    ( sk0_0 = n17
    | ~ spl0_34
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f323,f12840]) ).

fof(f12842,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12841,f507]) ).

fof(f12843,plain,
    ( ~ spl0_34
    | ~ spl0_0 ),
    inference(contradiction_clause,[status(thm)],[f12842]) ).

fof(f12844,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(backward_demodulation,[status(thm)],[f822,f489]) ).

fof(f12845,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n12))),sum(sk0_2,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f822,f12844]) ).

fof(f12846,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n13)),sum(sk0_2,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f16,f12845]) ).

fof(f12847,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f822,f12846]) ).

fof(f12867,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n13)),sum(n12,pred(sum(n6,n12))))
    | ~ spl0_6
    | ~ spl0_33 ),
    inference(backward_demodulation,[status(thm)],[f740,f7762]) ).

fof(f12868,plain,
    ( sk0_0 = sum(pred(sum(n6,n13)),sum(n12,pred(sum(n6,n12))))
    | ~ spl0_6
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f740,f12867]) ).

fof(f12869,plain,
    ( sk0_0 = sum(pred(n19),sum(n12,pred(sum(n6,n12))))
    | ~ spl0_6
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f185,f12868]) ).

fof(f12870,plain,
    ( sk0_0 = sum(n18,sum(n12,pred(sum(n6,n12))))
    | ~ spl0_6
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f44,f12869]) ).

fof(f12871,plain,
    ( sk0_0 = sum(n18,sum(n12,pred(n18)))
    | ~ spl0_6
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f184,f12870]) ).

fof(f12872,plain,
    ( sk0_0 = sum(n18,sum(n12,n17))
    | ~ spl0_6
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f43,f12871]) ).

fof(f12873,plain,
    ( sk0_0 = sum(n18,n8)
    | ~ spl0_6
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f315,f12872]) ).

fof(f12874,plain,
    ( sk0_0 = n5
    | ~ spl0_6
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f432,f12873]) ).

fof(f12875,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12874,f495]) ).

fof(f12876,plain,
    ( ~ spl0_6
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f12875]) ).

fof(f12920,plain,
    ( sk0_0 = sum(pred(sum(n16,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f770,f8013]) ).

fof(f12921,plain,
    ( sk0_0 = sum(pred(n0),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f387,f12920]) ).

fof(f12922,plain,
    ( sk0_0 = sum(n20,sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f25,f12921]) ).

fof(f12923,plain,
    ( sk0_0 = sum(n20,sum(n4,pred(sum(n16,n4))))
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f770,f12922]) ).

fof(f12924,plain,
    ( sk0_0 = sum(n20,sum(n4,pred(n20)))
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f386,f12923]) ).

fof(f12925,plain,
    ( sk0_0 = sum(n20,sum(n4,n19))
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f45,f12924]) ).

fof(f12926,plain,
    ( sk0_0 = sum(n20,n2)
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f149,f12925]) ).

fof(f12927,plain,
    ( sk0_0 = n1
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f468,f12926]) ).

fof(f12928,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12927,f491]) ).

fof(f12929,plain,
    ( ~ spl0_16
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f12928]) ).

fof(f12972,plain,
    ( sk0_0 = sum(pred(sum(n2,n7)),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_2
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f728,f9951]) ).

fof(f12973,plain,
    ( sk0_0 = sum(pred(n9),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_2
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f95,f12972]) ).

fof(f12974,plain,
    ( sk0_0 = sum(n8,sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_2
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f34,f12973]) ).

fof(f12975,plain,
    ( sk0_0 = sum(n8,sum(n6,pred(sum(n2,n6))))
    | ~ spl0_2
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f728,f12974]) ).

fof(f12976,plain,
    ( sk0_0 = sum(n8,sum(n6,pred(n8)))
    | ~ spl0_2
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f94,f12975]) ).

fof(f12977,plain,
    ( sk0_0 = sum(n8,sum(n6,n7))
    | ~ spl0_2
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f33,f12976]) ).

fof(f12978,plain,
    ( sk0_0 = sum(n8,n13)
    | ~ spl0_2
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f179,f12977]) ).

fof(f12979,plain,
    ( sk0_0 = n0
    | ~ spl0_2
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f227,f12978]) ).

fof(f12980,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12979,f490]) ).

fof(f12981,plain,
    ( ~ spl0_2
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f12980]) ).

fof(f12999,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f786,f489]) ).

fof(f13000,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n0))),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f12999]) ).

fof(f13001,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(sk0_2,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f4,f13000]) ).

fof(f13002,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f786,f13001]) ).

fof(f13041,plain,
    ( sk0_0 = sum(pred(sum(n19,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f779,f9602]) ).

fof(f13042,plain,
    ( sk0_0 = sum(pred(n20),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f446,f13041]) ).

fof(f13043,plain,
    ( sk0_0 = sum(n19,sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f45,f13042]) ).

fof(f13044,plain,
    ( sk0_0 = sum(n19,sum(n0,pred(sum(n19,n0))))
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f779,f13043]) ).

fof(f13045,plain,
    ( sk0_0 = sum(n19,sum(n0,pred(n19)))
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f445,f13044]) ).

fof(f13046,plain,
    ( sk0_0 = sum(n19,sum(n0,n18))
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f44,f13045]) ).

fof(f13047,plain,
    ( sk0_0 = sum(n19,n18)
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f64,f13046]) ).

fof(f13048,plain,
    ( sk0_0 = n16
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f463,f13047]) ).

fof(f13049,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13048,f506]) ).

fof(f13050,plain,
    ( ~ spl0_19
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f13049]) ).

fof(f13076,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(n14,pred(sum(n10,n14))))
    | ~ spl0_10
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f752,f9655]) ).

fof(f13077,plain,
    ( sk0_0 = sum(pred(sum(n10,n15)),sum(n14,pred(sum(n10,n14))))
    | ~ spl0_10
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f752,f13076]) ).

fof(f13078,plain,
    ( sk0_0 = sum(pred(n4),sum(n14,pred(sum(n10,n14))))
    | ~ spl0_10
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f271,f13077]) ).

fof(f13079,plain,
    ( sk0_0 = sum(n3,sum(n14,pred(sum(n10,n14))))
    | ~ spl0_10
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f29,f13078]) ).

fof(f13080,plain,
    ( sk0_0 = sum(n3,sum(n14,pred(n3)))
    | ~ spl0_10
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f270,f13079]) ).

fof(f13081,plain,
    ( sk0_0 = sum(n3,sum(n14,n2))
    | ~ spl0_10
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f28,f13080]) ).

fof(f13082,plain,
    ( sk0_0 = sum(n3,n16)
    | ~ spl0_10
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f342,f13081]) ).

fof(f13083,plain,
    ( sk0_0 = n19
    | ~ spl0_10
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f125,f13082]) ).

fof(f13084,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13083,f509]) ).

fof(f13085,plain,
    ( ~ spl0_10
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f13084]) ).

fof(f13105,plain,
    ( sk0_0 = sum(pred(sum(n10,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f752,f12154]) ).

fof(f13106,plain,
    ( sk0_0 = sum(pred(n12),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f258,f13105]) ).

fof(f13107,plain,
    ( sk0_0 = sum(n11,sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f37,f13106]) ).

fof(f13108,plain,
    ( sk0_0 = sum(n11,sum(n1,pred(sum(n10,n1))))
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f752,f13107]) ).

fof(f13109,plain,
    ( sk0_0 = sum(n11,sum(n1,pred(n11)))
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f257,f13108]) ).

fof(f13110,plain,
    ( sk0_0 = sum(n11,sum(n1,n10))
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f36,f13109]) ).

fof(f13111,plain,
    ( sk0_0 = sum(n11,n11)
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f77,f13110]) ).

fof(f13112,plain,
    ( sk0_0 = n1
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f288,f13111]) ).

fof(f13113,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13112,f491]) ).

fof(f13114,plain,
    ( ~ spl0_10
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f13113]) ).

fof(f13133,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(backward_demodulation,[status(thm)],[f810,f489]) ).

fof(f13134,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n8))),sum(sk0_2,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f810,f13133]) ).

fof(f13135,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(sk0_2,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f12,f13134]) ).

fof(f13136,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f810,f13135]) ).

fof(f13157,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n9)),sum(n8,pred(sum(n7,n8))))
    | ~ spl0_7
    | ~ spl0_29 ),
    inference(backward_demodulation,[status(thm)],[f743,f9743]) ).

fof(f13158,plain,
    ( sk0_0 = sum(pred(sum(n7,n9)),sum(n8,pred(sum(n7,n8))))
    | ~ spl0_7
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f743,f13157]) ).

fof(f13159,plain,
    ( sk0_0 = sum(pred(n16),sum(n8,pred(sum(n7,n8))))
    | ~ spl0_7
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f202,f13158]) ).

fof(f13160,plain,
    ( sk0_0 = sum(n15,sum(n8,pred(sum(n7,n8))))
    | ~ spl0_7
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f41,f13159]) ).

fof(f13161,plain,
    ( sk0_0 = sum(n15,sum(n8,pred(n15)))
    | ~ spl0_7
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f201,f13160]) ).

fof(f13162,plain,
    ( sk0_0 = sum(n15,sum(n8,n14))
    | ~ spl0_7
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f40,f13161]) ).

fof(f13163,plain,
    ( sk0_0 = sum(n15,n1)
    | ~ spl0_7
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f228,f13162]) ).

fof(f13164,plain,
    ( sk0_0 = n16
    | ~ spl0_7
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f362,f13163]) ).

fof(f13165,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13164,f506]) ).

fof(f13166,plain,
    ( ~ spl0_7
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f13165]) ).

fof(f13167,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f813,f489]) ).

fof(f13168,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n9))),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f813,f13167]) ).

fof(f13169,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n10)),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f13,f13168]) ).

fof(f13170,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f813,f13169]) ).

fof(f13210,plain,
    ( sk0_0 = sum(pred(sum(n10,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f752,f8716]) ).

fof(f13211,plain,
    ( sk0_0 = sum(pred(n20),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f266,f13210]) ).

fof(f13212,plain,
    ( sk0_0 = sum(n19,sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f45,f13211]) ).

fof(f13213,plain,
    ( sk0_0 = sum(n19,sum(n9,pred(sum(n10,n9))))
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f752,f13212]) ).

fof(f13214,plain,
    ( sk0_0 = sum(n19,sum(n9,pred(n19)))
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f265,f13213]) ).

fof(f13215,plain,
    ( sk0_0 = sum(n19,sum(n9,n18))
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f44,f13214]) ).

fof(f13216,plain,
    ( sk0_0 = sum(n19,n6)
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f253,f13215]) ).

fof(f13217,plain,
    ( sk0_0 = n4
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f451,f13216]) ).

fof(f13218,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13217,f494]) ).

fof(f13219,plain,
    ( ~ spl0_10
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f13218]) ).

fof(f13222,plain,
    ( sk0_0 = sum(pred(sum(n10,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f752,f9845]) ).

fof(f13223,plain,
    ( sk0_0 = sum(pred(n0),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f267,f13222]) ).

fof(f13224,plain,
    ( sk0_0 = sum(n20,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f25,f13223]) ).

fof(f13225,plain,
    ( sk0_0 = sum(n20,sum(n10,pred(sum(n10,n10))))
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f752,f13224]) ).

fof(f13226,plain,
    ( sk0_0 = sum(n20,sum(n10,pred(n20)))
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f266,f13225]) ).

fof(f13227,plain,
    ( sk0_0 = sum(n20,sum(n10,n19))
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f45,f13226]) ).

fof(f13228,plain,
    ( sk0_0 = sum(n20,n8)
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f275,f13227]) ).

fof(f13229,plain,
    ( sk0_0 = n7
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f474,f13228]) ).

fof(f13230,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13229,f497]) ).

fof(f13231,plain,
    ( ~ spl0_10
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f13230]) ).

fof(f13232,plain,
    ( sk0_0 = sum(pred(sum(n10,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f752,f12350]) ).

fof(f13233,plain,
    ( sk0_0 = sum(pred(n1),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f268,f13232]) ).

fof(f13234,plain,
    ( sk0_0 = sum(n0,sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f26,f13233]) ).

fof(f13235,plain,
    ( sk0_0 = sum(n0,sum(n11,pred(sum(n10,n11))))
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f752,f13234]) ).

fof(f13236,plain,
    ( sk0_0 = sum(n0,sum(n11,pred(n0)))
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f267,f13235]) ).

fof(f13237,plain,
    ( sk0_0 = sum(n0,sum(n11,n20))
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f25,f13236]) ).

fof(f13238,plain,
    ( sk0_0 = sum(n0,n10)
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f297,f13237]) ).

fof(f13239,plain,
    ( sk0_0 = n10
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f56,f13238]) ).

fof(f13240,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13239,f500]) ).

fof(f13241,plain,
    ( ~ spl0_10
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f13240]) ).

fof(f13283,plain,
    ( sk0_0 = sum(pred(sum(n8,n7)),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f746,f8856]) ).

fof(f13284,plain,
    ( sk0_0 = sum(pred(n15),sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f221,f13283]) ).

fof(f13285,plain,
    ( sk0_0 = sum(n14,sum(n6,pred(sum(sk0_1,n6))))
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f40,f13284]) ).

fof(f13286,plain,
    ( sk0_0 = sum(n14,sum(n6,pred(sum(n8,n6))))
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f746,f13285]) ).

fof(f13287,plain,
    ( sk0_0 = sum(n14,sum(n6,pred(n14)))
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f220,f13286]) ).

fof(f13288,plain,
    ( sk0_0 = sum(n14,sum(n6,n13))
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f39,f13287]) ).

fof(f13289,plain,
    ( sk0_0 = sum(n14,n19)
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f185,f13288]) ).

fof(f13290,plain,
    ( sk0_0 = n12
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f359,f13289]) ).

fof(f13291,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13290,f502]) ).

fof(f13292,plain,
    ( ~ spl0_8
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f13291]) ).

fof(f13297,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(n6))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f804,f10254]) ).

fof(f13298,plain,
    ( sk0_0 = sum(pred(sum(n9,n7)),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f10,f13297]) ).

fof(f13299,plain,
    ( sk0_0 = sum(pred(n16),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f242,f13298]) ).

fof(f13300,plain,
    ( sk0_0 = sum(n15,sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f41,f13299]) ).

fof(f13301,plain,
    ( sk0_0 = sum(n15,sum(n6,pred(sum(n9,sk0_2))))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f804,f13300]) ).

fof(f13302,plain,
    ( sk0_0 = sum(n15,sum(n6,pred(sum(n9,n6))))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f804,f13301]) ).

fof(f13303,plain,
    ( sk0_0 = sum(n15,sum(n6,pred(n15)))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f241,f13302]) ).

fof(f13304,plain,
    ( sk0_0 = sum(n15,sum(n6,n14))
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f40,f13303]) ).

fof(f13305,plain,
    ( sk0_0 = sum(n15,n20)
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f186,f13304]) ).

fof(f13306,plain,
    ( sk0_0 = n14
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f381,f13305]) ).

fof(f13307,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13306,f504]) ).

fof(f13308,plain,
    ( ~ spl0_27
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f13307]) ).

fof(f13349,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(n7,pred(sum(n13,n7))))
    | ~ spl0_13
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f761,f10004]) ).

fof(f13350,plain,
    ( sk0_0 = sum(pred(sum(n13,n8)),sum(n7,pred(sum(n13,n7))))
    | ~ spl0_13
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f761,f13349]) ).

fof(f13351,plain,
    ( sk0_0 = sum(pred(n0),sum(n7,pred(sum(n13,n7))))
    | ~ spl0_13
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f327,f13350]) ).

fof(f13352,plain,
    ( sk0_0 = sum(n20,sum(n7,pred(sum(n13,n7))))
    | ~ spl0_13
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f25,f13351]) ).

fof(f13353,plain,
    ( sk0_0 = sum(n20,sum(n7,pred(n20)))
    | ~ spl0_13
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f326,f13352]) ).

fof(f13354,plain,
    ( sk0_0 = sum(n20,sum(n7,n19))
    | ~ spl0_13
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f45,f13353]) ).

fof(f13355,plain,
    ( sk0_0 = sum(n20,n5)
    | ~ spl0_13
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f212,f13354]) ).

fof(f13356,plain,
    ( sk0_0 = n4
    | ~ spl0_13
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f471,f13355]) ).

fof(f13357,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13356,f494]) ).

fof(f13358,plain,
    ( ~ spl0_13
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f13357]) ).

fof(f13359,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(backward_demodulation,[status(thm)],[f840,f489]) ).

fof(f13360,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n18))),sum(sk0_2,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f840,f13359]) ).

fof(f13361,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(sk0_2,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f22,f13360]) ).

fof(f13362,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f840,f13361]) ).

fof(f13402,plain,
    ( sk0_0 = sum(pred(sum(n10,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_10
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f752,f11069]) ).

fof(f13403,plain,
    ( sk0_0 = sum(pred(n8),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_10
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f275,f13402]) ).

fof(f13404,plain,
    ( sk0_0 = sum(n7,sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_10
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f33,f13403]) ).

fof(f13405,plain,
    ( sk0_0 = sum(n7,sum(n18,pred(sum(n10,n18))))
    | ~ spl0_10
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f752,f13404]) ).

fof(f13406,plain,
    ( sk0_0 = sum(n7,sum(n18,pred(n7)))
    | ~ spl0_10
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f274,f13405]) ).

fof(f13407,plain,
    ( sk0_0 = sum(n7,sum(n18,n6))
    | ~ spl0_10
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f32,f13406]) ).

fof(f13408,plain,
    ( sk0_0 = sum(n7,n3)
    | ~ spl0_10
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f430,f13407]) ).

fof(f13409,plain,
    ( sk0_0 = n10
    | ~ spl0_10
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f196,f13408]) ).

fof(f13410,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13409,f500]) ).

fof(f13411,plain,
    ( ~ spl0_10
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f13410]) ).

fof(f13454,plain,
    ( sk0_0 = sum(pred(sum(n17,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f773,f5968]) ).

fof(f13455,plain,
    ( sk0_0 = sum(pred(n2),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f409,f13454]) ).

fof(f13456,plain,
    ( sk0_0 = sum(n1,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f27,f13455]) ).

fof(f13457,plain,
    ( sk0_0 = sum(n1,sum(n5,pred(sum(n17,n5))))
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f773,f13456]) ).

fof(f13458,plain,
    ( sk0_0 = sum(n1,sum(n5,pred(n1)))
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f408,f13457]) ).

fof(f13459,plain,
    ( sk0_0 = sum(n1,sum(n5,n0))
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f26,f13458]) ).

fof(f13460,plain,
    ( sk0_0 = sum(n1,n5)
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f151,f13459]) ).

fof(f13461,plain,
    ( sk0_0 = n6
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f72,f13460]) ).

fof(f13462,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13461,f496]) ).

fof(f13463,plain,
    ( ~ spl0_17
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f13462]) ).

fof(f13468,plain,
    ( sk0_0 = sum(pred(sum(n12,succ(n5))),sum(sk0_2,pred(sum(n12,sk0_2))))
    | ~ spl0_26
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f801,f6515]) ).

fof(f13469,plain,
    ( sk0_0 = sum(pred(sum(n12,n6)),sum(sk0_2,pred(sum(n12,sk0_2))))
    | ~ spl0_26
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f9,f13468]) ).

fof(f13470,plain,
    ( sk0_0 = sum(pred(n18),sum(sk0_2,pred(sum(n12,sk0_2))))
    | ~ spl0_26
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f304,f13469]) ).

fof(f13471,plain,
    ( sk0_0 = sum(n17,sum(sk0_2,pred(sum(n12,sk0_2))))
    | ~ spl0_26
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f43,f13470]) ).

fof(f13472,plain,
    ( sk0_0 = sum(n17,sum(n5,pred(sum(n12,sk0_2))))
    | ~ spl0_26
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f801,f13471]) ).

fof(f13473,plain,
    ( sk0_0 = sum(n17,sum(n5,pred(sum(n12,n5))))
    | ~ spl0_26
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f801,f13472]) ).

fof(f13474,plain,
    ( sk0_0 = sum(n17,sum(n5,pred(n17)))
    | ~ spl0_26
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f303,f13473]) ).

fof(f13475,plain,
    ( sk0_0 = sum(n17,sum(n5,n16))
    | ~ spl0_26
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f42,f13474]) ).

fof(f13476,plain,
    ( sk0_0 = sum(n17,n0)
    | ~ spl0_26
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f167,f13475]) ).

fof(f13477,plain,
    ( sk0_0 = n17
    | ~ spl0_26
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f403,f13476]) ).

fof(f13478,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13477,f507]) ).

fof(f13479,plain,
    ( ~ spl0_26
    | ~ spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f13478]) ).

fof(f13523,plain,
    ( sk0_0 = sum(pred(sum(n19,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f779,f11363]) ).

fof(f13524,plain,
    ( sk0_0 = sum(pred(n12),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f459,f13523]) ).

fof(f13525,plain,
    ( sk0_0 = sum(n11,sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f37,f13524]) ).

fof(f13526,plain,
    ( sk0_0 = sum(n11,sum(n13,pred(sum(n19,n13))))
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f779,f13525]) ).

fof(f13527,plain,
    ( sk0_0 = sum(n11,sum(n13,pred(n11)))
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f458,f13526]) ).

fof(f13528,plain,
    ( sk0_0 = sum(n11,sum(n13,n10))
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f36,f13527]) ).

fof(f13529,plain,
    ( sk0_0 = sum(n11,n2)
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f329,f13528]) ).

fof(f13530,plain,
    ( sk0_0 = n13
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f279,f13529]) ).

fof(f13531,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13530,f503]) ).

fof(f13532,plain,
    ( ~ spl0_19
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f13531]) ).

fof(f13576,plain,
    ( sk0_0 = sum(pred(sum(n11,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_11
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f755,f12847]) ).

fof(f13577,plain,
    ( sk0_0 = sum(pred(n3),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_11
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f290,f13576]) ).

fof(f13578,plain,
    ( sk0_0 = sum(n2,sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_11
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f28,f13577]) ).

fof(f13579,plain,
    ( sk0_0 = sum(n2,sum(n12,pred(sum(n11,n12))))
    | ~ spl0_11
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f755,f13578]) ).

fof(f13580,plain,
    ( sk0_0 = sum(n2,sum(n12,pred(n2)))
    | ~ spl0_11
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f289,f13579]) ).

fof(f13581,plain,
    ( sk0_0 = sum(n2,sum(n12,n1))
    | ~ spl0_11
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f27,f13580]) ).

fof(f13582,plain,
    ( sk0_0 = sum(n2,n13)
    | ~ spl0_11
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f299,f13581]) ).

fof(f13583,plain,
    ( sk0_0 = n15
    | ~ spl0_11
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f101,f13582]) ).

fof(f13584,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13583,f505]) ).

fof(f13585,plain,
    ( ~ spl0_11
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f13584]) ).

fof(f13606,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(sk0_2))),sum(sk0_2,pred(sum(n4,n6))))
    | ~ spl0_27
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f804,f10171]) ).

fof(f13607,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(n6))),sum(sk0_2,pred(sum(n4,n6))))
    | ~ spl0_27
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f804,f13606]) ).

fof(f13608,plain,
    ( sk0_0 = sum(pred(sum(n4,n7)),sum(sk0_2,pred(sum(n4,n6))))
    | ~ spl0_27
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f10,f13607]) ).

fof(f13609,plain,
    ( sk0_0 = sum(pred(n11),sum(sk0_2,pred(sum(n4,n6))))
    | ~ spl0_27
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f137,f13608]) ).

fof(f13610,plain,
    ( sk0_0 = sum(n10,sum(sk0_2,pred(sum(n4,n6))))
    | ~ spl0_27
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f36,f13609]) ).

fof(f13611,plain,
    ( sk0_0 = sum(n10,sum(n6,pred(sum(n4,n6))))
    | ~ spl0_27
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f804,f13610]) ).

fof(f13612,plain,
    ( sk0_0 = sum(n10,sum(n6,pred(n10)))
    | ~ spl0_27
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f136,f13611]) ).

fof(f13613,plain,
    ( sk0_0 = sum(n10,sum(n6,n9))
    | ~ spl0_27
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f35,f13612]) ).

fof(f13614,plain,
    ( sk0_0 = sum(n10,n15)
    | ~ spl0_27
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f181,f13613]) ).

fof(f13615,plain,
    ( sk0_0 = n4
    | ~ spl0_27
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f271,f13614]) ).

fof(f13616,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13615,f494]) ).

fof(f13617,plain,
    ( ~ spl0_27
    | ~ spl0_4 ),
    inference(contradiction_clause,[status(thm)],[f13616]) ).

fof(f13641,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(n6))),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f804,f10120]) ).

fof(f13642,plain,
    ( sk0_0 = sum(pred(sum(n5,n7)),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f10,f13641]) ).

fof(f13643,plain,
    ( sk0_0 = sum(pred(n12),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f158,f13642]) ).

fof(f13644,plain,
    ( sk0_0 = sum(n11,sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f37,f13643]) ).

fof(f13645,plain,
    ( sk0_0 = sum(n11,sum(n6,pred(sum(n5,sk0_2))))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f804,f13644]) ).

fof(f13646,plain,
    ( sk0_0 = sum(n11,sum(n6,pred(sum(n5,n6))))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f804,f13645]) ).

fof(f13647,plain,
    ( sk0_0 = sum(n11,sum(n6,pred(n11)))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f157,f13646]) ).

fof(f13648,plain,
    ( sk0_0 = sum(n11,sum(n6,n10))
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f36,f13647]) ).

fof(f13649,plain,
    ( sk0_0 = sum(n11,n16)
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f182,f13648]) ).

fof(f13650,plain,
    ( sk0_0 = n6
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f293,f13649]) ).

fof(f13651,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13650,f496]) ).

fof(f13652,plain,
    ( ~ spl0_27
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f13651]) ).

fof(f13694,plain,
    ( sk0_0 = sum(pred(sum(n15,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f767,f5759]) ).

fof(f13695,plain,
    ( sk0_0 = sum(pred(n20),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f366,f13694]) ).

fof(f13696,plain,
    ( sk0_0 = sum(n19,sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f45,f13695]) ).

fof(f13697,plain,
    ( sk0_0 = sum(n19,sum(n4,pred(sum(n15,n4))))
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f767,f13696]) ).

fof(f13698,plain,
    ( sk0_0 = sum(n19,sum(n4,pred(n19)))
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f365,f13697]) ).

fof(f13699,plain,
    ( sk0_0 = sum(n19,sum(n4,n18))
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f44,f13698]) ).

fof(f13700,plain,
    ( sk0_0 = sum(n19,n1)
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f148,f13699]) ).

fof(f13701,plain,
    ( sk0_0 = n20
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f446,f13700]) ).

fof(f13702,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13701,f510]) ).

fof(f13703,plain,
    ( ~ spl0_15
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f13702]) ).

fof(f13709,plain,
    ( sk0_0 = sum(pred(sum(n6,succ(n4))),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_25
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f798,f11671]) ).

fof(f13710,plain,
    ( sk0_0 = sum(pred(sum(n6,n5)),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_25
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f8,f13709]) ).

fof(f13711,plain,
    ( sk0_0 = sum(pred(n11),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_25
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f177,f13710]) ).

fof(f13712,plain,
    ( sk0_0 = sum(n10,sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_25
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f36,f13711]) ).

fof(f13713,plain,
    ( sk0_0 = sum(n10,sum(n4,pred(sum(n6,sk0_2))))
    | ~ spl0_25
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f798,f13712]) ).

fof(f13714,plain,
    ( sk0_0 = sum(n10,sum(n4,pred(sum(n6,n4))))
    | ~ spl0_25
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f798,f13713]) ).

fof(f13715,plain,
    ( sk0_0 = sum(n10,sum(n4,pred(n10)))
    | ~ spl0_25
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f176,f13714]) ).

fof(f13716,plain,
    ( sk0_0 = sum(n10,sum(n4,n9))
    | ~ spl0_25
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f35,f13715]) ).

fof(f13717,plain,
    ( sk0_0 = sum(n10,n13)
    | ~ spl0_25
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f139,f13716]) ).

fof(f13718,plain,
    ( sk0_0 = n2
    | ~ spl0_25
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f269,f13717]) ).

fof(f13719,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13718,f492]) ).

fof(f13720,plain,
    ( ~ spl0_25
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f13719]) ).

fof(f13721,plain,
    ( sk0_0 = sum(pred(sum(n1,succ(n4))),sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f798,f4733]) ).

fof(f13722,plain,
    ( sk0_0 = sum(pred(sum(n1,n5)),sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f8,f13721]) ).

fof(f13723,plain,
    ( sk0_0 = sum(pred(n6),sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f72,f13722]) ).

fof(f13724,plain,
    ( sk0_0 = sum(n5,sum(sk0_2,pred(sum(n1,sk0_2))))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f31,f13723]) ).

fof(f13725,plain,
    ( sk0_0 = sum(n5,sum(n4,pred(sum(n1,sk0_2))))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f798,f13724]) ).

fof(f13726,plain,
    ( sk0_0 = sum(n5,sum(n4,pred(sum(n1,n4))))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f798,f13725]) ).

fof(f13727,plain,
    ( sk0_0 = sum(n5,sum(n4,pred(n5)))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f71,f13726]) ).

fof(f13728,plain,
    ( sk0_0 = sum(n5,sum(n4,n4))
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f30,f13727]) ).

fof(f13729,plain,
    ( sk0_0 = sum(n5,n8)
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f134,f13728]) ).

fof(f13730,plain,
    ( sk0_0 = n13
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f159,f13729]) ).

fof(f13731,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13730,f503]) ).

fof(f13732,plain,
    ( ~ spl0_25
    | ~ spl0_1 ),
    inference(contradiction_clause,[status(thm)],[f13731]) ).

fof(f13777,plain,
    ( sk0_0 = sum(pred(sum(n3,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f731,f11515]) ).

fof(f13778,plain,
    ( sk0_0 = sum(pred(n4),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f110,f13777]) ).

fof(f13779,plain,
    ( sk0_0 = sum(n3,sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f29,f13778]) ).

fof(f13780,plain,
    ( sk0_0 = sum(n3,sum(n0,pred(sum(n3,n0))))
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f731,f13779]) ).

fof(f13781,plain,
    ( sk0_0 = sum(n3,sum(n0,pred(n3)))
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f109,f13780]) ).

fof(f13782,plain,
    ( sk0_0 = sum(n3,sum(n0,n2))
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f28,f13781]) ).

fof(f13783,plain,
    ( sk0_0 = sum(n3,n2)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f48,f13782]) ).

fof(f13784,plain,
    ( sk0_0 = n5
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f111,f13783]) ).

fof(f13785,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13784,f495]) ).

fof(f13786,plain,
    ( ~ spl0_3
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f13785]) ).

fof(f13787,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f828,f489]) ).

fof(f13788,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n14))),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f828,f13787]) ).

fof(f13789,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f18,f13788]) ).

fof(f13790,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f828,f13789]) ).

fof(f13831,plain,
    ( sk0_0 = sum(pred(sum(n2,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_2
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f728,f12120]) ).

fof(f13832,plain,
    ( sk0_0 = sum(pred(n17),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_2
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f103,f13831]) ).

fof(f13833,plain,
    ( sk0_0 = sum(n16,sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_2
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f42,f13832]) ).

fof(f13834,plain,
    ( sk0_0 = sum(n16,sum(n14,pred(sum(n2,n14))))
    | ~ spl0_2
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f728,f13833]) ).

fof(f13835,plain,
    ( sk0_0 = sum(n16,sum(n14,pred(n16)))
    | ~ spl0_2
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f102,f13834]) ).

fof(f13836,plain,
    ( sk0_0 = sum(n16,sum(n14,n15))
    | ~ spl0_2
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f41,f13835]) ).

fof(f13837,plain,
    ( sk0_0 = sum(n16,n8)
    | ~ spl0_2
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f355,f13836]) ).

fof(f13838,plain,
    ( sk0_0 = n3
    | ~ spl0_2
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f390,f13837]) ).

fof(f13839,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13838,f493]) ).

fof(f13840,plain,
    ( ~ spl0_2
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f13839]) ).

fof(f13843,plain,
    ( sk0_0 = sum(pred(sum(n2,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f728,f8610]) ).

fof(f13844,plain,
    ( sk0_0 = sum(pred(n4),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f90,f13843]) ).

fof(f13845,plain,
    ( sk0_0 = sum(n3,sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f29,f13844]) ).

fof(f13846,plain,
    ( sk0_0 = sum(n3,sum(n1,pred(sum(n2,n1))))
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f728,f13845]) ).

fof(f13847,plain,
    ( sk0_0 = sum(n3,sum(n1,pred(n3)))
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f89,f13846]) ).

fof(f13848,plain,
    ( sk0_0 = sum(n3,sum(n1,n2))
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f28,f13847]) ).

fof(f13849,plain,
    ( sk0_0 = sum(n3,n3)
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f69,f13848]) ).

fof(f13850,plain,
    ( sk0_0 = n6
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f112,f13849]) ).

fof(f13851,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13850,f496]) ).

fof(f13852,plain,
    ( ~ spl0_2
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f13851]) ).

fof(f13897,plain,
    ( sk0_0 = sum(pred(sum(n16,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_16
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f770,f3358]) ).

fof(f13898,plain,
    ( sk0_0 = sum(pred(n4),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_16
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f391,f13897]) ).

fof(f13899,plain,
    ( sk0_0 = sum(n3,sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_16
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f29,f13898]) ).

fof(f13900,plain,
    ( sk0_0 = sum(n3,sum(n8,pred(sum(n16,n8))))
    | ~ spl0_16
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f770,f13899]) ).

fof(f13901,plain,
    ( sk0_0 = sum(n3,sum(n8,pred(n3)))
    | ~ spl0_16
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f390,f13900]) ).

fof(f13902,plain,
    ( sk0_0 = sum(n3,sum(n8,n2))
    | ~ spl0_16
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f28,f13901]) ).

fof(f13903,plain,
    ( sk0_0 = sum(n3,n10)
    | ~ spl0_16
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f216,f13902]) ).

fof(f13904,plain,
    ( sk0_0 = n13
    | ~ spl0_16
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f119,f13903]) ).

fof(f13905,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13904,f503]) ).

fof(f13906,plain,
    ( ~ spl0_16
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f13905]) ).

fof(f13923,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f813,f489]) ).

fof(f13924,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n9))),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f813,f13923]) ).

fof(f13925,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n10)),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f13,f13924]) ).

fof(f13926,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f813,f13925]) ).

fof(f13966,plain,
    ( sk0_0 = sum(pred(sum(n0,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f722,f12242]) ).

fof(f13967,plain,
    ( sk0_0 = sum(pred(n10),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f56,f13966]) ).

fof(f13968,plain,
    ( sk0_0 = sum(n9,sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f35,f13967]) ).

fof(f13969,plain,
    ( sk0_0 = sum(n9,sum(n9,pred(sum(n0,n9))))
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f722,f13968]) ).

fof(f13970,plain,
    ( sk0_0 = sum(n9,sum(n9,pred(n9)))
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f55,f13969]) ).

fof(f13971,plain,
    ( sk0_0 = sum(n9,sum(n9,n8))
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f34,f13970]) ).

fof(f13972,plain,
    ( sk0_0 = sum(n9,n17)
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f243,f13971]) ).

fof(f13973,plain,
    ( sk0_0 = n5
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f252,f13972]) ).

fof(f13974,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13973,f495]) ).

fof(f13975,plain,
    ( ~ spl0_0
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f13974]) ).

fof(f13976,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(backward_demodulation,[status(thm)],[f819,f489]) ).

fof(f13977,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n11))),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f819,f13976]) ).

fof(f13978,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n12)),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f15,f13977]) ).

fof(f13979,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f819,f13978]) ).

fof(f14019,plain,
    ( sk0_0 = sum(pred(sum(n19,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_19
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f779,f10897]) ).

fof(f14020,plain,
    ( sk0_0 = sum(pred(n10),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_19
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f457,f14019]) ).

fof(f14021,plain,
    ( sk0_0 = sum(n9,sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_19
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f35,f14020]) ).

fof(f14022,plain,
    ( sk0_0 = sum(n9,sum(n11,pred(sum(n19,n11))))
    | ~ spl0_19
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f779,f14021]) ).

fof(f14023,plain,
    ( sk0_0 = sum(n9,sum(n11,pred(n9)))
    | ~ spl0_19
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f456,f14022]) ).

fof(f14024,plain,
    ( sk0_0 = sum(n9,sum(n11,n8))
    | ~ spl0_19
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f34,f14023]) ).

fof(f14025,plain,
    ( sk0_0 = sum(n9,n19)
    | ~ spl0_19
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f285,f14024]) ).

fof(f14026,plain,
    ( sk0_0 = n7
    | ~ spl0_19
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f254,f14025]) ).

fof(f14027,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14026,f497]) ).

fof(f14028,plain,
    ( ~ spl0_19
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f14027]) ).

fof(f14029,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f746,f489]) ).

fof(f14030,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(sk0_2))),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f746,f14029]) ).

fof(f14068,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(n1))),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f789,f9206]) ).

fof(f14069,plain,
    ( sk0_0 = sum(pred(sum(n8,n2)),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f5,f14068]) ).

fof(f14070,plain,
    ( sk0_0 = sum(pred(n10),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f216,f14069]) ).

fof(f14071,plain,
    ( sk0_0 = sum(n9,sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f35,f14070]) ).

fof(f14072,plain,
    ( sk0_0 = sum(n9,sum(n1,pred(sum(n8,sk0_2))))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f789,f14071]) ).

fof(f14073,plain,
    ( sk0_0 = sum(n9,sum(n1,pred(sum(n8,n1))))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f789,f14072]) ).

fof(f14074,plain,
    ( sk0_0 = sum(n9,sum(n1,pred(n9)))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f215,f14073]) ).

fof(f14075,plain,
    ( sk0_0 = sum(n9,sum(n1,n8))
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f34,f14074]) ).

fof(f14076,plain,
    ( sk0_0 = sum(n9,n9)
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f75,f14075]) ).

fof(f14077,plain,
    ( sk0_0 = n18
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f244,f14076]) ).

fof(f14078,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14077,f508]) ).

fof(f14079,plain,
    ( ~ spl0_22
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f14078]) ).

fof(f14080,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f749,f489]) ).

fof(f14081,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(sk0_2))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f749,f14080]) ).

fof(f14121,plain,
    ( sk0_0 = sum(pred(sum(n9,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f749,f4483]) ).

fof(f14122,plain,
    ( sk0_0 = sum(pred(n20),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f246,f14121]) ).

fof(f14123,plain,
    ( sk0_0 = sum(n19,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f45,f14122]) ).

fof(f14124,plain,
    ( sk0_0 = sum(n19,sum(n10,pred(sum(n9,n10))))
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f749,f14123]) ).

fof(f14125,plain,
    ( sk0_0 = sum(n19,sum(n10,pred(n19)))
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f245,f14124]) ).

fof(f14126,plain,
    ( sk0_0 = sum(n19,sum(n10,n18))
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f44,f14125]) ).

fof(f14127,plain,
    ( sk0_0 = sum(n19,n7)
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f274,f14126]) ).

fof(f14128,plain,
    ( sk0_0 = n5
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f452,f14127]) ).

fof(f14129,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14128,f495]) ).

fof(f14130,plain,
    ( ~ spl0_9
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f14129]) ).

fof(f14131,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f807,f489]) ).

fof(f14132,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n7))),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f807,f14131]) ).

fof(f14133,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f11,f14132]) ).

fof(f14134,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f807,f14133]) ).

fof(f14174,plain,
    ( sk0_0 = sum(pred(sum(n19,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f779,f12610]) ).

fof(f14175,plain,
    ( sk0_0 = sum(pred(n6),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f453,f14174]) ).

fof(f14176,plain,
    ( sk0_0 = sum(n5,sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f31,f14175]) ).

fof(f14177,plain,
    ( sk0_0 = sum(n5,sum(n7,pred(sum(n19,n7))))
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f779,f14176]) ).

fof(f14178,plain,
    ( sk0_0 = sum(n5,sum(n7,pred(n5)))
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f452,f14177]) ).

fof(f14179,plain,
    ( sk0_0 = sum(n5,sum(n7,n4))
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f30,f14178]) ).

fof(f14180,plain,
    ( sk0_0 = sum(n5,n11)
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f197,f14179]) ).

fof(f14181,plain,
    ( sk0_0 = n16
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f162,f14180]) ).

fof(f14182,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14181,f506]) ).

fof(f14183,plain,
    ( ~ spl0_19
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f14182]) ).

fof(f14228,plain,
    ( sk0_0 = sum(pred(sum(n12,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_12
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f758,f6680]) ).

fof(f14229,plain,
    ( sk0_0 = sum(pred(n10),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_12
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f317,f14228]) ).

fof(f14230,plain,
    ( sk0_0 = sum(n9,sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_12
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f35,f14229]) ).

fof(f14231,plain,
    ( sk0_0 = sum(n9,sum(n18,pred(sum(n12,n18))))
    | ~ spl0_12
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f758,f14230]) ).

fof(f14232,plain,
    ( sk0_0 = sum(n9,sum(n18,pred(n9)))
    | ~ spl0_12
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f316,f14231]) ).

fof(f14233,plain,
    ( sk0_0 = sum(n9,sum(n18,n8))
    | ~ spl0_12
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f34,f14232]) ).

fof(f14234,plain,
    ( sk0_0 = sum(n9,n5)
    | ~ spl0_12
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f432,f14233]) ).

fof(f14235,plain,
    ( sk0_0 = n14
    | ~ spl0_12
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f240,f14234]) ).

fof(f14236,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14235,f504]) ).

fof(f14237,plain,
    ( ~ spl0_12
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f14236]) ).

fof(f14279,plain,
    ( sk0_0 = sum(pred(sum(n17,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f773,f10844]) ).

fof(f14280,plain,
    ( sk0_0 = sum(pred(n7),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f414,f14279]) ).

fof(f14281,plain,
    ( sk0_0 = sum(n6,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f32,f14280]) ).

fof(f14282,plain,
    ( sk0_0 = sum(n6,sum(n10,pred(sum(n17,n10))))
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f773,f14281]) ).

fof(f14283,plain,
    ( sk0_0 = sum(n6,sum(n10,pred(n6)))
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f413,f14282]) ).

fof(f14284,plain,
    ( sk0_0 = sum(n6,sum(n10,n5))
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f31,f14283]) ).

fof(f14285,plain,
    ( sk0_0 = sum(n6,n15)
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f261,f14284]) ).

fof(f14286,plain,
    ( sk0_0 = n0
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f187,f14285]) ).

fof(f14287,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14286,f490]) ).

fof(f14288,plain,
    ( ~ spl0_17
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f14287]) ).

fof(f14333,plain,
    ( sk0_0 = sum(pred(sum(n11,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_11
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f755,f7711]) ).

fof(f14334,plain,
    ( sk0_0 = sum(pred(n4),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_11
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f291,f14333]) ).

fof(f14335,plain,
    ( sk0_0 = sum(n3,sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_11
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f29,f14334]) ).

fof(f14336,plain,
    ( sk0_0 = sum(n3,sum(n13,pred(sum(n11,n13))))
    | ~ spl0_11
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f755,f14335]) ).

fof(f14337,plain,
    ( sk0_0 = sum(n3,sum(n13,pred(n3)))
    | ~ spl0_11
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f290,f14336]) ).

fof(f14338,plain,
    ( sk0_0 = sum(n3,sum(n13,n2))
    | ~ spl0_11
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f28,f14337]) ).

fof(f14339,plain,
    ( sk0_0 = sum(n3,n15)
    | ~ spl0_11
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f321,f14338]) ).

fof(f14340,plain,
    ( sk0_0 = n18
    | ~ spl0_11
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f124,f14339]) ).

fof(f14341,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14340,f508]) ).

fof(f14342,plain,
    ( ~ spl0_11
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f14341]) ).

fof(f14367,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n13)),sum(n12,pred(sum(n16,n12))))
    | ~ spl0_16
    | ~ spl0_33 ),
    inference(backward_demodulation,[status(thm)],[f770,f7762]) ).

fof(f14368,plain,
    ( sk0_0 = sum(pred(sum(n16,n13)),sum(n12,pred(sum(n16,n12))))
    | ~ spl0_16
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f770,f14367]) ).

fof(f14369,plain,
    ( sk0_0 = sum(pred(n8),sum(n12,pred(sum(n16,n12))))
    | ~ spl0_16
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f395,f14368]) ).

fof(f14370,plain,
    ( sk0_0 = sum(n7,sum(n12,pred(sum(n16,n12))))
    | ~ spl0_16
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f33,f14369]) ).

fof(f14371,plain,
    ( sk0_0 = sum(n7,sum(n12,pred(n7)))
    | ~ spl0_16
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f394,f14370]) ).

fof(f14372,plain,
    ( sk0_0 = sum(n7,sum(n12,n6))
    | ~ spl0_16
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f32,f14371]) ).

fof(f14373,plain,
    ( sk0_0 = sum(n7,n18)
    | ~ spl0_16
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f304,f14372]) ).

fof(f14374,plain,
    ( sk0_0 = n4
    | ~ spl0_16
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f211,f14373]) ).

fof(f14375,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14374,f494]) ).

fof(f14376,plain,
    ( ~ spl0_16
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f14375]) ).

fof(f14418,plain,
    ( sk0_0 = sum(pred(sum(n15,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f767,f12154]) ).

fof(f14419,plain,
    ( sk0_0 = sum(pred(n17),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f363,f14418]) ).

fof(f14420,plain,
    ( sk0_0 = sum(n16,sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f42,f14419]) ).

fof(f14421,plain,
    ( sk0_0 = sum(n16,sum(n1,pred(sum(n15,n1))))
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f767,f14420]) ).

fof(f14422,plain,
    ( sk0_0 = sum(n16,sum(n1,pred(n16)))
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f362,f14421]) ).

fof(f14423,plain,
    ( sk0_0 = sum(n16,sum(n1,n15))
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f41,f14422]) ).

fof(f14424,plain,
    ( sk0_0 = sum(n16,n16)
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f82,f14423]) ).

fof(f14425,plain,
    ( sk0_0 = n11
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f398,f14424]) ).

fof(f14426,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14425,f501]) ).

fof(f14427,plain,
    ( ~ spl0_15
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f14426]) ).

fof(f14445,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f740,f489]) ).

fof(f14446,plain,
    ( sk0_0 = sum(pred(sum(n6,succ(sk0_2))),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f740,f14445]) ).

fof(f14486,plain,
    ( sk0_0 = sum(pred(sum(n6,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f740,f3465]) ).

fof(f14487,plain,
    ( sk0_0 = sum(pred(n17),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f183,f14486]) ).

fof(f14488,plain,
    ( sk0_0 = sum(n16,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f42,f14487]) ).

fof(f14489,plain,
    ( sk0_0 = sum(n16,sum(n10,pred(sum(n6,n10))))
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f740,f14488]) ).

fof(f14490,plain,
    ( sk0_0 = sum(n16,sum(n10,pred(n16)))
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f182,f14489]) ).

fof(f14491,plain,
    ( sk0_0 = sum(n16,sum(n10,n15))
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f41,f14490]) ).

fof(f14492,plain,
    ( sk0_0 = sum(n16,n4)
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f271,f14491]) ).

fof(f14493,plain,
    ( sk0_0 = n20
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f386,f14492]) ).

fof(f14494,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14493,f510]) ).

fof(f14495,plain,
    ( ~ spl0_6
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f14494]) ).

fof(f14496,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n4,sk0_2))))
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f734,f489]) ).

fof(f14497,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(sk0_2))),sum(sk0_2,pred(sum(n4,sk0_2))))
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f734,f14496]) ).

fof(f14537,plain,
    ( sk0_0 = sum(pred(sum(n4,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f734,f11122]) ).

fof(f14538,plain,
    ( sk0_0 = sum(pred(n10),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f136,f14537]) ).

fof(f14539,plain,
    ( sk0_0 = sum(n9,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f35,f14538]) ).

fof(f14540,plain,
    ( sk0_0 = sum(n9,sum(n5,pred(sum(n4,n5))))
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f734,f14539]) ).

fof(f14541,plain,
    ( sk0_0 = sum(n9,sum(n5,pred(n9)))
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f135,f14540]) ).

fof(f14542,plain,
    ( sk0_0 = sum(n9,sum(n5,n8))
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f34,f14541]) ).

fof(f14543,plain,
    ( sk0_0 = sum(n9,n13)
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f159,f14542]) ).

fof(f14544,plain,
    ( sk0_0 = n1
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f248,f14543]) ).

fof(f14545,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14544,f491]) ).

fof(f14546,plain,
    ( ~ spl0_4
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f14545]) ).

fof(f14571,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(n14,pred(sum(n19,n14))))
    | ~ spl0_19
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f779,f8557]) ).

fof(f14572,plain,
    ( sk0_0 = sum(pred(sum(n19,n15)),sum(n14,pred(sum(n19,n14))))
    | ~ spl0_19
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f779,f14571]) ).

fof(f14573,plain,
    ( sk0_0 = sum(pred(n13),sum(n14,pred(sum(n19,n14))))
    | ~ spl0_19
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f460,f14572]) ).

fof(f14574,plain,
    ( sk0_0 = sum(n12,sum(n14,pred(sum(n19,n14))))
    | ~ spl0_19
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f38,f14573]) ).

fof(f14575,plain,
    ( sk0_0 = sum(n12,sum(n14,pred(n12)))
    | ~ spl0_19
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f459,f14574]) ).

fof(f14576,plain,
    ( sk0_0 = sum(n12,sum(n14,n11))
    | ~ spl0_19
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f37,f14575]) ).

fof(f14577,plain,
    ( sk0_0 = sum(n12,n4)
    | ~ spl0_19
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f351,f14576]) ).

fof(f14578,plain,
    ( sk0_0 = n16
    | ~ spl0_19
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f302,f14577]) ).

fof(f14579,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14578,f506]) ).

fof(f14580,plain,
    ( ~ spl0_19
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f14579]) ).

fof(f14622,plain,
    ( sk0_0 = sum(pred(sum(n2,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f728,f4844]) ).

fof(f14623,plain,
    ( sk0_0 = sum(pred(n7),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f93,f14622]) ).

fof(f14624,plain,
    ( sk0_0 = sum(n6,sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f32,f14623]) ).

fof(f14625,plain,
    ( sk0_0 = sum(n6,sum(n4,pred(sum(n2,n4))))
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f728,f14624]) ).

fof(f14626,plain,
    ( sk0_0 = sum(n6,sum(n4,pred(n6)))
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f92,f14625]) ).

fof(f14627,plain,
    ( sk0_0 = sum(n6,sum(n4,n5))
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f31,f14626]) ).

fof(f14628,plain,
    ( sk0_0 = sum(n6,n9)
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f135,f14627]) ).

fof(f14629,plain,
    ( sk0_0 = n15
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f181,f14628]) ).

fof(f14630,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14629,f505]) ).

fof(f14631,plain,
    ( ~ spl0_2
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f14630]) ).

fof(f14675,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n10)),sum(n9,pred(sum(n13,n9))))
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f761,f3289]) ).

fof(f14676,plain,
    ( sk0_0 = sum(pred(sum(n13,n10)),sum(n9,pred(sum(n13,n9))))
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f761,f14675]) ).

fof(f14677,plain,
    ( sk0_0 = sum(pred(n2),sum(n9,pred(sum(n13,n9))))
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f329,f14676]) ).

fof(f14678,plain,
    ( sk0_0 = sum(n1,sum(n9,pred(sum(n13,n9))))
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f27,f14677]) ).

fof(f14679,plain,
    ( sk0_0 = sum(n1,sum(n9,pred(n1)))
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f328,f14678]) ).

fof(f14680,plain,
    ( sk0_0 = sum(n1,sum(n9,n0))
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f26,f14679]) ).

fof(f14681,plain,
    ( sk0_0 = sum(n1,n9)
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f235,f14680]) ).

fof(f14682,plain,
    ( sk0_0 = n10
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f76,f14681]) ).

fof(f14683,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14682,f500]) ).

fof(f14684,plain,
    ( ~ spl0_13
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f14683]) ).

fof(f14706,plain,
    ( sk0_0 = sum(pred(sum(n13,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_13
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f761,f12350]) ).

fof(f14707,plain,
    ( sk0_0 = sum(pred(n4),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_13
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f331,f14706]) ).

fof(f14708,plain,
    ( sk0_0 = sum(n3,sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_13
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f29,f14707]) ).

fof(f14709,plain,
    ( sk0_0 = sum(n3,sum(n11,pred(sum(n13,n11))))
    | ~ spl0_13
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f761,f14708]) ).

fof(f14710,plain,
    ( sk0_0 = sum(n3,sum(n11,pred(n3)))
    | ~ spl0_13
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f330,f14709]) ).

fof(f14711,plain,
    ( sk0_0 = sum(n3,sum(n11,n2))
    | ~ spl0_13
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f28,f14710]) ).

fof(f14712,plain,
    ( sk0_0 = sum(n3,n13)
    | ~ spl0_13
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f279,f14711]) ).

fof(f14713,plain,
    ( sk0_0 = n16
    | ~ spl0_13
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f122,f14712]) ).

fof(f14714,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14713,f506]) ).

fof(f14715,plain,
    ( ~ spl0_13
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f14714]) ).

fof(f14757,plain,
    ( sk0_0 = sum(pred(sum(n8,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f746,f12000]) ).

fof(f14758,plain,
    ( sk0_0 = sum(pred(n13),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f219,f14757]) ).

fof(f14759,plain,
    ( sk0_0 = sum(n12,sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f38,f14758]) ).

fof(f14760,plain,
    ( sk0_0 = sum(n12,sum(n4,pred(sum(n8,n4))))
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f746,f14759]) ).

fof(f14761,plain,
    ( sk0_0 = sum(n12,sum(n4,pred(n12)))
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f218,f14760]) ).

fof(f14762,plain,
    ( sk0_0 = sum(n12,sum(n4,n11))
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f37,f14761]) ).

fof(f14763,plain,
    ( sk0_0 = sum(n12,n15)
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f141,f14762]) ).

fof(f14764,plain,
    ( sk0_0 = n6
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f313,f14763]) ).

fof(f14765,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14764,f496]) ).

fof(f14766,plain,
    ( ~ spl0_8
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f14765]) ).

fof(f14767,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f749,f489]) ).

fof(f14768,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(sk0_2))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f749,f14767]) ).

fof(f14808,plain,
    ( sk0_0 = sum(pred(sum(n9,n2)),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f749,f8610]) ).

fof(f14809,plain,
    ( sk0_0 = sum(pred(n11),sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f237,f14808]) ).

fof(f14810,plain,
    ( sk0_0 = sum(n10,sum(n1,pred(sum(sk0_1,n1))))
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f36,f14809]) ).

fof(f14811,plain,
    ( sk0_0 = sum(n10,sum(n1,pred(sum(n9,n1))))
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f749,f14810]) ).

fof(f14812,plain,
    ( sk0_0 = sum(n10,sum(n1,pred(n10)))
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f236,f14811]) ).

fof(f14813,plain,
    ( sk0_0 = sum(n10,sum(n1,n9))
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f35,f14812]) ).

fof(f14814,plain,
    ( sk0_0 = sum(n10,n10)
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f76,f14813]) ).

fof(f14815,plain,
    ( sk0_0 = n20
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f266,f14814]) ).

fof(f14816,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14815,f510]) ).

fof(f14817,plain,
    ( ~ spl0_9
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f14816]) ).

fof(f14861,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(n7,pred(sum(n7,n7))))
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f743,f11019]) ).

fof(f14862,plain,
    ( sk0_0 = sum(pred(sum(n7,n8)),sum(n7,pred(sum(n7,n7))))
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f743,f14861]) ).

fof(f14863,plain,
    ( sk0_0 = sum(pred(n15),sum(n7,pred(sum(n7,n7))))
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f201,f14862]) ).

fof(f14864,plain,
    ( sk0_0 = sum(n14,sum(n7,pred(sum(n7,n7))))
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f40,f14863]) ).

fof(f14865,plain,
    ( sk0_0 = sum(n14,sum(n7,pred(n14)))
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f200,f14864]) ).

fof(f14866,plain,
    ( sk0_0 = sum(n14,sum(n7,n13))
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f39,f14865]) ).

fof(f14867,plain,
    ( sk0_0 = sum(n14,n20)
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f206,f14866]) ).

fof(f14868,plain,
    ( sk0_0 = n13
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f360,f14867]) ).

fof(f14869,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14868,f503]) ).

fof(f14870,plain,
    ( ~ spl0_7
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f14869]) ).

fof(f14912,plain,
    ( sk0_0 = sum(pred(sum(n17,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f773,f10793]) ).

fof(f14913,plain,
    ( sk0_0 = sum(pred(n5),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f412,f14912]) ).

fof(f14914,plain,
    ( sk0_0 = sum(n4,sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f30,f14913]) ).

fof(f14915,plain,
    ( sk0_0 = sum(n4,sum(n8,pred(sum(n17,n8))))
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f773,f14914]) ).

fof(f14916,plain,
    ( sk0_0 = sum(n4,sum(n8,pred(n4)))
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f411,f14915]) ).

fof(f14917,plain,
    ( sk0_0 = sum(n4,sum(n8,n3))
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f29,f14916]) ).

fof(f14918,plain,
    ( sk0_0 = sum(n4,n11)
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f217,f14917]) ).

fof(f14919,plain,
    ( sk0_0 = n15
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f141,f14918]) ).

fof(f14920,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14919,f505]) ).

fof(f14921,plain,
    ( ~ spl0_17
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f14920]) ).

fof(f14963,plain,
    ( sk0_0 = sum(pred(sum(n15,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f767,f4537]) ).

fof(f14964,plain,
    ( sk0_0 = sum(pred(n16),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f362,f14963]) ).

fof(f14965,plain,
    ( sk0_0 = sum(n15,sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f41,f14964]) ).

fof(f14966,plain,
    ( sk0_0 = sum(n15,sum(n0,pred(sum(n15,n0))))
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f767,f14965]) ).

fof(f14967,plain,
    ( sk0_0 = sum(n15,sum(n0,pred(n15)))
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f361,f14966]) ).

fof(f14968,plain,
    ( sk0_0 = sum(n15,sum(n0,n14))
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f40,f14967]) ).

fof(f14969,plain,
    ( sk0_0 = sum(n15,n14)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f60,f14968]) ).

fof(f14970,plain,
    ( sk0_0 = n8
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f375,f14969]) ).

fof(f14971,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14970,f498]) ).

fof(f14972,plain,
    ( ~ spl0_15
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f14971]) ).

fof(f14977,plain,
    ( sk0_0 = sum(pred(sum(n6,succ(n0))),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f786,f5286]) ).

fof(f14978,plain,
    ( sk0_0 = sum(pred(sum(n6,n1)),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f4,f14977]) ).

fof(f14979,plain,
    ( sk0_0 = sum(pred(n7),sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f173,f14978]) ).

fof(f14980,plain,
    ( sk0_0 = sum(n6,sum(sk0_2,pred(sum(n6,sk0_2))))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f32,f14979]) ).

fof(f14981,plain,
    ( sk0_0 = sum(n6,sum(n0,pred(sum(n6,sk0_2))))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f786,f14980]) ).

fof(f14982,plain,
    ( sk0_0 = sum(n6,sum(n0,pred(sum(n6,n0))))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f786,f14981]) ).

fof(f14983,plain,
    ( sk0_0 = sum(n6,sum(n0,pred(n6)))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f172,f14982]) ).

fof(f14984,plain,
    ( sk0_0 = sum(n6,sum(n0,n5))
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f31,f14983]) ).

fof(f14985,plain,
    ( sk0_0 = sum(n6,n5)
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f51,f14984]) ).

fof(f14986,plain,
    ( sk0_0 = n11
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f177,f14985]) ).

fof(f14987,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14986,f501]) ).

fof(f14988,plain,
    ( ~ spl0_21
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f14987]) ).

fof(f15011,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(sk0_2))),sum(sk0_2,pred(sum(n5,n1))))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f789,f11173]) ).

fof(f15012,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(n1))),sum(sk0_2,pred(sum(n5,n1))))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f789,f15011]) ).

fof(f15013,plain,
    ( sk0_0 = sum(pred(sum(n5,n2)),sum(sk0_2,pred(sum(n5,n1))))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f5,f15012]) ).

fof(f15014,plain,
    ( sk0_0 = sum(pred(n7),sum(sk0_2,pred(sum(n5,n1))))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f153,f15013]) ).

fof(f15015,plain,
    ( sk0_0 = sum(n6,sum(sk0_2,pred(sum(n5,n1))))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f32,f15014]) ).

fof(f15016,plain,
    ( sk0_0 = sum(n6,sum(n1,pred(sum(n5,n1))))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f789,f15015]) ).

fof(f15017,plain,
    ( sk0_0 = sum(n6,sum(n1,pred(n6)))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f152,f15016]) ).

fof(f15018,plain,
    ( sk0_0 = sum(n6,sum(n1,n5))
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f31,f15017]) ).

fof(f15019,plain,
    ( sk0_0 = sum(n6,n6)
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f72,f15018]) ).

fof(f15020,plain,
    ( sk0_0 = n12
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f178,f15019]) ).

fof(f15021,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15020,f502]) ).

fof(f15022,plain,
    ( ~ spl0_22
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f15021]) ).

fof(f15048,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(n14,pred(sum(n0,n14))))
    | ~ spl0_0
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f722,f13790]) ).

fof(f15049,plain,
    ( sk0_0 = sum(pred(sum(n0,n15)),sum(n14,pred(sum(n0,n14))))
    | ~ spl0_0
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f722,f15048]) ).

fof(f15050,plain,
    ( sk0_0 = sum(pred(n15),sum(n14,pred(sum(n0,n14))))
    | ~ spl0_0
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f61,f15049]) ).

fof(f15051,plain,
    ( sk0_0 = sum(n14,sum(n14,pred(sum(n0,n14))))
    | ~ spl0_0
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f40,f15050]) ).

fof(f15052,plain,
    ( sk0_0 = sum(n14,sum(n14,pred(n14)))
    | ~ spl0_0
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f60,f15051]) ).

fof(f15053,plain,
    ( sk0_0 = sum(n14,sum(n14,n13))
    | ~ spl0_0
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f39,f15052]) ).

fof(f15054,plain,
    ( sk0_0 = sum(n14,n6)
    | ~ spl0_0
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f353,f15053]) ).

fof(f15055,plain,
    ( sk0_0 = n20
    | ~ spl0_0
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f346,f15054]) ).

fof(f15056,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15055,f510]) ).

fof(f15057,plain,
    ( ~ spl0_0
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f15056]) ).

fof(f15078,plain,
    ( sk0_0 = sum(pred(sum(n2,succ(sk0_2))),sum(sk0_2,pred(sum(n2,n12))))
    | ~ spl0_33
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f822,f5703]) ).

fof(f15079,plain,
    ( sk0_0 = sum(pred(sum(n2,succ(n12))),sum(sk0_2,pred(sum(n2,n12))))
    | ~ spl0_33
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f822,f15078]) ).

fof(f15080,plain,
    ( sk0_0 = sum(pred(sum(n2,n13)),sum(sk0_2,pred(sum(n2,n12))))
    | ~ spl0_33
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f16,f15079]) ).

fof(f15081,plain,
    ( sk0_0 = sum(pred(n15),sum(sk0_2,pred(sum(n2,n12))))
    | ~ spl0_33
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f101,f15080]) ).

fof(f15082,plain,
    ( sk0_0 = sum(n14,sum(sk0_2,pred(sum(n2,n12))))
    | ~ spl0_33
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f40,f15081]) ).

fof(f15083,plain,
    ( sk0_0 = sum(n14,sum(n12,pred(sum(n2,n12))))
    | ~ spl0_33
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f822,f15082]) ).

fof(f15084,plain,
    ( sk0_0 = sum(n14,sum(n12,pred(n14)))
    | ~ spl0_33
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f100,f15083]) ).

fof(f15085,plain,
    ( sk0_0 = sum(n14,sum(n12,n13))
    | ~ spl0_33
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f39,f15084]) ).

fof(f15086,plain,
    ( sk0_0 = sum(n14,n4)
    | ~ spl0_33
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f311,f15085]) ).

fof(f15087,plain,
    ( sk0_0 = n18
    | ~ spl0_33
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f344,f15086]) ).

fof(f15088,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15087,f508]) ).

fof(f15089,plain,
    ( ~ spl0_33
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f15088]) ).

fof(f15090,plain,
    ( sk0_0 = sum(pred(sum(n2,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f728,f8663]) ).

fof(f15091,plain,
    ( sk0_0 = sum(pred(n11),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f97,f15090]) ).

fof(f15092,plain,
    ( sk0_0 = sum(n10,sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f36,f15091]) ).

fof(f15093,plain,
    ( sk0_0 = sum(n10,sum(n8,pred(sum(n2,n8))))
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f728,f15092]) ).

fof(f15094,plain,
    ( sk0_0 = sum(n10,sum(n8,pred(n10)))
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f96,f15093]) ).

fof(f15095,plain,
    ( sk0_0 = sum(n10,sum(n8,n9))
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f35,f15094]) ).

fof(f15096,plain,
    ( sk0_0 = sum(n10,n17)
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f223,f15095]) ).

fof(f15097,plain,
    ( sk0_0 = n6
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f273,f15096]) ).

fof(f15098,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15097,f496]) ).

fof(f15099,plain,
    ( ~ spl0_2
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f15098]) ).

fof(f15120,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f813,f489]) ).

fof(f15121,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n9))),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f813,f15120]) ).

fof(f15122,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n10)),sum(sk0_2,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f13,f15121]) ).

fof(f15123,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f813,f15122]) ).

fof(f15164,plain,
    ( sk0_0 = sum(pred(sum(n19,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f779,f13170]) ).

fof(f15165,plain,
    ( sk0_0 = sum(pred(n8),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f455,f15164]) ).

fof(f15166,plain,
    ( sk0_0 = sum(n7,sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f33,f15165]) ).

fof(f15167,plain,
    ( sk0_0 = sum(n7,sum(n9,pred(sum(n19,n9))))
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f779,f15166]) ).

fof(f15168,plain,
    ( sk0_0 = sum(n7,sum(n9,pred(n7)))
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f454,f15167]) ).

fof(f15169,plain,
    ( sk0_0 = sum(n7,sum(n9,n6))
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f32,f15168]) ).

fof(f15170,plain,
    ( sk0_0 = sum(n7,n15)
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f241,f15169]) ).

fof(f15171,plain,
    ( sk0_0 = n1
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f208,f15170]) ).

fof(f15172,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15171,f491]) ).

fof(f15173,plain,
    ( ~ spl0_19
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f15172]) ).

fof(f15174,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f746,f489]) ).

fof(f15175,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(sk0_2))),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f746,f15174]) ).

fof(f15215,plain,
    ( sk0_0 = sum(pred(sum(n8,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f746,f10584]) ).

fof(f15216,plain,
    ( sk0_0 = sum(pred(n9),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f215,f15215]) ).

fof(f15217,plain,
    ( sk0_0 = sum(n8,sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f34,f15216]) ).

fof(f15218,plain,
    ( sk0_0 = sum(n8,sum(n0,pred(sum(n8,n0))))
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f746,f15217]) ).

fof(f15219,plain,
    ( sk0_0 = sum(n8,sum(n0,pred(n8)))
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f214,f15218]) ).

fof(f15220,plain,
    ( sk0_0 = sum(n8,sum(n0,n7))
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f33,f15219]) ).

fof(f15221,plain,
    ( sk0_0 = sum(n8,n7)
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f53,f15220]) ).

fof(f15222,plain,
    ( sk0_0 = n15
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f221,f15221]) ).

fof(f15223,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15222,f505]) ).

fof(f15224,plain,
    ( ~ spl0_8
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f15223]) ).

fof(f15247,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(sk0_2))),sum(sk0_2,pred(sum(n9,n4))))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f798,f8240]) ).

fof(f15248,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(n4))),sum(sk0_2,pred(sum(n9,n4))))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f798,f15247]) ).

fof(f15249,plain,
    ( sk0_0 = sum(pred(sum(n9,n5)),sum(sk0_2,pred(sum(n9,n4))))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f8,f15248]) ).

fof(f15250,plain,
    ( sk0_0 = sum(pred(n14),sum(sk0_2,pred(sum(n9,n4))))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f240,f15249]) ).

fof(f15251,plain,
    ( sk0_0 = sum(n13,sum(sk0_2,pred(sum(n9,n4))))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f39,f15250]) ).

fof(f15252,plain,
    ( sk0_0 = sum(n13,sum(n4,pred(sum(n9,n4))))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f798,f15251]) ).

fof(f15253,plain,
    ( sk0_0 = sum(n13,sum(n4,pred(n13)))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f239,f15252]) ).

fof(f15254,plain,
    ( sk0_0 = sum(n13,sum(n4,n12))
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f38,f15253]) ).

fof(f15255,plain,
    ( sk0_0 = sum(n13,n16)
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f142,f15254]) ).

fof(f15256,plain,
    ( sk0_0 = n8
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f335,f15255]) ).

fof(f15257,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15256,f498]) ).

fof(f15258,plain,
    ( ~ spl0_25
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f15257]) ).

fof(f15259,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f807,f489]) ).

fof(f15260,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n7))),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f807,f15259]) ).

fof(f15261,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f11,f15260]) ).

fof(f15262,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f807,f15261]) ).

fof(f15303,plain,
    ( sk0_0 = sum(pred(sum(n10,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_10
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f752,f14134]) ).

fof(f15304,plain,
    ( sk0_0 = sum(pred(n18),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_10
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f264,f15303]) ).

fof(f15305,plain,
    ( sk0_0 = sum(n17,sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_10
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f43,f15304]) ).

fof(f15306,plain,
    ( sk0_0 = sum(n17,sum(n7,pred(sum(n10,n7))))
    | ~ spl0_10
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f752,f15305]) ).

fof(f15307,plain,
    ( sk0_0 = sum(n17,sum(n7,pred(n17)))
    | ~ spl0_10
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f263,f15306]) ).

fof(f15308,plain,
    ( sk0_0 = sum(n17,sum(n7,n16))
    | ~ spl0_10
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f42,f15307]) ).

fof(f15309,plain,
    ( sk0_0 = sum(n17,n2)
    | ~ spl0_10
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f209,f15308]) ).

fof(f15310,plain,
    ( sk0_0 = n19
    | ~ spl0_10
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f405,f15309]) ).

fof(f15311,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15310,f509]) ).

fof(f15312,plain,
    ( ~ spl0_10
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f15311]) ).

fof(f15354,plain,
    ( sk0_0 = sum(pred(sum(n17,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f773,f11913]) ).

fof(f15355,plain,
    ( sk0_0 = sum(pred(n10),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f417,f15354]) ).

fof(f15356,plain,
    ( sk0_0 = sum(n9,sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f35,f15355]) ).

fof(f15357,plain,
    ( sk0_0 = sum(n9,sum(n13,pred(sum(n17,n13))))
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f773,f15356]) ).

fof(f15358,plain,
    ( sk0_0 = sum(n9,sum(n13,pred(n9)))
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f416,f15357]) ).

fof(f15359,plain,
    ( sk0_0 = sum(n9,sum(n13,n8))
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f34,f15358]) ).

fof(f15360,plain,
    ( sk0_0 = sum(n9,n0)
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f327,f15359]) ).

fof(f15361,plain,
    ( sk0_0 = n9
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f235,f15360]) ).

fof(f15362,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15361,f499]) ).

fof(f15363,plain,
    ( ~ spl0_17
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f15362]) ).

fof(f15386,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(sk0_2))),sum(sk0_2,pred(sum(n15,n5))))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f801,f6753]) ).

fof(f15387,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(n5))),sum(sk0_2,pred(sum(n15,n5))))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f801,f15386]) ).

fof(f15388,plain,
    ( sk0_0 = sum(pred(sum(n15,n6)),sum(sk0_2,pred(sum(n15,n5))))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f9,f15387]) ).

fof(f15389,plain,
    ( sk0_0 = sum(pred(n0),sum(sk0_2,pred(sum(n15,n5))))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f367,f15388]) ).

fof(f15390,plain,
    ( sk0_0 = sum(n20,sum(sk0_2,pred(sum(n15,n5))))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f25,f15389]) ).

fof(f15391,plain,
    ( sk0_0 = sum(n20,sum(n5,pred(sum(n15,n5))))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f801,f15390]) ).

fof(f15392,plain,
    ( sk0_0 = sum(n20,sum(n5,pred(n20)))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f366,f15391]) ).

fof(f15393,plain,
    ( sk0_0 = sum(n20,sum(n5,n19))
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f45,f15392]) ).

fof(f15394,plain,
    ( sk0_0 = sum(n20,n3)
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f170,f15393]) ).

fof(f15395,plain,
    ( sk0_0 = n2
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f469,f15394]) ).

fof(f15396,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15395,f492]) ).

fof(f15397,plain,
    ( ~ spl0_26
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f15396]) ).

fof(f15420,plain,
    ( sk0_0 = sum(pred(sum(n6,succ(sk0_2))),sum(sk0_2,pred(sum(n6,n13))))
    | ~ spl0_34
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f825,f11671]) ).

fof(f15421,plain,
    ( sk0_0 = sum(pred(sum(n6,succ(n13))),sum(sk0_2,pred(sum(n6,n13))))
    | ~ spl0_34
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f825,f15420]) ).

fof(f15422,plain,
    ( sk0_0 = sum(pred(sum(n6,n14)),sum(sk0_2,pred(sum(n6,n13))))
    | ~ spl0_34
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f17,f15421]) ).

fof(f15423,plain,
    ( sk0_0 = sum(pred(n20),sum(sk0_2,pred(sum(n6,n13))))
    | ~ spl0_34
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f186,f15422]) ).

fof(f15424,plain,
    ( sk0_0 = sum(n19,sum(sk0_2,pred(sum(n6,n13))))
    | ~ spl0_34
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f45,f15423]) ).

fof(f15425,plain,
    ( sk0_0 = sum(n19,sum(n13,pred(sum(n6,n13))))
    | ~ spl0_34
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f825,f15424]) ).

fof(f15426,plain,
    ( sk0_0 = sum(n19,sum(n13,pred(n19)))
    | ~ spl0_34
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f185,f15425]) ).

fof(f15427,plain,
    ( sk0_0 = sum(n19,sum(n13,n18))
    | ~ spl0_34
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f44,f15426]) ).

fof(f15428,plain,
    ( sk0_0 = sum(n19,n10)
    | ~ spl0_34
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f337,f15427]) ).

fof(f15429,plain,
    ( sk0_0 = n8
    | ~ spl0_34
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f455,f15428]) ).

fof(f15430,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15429,f498]) ).

fof(f15431,plain,
    ( ~ spl0_34
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f15430]) ).

fof(f15473,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(sk0_2))),sum(sk0_2,pred(sum(n4,n1))))
    | ~ spl0_22
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f789,f11225]) ).

fof(f15474,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(n1))),sum(sk0_2,pred(sum(n4,n1))))
    | ~ spl0_22
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f789,f15473]) ).

fof(f15475,plain,
    ( sk0_0 = sum(pred(sum(n4,n2)),sum(sk0_2,pred(sum(n4,n1))))
    | ~ spl0_22
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f5,f15474]) ).

fof(f15476,plain,
    ( sk0_0 = sum(pred(n6),sum(sk0_2,pred(sum(n4,n1))))
    | ~ spl0_22
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f132,f15475]) ).

fof(f15477,plain,
    ( sk0_0 = sum(n5,sum(sk0_2,pred(sum(n4,n1))))
    | ~ spl0_22
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f31,f15476]) ).

fof(f15478,plain,
    ( sk0_0 = sum(n5,sum(n1,pred(sum(n4,n1))))
    | ~ spl0_22
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f789,f15477]) ).

fof(f15479,plain,
    ( sk0_0 = sum(n5,sum(n1,pred(n5)))
    | ~ spl0_22
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f131,f15478]) ).

fof(f15480,plain,
    ( sk0_0 = sum(n5,sum(n1,n4))
    | ~ spl0_22
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f30,f15479]) ).

fof(f15481,plain,
    ( sk0_0 = sum(n5,n5)
    | ~ spl0_22
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f71,f15480]) ).

fof(f15482,plain,
    ( sk0_0 = n10
    | ~ spl0_22
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f156,f15481]) ).

fof(f15483,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15482,f500]) ).

fof(f15484,plain,
    ( ~ spl0_22
    | ~ spl0_4 ),
    inference(contradiction_clause,[status(thm)],[f15483]) ).

fof(f15485,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f828,f489]) ).

fof(f15486,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n14))),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f828,f15485]) ).

fof(f15487,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f18,f15486]) ).

fof(f15488,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f828,f15487]) ).

fof(f15529,plain,
    ( sk0_0 = sum(pred(sum(n1,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_1
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f725,f12120]) ).

fof(f15530,plain,
    ( sk0_0 = sum(pred(n16),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_1
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f82,f15529]) ).

fof(f15531,plain,
    ( sk0_0 = sum(n15,sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_1
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f41,f15530]) ).

fof(f15532,plain,
    ( sk0_0 = sum(n15,sum(n14,pred(sum(n1,n14))))
    | ~ spl0_1
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f725,f15531]) ).

fof(f15533,plain,
    ( sk0_0 = sum(n15,sum(n14,pred(n15)))
    | ~ spl0_1
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f81,f15532]) ).

fof(f15534,plain,
    ( sk0_0 = sum(n15,sum(n14,n14))
    | ~ spl0_1
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f40,f15533]) ).

fof(f15535,plain,
    ( sk0_0 = sum(n15,n7)
    | ~ spl0_1
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f354,f15534]) ).

fof(f15536,plain,
    ( sk0_0 = n1
    | ~ spl0_1
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f368,f15535]) ).

fof(f15537,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15536,f491]) ).

fof(f15538,plain,
    ( ~ spl0_1
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f15537]) ).

fof(f15539,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(backward_demodulation,[status(thm)],[f819,f489]) ).

fof(f15540,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n11))),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f819,f15539]) ).

fof(f15541,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n12)),sum(sk0_2,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f15,f15540]) ).

fof(f15542,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f819,f15541]) ).

fof(f15583,plain,
    ( sk0_0 = sum(pred(sum(n2,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_2
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f728,f13979]) ).

fof(f15584,plain,
    ( sk0_0 = sum(pred(n14),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_2
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f100,f15583]) ).

fof(f15585,plain,
    ( sk0_0 = sum(n13,sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_2
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f39,f15584]) ).

fof(f15586,plain,
    ( sk0_0 = sum(n13,sum(n11,pred(sum(n2,n11))))
    | ~ spl0_2
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f728,f15585]) ).

fof(f15587,plain,
    ( sk0_0 = sum(n13,sum(n11,pred(n13)))
    | ~ spl0_2
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f99,f15586]) ).

fof(f15588,plain,
    ( sk0_0 = sum(n13,sum(n11,n12))
    | ~ spl0_2
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f38,f15587]) ).

fof(f15589,plain,
    ( sk0_0 = sum(n13,n2)
    | ~ spl0_2
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f289,f15588]) ).

fof(f15590,plain,
    ( sk0_0 = n15
    | ~ spl0_2
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f321,f15589]) ).

fof(f15591,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15590,f505]) ).

fof(f15592,plain,
    ( ~ spl0_2
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f15591]) ).

fof(f15595,plain,
    ( sk0_0 = sum(pred(sum(n2,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f728,f8750]) ).

fof(f15596,plain,
    ( sk0_0 = sum(pred(n13),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f99,f15595]) ).

fof(f15597,plain,
    ( sk0_0 = sum(n12,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f38,f15596]) ).

fof(f15598,plain,
    ( sk0_0 = sum(n12,sum(n10,pred(sum(n2,n10))))
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f728,f15597]) ).

fof(f15599,plain,
    ( sk0_0 = sum(n12,sum(n10,pred(n12)))
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f98,f15598]) ).

fof(f15600,plain,
    ( sk0_0 = sum(n12,sum(n10,n11))
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f37,f15599]) ).

fof(f15601,plain,
    ( sk0_0 = sum(n12,n0)
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f267,f15600]) ).

fof(f15602,plain,
    ( sk0_0 = n12
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f298,f15601]) ).

fof(f15603,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15602,f502]) ).

fof(f15604,plain,
    ( ~ spl0_2
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f15603]) ).

fof(f15605,plain,
    ( sk0_0 = sum(pred(sum(n2,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f728,f3895]) ).

fof(f15606,plain,
    ( sk0_0 = sum(pred(n8),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f94,f15605]) ).

fof(f15607,plain,
    ( sk0_0 = sum(n7,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f33,f15606]) ).

fof(f15608,plain,
    ( sk0_0 = sum(n7,sum(n5,pred(sum(n2,n5))))
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f728,f15607]) ).

fof(f15609,plain,
    ( sk0_0 = sum(n7,sum(n5,pred(n7)))
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f93,f15608]) ).

fof(f15610,plain,
    ( sk0_0 = sum(n7,sum(n5,n6))
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f32,f15609]) ).

fof(f15611,plain,
    ( sk0_0 = sum(n7,n11)
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f157,f15610]) ).

fof(f15612,plain,
    ( sk0_0 = n18
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f204,f15611]) ).

fof(f15613,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15612,f508]) ).

fof(f15614,plain,
    ( ~ spl0_2
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f15613]) ).

fof(f15615,plain,
    ( sk0_0 = sum(pred(sum(n2,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_2
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f728,f8716]) ).

fof(f15616,plain,
    ( sk0_0 = sum(pred(n12),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_2
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f98,f15615]) ).

fof(f15617,plain,
    ( sk0_0 = sum(n11,sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_2
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f37,f15616]) ).

fof(f15618,plain,
    ( sk0_0 = sum(n11,sum(n9,pred(sum(n2,n9))))
    | ~ spl0_2
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f728,f15617]) ).

fof(f15619,plain,
    ( sk0_0 = sum(n11,sum(n9,pred(n11)))
    | ~ spl0_2
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f97,f15618]) ).

fof(f15620,plain,
    ( sk0_0 = sum(n11,sum(n9,n10))
    | ~ spl0_2
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f36,f15619]) ).

fof(f15621,plain,
    ( sk0_0 = sum(n11,n19)
    | ~ spl0_2
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f245,f15620]) ).

fof(f15622,plain,
    ( sk0_0 = n9
    | ~ spl0_2
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f296,f15621]) ).

fof(f15623,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15622,f499]) ).

fof(f15624,plain,
    ( ~ spl0_2
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f15623]) ).

fof(f15663,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(sk0_2))),sum(sk0_2,pred(sum(n8,n13))))
    | ~ spl0_34
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f825,f11276]) ).

fof(f15664,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(n13))),sum(sk0_2,pred(sum(n8,n13))))
    | ~ spl0_34
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f825,f15663]) ).

fof(f15665,plain,
    ( sk0_0 = sum(pred(sum(n8,n14)),sum(sk0_2,pred(sum(n8,n13))))
    | ~ spl0_34
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f17,f15664]) ).

fof(f15666,plain,
    ( sk0_0 = sum(pred(n1),sum(sk0_2,pred(sum(n8,n13))))
    | ~ spl0_34
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f228,f15665]) ).

fof(f15667,plain,
    ( sk0_0 = sum(n0,sum(sk0_2,pred(sum(n8,n13))))
    | ~ spl0_34
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f26,f15666]) ).

fof(f15668,plain,
    ( sk0_0 = sum(n0,sum(n13,pred(sum(n8,n13))))
    | ~ spl0_34
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f825,f15667]) ).

fof(f15669,plain,
    ( sk0_0 = sum(n0,sum(n13,pred(n0)))
    | ~ spl0_34
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f227,f15668]) ).

fof(f15670,plain,
    ( sk0_0 = sum(n0,sum(n13,n20))
    | ~ spl0_34
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f25,f15669]) ).

fof(f15671,plain,
    ( sk0_0 = sum(n0,n12)
    | ~ spl0_34
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f339,f15670]) ).

fof(f15672,plain,
    ( sk0_0 = n12
    | ~ spl0_34
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f58,f15671]) ).

fof(f15673,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15672,f502]) ).

fof(f15674,plain,
    ( ~ spl0_34
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f15673]) ).

fof(f15675,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f749,f489]) ).

fof(f15676,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(sk0_2))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f749,f15675]) ).

fof(f15716,plain,
    ( sk0_0 = sum(pred(sum(n9,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_9
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f749,f4447]) ).

fof(f15717,plain,
    ( sk0_0 = sum(pred(n18),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_9
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f244,f15716]) ).

fof(f15718,plain,
    ( sk0_0 = sum(n17,sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_9
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f43,f15717]) ).

fof(f15719,plain,
    ( sk0_0 = sum(n17,sum(n8,pred(sum(n9,n8))))
    | ~ spl0_9
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f749,f15718]) ).

fof(f15720,plain,
    ( sk0_0 = sum(n17,sum(n8,pred(n17)))
    | ~ spl0_9
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f243,f15719]) ).

fof(f15721,plain,
    ( sk0_0 = sum(n17,sum(n8,n16))
    | ~ spl0_9
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f42,f15720]) ).

fof(f15722,plain,
    ( sk0_0 = sum(n17,n3)
    | ~ spl0_9
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f230,f15721]) ).

fof(f15723,plain,
    ( sk0_0 = n20
    | ~ spl0_9
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f406,f15722]) ).

fof(f15724,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15723,f510]) ).

fof(f15725,plain,
    ( ~ spl0_9
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f15724]) ).

fof(f15726,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f807,f489]) ).

fof(f15727,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n7))),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f807,f15726]) ).

fof(f15728,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(sk0_2,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f11,f15727]) ).

fof(f15729,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f807,f15728]) ).

fof(f15770,plain,
    ( sk0_0 = sum(pred(sum(n2,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_2
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f728,f12610]) ).

fof(f15771,plain,
    ( sk0_0 = sum(pred(n10),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_2
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f96,f15770]) ).

fof(f15772,plain,
    ( sk0_0 = sum(n9,sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_2
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f35,f15771]) ).

fof(f15773,plain,
    ( sk0_0 = sum(n9,sum(n7,pred(sum(n2,n7))))
    | ~ spl0_2
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f728,f15772]) ).

fof(f15774,plain,
    ( sk0_0 = sum(n9,sum(n7,pred(n9)))
    | ~ spl0_2
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f95,f15773]) ).

fof(f15775,plain,
    ( sk0_0 = sum(n9,sum(n7,n8))
    | ~ spl0_2
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f34,f15774]) ).

fof(f15776,plain,
    ( sk0_0 = sum(n9,n15)
    | ~ spl0_2
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f201,f15775]) ).

fof(f15777,plain,
    ( sk0_0 = n3
    | ~ spl0_2
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f250,f15776]) ).

fof(f15778,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15777,f493]) ).

fof(f15779,plain,
    ( ~ spl0_2
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f15778]) ).

fof(f15819,plain,
    ( sk0_0 = sum(pred(sum(n17,succ(sk0_2))),sum(sk0_2,pred(sum(n17,n4))))
    | ~ spl0_25
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f798,f6787]) ).

fof(f15820,plain,
    ( sk0_0 = sum(pred(sum(n17,succ(n4))),sum(sk0_2,pred(sum(n17,n4))))
    | ~ spl0_25
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f798,f15819]) ).

fof(f15821,plain,
    ( sk0_0 = sum(pred(sum(n17,n5)),sum(sk0_2,pred(sum(n17,n4))))
    | ~ spl0_25
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f8,f15820]) ).

fof(f15822,plain,
    ( sk0_0 = sum(pred(n1),sum(sk0_2,pred(sum(n17,n4))))
    | ~ spl0_25
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f408,f15821]) ).

fof(f15823,plain,
    ( sk0_0 = sum(n0,sum(sk0_2,pred(sum(n17,n4))))
    | ~ spl0_25
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f26,f15822]) ).

fof(f15824,plain,
    ( sk0_0 = sum(n0,sum(n4,pred(sum(n17,n4))))
    | ~ spl0_25
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f798,f15823]) ).

fof(f15825,plain,
    ( sk0_0 = sum(n0,sum(n4,pred(n0)))
    | ~ spl0_25
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f407,f15824]) ).

fof(f15826,plain,
    ( sk0_0 = sum(n0,sum(n4,n20))
    | ~ spl0_25
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f25,f15825]) ).

fof(f15827,plain,
    ( sk0_0 = sum(n0,n3)
    | ~ spl0_25
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f150,f15826]) ).

fof(f15828,plain,
    ( sk0_0 = n3
    | ~ spl0_25
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f49,f15827]) ).

fof(f15829,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15828,f493]) ).

fof(f15830,plain,
    ( ~ spl0_25
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f15829]) ).

fof(f15870,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(sk0_2))),sum(sk0_2,pred(sum(n15,n12))))
    | ~ spl0_33
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f822,f7367]) ).

fof(f15871,plain,
    ( sk0_0 = sum(pred(sum(n15,succ(n12))),sum(sk0_2,pred(sum(n15,n12))))
    | ~ spl0_33
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f822,f15870]) ).

fof(f15872,plain,
    ( sk0_0 = sum(pred(sum(n15,n13)),sum(sk0_2,pred(sum(n15,n12))))
    | ~ spl0_33
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f16,f15871]) ).

fof(f15873,plain,
    ( sk0_0 = sum(pred(n7),sum(sk0_2,pred(sum(n15,n12))))
    | ~ spl0_33
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f374,f15872]) ).

fof(f15874,plain,
    ( sk0_0 = sum(n6,sum(sk0_2,pred(sum(n15,n12))))
    | ~ spl0_33
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f32,f15873]) ).

fof(f15875,plain,
    ( sk0_0 = sum(n6,sum(n12,pred(sum(n15,n12))))
    | ~ spl0_33
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f822,f15874]) ).

fof(f15876,plain,
    ( sk0_0 = sum(n6,sum(n12,pred(n6)))
    | ~ spl0_33
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f373,f15875]) ).

fof(f15877,plain,
    ( sk0_0 = sum(n6,sum(n12,n5))
    | ~ spl0_33
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f31,f15876]) ).

fof(f15878,plain,
    ( sk0_0 = sum(n6,n17)
    | ~ spl0_33
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f303,f15877]) ).

fof(f15879,plain,
    ( sk0_0 = n2
    | ~ spl0_33
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f189,f15878]) ).

fof(f15880,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15879,f492]) ).

fof(f15881,plain,
    ( ~ spl0_33
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f15880]) ).

fof(f15882,plain,
    ( sk0_0 = sum(pred(sum(n15,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_15
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f767,f10057]) ).

fof(f15883,plain,
    ( sk0_0 = sum(pred(n13),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_15
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f380,f15882]) ).

fof(f15884,plain,
    ( sk0_0 = sum(n12,sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_15
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f38,f15883]) ).

fof(f15885,plain,
    ( sk0_0 = sum(n12,sum(n18,pred(sum(n15,n18))))
    | ~ spl0_15
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f767,f15884]) ).

fof(f15886,plain,
    ( sk0_0 = sum(n12,sum(n18,pred(n12)))
    | ~ spl0_15
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f379,f15885]) ).

fof(f15887,plain,
    ( sk0_0 = sum(n12,sum(n18,n11))
    | ~ spl0_15
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f37,f15886]) ).

fof(f15888,plain,
    ( sk0_0 = sum(n12,n8)
    | ~ spl0_15
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f435,f15887]) ).

fof(f15889,plain,
    ( sk0_0 = n20
    | ~ spl0_15
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f306,f15888]) ).

fof(f15890,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15889,f510]) ).

fof(f15891,plain,
    ( ~ spl0_15
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f15890]) ).

fof(f15933,plain,
    ( sk0_0 = sum(pred(sum(n6,succ(sk0_2))),sum(sk0_2,pred(sum(n6,n1))))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f789,f14446]) ).

fof(f15934,plain,
    ( sk0_0 = sum(pred(sum(n6,succ(n1))),sum(sk0_2,pred(sum(n6,n1))))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f789,f15933]) ).

fof(f15935,plain,
    ( sk0_0 = sum(pred(sum(n6,n2)),sum(sk0_2,pred(sum(n6,n1))))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f5,f15934]) ).

fof(f15936,plain,
    ( sk0_0 = sum(pred(n8),sum(sk0_2,pred(sum(n6,n1))))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f174,f15935]) ).

fof(f15937,plain,
    ( sk0_0 = sum(n7,sum(sk0_2,pred(sum(n6,n1))))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f33,f15936]) ).

fof(f15938,plain,
    ( sk0_0 = sum(n7,sum(n1,pred(sum(n6,n1))))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f789,f15937]) ).

fof(f15939,plain,
    ( sk0_0 = sum(n7,sum(n1,pred(n7)))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f173,f15938]) ).

fof(f15940,plain,
    ( sk0_0 = sum(n7,sum(n1,n6))
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f32,f15939]) ).

fof(f15941,plain,
    ( sk0_0 = sum(n7,n7)
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f73,f15940]) ).

fof(f15942,plain,
    ( sk0_0 = n14
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f200,f15941]) ).

fof(f15943,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15942,f504]) ).

fof(f15944,plain,
    ( ~ spl0_22
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f15943]) ).

fof(f15986,plain,
    ( sk0_0 = sum(pred(sum(n5,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f737,f12104]) ).

fof(f15987,plain,
    ( sk0_0 = sum(pred(n6),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f152,f15986]) ).

fof(f15988,plain,
    ( sk0_0 = sum(n5,sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f31,f15987]) ).

fof(f15989,plain,
    ( sk0_0 = sum(n5,sum(n0,pred(sum(n5,n0))))
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f737,f15988]) ).

fof(f15990,plain,
    ( sk0_0 = sum(n5,sum(n0,pred(n5)))
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f151,f15989]) ).

fof(f15991,plain,
    ( sk0_0 = sum(n5,sum(n0,n4))
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f30,f15990]) ).

fof(f15992,plain,
    ( sk0_0 = sum(n5,n4)
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f50,f15991]) ).

fof(f15993,plain,
    ( sk0_0 = n9
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f155,f15992]) ).

fof(f15994,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f15993,f499]) ).

fof(f15995,plain,
    ( ~ spl0_5
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f15994]) ).

fof(f15996,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f828,f489]) ).

fof(f15997,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(n14))),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f828,f15996]) ).

fof(f15998,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(sk0_2,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f18,f15997]) ).

fof(f15999,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f828,f15998]) ).

fof(f16040,plain,
    ( sk0_0 = sum(pred(sum(n15,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_15
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f767,f8557]) ).

fof(f16041,plain,
    ( sk0_0 = sum(pred(n9),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_15
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f376,f16040]) ).

fof(f16042,plain,
    ( sk0_0 = sum(n8,sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_15
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f34,f16041]) ).

fof(f16043,plain,
    ( sk0_0 = sum(n8,sum(n14,pred(sum(n15,n14))))
    | ~ spl0_15
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f767,f16042]) ).

fof(f16044,plain,
    ( sk0_0 = sum(n8,sum(n14,pred(n8)))
    | ~ spl0_15
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f375,f16043]) ).

fof(f16045,plain,
    ( sk0_0 = sum(n8,sum(n14,n7))
    | ~ spl0_15
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f33,f16044]) ).

fof(f16046,plain,
    ( sk0_0 = sum(n8,n0)
    | ~ spl0_15
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f347,f16045]) ).

fof(f16047,plain,
    ( sk0_0 = n8
    | ~ spl0_15
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f214,f16046]) ).

fof(f16048,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16047,f498]) ).

fof(f16049,plain,
    ( ~ spl0_15
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f16048]) ).

fof(f16052,plain,
    ( sk0_0 = sum(pred(sum(n15,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f767,f12295]) ).

fof(f16053,plain,
    ( sk0_0 = sum(pred(n5),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f372,f16052]) ).

fof(f16054,plain,
    ( sk0_0 = sum(n4,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f30,f16053]) ).

fof(f16055,plain,
    ( sk0_0 = sum(n4,sum(n10,pred(sum(n15,n10))))
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f767,f16054]) ).

fof(f16056,plain,
    ( sk0_0 = sum(n4,sum(n10,pred(n4)))
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f371,f16055]) ).

fof(f16057,plain,
    ( sk0_0 = sum(n4,sum(n10,n3))
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f29,f16056]) ).

fof(f16058,plain,
    ( sk0_0 = sum(n4,n13)
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f259,f16057]) ).

fof(f16059,plain,
    ( sk0_0 = n17
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f143,f16058]) ).

fof(f16060,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16059,f507]) ).

fof(f16061,plain,
    ( ~ spl0_15
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f16060]) ).

fof(f16062,plain,
    ( sk0_0 = sum(pred(sum(n15,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_15
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f767,f10897]) ).

fof(f16063,plain,
    ( sk0_0 = sum(pred(n6),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_15
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f373,f16062]) ).

fof(f16064,plain,
    ( sk0_0 = sum(n5,sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_15
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f31,f16063]) ).

fof(f16065,plain,
    ( sk0_0 = sum(n5,sum(n11,pred(sum(n15,n11))))
    | ~ spl0_15
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f767,f16064]) ).

fof(f16066,plain,
    ( sk0_0 = sum(n5,sum(n11,pred(n5)))
    | ~ spl0_15
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f372,f16065]) ).

fof(f16067,plain,
    ( sk0_0 = sum(n5,sum(n11,n4))
    | ~ spl0_15
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f30,f16066]) ).

fof(f16068,plain,
    ( sk0_0 = sum(n5,n15)
    | ~ spl0_15
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f281,f16067]) ).

fof(f16069,plain,
    ( sk0_0 = n20
    | ~ spl0_15
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f166,f16068]) ).

fof(f16070,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16069,f510]) ).

fof(f16071,plain,
    ( ~ spl0_15
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f16070]) ).

fof(f16072,plain,
    ( sk0_0 = sum(pred(sum(n15,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f767,f13926]) ).

fof(f16073,plain,
    ( sk0_0 = sum(pred(n4),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f371,f16072]) ).

fof(f16074,plain,
    ( sk0_0 = sum(n3,sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f29,f16073]) ).

fof(f16075,plain,
    ( sk0_0 = sum(n3,sum(n9,pred(sum(n15,n9))))
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f767,f16074]) ).

fof(f16076,plain,
    ( sk0_0 = sum(n3,sum(n9,pred(n3)))
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f370,f16075]) ).

fof(f16077,plain,
    ( sk0_0 = sum(n3,sum(n9,n2))
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f28,f16076]) ).

fof(f16078,plain,
    ( sk0_0 = sum(n3,n11)
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f237,f16077]) ).

fof(f16079,plain,
    ( sk0_0 = n14
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f120,f16078]) ).

fof(f16080,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16079,f504]) ).

fof(f16081,plain,
    ( ~ spl0_15
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f16080]) ).

fof(f16121,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(sk0_2))),sum(sk0_2,pred(sum(n8,n5))))
    | ~ spl0_26
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f801,f14030]) ).

fof(f16122,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(n5))),sum(sk0_2,pred(sum(n8,n5))))
    | ~ spl0_26
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f801,f16121]) ).

fof(f16123,plain,
    ( sk0_0 = sum(pred(sum(n8,n6)),sum(sk0_2,pred(sum(n8,n5))))
    | ~ spl0_26
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f9,f16122]) ).

fof(f16124,plain,
    ( sk0_0 = sum(pred(n14),sum(sk0_2,pred(sum(n8,n5))))
    | ~ spl0_26
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f220,f16123]) ).

fof(f16125,plain,
    ( sk0_0 = sum(n13,sum(sk0_2,pred(sum(n8,n5))))
    | ~ spl0_26
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f39,f16124]) ).

fof(f16126,plain,
    ( sk0_0 = sum(n13,sum(n5,pred(sum(n8,n5))))
    | ~ spl0_26
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f801,f16125]) ).

fof(f16127,plain,
    ( sk0_0 = sum(n13,sum(n5,pred(n13)))
    | ~ spl0_26
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f219,f16126]) ).

fof(f16128,plain,
    ( sk0_0 = sum(n13,sum(n5,n12))
    | ~ spl0_26
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f38,f16127]) ).

fof(f16129,plain,
    ( sk0_0 = sum(n13,n17)
    | ~ spl0_26
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f163,f16128]) ).

fof(f16130,plain,
    ( sk0_0 = n9
    | ~ spl0_26
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f336,f16129]) ).

fof(f16131,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16130,f499]) ).

fof(f16132,plain,
    ( ~ spl0_26
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f16131]) ).

fof(f16174,plain,
    ( sk0_0 = sum(pred(sum(n9,n1)),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f749,f13002]) ).

fof(f16175,plain,
    ( sk0_0 = sum(pred(n10),sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f236,f16174]) ).

fof(f16176,plain,
    ( sk0_0 = sum(n9,sum(n0,pred(sum(sk0_1,n0))))
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f35,f16175]) ).

fof(f16177,plain,
    ( sk0_0 = sum(n9,sum(n0,pred(sum(n9,n0))))
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f749,f16176]) ).

fof(f16178,plain,
    ( sk0_0 = sum(n9,sum(n0,pred(n9)))
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f235,f16177]) ).

fof(f16179,plain,
    ( sk0_0 = sum(n9,sum(n0,n8))
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f34,f16178]) ).

fof(f16180,plain,
    ( sk0_0 = sum(n9,n8)
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f54,f16179]) ).

fof(f16181,plain,
    ( sk0_0 = n17
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f243,f16180]) ).

fof(f16182,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16181,f507]) ).

fof(f16183,plain,
    ( ~ spl0_9
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f16182]) ).

fof(f16228,plain,
    ( sk0_0 = sum(pred(sum(n15,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f767,f11019]) ).

fof(f16229,plain,
    ( sk0_0 = sum(pred(n2),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f369,f16228]) ).

fof(f16230,plain,
    ( sk0_0 = sum(n1,sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f27,f16229]) ).

fof(f16231,plain,
    ( sk0_0 = sum(n1,sum(n7,pred(sum(n15,n7))))
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f767,f16230]) ).

fof(f16232,plain,
    ( sk0_0 = sum(n1,sum(n7,pred(n1)))
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f368,f16231]) ).

fof(f16233,plain,
    ( sk0_0 = sum(n1,sum(n7,n0))
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f26,f16232]) ).

fof(f16234,plain,
    ( sk0_0 = sum(n1,n7)
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f193,f16233]) ).

fof(f16235,plain,
    ( sk0_0 = n8
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f74,f16234]) ).

fof(f16236,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16235,f498]) ).

fof(f16237,plain,
    ( ~ spl0_15
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f16236]) ).

fof(f16299,plain,
    ( sk0_0 = sum(pred(sum(n17,succ(n1))),sum(sk0_2,pred(sum(n17,sk0_2))))
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f789,f12661]) ).

fof(f16300,plain,
    ( sk0_0 = sum(pred(sum(n17,n2)),sum(sk0_2,pred(sum(n17,sk0_2))))
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f5,f16299]) ).

fof(f16301,plain,
    ( sk0_0 = sum(pred(n19),sum(sk0_2,pred(sum(n17,sk0_2))))
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f405,f16300]) ).

fof(f16302,plain,
    ( sk0_0 = sum(n18,sum(sk0_2,pred(sum(n17,sk0_2))))
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f44,f16301]) ).

fof(f16303,plain,
    ( sk0_0 = sum(n18,sum(n1,pred(sum(n17,sk0_2))))
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f789,f16302]) ).

fof(f16304,plain,
    ( sk0_0 = sum(n18,sum(n1,pred(sum(n17,n1))))
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f789,f16303]) ).

fof(f16305,plain,
    ( sk0_0 = sum(n18,sum(n1,pred(n18)))
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f404,f16304]) ).

fof(f16306,plain,
    ( sk0_0 = sum(n18,sum(n1,n17))
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f43,f16305]) ).

fof(f16307,plain,
    ( sk0_0 = sum(n18,n18)
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f84,f16306]) ).

fof(f16308,plain,
    ( sk0_0 = n15
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f442,f16307]) ).

fof(f16309,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16308,f505]) ).

fof(f16310,plain,
    ( ~ spl0_22
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f16309]) ).

fof(f16334,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(n18,pred(sum(n6,n18))))
    | ~ spl0_6
    | ~ spl0_39 ),
    inference(backward_demodulation,[status(thm)],[f740,f8999]) ).

fof(f16335,plain,
    ( sk0_0 = sum(pred(sum(n6,n19)),sum(n18,pred(sum(n6,n18))))
    | ~ spl0_6
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f740,f16334]) ).

fof(f16336,plain,
    ( sk0_0 = sum(pred(n4),sum(n18,pred(sum(n6,n18))))
    | ~ spl0_6
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f191,f16335]) ).

fof(f16337,plain,
    ( sk0_0 = sum(n3,sum(n18,pred(sum(n6,n18))))
    | ~ spl0_6
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f29,f16336]) ).

fof(f16338,plain,
    ( sk0_0 = sum(n3,sum(n18,pred(n3)))
    | ~ spl0_6
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f190,f16337]) ).

fof(f16339,plain,
    ( sk0_0 = sum(n3,sum(n18,n2))
    | ~ spl0_6
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f28,f16338]) ).

fof(f16340,plain,
    ( sk0_0 = sum(n3,n20)
    | ~ spl0_6
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f426,f16339]) ).

fof(f16341,plain,
    ( sk0_0 = n2
    | ~ spl0_6
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f129,f16340]) ).

fof(f16342,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16341,f492]) ).

fof(f16343,plain,
    ( ~ spl0_6
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f16342]) ).

fof(f16385,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(sk0_2))),sum(sk0_2,pred(sum(n4,n13))))
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f825,f12401]) ).

fof(f16386,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(n13))),sum(sk0_2,pred(sum(n4,n13))))
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f825,f16385]) ).

fof(f16387,plain,
    ( sk0_0 = sum(pred(sum(n4,n14)),sum(sk0_2,pred(sum(n4,n13))))
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f17,f16386]) ).

fof(f16388,plain,
    ( sk0_0 = sum(pred(n18),sum(sk0_2,pred(sum(n4,n13))))
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f144,f16387]) ).

fof(f16389,plain,
    ( sk0_0 = sum(n17,sum(sk0_2,pred(sum(n4,n13))))
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f43,f16388]) ).

fof(f16390,plain,
    ( sk0_0 = sum(n17,sum(n13,pred(sum(n4,n13))))
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f825,f16389]) ).

fof(f16391,plain,
    ( sk0_0 = sum(n17,sum(n13,pred(n17)))
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f143,f16390]) ).

fof(f16392,plain,
    ( sk0_0 = sum(n17,sum(n13,n16))
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f42,f16391]) ).

fof(f16393,plain,
    ( sk0_0 = sum(n17,n8)
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f335,f16392]) ).

fof(f16394,plain,
    ( sk0_0 = n4
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f411,f16393]) ).

fof(f16395,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16394,f494]) ).

fof(f16396,plain,
    ( ~ spl0_34
    | ~ spl0_4 ),
    inference(contradiction_clause,[status(thm)],[f16395]) ).

fof(f16419,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(sk0_2))),sum(sk0_2,pred(sum(n5,n8))))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f810,f10120]) ).

fof(f16420,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(n8))),sum(sk0_2,pred(sum(n5,n8))))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f810,f16419]) ).

fof(f16421,plain,
    ( sk0_0 = sum(pred(sum(n5,n9)),sum(sk0_2,pred(sum(n5,n8))))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f12,f16420]) ).

fof(f16422,plain,
    ( sk0_0 = sum(pred(n14),sum(sk0_2,pred(sum(n5,n8))))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f160,f16421]) ).

fof(f16423,plain,
    ( sk0_0 = sum(n13,sum(sk0_2,pred(sum(n5,n8))))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f39,f16422]) ).

fof(f16424,plain,
    ( sk0_0 = sum(n13,sum(n8,pred(sum(n5,n8))))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f810,f16423]) ).

fof(f16425,plain,
    ( sk0_0 = sum(n13,sum(n8,pred(n13)))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f159,f16424]) ).

fof(f16426,plain,
    ( sk0_0 = sum(n13,sum(n8,n12))
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f38,f16425]) ).

fof(f16427,plain,
    ( sk0_0 = sum(n13,n20)
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f226,f16426]) ).

fof(f16428,plain,
    ( sk0_0 = n12
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f339,f16427]) ).

fof(f16429,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16428,f502]) ).

fof(f16430,plain,
    ( ~ spl0_29
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f16429]) ).

fof(f16494,plain,
    ( sk0_0 = sum(pred(sum(n6,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_6
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f740,f13790]) ).

fof(f16495,plain,
    ( sk0_0 = sum(pred(n0),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_6
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f187,f16494]) ).

fof(f16496,plain,
    ( sk0_0 = sum(n20,sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_6
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f25,f16495]) ).

fof(f16497,plain,
    ( sk0_0 = sum(n20,sum(n14,pred(sum(n6,n14))))
    | ~ spl0_6
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f740,f16496]) ).

fof(f16498,plain,
    ( sk0_0 = sum(n20,sum(n14,pred(n20)))
    | ~ spl0_6
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f186,f16497]) ).

fof(f16499,plain,
    ( sk0_0 = sum(n20,sum(n14,n19))
    | ~ spl0_6
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f45,f16498]) ).

fof(f16500,plain,
    ( sk0_0 = sum(n20,n12)
    | ~ spl0_6
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f359,f16499]) ).

fof(f16501,plain,
    ( sk0_0 = n11
    | ~ spl0_6
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f478,f16500]) ).

fof(f16502,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16501,f501]) ).

fof(f16503,plain,
    ( ~ spl0_6
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f16502]) ).

fof(f16504,plain,
    ( sk0_0 = sum(pred(sum(n6,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_6
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f740,f12350]) ).

fof(f16505,plain,
    ( sk0_0 = sum(pred(n18),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_6
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f184,f16504]) ).

fof(f16506,plain,
    ( sk0_0 = sum(n17,sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_6
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f43,f16505]) ).

fof(f16507,plain,
    ( sk0_0 = sum(n17,sum(n11,pred(sum(n6,n11))))
    | ~ spl0_6
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f740,f16506]) ).

fof(f16508,plain,
    ( sk0_0 = sum(n17,sum(n11,pred(n17)))
    | ~ spl0_6
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f183,f16507]) ).

fof(f16509,plain,
    ( sk0_0 = sum(n17,sum(n11,n16))
    | ~ spl0_6
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f42,f16508]) ).

fof(f16510,plain,
    ( sk0_0 = sum(n17,n6)
    | ~ spl0_6
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f293,f16509]) ).

fof(f16511,plain,
    ( sk0_0 = n2
    | ~ spl0_6
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f409,f16510]) ).

fof(f16512,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16511,f492]) ).

fof(f16513,plain,
    ( ~ spl0_6
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f16512]) ).

fof(f16516,plain,
    ( sk0_0 = sum(pred(sum(n6,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_6
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f740,f12242]) ).

fof(f16517,plain,
    ( sk0_0 = sum(pred(n16),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_6
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f182,f16516]) ).

fof(f16518,plain,
    ( sk0_0 = sum(n15,sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_6
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f41,f16517]) ).

fof(f16519,plain,
    ( sk0_0 = sum(n15,sum(n9,pred(sum(n6,n9))))
    | ~ spl0_6
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f740,f16518]) ).

fof(f16520,plain,
    ( sk0_0 = sum(n15,sum(n9,pred(n15)))
    | ~ spl0_6
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f181,f16519]) ).

fof(f16521,plain,
    ( sk0_0 = sum(n15,sum(n9,n14))
    | ~ spl0_6
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f40,f16520]) ).

fof(f16522,plain,
    ( sk0_0 = sum(n15,n2)
    | ~ spl0_6
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f249,f16521]) ).

fof(f16523,plain,
    ( sk0_0 = n17
    | ~ spl0_6
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f363,f16522]) ).

fof(f16524,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16523,f507]) ).

fof(f16525,plain,
    ( ~ spl0_6
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f16524]) ).

fof(f16584,plain,
    ( sk0_0 = sum(pred(sum(n8,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_8
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f746,f12847]) ).

fof(f16585,plain,
    ( sk0_0 = sum(pred(n0),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_8
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f227,f16584]) ).

fof(f16586,plain,
    ( sk0_0 = sum(n20,sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_8
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f25,f16585]) ).

fof(f16587,plain,
    ( sk0_0 = sum(n20,sum(n12,pred(sum(n8,n12))))
    | ~ spl0_8
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f746,f16586]) ).

fof(f16588,plain,
    ( sk0_0 = sum(n20,sum(n12,pred(n20)))
    | ~ spl0_8
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f226,f16587]) ).

fof(f16589,plain,
    ( sk0_0 = sum(n20,sum(n12,n19))
    | ~ spl0_8
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f45,f16588]) ).

fof(f16590,plain,
    ( sk0_0 = sum(n20,n10)
    | ~ spl0_8
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f317,f16589]) ).

fof(f16591,plain,
    ( sk0_0 = n9
    | ~ spl0_8
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f476,f16590]) ).

fof(f16592,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16591,f499]) ).

fof(f16593,plain,
    ( ~ spl0_8
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f16592]) ).

fof(f16598,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(n12))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_33
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f822,f10254]) ).

fof(f16599,plain,
    ( sk0_0 = sum(pred(sum(n9,n13)),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_33
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f16,f16598]) ).

fof(f16600,plain,
    ( sk0_0 = sum(pred(n1),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_33
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f248,f16599]) ).

fof(f16601,plain,
    ( sk0_0 = sum(n0,sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_33
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f26,f16600]) ).

fof(f16602,plain,
    ( sk0_0 = sum(n0,sum(n12,pred(sum(n9,sk0_2))))
    | ~ spl0_33
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f822,f16601]) ).

fof(f16603,plain,
    ( sk0_0 = sum(n0,sum(n12,pred(sum(n9,n12))))
    | ~ spl0_33
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f822,f16602]) ).

fof(f16604,plain,
    ( sk0_0 = sum(n0,sum(n12,pred(n0)))
    | ~ spl0_33
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f247,f16603]) ).

fof(f16605,plain,
    ( sk0_0 = sum(n0,sum(n12,n20))
    | ~ spl0_33
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f25,f16604]) ).

fof(f16606,plain,
    ( sk0_0 = sum(n0,n11)
    | ~ spl0_33
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f318,f16605]) ).

fof(f16607,plain,
    ( sk0_0 = n11
    | ~ spl0_33
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f57,f16606]) ).

fof(f16608,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16607,f501]) ).

fof(f16609,plain,
    ( ~ spl0_33
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f16608]) ).

fof(f16654,plain,
    ( sk0_0 = sum(pred(sum(n6,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_6
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f740,f15262]) ).

fof(f16655,plain,
    ( sk0_0 = sum(pred(n14),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_6
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f180,f16654]) ).

fof(f16656,plain,
    ( sk0_0 = sum(n13,sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_6
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f39,f16655]) ).

fof(f16657,plain,
    ( sk0_0 = sum(n13,sum(n7,pred(sum(n6,n7))))
    | ~ spl0_6
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f740,f16656]) ).

fof(f16658,plain,
    ( sk0_0 = sum(n13,sum(n7,pred(n13)))
    | ~ spl0_6
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f179,f16657]) ).

fof(f16659,plain,
    ( sk0_0 = sum(n13,sum(n7,n12))
    | ~ spl0_6
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f38,f16658]) ).

fof(f16660,plain,
    ( sk0_0 = sum(n13,n19)
    | ~ spl0_6
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f205,f16659]) ).

fof(f16661,plain,
    ( sk0_0 = n11
    | ~ spl0_6
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f338,f16660]) ).

fof(f16662,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16661,f501]) ).

fof(f16663,plain,
    ( ~ spl0_6
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f16662]) ).

fof(f16707,plain,
    ( sk0_0 = sum(pred(sum(n17,n13)),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f773,f7762]) ).

fof(f16708,plain,
    ( sk0_0 = sum(pred(n9),sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f416,f16707]) ).

fof(f16709,plain,
    ( sk0_0 = sum(n8,sum(n12,pred(sum(sk0_1,n12))))
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f34,f16708]) ).

fof(f16710,plain,
    ( sk0_0 = sum(n8,sum(n12,pred(sum(n17,n12))))
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f773,f16709]) ).

fof(f16711,plain,
    ( sk0_0 = sum(n8,sum(n12,pred(n8)))
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f415,f16710]) ).

fof(f16712,plain,
    ( sk0_0 = sum(n8,sum(n12,n7))
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f33,f16711]) ).

fof(f16713,plain,
    ( sk0_0 = sum(n8,n19)
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f305,f16712]) ).

fof(f16714,plain,
    ( sk0_0 = n6
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f233,f16713]) ).

fof(f16715,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16714,f496]) ).

fof(f16716,plain,
    ( ~ spl0_17
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f16715]) ).

fof(f16777,plain,
    ( sk0_0 = sum(pred(sum(n4,n5)),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f734,f9531]) ).

fof(f16778,plain,
    ( sk0_0 = sum(pred(n9),sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f135,f16777]) ).

fof(f16779,plain,
    ( sk0_0 = sum(n8,sum(n4,pred(sum(sk0_1,n4))))
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f34,f16778]) ).

fof(f16780,plain,
    ( sk0_0 = sum(n8,sum(n4,pred(sum(n4,n4))))
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f734,f16779]) ).

fof(f16781,plain,
    ( sk0_0 = sum(n8,sum(n4,pred(n8)))
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f134,f16780]) ).

fof(f16782,plain,
    ( sk0_0 = sum(n8,sum(n4,n7))
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f33,f16781]) ).

fof(f16783,plain,
    ( sk0_0 = sum(n8,n11)
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f137,f16782]) ).

fof(f16784,plain,
    ( sk0_0 = n19
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f225,f16783]) ).

fof(f16785,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16784,f509]) ).

fof(f16786,plain,
    ( ~ spl0_4
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f16785]) ).

fof(f16806,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,succ(sk0_2))),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f737,f489]) ).

fof(f16807,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(sk0_2))),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f737,f16806]) ).

fof(f16828,plain,
    ( sk0_0 = sum(pred(sum(n5,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f737,f11842]) ).

fof(f16829,plain,
    ( sk0_0 = sum(pred(n11),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f157,f16828]) ).

fof(f16830,plain,
    ( sk0_0 = sum(n10,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f36,f16829]) ).

fof(f16831,plain,
    ( sk0_0 = sum(n10,sum(n5,pred(sum(n5,n5))))
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f737,f16830]) ).

fof(f16832,plain,
    ( sk0_0 = sum(n10,sum(n5,pred(n10)))
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f156,f16831]) ).

fof(f16833,plain,
    ( sk0_0 = sum(n10,sum(n5,n9))
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f35,f16832]) ).

fof(f16834,plain,
    ( sk0_0 = sum(n10,n14)
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f160,f16833]) ).

fof(f16835,plain,
    ( sk0_0 = n3
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f270,f16834]) ).

fof(f16836,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16835,f493]) ).

fof(f16837,plain,
    ( ~ spl0_5
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f16836]) ).

fof(f16877,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(n10))),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_31
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f816,f15175]) ).

fof(f16878,plain,
    ( sk0_0 = sum(pred(sum(n8,n11)),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_31
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f14,f16877]) ).

fof(f16879,plain,
    ( sk0_0 = sum(pred(n19),sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_31
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f225,f16878]) ).

fof(f16880,plain,
    ( sk0_0 = sum(n18,sum(sk0_2,pred(sum(n8,sk0_2))))
    | ~ spl0_31
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f44,f16879]) ).

fof(f16881,plain,
    ( sk0_0 = sum(n18,sum(n10,pred(sum(n8,sk0_2))))
    | ~ spl0_31
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f816,f16880]) ).

fof(f16882,plain,
    ( sk0_0 = sum(n18,sum(n10,pred(sum(n8,n10))))
    | ~ spl0_31
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f816,f16881]) ).

fof(f16883,plain,
    ( sk0_0 = sum(n18,sum(n10,pred(n18)))
    | ~ spl0_31
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f224,f16882]) ).

fof(f16884,plain,
    ( sk0_0 = sum(n18,sum(n10,n17))
    | ~ spl0_31
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f43,f16883]) ).

fof(f16885,plain,
    ( sk0_0 = sum(n18,n6)
    | ~ spl0_31
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f273,f16884]) ).

fof(f16886,plain,
    ( sk0_0 = n3
    | ~ spl0_31
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f430,f16885]) ).

fof(f16887,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16886,f493]) ).

fof(f16888,plain,
    ( ~ spl0_31
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f16887]) ).

fof(f16946,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(n13))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_34
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f825,f14081]) ).

fof(f16947,plain,
    ( sk0_0 = sum(pred(sum(n9,n14)),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_34
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f17,f16946]) ).

fof(f16948,plain,
    ( sk0_0 = sum(pred(n2),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_34
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f249,f16947]) ).

fof(f16949,plain,
    ( sk0_0 = sum(n1,sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_34
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f27,f16948]) ).

fof(f16950,plain,
    ( sk0_0 = sum(n1,sum(n13,pred(sum(n9,sk0_2))))
    | ~ spl0_34
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f825,f16949]) ).

fof(f16951,plain,
    ( sk0_0 = sum(n1,sum(n13,pred(sum(n9,n13))))
    | ~ spl0_34
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f825,f16950]) ).

fof(f16952,plain,
    ( sk0_0 = sum(n1,sum(n13,pred(n1)))
    | ~ spl0_34
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f248,f16951]) ).

fof(f16953,plain,
    ( sk0_0 = sum(n1,sum(n13,n0))
    | ~ spl0_34
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f26,f16952]) ).

fof(f16954,plain,
    ( sk0_0 = sum(n1,n13)
    | ~ spl0_34
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f319,f16953]) ).

fof(f16955,plain,
    ( sk0_0 = n14
    | ~ spl0_34
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f80,f16954]) ).

fof(f16956,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f16955,f504]) ).

fof(f16957,plain,
    ( ~ spl0_34
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f16956]) ).

fof(f17001,plain,
    ( sk0_0 = sum(pred(sum(n17,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f773,f15542]) ).

fof(f17002,plain,
    ( sk0_0 = sum(pred(n8),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f415,f17001]) ).

fof(f17003,plain,
    ( sk0_0 = sum(n7,sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f33,f17002]) ).

fof(f17004,plain,
    ( sk0_0 = sum(n7,sum(n11,pred(sum(n17,n11))))
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f773,f17003]) ).

fof(f17005,plain,
    ( sk0_0 = sum(n7,sum(n11,pred(n7)))
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f414,f17004]) ).

fof(f17006,plain,
    ( sk0_0 = sum(n7,sum(n11,n6))
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f32,f17005]) ).

fof(f17007,plain,
    ( sk0_0 = sum(n7,n17)
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f283,f17006]) ).

fof(f17008,plain,
    ( sk0_0 = n3
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f210,f17007]) ).

fof(f17009,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17008,f493]) ).

fof(f17010,plain,
    ( ~ spl0_17
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f17009]) ).

fof(f17011,plain,
    ( sk0_0 = sum(pred(sum(n17,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_17
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f773,f3289]) ).

fof(f17012,plain,
    ( sk0_0 = sum(pred(n6),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_17
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f413,f17011]) ).

fof(f17013,plain,
    ( sk0_0 = sum(n5,sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_17
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f31,f17012]) ).

fof(f17014,plain,
    ( sk0_0 = sum(n5,sum(n9,pred(sum(n17,n9))))
    | ~ spl0_17
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f773,f17013]) ).

fof(f17015,plain,
    ( sk0_0 = sum(n5,sum(n9,pred(n5)))
    | ~ spl0_17
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f412,f17014]) ).

fof(f17016,plain,
    ( sk0_0 = sum(n5,sum(n9,n4))
    | ~ spl0_17
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f30,f17015]) ).

fof(f17017,plain,
    ( sk0_0 = sum(n5,n13)
    | ~ spl0_17
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f239,f17016]) ).

fof(f17018,plain,
    ( sk0_0 = n18
    | ~ spl0_17
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f164,f17017]) ).

fof(f17019,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17018,f508]) ).

fof(f17020,plain,
    ( ~ spl0_17
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f17019]) ).

fof(f17023,plain,
    ( sk0_0 = sum(pred(sum(n17,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f773,f15488]) ).

fof(f17024,plain,
    ( sk0_0 = sum(pred(n11),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f418,f17023]) ).

fof(f17025,plain,
    ( sk0_0 = sum(n10,sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f36,f17024]) ).

fof(f17026,plain,
    ( sk0_0 = sum(n10,sum(n14,pred(sum(n17,n14))))
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f773,f17025]) ).

fof(f17027,plain,
    ( sk0_0 = sum(n10,sum(n14,pred(n10)))
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f417,f17026]) ).

fof(f17028,plain,
    ( sk0_0 = sum(n10,sum(n14,n9))
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f35,f17027]) ).

fof(f17029,plain,
    ( sk0_0 = sum(n10,n2)
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f349,f17028]) ).

fof(f17030,plain,
    ( sk0_0 = n12
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f258,f17029]) ).

fof(f17031,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17030,f502]) ).

fof(f17032,plain,
    ( ~ spl0_17
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f17031]) ).

fof(f17091,plain,
    ( sk0_0 = sum(pred(sum(n4,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f734,f13136]) ).

fof(f17092,plain,
    ( sk0_0 = sum(pred(n13),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f139,f17091]) ).

fof(f17093,plain,
    ( sk0_0 = sum(n12,sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f38,f17092]) ).

fof(f17094,plain,
    ( sk0_0 = sum(n12,sum(n8,pred(sum(n4,n8))))
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f734,f17093]) ).

fof(f17095,plain,
    ( sk0_0 = sum(n12,sum(n8,pred(n12)))
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f138,f17094]) ).

fof(f17096,plain,
    ( sk0_0 = sum(n12,sum(n8,n11))
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f37,f17095]) ).

fof(f17097,plain,
    ( sk0_0 = sum(n12,n19)
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f225,f17096]) ).

fof(f17098,plain,
    ( sk0_0 = n10
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f317,f17097]) ).

fof(f17099,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17098,f500]) ).

fof(f17100,plain,
    ( ~ spl0_4
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f17099]) ).

fof(f17140,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(n12))),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_33
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f822,f16807]) ).

fof(f17141,plain,
    ( sk0_0 = sum(pred(sum(n5,n13)),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_33
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f16,f17140]) ).

fof(f17142,plain,
    ( sk0_0 = sum(pred(n18),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_33
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f164,f17141]) ).

fof(f17143,plain,
    ( sk0_0 = sum(n17,sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_33
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f43,f17142]) ).

fof(f17144,plain,
    ( sk0_0 = sum(n17,sum(n12,pred(sum(n5,sk0_2))))
    | ~ spl0_33
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f822,f17143]) ).

fof(f17145,plain,
    ( sk0_0 = sum(n17,sum(n12,pred(sum(n5,n12))))
    | ~ spl0_33
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f822,f17144]) ).

fof(f17146,plain,
    ( sk0_0 = sum(n17,sum(n12,pred(n17)))
    | ~ spl0_33
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f163,f17145]) ).

fof(f17147,plain,
    ( sk0_0 = sum(n17,sum(n12,n16))
    | ~ spl0_33
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f42,f17146]) ).

fof(f17148,plain,
    ( sk0_0 = sum(n17,n7)
    | ~ spl0_33
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f314,f17147]) ).

fof(f17149,plain,
    ( sk0_0 = n3
    | ~ spl0_33
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f410,f17148]) ).

fof(f17150,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17149,f493]) ).

fof(f17151,plain,
    ( ~ spl0_33
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f17150]) ).

fof(f17193,plain,
    ( sk0_0 = sum(pred(sum(n8,n9)),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f746,f9743]) ).

fof(f17194,plain,
    ( sk0_0 = sum(pred(n17),sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f223,f17193]) ).

fof(f17195,plain,
    ( sk0_0 = sum(n16,sum(n8,pred(sum(sk0_1,n8))))
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f42,f17194]) ).

fof(f17196,plain,
    ( sk0_0 = sum(n16,sum(n8,pred(sum(n8,n8))))
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f746,f17195]) ).

fof(f17197,plain,
    ( sk0_0 = sum(n16,sum(n8,pred(n16)))
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f222,f17196]) ).

fof(f17198,plain,
    ( sk0_0 = sum(n16,sum(n8,n15))
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f41,f17197]) ).

fof(f17199,plain,
    ( sk0_0 = sum(n16,n2)
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f229,f17198]) ).

fof(f17200,plain,
    ( sk0_0 = n18
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f384,f17199]) ).

fof(f17201,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17200,f508]) ).

fof(f17202,plain,
    ( ~ spl0_8
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f17201]) ).

fof(f17244,plain,
    ( sk0_0 = sum(pred(sum(n9,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f749,f14134]) ).

fof(f17245,plain,
    ( sk0_0 = sum(pred(n17),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f243,f17244]) ).

fof(f17246,plain,
    ( sk0_0 = sum(n16,sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f42,f17245]) ).

fof(f17247,plain,
    ( sk0_0 = sum(n16,sum(n7,pred(sum(n9,n7))))
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f749,f17246]) ).

fof(f17248,plain,
    ( sk0_0 = sum(n16,sum(n7,pred(n16)))
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f242,f17247]) ).

fof(f17249,plain,
    ( sk0_0 = sum(n16,sum(n7,n15))
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f41,f17248]) ).

fof(f17250,plain,
    ( sk0_0 = sum(n16,n1)
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f208,f17249]) ).

fof(f17251,plain,
    ( sk0_0 = n17
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f383,f17250]) ).

fof(f17252,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17251,f507]) ).

fof(f17253,plain,
    ( ~ spl0_9
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f17252]) ).

fof(f17295,plain,
    ( sk0_0 = sum(pred(sum(n4,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_4
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f734,f7171]) ).

fof(f17296,plain,
    ( sk0_0 = sum(pred(n15),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_4
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f141,f17295]) ).

fof(f17297,plain,
    ( sk0_0 = sum(n14,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_4
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f40,f17296]) ).

fof(f17298,plain,
    ( sk0_0 = sum(n14,sum(n10,pred(sum(n4,n10))))
    | ~ spl0_4
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f734,f17297]) ).

fof(f17299,plain,
    ( sk0_0 = sum(n14,sum(n10,pred(n14)))
    | ~ spl0_4
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f140,f17298]) ).

fof(f17300,plain,
    ( sk0_0 = sum(n14,sum(n10,n13))
    | ~ spl0_4
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f39,f17299]) ).

fof(f17301,plain,
    ( sk0_0 = sum(n14,n2)
    | ~ spl0_4
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f269,f17300]) ).

fof(f17302,plain,
    ( sk0_0 = n16
    | ~ spl0_4
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f342,f17301]) ).

fof(f17303,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17302,f506]) ).

fof(f17304,plain,
    ( ~ spl0_4
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f17303]) ).

fof(f17328,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(sk0_2))),sum(sk0_2,pred(sum(n5,n4))))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f798,f11173]) ).

fof(f17329,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(n4))),sum(sk0_2,pred(sum(n5,n4))))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f798,f17328]) ).

fof(f17330,plain,
    ( sk0_0 = sum(pred(sum(n5,n5)),sum(sk0_2,pred(sum(n5,n4))))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f8,f17329]) ).

fof(f17331,plain,
    ( sk0_0 = sum(pred(n10),sum(sk0_2,pred(sum(n5,n4))))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f156,f17330]) ).

fof(f17332,plain,
    ( sk0_0 = sum(n9,sum(sk0_2,pred(sum(n5,n4))))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f35,f17331]) ).

fof(f17333,plain,
    ( sk0_0 = sum(n9,sum(n4,pred(sum(n5,n4))))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f798,f17332]) ).

fof(f17334,plain,
    ( sk0_0 = sum(n9,sum(n4,pred(n9)))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f155,f17333]) ).

fof(f17335,plain,
    ( sk0_0 = sum(n9,sum(n4,n8))
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f34,f17334]) ).

fof(f17336,plain,
    ( sk0_0 = sum(n9,n12)
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f138,f17335]) ).

fof(f17337,plain,
    ( sk0_0 = n0
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f247,f17336]) ).

fof(f17338,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17337,f490]) ).

fof(f17339,plain,
    ( ~ spl0_25
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f17338]) ).

fof(f17362,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(sk0_2))),sum(sk0_2,pred(sum(n8,n14))))
    | ~ spl0_35
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f828,f11276]) ).

fof(f17363,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(n14))),sum(sk0_2,pred(sum(n8,n14))))
    | ~ spl0_35
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f828,f17362]) ).

fof(f17364,plain,
    ( sk0_0 = sum(pred(sum(n8,n15)),sum(sk0_2,pred(sum(n8,n14))))
    | ~ spl0_35
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f18,f17363]) ).

fof(f17365,plain,
    ( sk0_0 = sum(pred(n2),sum(sk0_2,pred(sum(n8,n14))))
    | ~ spl0_35
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f229,f17364]) ).

fof(f17366,plain,
    ( sk0_0 = sum(n1,sum(sk0_2,pred(sum(n8,n14))))
    | ~ spl0_35
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f27,f17365]) ).

fof(f17367,plain,
    ( sk0_0 = sum(n1,sum(n14,pred(sum(n8,n14))))
    | ~ spl0_35
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f828,f17366]) ).

fof(f17368,plain,
    ( sk0_0 = sum(n1,sum(n14,pred(n1)))
    | ~ spl0_35
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f228,f17367]) ).

fof(f17369,plain,
    ( sk0_0 = sum(n1,sum(n14,n0))
    | ~ spl0_35
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f26,f17368]) ).

fof(f17370,plain,
    ( sk0_0 = sum(n1,n14)
    | ~ spl0_35
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f340,f17369]) ).

fof(f17371,plain,
    ( sk0_0 = n15
    | ~ spl0_35
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f81,f17370]) ).

fof(f17372,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17371,f505]) ).

fof(f17373,plain,
    ( ~ spl0_35
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f17372]) ).

fof(f17394,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(n14))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f828,f14768]) ).

fof(f17395,plain,
    ( sk0_0 = sum(pred(sum(n9,n15)),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f18,f17394]) ).

fof(f17396,plain,
    ( sk0_0 = sum(pred(n3),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f250,f17395]) ).

fof(f17397,plain,
    ( sk0_0 = sum(n2,sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f28,f17396]) ).

fof(f17398,plain,
    ( sk0_0 = sum(n2,sum(n14,pred(sum(n9,sk0_2))))
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f828,f17397]) ).

fof(f17399,plain,
    ( sk0_0 = sum(n2,sum(n14,pred(sum(n9,n14))))
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f828,f17398]) ).

fof(f17400,plain,
    ( sk0_0 = sum(n2,sum(n14,pred(n2)))
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f249,f17399]) ).

fof(f17401,plain,
    ( sk0_0 = sum(n2,sum(n14,n1))
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f27,f17400]) ).

fof(f17402,plain,
    ( sk0_0 = sum(n2,n15)
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f341,f17401]) ).

fof(f17403,plain,
    ( sk0_0 = n17
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f103,f17402]) ).

fof(f17404,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17403,f507]) ).

fof(f17405,plain,
    ( ~ spl0_35
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f17404]) ).

fof(f17428,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(sk0_2))),sum(sk0_2,pred(sum(n4,n0))))
    | ~ spl0_21
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f786,f10171]) ).

fof(f17429,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(n0))),sum(sk0_2,pred(sum(n4,n0))))
    | ~ spl0_21
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f786,f17428]) ).

fof(f17430,plain,
    ( sk0_0 = sum(pred(sum(n4,n1)),sum(sk0_2,pred(sum(n4,n0))))
    | ~ spl0_21
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f4,f17429]) ).

fof(f17431,plain,
    ( sk0_0 = sum(pred(n5),sum(sk0_2,pred(sum(n4,n0))))
    | ~ spl0_21
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f131,f17430]) ).

fof(f17432,plain,
    ( sk0_0 = sum(n4,sum(sk0_2,pred(sum(n4,n0))))
    | ~ spl0_21
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f30,f17431]) ).

fof(f17433,plain,
    ( sk0_0 = sum(n4,sum(n0,pred(sum(n4,n0))))
    | ~ spl0_21
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f786,f17432]) ).

fof(f17434,plain,
    ( sk0_0 = sum(n4,sum(n0,pred(n4)))
    | ~ spl0_21
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f130,f17433]) ).

fof(f17435,plain,
    ( sk0_0 = sum(n4,sum(n0,n3))
    | ~ spl0_21
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f29,f17434]) ).

fof(f17436,plain,
    ( sk0_0 = sum(n4,n3)
    | ~ spl0_21
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f49,f17435]) ).

fof(f17437,plain,
    ( sk0_0 = n7
    | ~ spl0_21
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f133,f17436]) ).

fof(f17438,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17437,f497]) ).

fof(f17439,plain,
    ( ~ spl0_21
    | ~ spl0_4 ),
    inference(contradiction_clause,[status(thm)],[f17438]) ).

fof(f17481,plain,
    ( sk0_0 = sum(pred(sum(n5,n11)),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f737,f9845]) ).

fof(f17482,plain,
    ( sk0_0 = sum(pred(n16),sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f162,f17481]) ).

fof(f17483,plain,
    ( sk0_0 = sum(n15,sum(n10,pred(sum(sk0_1,n10))))
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f41,f17482]) ).

fof(f17484,plain,
    ( sk0_0 = sum(n15,sum(n10,pred(sum(n5,n10))))
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f737,f17483]) ).

fof(f17485,plain,
    ( sk0_0 = sum(n15,sum(n10,pred(n15)))
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f161,f17484]) ).

fof(f17486,plain,
    ( sk0_0 = sum(n15,sum(n10,n14))
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f40,f17485]) ).

fof(f17487,plain,
    ( sk0_0 = sum(n15,n3)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f270,f17486]) ).

fof(f17488,plain,
    ( sk0_0 = n18
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f364,f17487]) ).

fof(f17489,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17488,f508]) ).

fof(f17490,plain,
    ( ~ spl0_5
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f17489]) ).

fof(f17532,plain,
    ( sk0_0 = sum(pred(sum(n8,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_8
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f746,f13979]) ).

fof(f17533,plain,
    ( sk0_0 = sum(pred(n20),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_8
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f226,f17532]) ).

fof(f17534,plain,
    ( sk0_0 = sum(n19,sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_8
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f45,f17533]) ).

fof(f17535,plain,
    ( sk0_0 = sum(n19,sum(n11,pred(sum(n8,n11))))
    | ~ spl0_8
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f746,f17534]) ).

fof(f17536,plain,
    ( sk0_0 = sum(n19,sum(n11,pred(n19)))
    | ~ spl0_8
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f225,f17535]) ).

fof(f17537,plain,
    ( sk0_0 = sum(n19,sum(n11,n18))
    | ~ spl0_8
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f44,f17536]) ).

fof(f17538,plain,
    ( sk0_0 = sum(n19,n8)
    | ~ spl0_8
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f295,f17537]) ).

fof(f17539,plain,
    ( sk0_0 = n6
    | ~ spl0_8
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f453,f17538]) ).

fof(f17540,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17539,f496]) ).

fof(f17541,plain,
    ( ~ spl0_8
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f17540]) ).

fof(f17546,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(n11))),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_32
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f819,f8240]) ).

fof(f17547,plain,
    ( sk0_0 = sum(pred(sum(n9,n12)),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_32
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f15,f17546]) ).

fof(f17548,plain,
    ( sk0_0 = sum(pred(n0),sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_32
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f247,f17547]) ).

fof(f17549,plain,
    ( sk0_0 = sum(n20,sum(sk0_2,pred(sum(n9,sk0_2))))
    | ~ spl0_32
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f25,f17548]) ).

fof(f17550,plain,
    ( sk0_0 = sum(n20,sum(n11,pred(sum(n9,sk0_2))))
    | ~ spl0_32
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f819,f17549]) ).

fof(f17551,plain,
    ( sk0_0 = sum(n20,sum(n11,pred(sum(n9,n11))))
    | ~ spl0_32
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f819,f17550]) ).

fof(f17552,plain,
    ( sk0_0 = sum(n20,sum(n11,pred(n20)))
    | ~ spl0_32
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f246,f17551]) ).

fof(f17553,plain,
    ( sk0_0 = sum(n20,sum(n11,n19))
    | ~ spl0_32
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f45,f17552]) ).

fof(f17554,plain,
    ( sk0_0 = sum(n20,n9)
    | ~ spl0_32
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f296,f17553]) ).

fof(f17555,plain,
    ( sk0_0 = n8
    | ~ spl0_32
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f475,f17554]) ).

fof(f17556,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17555,f498]) ).

fof(f17557,plain,
    ( ~ spl0_32
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f17556]) ).

fof(f17580,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(sk0_2))),sum(sk0_2,pred(sum(n9,n9))))
    | ~ spl0_30
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f813,f15676]) ).

fof(f17581,plain,
    ( sk0_0 = sum(pred(sum(n9,succ(n9))),sum(sk0_2,pred(sum(n9,n9))))
    | ~ spl0_30
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f813,f17580]) ).

fof(f17582,plain,
    ( sk0_0 = sum(pred(sum(n9,n10)),sum(sk0_2,pred(sum(n9,n9))))
    | ~ spl0_30
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f13,f17581]) ).

fof(f17583,plain,
    ( sk0_0 = sum(pred(n19),sum(sk0_2,pred(sum(n9,n9))))
    | ~ spl0_30
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f245,f17582]) ).

fof(f17584,plain,
    ( sk0_0 = sum(n18,sum(sk0_2,pred(sum(n9,n9))))
    | ~ spl0_30
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f44,f17583]) ).

fof(f17585,plain,
    ( sk0_0 = sum(n18,sum(n9,pred(sum(n9,n9))))
    | ~ spl0_30
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f813,f17584]) ).

fof(f17586,plain,
    ( sk0_0 = sum(n18,sum(n9,pred(n18)))
    | ~ spl0_30
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f244,f17585]) ).

fof(f17587,plain,
    ( sk0_0 = sum(n18,sum(n9,n17))
    | ~ spl0_30
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f43,f17586]) ).

fof(f17588,plain,
    ( sk0_0 = sum(n18,n5)
    | ~ spl0_30
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f252,f17587]) ).

fof(f17589,plain,
    ( sk0_0 = n2
    | ~ spl0_30
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f429,f17588]) ).

fof(f17590,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17589,f492]) ).

fof(f17591,plain,
    ( ~ spl0_30
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f17590]) ).

fof(f17592,plain,
    ( sk0_0 = sum(pred(sum(n9,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_9
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f749,f12695]) ).

fof(f17593,plain,
    ( sk0_0 = sum(pred(n7),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_9
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f254,f17592]) ).

fof(f17594,plain,
    ( sk0_0 = sum(n6,sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_9
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f32,f17593]) ).

fof(f17595,plain,
    ( sk0_0 = sum(n6,sum(n18,pred(sum(n9,n18))))
    | ~ spl0_9
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f749,f17594]) ).

fof(f17596,plain,
    ( sk0_0 = sum(n6,sum(n18,pred(n6)))
    | ~ spl0_9
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f253,f17595]) ).

fof(f17597,plain,
    ( sk0_0 = sum(n6,sum(n18,n5))
    | ~ spl0_9
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f31,f17596]) ).

fof(f17598,plain,
    ( sk0_0 = sum(n6,n2)
    | ~ spl0_9
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f429,f17597]) ).

fof(f17599,plain,
    ( sk0_0 = n8
    | ~ spl0_9
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f174,f17598]) ).

fof(f17600,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17599,f498]) ).

fof(f17601,plain,
    ( ~ spl0_9
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f17600]) ).

fof(f17602,plain,
    ( sk0_0 = sum(pred(sum(n9,n6)),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f749,f9050]) ).

fof(f17603,plain,
    ( sk0_0 = sum(pred(n15),sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f241,f17602]) ).

fof(f17604,plain,
    ( sk0_0 = sum(n14,sum(n5,pred(sum(sk0_1,n5))))
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f40,f17603]) ).

fof(f17605,plain,
    ( sk0_0 = sum(n14,sum(n5,pred(sum(n9,n5))))
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f749,f17604]) ).

fof(f17606,plain,
    ( sk0_0 = sum(n14,sum(n5,pred(n14)))
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f240,f17605]) ).

fof(f17607,plain,
    ( sk0_0 = sum(n14,sum(n5,n13))
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f39,f17606]) ).

fof(f17608,plain,
    ( sk0_0 = sum(n14,n18)
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f164,f17607]) ).

fof(f17609,plain,
    ( sk0_0 = n11
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f358,f17608]) ).

fof(f17610,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17609,f501]) ).

fof(f17611,plain,
    ( ~ spl0_9
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f17610]) ).

fof(f17653,plain,
    ( sk0_0 = sum(pred(sum(n4,n8)),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f734,f15729]) ).

fof(f17654,plain,
    ( sk0_0 = sum(pred(n12),sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f138,f17653]) ).

fof(f17655,plain,
    ( sk0_0 = sum(n11,sum(n7,pred(sum(sk0_1,n7))))
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f37,f17654]) ).

fof(f17656,plain,
    ( sk0_0 = sum(n11,sum(n7,pred(sum(n4,n7))))
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f734,f17655]) ).

fof(f17657,plain,
    ( sk0_0 = sum(n11,sum(n7,pred(n11)))
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f137,f17656]) ).

fof(f17658,plain,
    ( sk0_0 = sum(n11,sum(n7,n10))
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f36,f17657]) ).

fof(f17659,plain,
    ( sk0_0 = sum(n11,n17)
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f203,f17658]) ).

fof(f17660,plain,
    ( sk0_0 = n7
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f294,f17659]) ).

fof(f17661,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17660,f497]) ).

fof(f17662,plain,
    ( ~ spl0_4
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f17661]) ).

fof(f17705,plain,
    ( sk0_0 = sum(pred(sum(n5,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_5
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f737,f12120]) ).

fof(f17706,plain,
    ( sk0_0 = sum(pred(n20),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_5
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f166,f17705]) ).

fof(f17707,plain,
    ( sk0_0 = sum(n19,sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_5
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f45,f17706]) ).

fof(f17708,plain,
    ( sk0_0 = sum(n19,sum(n14,pred(sum(n5,n14))))
    | ~ spl0_5
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f737,f17707]) ).

fof(f17709,plain,
    ( sk0_0 = sum(n19,sum(n14,pred(n19)))
    | ~ spl0_5
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f165,f17708]) ).

fof(f17710,plain,
    ( sk0_0 = sum(n19,sum(n14,n18))
    | ~ spl0_5
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f44,f17709]) ).

fof(f17711,plain,
    ( sk0_0 = sum(n19,n11)
    | ~ spl0_5
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f358,f17710]) ).

fof(f17712,plain,
    ( sk0_0 = n9
    | ~ spl0_5
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f456,f17711]) ).

fof(f17713,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17712,f499]) ).

fof(f17714,plain,
    ( ~ spl0_5
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f17713]) ).

fof(f17737,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(sk0_2))),sum(sk0_2,pred(sum(n8,n7))))
    | ~ spl0_28
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f807,f14030]) ).

fof(f17738,plain,
    ( sk0_0 = sum(pred(sum(n8,succ(n7))),sum(sk0_2,pred(sum(n8,n7))))
    | ~ spl0_28
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f807,f17737]) ).

fof(f17739,plain,
    ( sk0_0 = sum(pred(sum(n8,n8)),sum(sk0_2,pred(sum(n8,n7))))
    | ~ spl0_28
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f11,f17738]) ).

fof(f17740,plain,
    ( sk0_0 = sum(pred(n16),sum(sk0_2,pred(sum(n8,n7))))
    | ~ spl0_28
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f222,f17739]) ).

fof(f17741,plain,
    ( sk0_0 = sum(n15,sum(sk0_2,pred(sum(n8,n7))))
    | ~ spl0_28
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f41,f17740]) ).

fof(f17742,plain,
    ( sk0_0 = sum(n15,sum(n7,pred(sum(n8,n7))))
    | ~ spl0_28
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f807,f17741]) ).

fof(f17743,plain,
    ( sk0_0 = sum(n15,sum(n7,pred(n15)))
    | ~ spl0_28
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f221,f17742]) ).

fof(f17744,plain,
    ( sk0_0 = sum(n15,sum(n7,n14))
    | ~ spl0_28
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f40,f17743]) ).

fof(f17745,plain,
    ( sk0_0 = sum(n15,n0)
    | ~ spl0_28
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f207,f17744]) ).

fof(f17746,plain,
    ( sk0_0 = n15
    | ~ spl0_28
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f361,f17745]) ).

fof(f17747,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17746,f505]) ).

fof(f17748,plain,
    ( ~ spl0_28
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f17747]) ).

fof(f17771,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(sk0_2))),sum(sk0_2,pred(sum(n4,n12))))
    | ~ spl0_33
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f822,f14497]) ).

fof(f17772,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(n12))),sum(sk0_2,pred(sum(n4,n12))))
    | ~ spl0_33
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f822,f17771]) ).

fof(f17773,plain,
    ( sk0_0 = sum(pred(sum(n4,n13)),sum(sk0_2,pred(sum(n4,n12))))
    | ~ spl0_33
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f16,f17772]) ).

fof(f17774,plain,
    ( sk0_0 = sum(pred(n17),sum(sk0_2,pred(sum(n4,n12))))
    | ~ spl0_33
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f143,f17773]) ).

fof(f17775,plain,
    ( sk0_0 = sum(n16,sum(sk0_2,pred(sum(n4,n12))))
    | ~ spl0_33
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f42,f17774]) ).

fof(f17776,plain,
    ( sk0_0 = sum(n16,sum(n12,pred(sum(n4,n12))))
    | ~ spl0_33
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f822,f17775]) ).

fof(f17777,plain,
    ( sk0_0 = sum(n16,sum(n12,pred(n16)))
    | ~ spl0_33
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f142,f17776]) ).

fof(f17778,plain,
    ( sk0_0 = sum(n16,sum(n12,n15))
    | ~ spl0_33
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f41,f17777]) ).

fof(f17779,plain,
    ( sk0_0 = sum(n16,n6)
    | ~ spl0_33
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f313,f17778]) ).

fof(f17780,plain,
    ( sk0_0 = n1
    | ~ spl0_33
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f388,f17779]) ).

fof(f17781,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17780,f491]) ).

fof(f17782,plain,
    ( ~ spl0_33
    | ~ spl0_4 ),
    inference(contradiction_clause,[status(thm)],[f17781]) ).

fof(f17805,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(sk0_2))),sum(sk0_2,pred(sum(n5,n11))))
    | ~ spl0_32
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f819,f16807]) ).

fof(f17806,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(n11))),sum(sk0_2,pred(sum(n5,n11))))
    | ~ spl0_32
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f819,f17805]) ).

fof(f17807,plain,
    ( sk0_0 = sum(pred(sum(n5,n12)),sum(sk0_2,pred(sum(n5,n11))))
    | ~ spl0_32
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f15,f17806]) ).

fof(f17808,plain,
    ( sk0_0 = sum(pred(n17),sum(sk0_2,pred(sum(n5,n11))))
    | ~ spl0_32
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f163,f17807]) ).

fof(f17809,plain,
    ( sk0_0 = sum(n16,sum(sk0_2,pred(sum(n5,n11))))
    | ~ spl0_32
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f42,f17808]) ).

fof(f17810,plain,
    ( sk0_0 = sum(n16,sum(n11,pred(sum(n5,n11))))
    | ~ spl0_32
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f819,f17809]) ).

fof(f17811,plain,
    ( sk0_0 = sum(n16,sum(n11,pred(n16)))
    | ~ spl0_32
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f162,f17810]) ).

fof(f17812,plain,
    ( sk0_0 = sum(n16,sum(n11,n15))
    | ~ spl0_32
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f41,f17811]) ).

fof(f17813,plain,
    ( sk0_0 = sum(n16,n5)
    | ~ spl0_32
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f292,f17812]) ).

fof(f17814,plain,
    ( sk0_0 = n0
    | ~ spl0_32
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f387,f17813]) ).

fof(f17815,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17814,f490]) ).

fof(f17816,plain,
    ( ~ spl0_32
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f17815]) ).

fof(f17877,plain,
    ( sk0_0 = sum(pred(sum(n8,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f746,f15123]) ).

fof(f17878,plain,
    ( sk0_0 = sum(pred(n18),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f224,f17877]) ).

fof(f17879,plain,
    ( sk0_0 = sum(n17,sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f43,f17878]) ).

fof(f17880,plain,
    ( sk0_0 = sum(n17,sum(n9,pred(sum(n8,n9))))
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f746,f17879]) ).

fof(f17881,plain,
    ( sk0_0 = sum(n17,sum(n9,pred(n17)))
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f223,f17880]) ).

fof(f17882,plain,
    ( sk0_0 = sum(n17,sum(n9,n16))
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f42,f17881]) ).

fof(f17883,plain,
    ( sk0_0 = sum(n17,n4)
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f251,f17882]) ).

fof(f17884,plain,
    ( sk0_0 = n0
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f407,f17883]) ).

fof(f17885,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17884,f490]) ).

fof(f17886,plain,
    ( ~ spl0_8
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f17885]) ).

fof(f17887,plain,
    ( sk0_0 = sum(pred(sum(n8,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_8
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f746,f13362]) ).

fof(f17888,plain,
    ( sk0_0 = sum(pred(n6),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_8
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f233,f17887]) ).

fof(f17889,plain,
    ( sk0_0 = sum(n5,sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_8
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f31,f17888]) ).

fof(f17890,plain,
    ( sk0_0 = sum(n5,sum(n18,pred(sum(n8,n18))))
    | ~ spl0_8
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f746,f17889]) ).

fof(f17891,plain,
    ( sk0_0 = sum(n5,sum(n18,pred(n5)))
    | ~ spl0_8
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f232,f17890]) ).

fof(f17892,plain,
    ( sk0_0 = sum(n5,sum(n18,n4))
    | ~ spl0_8
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f30,f17891]) ).

fof(f17893,plain,
    ( sk0_0 = sum(n5,n1)
    | ~ spl0_8
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f428,f17892]) ).

fof(f17894,plain,
    ( sk0_0 = n6
    | ~ spl0_8
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f152,f17893]) ).

fof(f17895,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17894,f496]) ).

fof(f17896,plain,
    ( ~ spl0_8
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f17895]) ).

fof(f17899,plain,
    ( sk0_0 = sum(pred(sum(n8,n0)),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_8
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f746,f6033]) ).

fof(f17900,plain,
    ( sk0_0 = sum(pred(n8),sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_8
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f214,f17899]) ).

fof(f17901,plain,
    ( sk0_0 = sum(n7,sum(n20,pred(sum(sk0_1,n20))))
    | ~ spl0_8
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f33,f17900]) ).

fof(f17902,plain,
    ( sk0_0 = sum(n7,sum(n20,pred(sum(n8,n20))))
    | ~ spl0_8
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f746,f17901]) ).

fof(f17903,plain,
    ( sk0_0 = sum(n7,sum(n20,pred(n7)))
    | ~ spl0_8
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f234,f17902]) ).

fof(f17904,plain,
    ( sk0_0 = sum(n7,sum(n20,n6))
    | ~ spl0_8
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f32,f17903]) ).

fof(f17905,plain,
    ( sk0_0 = sum(n7,n5)
    | ~ spl0_8
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f472,f17904]) ).

fof(f17906,plain,
    ( sk0_0 = n12
    | ~ spl0_8
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f198,f17905]) ).

fof(f17907,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17906,f502]) ).

fof(f17908,plain,
    ( ~ spl0_8
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f17907]) ).

fof(f17967,plain,
    ( sk0_0 = sum(pred(sum(n4,n12)),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_4
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f734,f10897]) ).

fof(f17968,plain,
    ( sk0_0 = sum(pred(n16),sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_4
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f142,f17967]) ).

fof(f17969,plain,
    ( sk0_0 = sum(n15,sum(n11,pred(sum(sk0_1,n11))))
    | ~ spl0_4
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f41,f17968]) ).

fof(f17970,plain,
    ( sk0_0 = sum(n15,sum(n11,pred(sum(n4,n11))))
    | ~ spl0_4
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f734,f17969]) ).

fof(f17971,plain,
    ( sk0_0 = sum(n15,sum(n11,pred(n15)))
    | ~ spl0_4
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f141,f17970]) ).

fof(f17972,plain,
    ( sk0_0 = sum(n15,sum(n11,n14))
    | ~ spl0_4
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f40,f17971]) ).

fof(f17973,plain,
    ( sk0_0 = sum(n15,n4)
    | ~ spl0_4
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f291,f17972]) ).

fof(f17974,plain,
    ( sk0_0 = n19
    | ~ spl0_4
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f365,f17973]) ).

fof(f17975,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17974,f509]) ).

fof(f17976,plain,
    ( ~ spl0_4
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f17975]) ).

fof(f18017,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(sk0_2))),sum(sk0_2,pred(sum(n5,n7))))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f807,f11173]) ).

fof(f18018,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(n7))),sum(sk0_2,pred(sum(n5,n7))))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f807,f18017]) ).

fof(f18019,plain,
    ( sk0_0 = sum(pred(sum(n5,n8)),sum(sk0_2,pred(sum(n5,n7))))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f11,f18018]) ).

fof(f18020,plain,
    ( sk0_0 = sum(pred(n13),sum(sk0_2,pred(sum(n5,n7))))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f159,f18019]) ).

fof(f18021,plain,
    ( sk0_0 = sum(n12,sum(sk0_2,pred(sum(n5,n7))))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f38,f18020]) ).

fof(f18022,plain,
    ( sk0_0 = sum(n12,sum(n7,pred(sum(n5,n7))))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f807,f18021]) ).

fof(f18023,plain,
    ( sk0_0 = sum(n12,sum(n7,pred(n12)))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f158,f18022]) ).

fof(f18024,plain,
    ( sk0_0 = sum(n12,sum(n7,n11))
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f37,f18023]) ).

fof(f18025,plain,
    ( sk0_0 = sum(n12,n18)
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f204,f18024]) ).

fof(f18026,plain,
    ( sk0_0 = n9
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f316,f18025]) ).

fof(f18027,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f18026,f499]) ).

fof(f18028,plain,
    ( ~ spl0_28
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f18027]) ).

fof(f18071,plain,
    ( sk0_0 = sum(pred(sum(n4,n10)),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_4
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f734,f13170]) ).

fof(f18072,plain,
    ( sk0_0 = sum(pred(n14),sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_4
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f140,f18071]) ).

fof(f18073,plain,
    ( sk0_0 = sum(n13,sum(n9,pred(sum(sk0_1,n9))))
    | ~ spl0_4
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f39,f18072]) ).

fof(f18074,plain,
    ( sk0_0 = sum(n13,sum(n9,pred(sum(n4,n9))))
    | ~ spl0_4
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f734,f18073]) ).

fof(f18075,plain,
    ( sk0_0 = sum(n13,sum(n9,pred(n13)))
    | ~ spl0_4
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f139,f18074]) ).

fof(f18076,plain,
    ( sk0_0 = sum(n13,sum(n9,n12))
    | ~ spl0_4
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f38,f18075]) ).

fof(f18077,plain,
    ( sk0_0 = sum(n13,n0)
    | ~ spl0_4
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f247,f18076]) ).

fof(f18078,plain,
    ( sk0_0 = n13
    | ~ spl0_4
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f319,f18077]) ).

fof(f18079,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f18078,f503]) ).

fof(f18080,plain,
    ( ~ spl0_4
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f18079]) ).

fof(f18085,plain,
    ( sk0_0 = sum(pred(sum(n5,succ(n9))),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f813,f16807]) ).

fof(f18086,plain,
    ( sk0_0 = sum(pred(sum(n5,n10)),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f13,f18085]) ).

fof(f18087,plain,
    ( sk0_0 = sum(pred(n15),sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f161,f18086]) ).

fof(f18088,plain,
    ( sk0_0 = sum(n14,sum(sk0_2,pred(sum(n5,sk0_2))))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f40,f18087]) ).

fof(f18089,plain,
    ( sk0_0 = sum(n14,sum(n9,pred(sum(n5,sk0_2))))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f813,f18088]) ).

fof(f18090,plain,
    ( sk0_0 = sum(n14,sum(n9,pred(sum(n5,n9))))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f813,f18089]) ).

fof(f18091,plain,
    ( sk0_0 = sum(n14,sum(n9,pred(n14)))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f160,f18090]) ).

fof(f18092,plain,
    ( sk0_0 = sum(n14,sum(n9,n13))
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f39,f18091]) ).

fof(f18093,plain,
    ( sk0_0 = sum(n14,n1)
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f248,f18092]) ).

fof(f18094,plain,
    ( sk0_0 = n15
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f341,f18093]) ).

fof(f18095,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f18094,f505]) ).

fof(f18096,plain,
    ( ~ spl0_30
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f18095]) ).

fof(f18138,plain,
    ( sk0_0 = sum(pred(sum(n4,n15)),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_4
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f734,f15999]) ).

fof(f18139,plain,
    ( sk0_0 = sum(pred(n19),sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_4
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f145,f18138]) ).

fof(f18140,plain,
    ( sk0_0 = sum(n18,sum(n14,pred(sum(sk0_1,n14))))
    | ~ spl0_4
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f44,f18139]) ).

fof(f18141,plain,
    ( sk0_0 = sum(n18,sum(n14,pred(sum(n4,n14))))
    | ~ spl0_4
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f734,f18140]) ).

fof(f18142,plain,
    ( sk0_0 = sum(n18,sum(n14,pred(n18)))
    | ~ spl0_4
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f144,f18141]) ).

fof(f18143,plain,
    ( sk0_0 = sum(n18,sum(n14,n17))
    | ~ spl0_4
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f43,f18142]) ).

fof(f18144,plain,
    ( sk0_0 = sum(n18,n10)
    | ~ spl0_4
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f357,f18143]) ).

fof(f18145,plain,
    ( sk0_0 = n7
    | ~ spl0_4
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f434,f18144]) ).

fof(f18146,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f18145,f497]) ).

fof(f18147,plain,
    ( ~ spl0_4
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f18146]) ).

fof(f18169,plain,
    ( sk0_0 = sum(pred(sum(sk0_1,n19)),sum(n18,pred(sum(n5,n18))))
    | ~ spl0_5
    | ~ spl0_39 ),
    inference(backward_demodulation,[status(thm)],[f737,f11069]) ).

fof(f18170,plain,
    ( sk0_0 = sum(pred(sum(n5,n19)),sum(n18,pred(sum(n5,n18))))
    | ~ spl0_5
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f737,f18169]) ).

fof(f18171,plain,
    ( sk0_0 = sum(pred(n3),sum(n18,pred(sum(n5,n18))))
    | ~ spl0_5
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f170,f18170]) ).

fof(f18172,plain,
    ( sk0_0 = sum(n2,sum(n18,pred(sum(n5,n18))))
    | ~ spl0_5
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f28,f18171]) ).

fof(f18173,plain,
    ( sk0_0 = sum(n2,sum(n18,pred(n2)))
    | ~ spl0_5
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f169,f18172]) ).

fof(f18174,plain,
    ( sk0_0 = sum(n2,sum(n18,n1))
    | ~ spl0_5
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f27,f18173]) ).

fof(f18175,plain,
    ( sk0_0 = sum(n2,n19)
    | ~ spl0_5
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f425,f18174]) ).

fof(f18176,plain,
    ( sk0_0 = n0
    | ~ spl0_5
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f107,f18175]) ).

fof(f18177,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f18176,f490]) ).

fof(f18178,plain,
    ( ~ spl0_5
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f18177]) ).

fof(f18201,plain,
    ( sk0_0 = sum(pred(sum(n5,n14)),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_5
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f737,f3627]) ).

fof(f18202,plain,
    ( sk0_0 = sum(pred(n19),sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_5
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f165,f18201]) ).

fof(f18203,plain,
    ( sk0_0 = sum(n18,sum(n13,pred(sum(sk0_1,n13))))
    | ~ spl0_5
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f44,f18202]) ).

fof(f18204,plain,
    ( sk0_0 = sum(n18,sum(n13,pred(sum(n5,n13))))
    | ~ spl0_5
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f737,f18203]) ).

fof(f18205,plain,
    ( sk0_0 = sum(n18,sum(n13,pred(n18)))
    | ~ spl0_5
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f164,f18204]) ).

fof(f18206,plain,
    ( sk0_0 = sum(n18,sum(n13,n17))
    | ~ spl0_5
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f43,f18205]) ).

fof(f18207,plain,
    ( sk0_0 = sum(n18,n9)
    | ~ spl0_5
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f336,f18206]) ).

fof(f18208,plain,
    ( sk0_0 = n6
    | ~ spl0_5
    | ~ spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f433,f18207]) ).

fof(f18209,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f18208,f496]) ).

fof(f18210,plain,
    ( ~ spl0_5
    | ~ spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f18209]) ).

fof(f18232,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(sk0_2))),sum(sk0_2,pred(sum(n4,n20))))
    | ~ spl0_41
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f846,f11225]) ).

fof(f18233,plain,
    ( sk0_0 = sum(pred(sum(n4,succ(n20))),sum(sk0_2,pred(sum(n4,n20))))
    | ~ spl0_41
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f846,f18232]) ).

fof(f18234,plain,
    ( sk0_0 = sum(pred(sum(n4,n0)),sum(sk0_2,pred(sum(n4,n20))))
    | ~ spl0_41
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f24,f18233]) ).

fof(f18235,plain,
    ( sk0_0 = sum(pred(n4),sum(sk0_2,pred(sum(n4,n20))))
    | ~ spl0_41
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f130,f18234]) ).

fof(f18236,plain,
    ( sk0_0 = sum(n3,sum(sk0_2,pred(sum(n4,n20))))
    | ~ spl0_41
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f29,f18235]) ).

fof(f18237,plain,
    ( sk0_0 = sum(n3,sum(n20,pred(sum(n4,n20))))
    | ~ spl0_41
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f846,f18236]) ).

fof(f18238,plain,
    ( sk0_0 = sum(n3,sum(n20,pred(n3)))
    | ~ spl0_41
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f150,f18237]) ).

fof(f18239,plain,
    ( sk0_0 = sum(n3,sum(n20,n2))
    | ~ spl0_41
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f28,f18238]) ).

fof(f18240,plain,
    ( sk0_0 = sum(n3,n1)
    | ~ spl0_41
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f468,f18239]) ).

fof(f18241,plain,
    ( sk0_0 = n4
    | ~ spl0_41
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f110,f18240]) ).

fof(f18242,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f18241,f494]) ).

fof(f18243,plain,
    ( ~ spl0_41
    | ~ spl0_4 ),
    inference(contradiction_clause,[status(thm)],[f18242]) ).

fof(f18244,plain,
    ( sk0_0 = sum(pred(sum(n4,n19)),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_4
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f734,f8999]) ).

fof(f18245,plain,
    ( sk0_0 = sum(pred(n2),sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_4
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f149,f18244]) ).

fof(f18246,plain,
    ( sk0_0 = sum(n1,sum(n18,pred(sum(sk0_1,n18))))
    | ~ spl0_4
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f27,f18245]) ).

fof(f18247,plain,
    ( sk0_0 = sum(n1,sum(n18,pred(sum(n4,n18))))
    | ~ spl0_4
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f734,f18246]) ).

fof(f18248,plain,
    ( sk0_0 = sum(n1,sum(n18,pred(n1)))
    | ~ spl0_4
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f148,f18247]) ).

fof(f18249,plain,
    ( sk0_0 = sum(n1,sum(n18,n0))
    | ~ spl0_4
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f26,f18248]) ).

fof(f18250,plain,
    ( sk0_0 = sum(n1,n18)
    | ~ spl0_4
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f424,f18249]) ).

fof(f18251,plain,
    ( sk0_0 = n19
    | ~ spl0_4
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f85,f18250]) ).

fof(f18252,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f18251,f509]) ).

fof(f18253,plain,
    ( ~ spl0_4
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f18252]) ).

fof(f18254,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f784,f848,f1084,f1203,f1227,f1272,f1306,f1353,f1401,f1449,f1483,f1517,f1551,f1601,f1652,f1703,f1737,f1789,f1841,f1893,f1928,f1981,f2033,f2079,f2094,f2123,f2152,f2182,f2194,f2224,f2253,f2265,f2317,f2362,f2393,f2439,f2486,f2517,f2565,f2595,f2605,f2615,f2646,f2696,f2727,f2780,f2809,f2839,f2868,f2898,f2931,f2985,f3015,f3044,f3073,f3102,f3130,f3142,f3154,f3166,f3200,f3232,f3285,f3339,f3407,f3461,f3514,f3568,f3623,f3677,f3730,f3764,f3817,f3891,f3927,f3978,f3994,f4048,f4103,f4115,f4125,f4135,f4164,f4193,f4222,f4251,f4280,f4292,f4338,f4367,f4379,f4391,f4443,f4479,f4533,f4587,f4641,f4677,f4731,f4782,f4820,f4893,f4944,f4995,f5029,f5078,f5129,f5180,f5214,f5265,f5335,f5384,f5435,f5487,f5538,f5589,f5622,f5632,f5642,f5652,f5662,f5672,f5682,f5755,f5791,f5842,f5893,f5964,f6017,f6029,f6082,f6114,f6165,f6216,f6228,f6281,f6332,f6366,f6400,f6433,f6503,f6513,f6525,f6535,f6545,f6555,f6565,f6597,f6648,f6664,f6676,f6729,f6741,f6751,f6785,f6819,f6847,f6863,f6876,f6888,f6939,f6990,f7042,f7052,f7064,f7074,f7084,f7096,f7106,f7116,f7167,f7220,f7230,f7242,f7252,f7262,f7272,f7306,f7355,f7365,f7416,f7488,f7559,f7574,f7586,f7637,f7689,f7758,f7811,f7865,f7898,f7930,f7946,f7958,f8009,f8062,f8074,f8084,f8094,f8104,f8114,f8144,f8154,f8164,f8174,f8226,f8238,f8270,f8323,f8376,f8386,f8438,f8450,f8466,f8519,f8553,f8606,f8659,f8712,f8746,f8799,f8852,f8905,f8995,f9046,f9099,f9169,f9204,f9254,f9305,f9337,f9371,f9422,f9474,f9508,f9580,f9651,f9704,f9739,f9773,f9822,f9894,f9947,f10000,f10053,f10087,f10118,f10169,f10220,f10252,f10305,f10354,f10407,f10476,f10530,f10563,f10633,f10705,f10739,f10789,f10806,f10840,f10893,f10946,f10997,f11049,f11118,f11171,f11223,f11274,f11325,f11359,f11412,f11422,f11477,f11511,f11564,f11617,f11629,f11639,f11649,f11659,f11669,f11721,f11733,f11749,f11762,f11774,f11808,f11838,f11891,f11962,f11996,f12049,f12100,f12116,f12150,f12204,f12238,f12291,f12345,f12382,f12450,f12502,f12555,f12589,f12659,f12671,f12705,f12775,f12826,f12843,f12876,f12929,f12981,f13050,f13085,f13114,f13166,f13219,f13231,f13241,f13292,f13308,f13358,f13411,f13463,f13479,f13532,f13585,f13617,f13652,f13703,f13720,f13732,f13786,f13840,f13852,f13906,f13975,f14028,f14079,f14130,f14183,f14237,f14288,f14342,f14376,f14427,f14495,f14546,f14580,f14631,f14684,f14715,f14766,f14817,f14870,f14921,f14972,f14988,f15022,f15057,f15089,f15099,f15173,f15224,f15258,f15312,f15363,f15397,f15431,f15484,f15538,f15592,f15604,f15614,f15624,f15674,f15725,f15779,f15830,f15881,f15891,f15944,f15995,f16049,f16061,f16071,f16081,f16132,f16183,f16237,f16310,f16343,f16396,f16430,f16503,f16513,f16525,f16593,f16609,f16663,f16716,f16786,f16837,f16888,f16957,f17010,f17020,f17032,f17100,f17151,f17202,f17253,f17304,f17339,f17373,f17405,f17439,f17490,f17541,f17557,f17591,f17601,f17611,f17662,f17714,f17748,f17782,f17816,f17886,f17896,f17908,f17976,f18028,f18080,f18096,f18147,f18178,f18210,f18243,f18253]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM375+1.020 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:06:38 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.40  % Drodi V3.5.1
% 1.43/0.65  % Refutation found
% 1.43/0.65  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.43/0.65  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.53/0.72  % Elapsed time: 0.364166 seconds
% 1.53/0.72  % CPU time: 1.571226 seconds
% 1.53/0.72  % Memory used: 53.703 MB
%------------------------------------------------------------------------------