TSTP Solution File: NUM376+1.010 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 : Thu Aug 31 11:29:48 EDT 2023

% Result   : Unsatisfiable 0.46s 1.16s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ? [X0,X1] :
      ( n9 != n10
      & n8 != n10
      & n8 != n9
      & n7 != n10
      & n7 != n9
      & n7 != n8
      & n6 != n10
      & n6 != n9
      & n6 != n8
      & n6 != n7
      & n5 != n10
      & n5 != n9
      & n5 != n8
      & n5 != n7
      & n5 != n6
      & n4 != n10
      & n4 != n9
      & n4 != n8
      & n4 != n7
      & n4 != n6
      & n4 != n5
      & n3 != n10
      & n3 != n9
      & n3 != n8
      & n3 != n7
      & n3 != n6
      & n3 != n5
      & n3 != n4
      & n2 != n10
      & n2 != n9
      & n2 != n8
      & n2 != n7
      & n2 != n6
      & n2 != n5
      & n2 != n4
      & n2 != n3
      & n1 != n10
      & n1 != n9
      & n1 != n8
      & n1 != n7
      & n1 != n6
      & n1 != n5
      & n1 != n4
      & n1 != n3
      & n1 != n2
      & n0 != n10
      & n0 != n9
      & n0 != n8
      & n0 != n7
      & n0 != n6
      & n0 != n5
      & n0 != n4
      & n0 != n3
      & n0 != n2
      & n0 != n1
      & sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) != sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1)))
      & ( n10 = X1
        | n9 = X1
        | n8 = X1
        | n7 = X1
        | n6 = X1
        | n5 = X1
        | n4 = X1
        | n3 = X1
        | n2 = X1
        | n1 = X1
        | n0 = X1 )
      & ( n10 = X0
        | n9 = X0
        | n8 = X0
        | n7 = X0
        | n6 = X0
        | n5 = X0
        | n4 = X0
        | n3 = X0
        | n2 = X0
        | n1 = X0
        | n0 = X0 )
      & n9 = sum(n10,n10)
      & n8 = sum(n10,n9)
      & n7 = sum(n10,n8)
      & n6 = sum(n10,n7)
      & n5 = sum(n10,n6)
      & n4 = sum(n10,n5)
      & n3 = sum(n10,n4)
      & n2 = sum(n10,n3)
      & n1 = sum(n10,n2)
      & n0 = sum(n10,n1)
      & n10 = sum(n10,n0)
      & n8 = sum(n9,n10)
      & n7 = sum(n9,n9)
      & n6 = sum(n9,n8)
      & n5 = sum(n9,n7)
      & n4 = sum(n9,n6)
      & n3 = sum(n9,n5)
      & n2 = sum(n9,n4)
      & n1 = sum(n9,n3)
      & n0 = sum(n9,n2)
      & n10 = sum(n9,n1)
      & n9 = sum(n9,n0)
      & n7 = sum(n8,n10)
      & n6 = sum(n8,n9)
      & n5 = sum(n8,n8)
      & n4 = sum(n8,n7)
      & n3 = sum(n8,n6)
      & n2 = sum(n8,n5)
      & n1 = sum(n8,n4)
      & n0 = sum(n8,n3)
      & n10 = sum(n8,n2)
      & n9 = sum(n8,n1)
      & n8 = sum(n8,n0)
      & n6 = sum(n7,n10)
      & n5 = sum(n7,n9)
      & n4 = sum(n7,n8)
      & n3 = sum(n7,n7)
      & n2 = sum(n7,n6)
      & n1 = sum(n7,n5)
      & n0 = sum(n7,n4)
      & n10 = sum(n7,n3)
      & n9 = sum(n7,n2)
      & n8 = sum(n7,n1)
      & n7 = sum(n7,n0)
      & n5 = sum(n6,n10)
      & n4 = sum(n6,n9)
      & n3 = sum(n6,n8)
      & n2 = sum(n6,n7)
      & n1 = sum(n6,n6)
      & n0 = sum(n6,n5)
      & n10 = sum(n6,n4)
      & n9 = sum(n6,n3)
      & n8 = sum(n6,n2)
      & n7 = sum(n6,n1)
      & n6 = sum(n6,n0)
      & n4 = sum(n5,n10)
      & n3 = sum(n5,n9)
      & n2 = sum(n5,n8)
      & n1 = sum(n5,n7)
      & n0 = sum(n5,n6)
      & n10 = sum(n5,n5)
      & n9 = sum(n5,n4)
      & n8 = sum(n5,n3)
      & n7 = sum(n5,n2)
      & n6 = sum(n5,n1)
      & n5 = sum(n5,n0)
      & n3 = sum(n4,n10)
      & n2 = sum(n4,n9)
      & n1 = sum(n4,n8)
      & n0 = sum(n4,n7)
      & n10 = sum(n4,n6)
      & n9 = sum(n4,n5)
      & n8 = sum(n4,n4)
      & n7 = sum(n4,n3)
      & n6 = sum(n4,n2)
      & n5 = sum(n4,n1)
      & n4 = sum(n4,n0)
      & n2 = sum(n3,n10)
      & n1 = sum(n3,n9)
      & n0 = sum(n3,n8)
      & n10 = sum(n3,n7)
      & n9 = sum(n3,n6)
      & n8 = sum(n3,n5)
      & n7 = sum(n3,n4)
      & n6 = sum(n3,n3)
      & n5 = sum(n3,n2)
      & n4 = sum(n3,n1)
      & n3 = sum(n3,n0)
      & n1 = sum(n2,n10)
      & n0 = sum(n2,n9)
      & n10 = sum(n2,n8)
      & n9 = sum(n2,n7)
      & n8 = sum(n2,n6)
      & n7 = sum(n2,n5)
      & n6 = sum(n2,n4)
      & n5 = sum(n2,n3)
      & n4 = sum(n2,n2)
      & n3 = sum(n2,n1)
      & n2 = sum(n2,n0)
      & n0 = sum(n1,n10)
      & n10 = sum(n1,n9)
      & n9 = sum(n1,n8)
      & n8 = sum(n1,n7)
      & n7 = sum(n1,n6)
      & n6 = sum(n1,n5)
      & n5 = sum(n1,n4)
      & n4 = sum(n1,n3)
      & n3 = sum(n1,n2)
      & n2 = sum(n1,n1)
      & n1 = sum(n1,n0)
      & n10 = sum(n0,n10)
      & n9 = sum(n0,n9)
      & n8 = sum(n0,n8)
      & n7 = sum(n0,n7)
      & n6 = sum(n0,n6)
      & n5 = sum(n0,n5)
      & n4 = sum(n0,n4)
      & n3 = sum(n0,n3)
      & n2 = sum(n0,n2)
      & n1 = sum(n0,n1)
      & n0 = sum(n0,n0)
      & n9 = pred(n10)
      & n8 = pred(n9)
      & n7 = pred(n8)
      & n6 = pred(n7)
      & n5 = pred(n6)
      & n4 = pred(n5)
      & n3 = pred(n4)
      & n2 = pred(n3)
      & n1 = pred(n2)
      & n0 = pred(n1)
      & n10 = pred(n0)
      & n0 = succ(n10)
      & succ(n9) = n10
      & succ(n8) = n9
      & succ(n7) = n8
      & succ(n6) = n7
      & succ(n5) = n6
      & succ(n4) = n5
      & succ(n3) = n4
      & succ(n2) = n3
      & succ(n1) = n2
      & succ(n0) = n1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f147,plain,
    ( n10 = sK0
    | n9 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0
    | n0 = sK0 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f148,plain,
    ( n10 = sK1
    | n9 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1
    | n0 = sK1 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f149,plain,
    sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))),
    inference(cnf_transformation,[],[f3]) ).

cnf(c_104,plain,
    sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))),
    inference(cnf_transformation,[],[f149]) ).

cnf(c_105,plain,
    ( n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1
    | n0 = sK1 ),
    inference(cnf_transformation,[],[f148]) ).

cnf(c_106,plain,
    ( n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0
    | n0 = sK0 ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_107,plain,
    sum(n10,n10) = n9,
    inference(cnf_transformation,[],[f146]) ).

cnf(c_108,plain,
    sum(n10,n9) = n8,
    inference(cnf_transformation,[],[f145]) ).

cnf(c_109,plain,
    sum(n10,n8) = n7,
    inference(cnf_transformation,[],[f144]) ).

cnf(c_110,plain,
    sum(n10,n7) = n6,
    inference(cnf_transformation,[],[f143]) ).

cnf(c_111,plain,
    sum(n10,n6) = n5,
    inference(cnf_transformation,[],[f142]) ).

cnf(c_112,plain,
    sum(n10,n5) = n4,
    inference(cnf_transformation,[],[f141]) ).

cnf(c_113,plain,
    sum(n10,n4) = n3,
    inference(cnf_transformation,[],[f140]) ).

cnf(c_114,plain,
    sum(n10,n3) = n2,
    inference(cnf_transformation,[],[f139]) ).

cnf(c_115,plain,
    sum(n10,n2) = n1,
    inference(cnf_transformation,[],[f138]) ).

cnf(c_116,plain,
    sum(n10,n1) = n0,
    inference(cnf_transformation,[],[f137]) ).

cnf(c_117,plain,
    sum(n10,n0) = n10,
    inference(cnf_transformation,[],[f136]) ).

cnf(c_118,plain,
    sum(n9,n10) = n8,
    inference(cnf_transformation,[],[f135]) ).

cnf(c_119,plain,
    sum(n9,n9) = n7,
    inference(cnf_transformation,[],[f134]) ).

cnf(c_120,plain,
    sum(n9,n8) = n6,
    inference(cnf_transformation,[],[f133]) ).

cnf(c_121,plain,
    sum(n9,n7) = n5,
    inference(cnf_transformation,[],[f132]) ).

cnf(c_122,plain,
    sum(n9,n6) = n4,
    inference(cnf_transformation,[],[f131]) ).

cnf(c_123,plain,
    sum(n9,n5) = n3,
    inference(cnf_transformation,[],[f130]) ).

cnf(c_124,plain,
    sum(n9,n4) = n2,
    inference(cnf_transformation,[],[f129]) ).

cnf(c_125,plain,
    sum(n9,n3) = n1,
    inference(cnf_transformation,[],[f128]) ).

cnf(c_126,plain,
    sum(n9,n2) = n0,
    inference(cnf_transformation,[],[f127]) ).

cnf(c_127,plain,
    sum(n9,n1) = n10,
    inference(cnf_transformation,[],[f126]) ).

cnf(c_128,plain,
    sum(n9,n0) = n9,
    inference(cnf_transformation,[],[f125]) ).

cnf(c_129,plain,
    sum(n8,n10) = n7,
    inference(cnf_transformation,[],[f124]) ).

cnf(c_130,plain,
    sum(n8,n9) = n6,
    inference(cnf_transformation,[],[f123]) ).

cnf(c_131,plain,
    sum(n8,n8) = n5,
    inference(cnf_transformation,[],[f122]) ).

cnf(c_132,plain,
    sum(n8,n7) = n4,
    inference(cnf_transformation,[],[f121]) ).

cnf(c_133,plain,
    sum(n8,n6) = n3,
    inference(cnf_transformation,[],[f120]) ).

cnf(c_134,plain,
    sum(n8,n5) = n2,
    inference(cnf_transformation,[],[f119]) ).

cnf(c_135,plain,
    sum(n8,n4) = n1,
    inference(cnf_transformation,[],[f118]) ).

cnf(c_136,plain,
    sum(n8,n3) = n0,
    inference(cnf_transformation,[],[f117]) ).

cnf(c_137,plain,
    sum(n8,n2) = n10,
    inference(cnf_transformation,[],[f116]) ).

cnf(c_138,plain,
    sum(n8,n1) = n9,
    inference(cnf_transformation,[],[f115]) ).

cnf(c_139,plain,
    sum(n8,n0) = n8,
    inference(cnf_transformation,[],[f114]) ).

cnf(c_140,plain,
    sum(n7,n10) = n6,
    inference(cnf_transformation,[],[f113]) ).

cnf(c_141,plain,
    sum(n7,n9) = n5,
    inference(cnf_transformation,[],[f112]) ).

cnf(c_142,plain,
    sum(n7,n8) = n4,
    inference(cnf_transformation,[],[f111]) ).

cnf(c_143,plain,
    sum(n7,n7) = n3,
    inference(cnf_transformation,[],[f110]) ).

cnf(c_144,plain,
    sum(n7,n6) = n2,
    inference(cnf_transformation,[],[f109]) ).

cnf(c_145,plain,
    sum(n7,n5) = n1,
    inference(cnf_transformation,[],[f108]) ).

cnf(c_146,plain,
    sum(n7,n4) = n0,
    inference(cnf_transformation,[],[f107]) ).

cnf(c_147,plain,
    sum(n7,n3) = n10,
    inference(cnf_transformation,[],[f106]) ).

cnf(c_148,plain,
    sum(n7,n2) = n9,
    inference(cnf_transformation,[],[f105]) ).

cnf(c_149,plain,
    sum(n7,n1) = n8,
    inference(cnf_transformation,[],[f104]) ).

cnf(c_150,plain,
    sum(n7,n0) = n7,
    inference(cnf_transformation,[],[f103]) ).

cnf(c_151,plain,
    sum(n6,n10) = n5,
    inference(cnf_transformation,[],[f102]) ).

cnf(c_152,plain,
    sum(n6,n9) = n4,
    inference(cnf_transformation,[],[f101]) ).

cnf(c_153,plain,
    sum(n6,n8) = n3,
    inference(cnf_transformation,[],[f100]) ).

cnf(c_154,plain,
    sum(n6,n7) = n2,
    inference(cnf_transformation,[],[f99]) ).

cnf(c_155,plain,
    sum(n6,n6) = n1,
    inference(cnf_transformation,[],[f98]) ).

cnf(c_156,plain,
    sum(n6,n5) = n0,
    inference(cnf_transformation,[],[f97]) ).

cnf(c_157,plain,
    sum(n6,n4) = n10,
    inference(cnf_transformation,[],[f96]) ).

cnf(c_158,plain,
    sum(n6,n3) = n9,
    inference(cnf_transformation,[],[f95]) ).

cnf(c_159,plain,
    sum(n6,n2) = n8,
    inference(cnf_transformation,[],[f94]) ).

cnf(c_160,plain,
    sum(n6,n1) = n7,
    inference(cnf_transformation,[],[f93]) ).

cnf(c_161,plain,
    sum(n6,n0) = n6,
    inference(cnf_transformation,[],[f92]) ).

cnf(c_162,plain,
    sum(n5,n10) = n4,
    inference(cnf_transformation,[],[f91]) ).

cnf(c_163,plain,
    sum(n5,n9) = n3,
    inference(cnf_transformation,[],[f90]) ).

cnf(c_164,plain,
    sum(n5,n8) = n2,
    inference(cnf_transformation,[],[f89]) ).

cnf(c_165,plain,
    sum(n5,n7) = n1,
    inference(cnf_transformation,[],[f88]) ).

cnf(c_166,plain,
    sum(n5,n6) = n0,
    inference(cnf_transformation,[],[f87]) ).

cnf(c_167,plain,
    sum(n5,n5) = n10,
    inference(cnf_transformation,[],[f86]) ).

cnf(c_168,plain,
    sum(n5,n4) = n9,
    inference(cnf_transformation,[],[f85]) ).

cnf(c_169,plain,
    sum(n5,n3) = n8,
    inference(cnf_transformation,[],[f84]) ).

cnf(c_170,plain,
    sum(n5,n2) = n7,
    inference(cnf_transformation,[],[f83]) ).

cnf(c_171,plain,
    sum(n5,n1) = n6,
    inference(cnf_transformation,[],[f82]) ).

cnf(c_172,plain,
    sum(n5,n0) = n5,
    inference(cnf_transformation,[],[f81]) ).

cnf(c_173,plain,
    sum(n4,n10) = n3,
    inference(cnf_transformation,[],[f80]) ).

cnf(c_174,plain,
    sum(n4,n9) = n2,
    inference(cnf_transformation,[],[f79]) ).

cnf(c_175,plain,
    sum(n4,n8) = n1,
    inference(cnf_transformation,[],[f78]) ).

cnf(c_176,plain,
    sum(n4,n7) = n0,
    inference(cnf_transformation,[],[f77]) ).

cnf(c_177,plain,
    sum(n4,n6) = n10,
    inference(cnf_transformation,[],[f76]) ).

cnf(c_178,plain,
    sum(n4,n5) = n9,
    inference(cnf_transformation,[],[f75]) ).

cnf(c_179,plain,
    sum(n4,n4) = n8,
    inference(cnf_transformation,[],[f74]) ).

cnf(c_180,plain,
    sum(n4,n3) = n7,
    inference(cnf_transformation,[],[f73]) ).

cnf(c_181,plain,
    sum(n4,n2) = n6,
    inference(cnf_transformation,[],[f72]) ).

cnf(c_182,plain,
    sum(n4,n1) = n5,
    inference(cnf_transformation,[],[f71]) ).

cnf(c_183,plain,
    sum(n4,n0) = n4,
    inference(cnf_transformation,[],[f70]) ).

cnf(c_184,plain,
    sum(n3,n10) = n2,
    inference(cnf_transformation,[],[f69]) ).

cnf(c_185,plain,
    sum(n3,n9) = n1,
    inference(cnf_transformation,[],[f68]) ).

cnf(c_186,plain,
    sum(n3,n8) = n0,
    inference(cnf_transformation,[],[f67]) ).

cnf(c_187,plain,
    sum(n3,n7) = n10,
    inference(cnf_transformation,[],[f66]) ).

cnf(c_188,plain,
    sum(n3,n6) = n9,
    inference(cnf_transformation,[],[f65]) ).

cnf(c_189,plain,
    sum(n3,n5) = n8,
    inference(cnf_transformation,[],[f64]) ).

cnf(c_190,plain,
    sum(n3,n4) = n7,
    inference(cnf_transformation,[],[f63]) ).

cnf(c_191,plain,
    sum(n3,n3) = n6,
    inference(cnf_transformation,[],[f62]) ).

cnf(c_192,plain,
    sum(n3,n2) = n5,
    inference(cnf_transformation,[],[f61]) ).

cnf(c_193,plain,
    sum(n3,n1) = n4,
    inference(cnf_transformation,[],[f60]) ).

cnf(c_194,plain,
    sum(n3,n0) = n3,
    inference(cnf_transformation,[],[f59]) ).

cnf(c_195,plain,
    sum(n2,n10) = n1,
    inference(cnf_transformation,[],[f58]) ).

cnf(c_196,plain,
    sum(n2,n9) = n0,
    inference(cnf_transformation,[],[f57]) ).

cnf(c_197,plain,
    sum(n2,n8) = n10,
    inference(cnf_transformation,[],[f56]) ).

cnf(c_198,plain,
    sum(n2,n7) = n9,
    inference(cnf_transformation,[],[f55]) ).

cnf(c_199,plain,
    sum(n2,n6) = n8,
    inference(cnf_transformation,[],[f54]) ).

cnf(c_200,plain,
    sum(n2,n5) = n7,
    inference(cnf_transformation,[],[f53]) ).

cnf(c_201,plain,
    sum(n2,n4) = n6,
    inference(cnf_transformation,[],[f52]) ).

cnf(c_202,plain,
    sum(n2,n3) = n5,
    inference(cnf_transformation,[],[f51]) ).

cnf(c_203,plain,
    sum(n2,n2) = n4,
    inference(cnf_transformation,[],[f50]) ).

cnf(c_204,plain,
    sum(n2,n1) = n3,
    inference(cnf_transformation,[],[f49]) ).

cnf(c_205,plain,
    sum(n2,n0) = n2,
    inference(cnf_transformation,[],[f48]) ).

cnf(c_206,plain,
    sum(n1,n10) = n0,
    inference(cnf_transformation,[],[f47]) ).

cnf(c_207,plain,
    sum(n1,n9) = n10,
    inference(cnf_transformation,[],[f46]) ).

cnf(c_208,plain,
    sum(n1,n8) = n9,
    inference(cnf_transformation,[],[f45]) ).

cnf(c_209,plain,
    sum(n1,n7) = n8,
    inference(cnf_transformation,[],[f44]) ).

cnf(c_210,plain,
    sum(n1,n6) = n7,
    inference(cnf_transformation,[],[f43]) ).

cnf(c_211,plain,
    sum(n1,n5) = n6,
    inference(cnf_transformation,[],[f42]) ).

cnf(c_212,plain,
    sum(n1,n4) = n5,
    inference(cnf_transformation,[],[f41]) ).

cnf(c_213,plain,
    sum(n1,n3) = n4,
    inference(cnf_transformation,[],[f40]) ).

cnf(c_214,plain,
    sum(n1,n2) = n3,
    inference(cnf_transformation,[],[f39]) ).

cnf(c_215,plain,
    sum(n1,n1) = n2,
    inference(cnf_transformation,[],[f38]) ).

cnf(c_216,plain,
    sum(n1,n0) = n1,
    inference(cnf_transformation,[],[f37]) ).

cnf(c_217,plain,
    sum(n0,n10) = n10,
    inference(cnf_transformation,[],[f36]) ).

cnf(c_218,plain,
    sum(n0,n9) = n9,
    inference(cnf_transformation,[],[f35]) ).

cnf(c_219,plain,
    sum(n0,n8) = n8,
    inference(cnf_transformation,[],[f34]) ).

cnf(c_220,plain,
    sum(n0,n7) = n7,
    inference(cnf_transformation,[],[f33]) ).

cnf(c_221,plain,
    sum(n0,n6) = n6,
    inference(cnf_transformation,[],[f32]) ).

cnf(c_222,plain,
    sum(n0,n5) = n5,
    inference(cnf_transformation,[],[f31]) ).

cnf(c_223,plain,
    sum(n0,n4) = n4,
    inference(cnf_transformation,[],[f30]) ).

cnf(c_224,plain,
    sum(n0,n3) = n3,
    inference(cnf_transformation,[],[f29]) ).

cnf(c_225,plain,
    sum(n0,n2) = n2,
    inference(cnf_transformation,[],[f28]) ).

cnf(c_226,plain,
    sum(n0,n1) = n1,
    inference(cnf_transformation,[],[f27]) ).

cnf(c_227,plain,
    sum(n0,n0) = n0,
    inference(cnf_transformation,[],[f26]) ).

cnf(c_228,plain,
    pred(n10) = n9,
    inference(cnf_transformation,[],[f25]) ).

cnf(c_229,plain,
    pred(n9) = n8,
    inference(cnf_transformation,[],[f24]) ).

cnf(c_230,plain,
    pred(n8) = n7,
    inference(cnf_transformation,[],[f23]) ).

cnf(c_231,plain,
    pred(n7) = n6,
    inference(cnf_transformation,[],[f22]) ).

cnf(c_232,plain,
    pred(n6) = n5,
    inference(cnf_transformation,[],[f21]) ).

cnf(c_233,plain,
    pred(n5) = n4,
    inference(cnf_transformation,[],[f20]) ).

cnf(c_234,plain,
    pred(n4) = n3,
    inference(cnf_transformation,[],[f19]) ).

cnf(c_235,plain,
    pred(n3) = n2,
    inference(cnf_transformation,[],[f18]) ).

cnf(c_236,plain,
    pred(n2) = n1,
    inference(cnf_transformation,[],[f17]) ).

cnf(c_237,plain,
    pred(n1) = n0,
    inference(cnf_transformation,[],[f16]) ).

cnf(c_238,plain,
    pred(n0) = n10,
    inference(cnf_transformation,[],[f15]) ).

cnf(c_239,plain,
    succ(n10) = n0,
    inference(cnf_transformation,[],[f14]) ).

cnf(c_240,plain,
    succ(n9) = n10,
    inference(cnf_transformation,[],[f13]) ).

cnf(c_241,plain,
    succ(n8) = n9,
    inference(cnf_transformation,[],[f12]) ).

cnf(c_242,plain,
    succ(n7) = n8,
    inference(cnf_transformation,[],[f11]) ).

cnf(c_243,plain,
    succ(n6) = n7,
    inference(cnf_transformation,[],[f10]) ).

cnf(c_244,plain,
    succ(n5) = n6,
    inference(cnf_transformation,[],[f9]) ).

cnf(c_245,plain,
    succ(n4) = n5,
    inference(cnf_transformation,[],[f8]) ).

cnf(c_246,plain,
    succ(n3) = n4,
    inference(cnf_transformation,[],[f7]) ).

cnf(c_247,plain,
    succ(n2) = n3,
    inference(cnf_transformation,[],[f6]) ).

cnf(c_248,plain,
    succ(n1) = n2,
    inference(cnf_transformation,[],[f5]) ).

cnf(c_249,plain,
    succ(n0) = n1,
    inference(cnf_transformation,[],[f4]) ).

cnf(c_1214,plain,
    ( sum(sum(pred(sK0),succ(n0)),sum(pred(n0),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n0),succ(n0)))
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(superposition,[status(thm)],[c_105,c_104]) ).

cnf(c_1215,plain,
    ( sum(sum(pred(sK0),n1),sum(n10,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n0)
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_1214,c_116,c_238,c_249]) ).

cnf(c_1249,plain,
    ( sum(sum(pred(n0),succ(n0)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n0),succ(sK1)),sum(pred(sK1),succ(n0)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(superposition,[status(thm)],[c_106,c_104]) ).

cnf(c_1250,plain,
    ( sum(sum(n10,succ(sK1)),sum(pred(sK1),n1)) != sum(n0,sum(pred(sK1),succ(sK1)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_1249,c_116,c_238,c_249]) ).

cnf(c_1284,plain,
    ( sum(sum(pred(n0),n1),sum(n10,succ(n0))) != sum(sum(pred(n0),succ(n0)),n0)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0
    | n2 = sK1
    | n1 = sK0
    | n1 = sK1 ),
    inference(superposition,[status(thm)],[c_106,c_1215]) ).

cnf(c_1286,plain,
    ( sum(n0,n0) != sum(n0,n0)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0
    | n2 = sK1
    | n1 = sK0
    | n1 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_1284,c_116,c_238,c_249]) ).

cnf(c_1287,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0
    | n2 = sK1
    | n1 = sK0
    | n1 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_1286]) ).

cnf(c_1373,plain,
    ( sum(sum(n10,succ(n1)),sum(pred(n1),n1)) != sum(n0,sum(pred(n1),succ(n1)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0
    | n2 = sK1
    | n1 = sK0 ),
    inference(superposition,[status(thm)],[c_1287,c_1250]) ).

cnf(c_1378,plain,
    ( n2 != n2
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0
    | n2 = sK1
    | n1 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_1373,c_115,c_215,c_225,c_226,c_237,c_248]) ).

cnf(c_1379,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0
    | n2 = sK1
    | n1 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_1378]) ).

cnf(c_1438,plain,
    ( sum(sum(n10,succ(n2)),sum(pred(n2),n1)) != sum(n0,sum(pred(n2),succ(n2)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0
    | n1 = sK0 ),
    inference(superposition,[status(thm)],[c_1379,c_1250]) ).

cnf(c_1443,plain,
    ( n4 != n4
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0
    | n1 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_1438,c_114,c_203,c_213,c_215,c_223,c_236,c_247]) ).

cnf(c_1444,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0
    | n1 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_1443]) ).

cnf(c_1518,plain,
    ( sum(sum(n10,succ(n3)),sum(pred(n3),n1)) != sum(n0,sum(pred(n3),succ(n3)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(superposition,[status(thm)],[c_1444,c_1250]) ).

cnf(c_1523,plain,
    ( n6 != n6
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_1518,c_113,c_191,c_201,c_204,c_221,c_235,c_246]) ).

cnf(c_1524,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_1523]) ).

cnf(c_1594,plain,
    ( sum(sum(n10,succ(n4)),sum(pred(n4),n1)) != sum(n0,sum(pred(n4),succ(n4)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(superposition,[status(thm)],[c_1524,c_1250]) ).

cnf(c_1597,plain,
    ( n8 != n8
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_1594,c_112,c_179,c_189,c_193,c_219,c_234,c_245]) ).

cnf(c_1598,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_1597]) ).

cnf(c_1664,plain,
    ( sum(sum(n10,succ(n5)),sum(pred(n5),n1)) != sum(n0,sum(pred(n5),succ(n5)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(superposition,[status(thm)],[c_1598,c_1250]) ).

cnf(c_1667,plain,
    ( n10 != n10
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_1664,c_111,c_167,c_177,c_182,c_217,c_233,c_244]) ).

cnf(c_1668,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_1667]) ).

cnf(c_1730,plain,
    ( sum(sum(n10,succ(n6)),sum(pred(n6),n1)) != sum(n0,sum(pred(n6),succ(n6)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(superposition,[status(thm)],[c_1668,c_1250]) ).

cnf(c_1733,plain,
    ( n1 != n1
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_1730,c_110,c_155,c_165,c_171,c_226,c_232,c_243]) ).

cnf(c_1734,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_1733]) ).

cnf(c_1792,plain,
    ( sum(sum(n10,succ(n7)),sum(pred(n7),n1)) != sum(n0,sum(pred(n7),succ(n7)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(superposition,[status(thm)],[c_1734,c_1250]) ).

cnf(c_1795,plain,
    ( n3 != n3
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_1792,c_109,c_143,c_153,c_160,c_224,c_231,c_242]) ).

cnf(c_1796,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_1795]) ).

cnf(c_1850,plain,
    ( sum(sum(n10,succ(n8)),sum(pred(n8),n1)) != sum(n0,sum(pred(n8),succ(n8)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(superposition,[status(thm)],[c_1796,c_1250]) ).

cnf(c_1853,plain,
    ( n5 != n5
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_1850,c_108,c_131,c_141,c_149,c_222,c_230,c_241]) ).

cnf(c_1854,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_1853]) ).

cnf(c_1904,plain,
    ( sum(sum(n10,succ(n10)),sum(pred(n10),n1)) != sum(n0,sum(pred(n10),succ(n10)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(superposition,[status(thm)],[c_1854,c_1250]) ).

cnf(c_1907,plain,
    ( n9 != n9
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_1904,c_107,c_117,c_127,c_128,c_218,c_228,c_239]) ).

cnf(c_1908,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_1907]) ).

cnf(c_1954,plain,
    ( sum(sum(n10,succ(n9)),sum(pred(n9),n1)) != sum(n0,sum(pred(n9),succ(n9)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(superposition,[status(thm)],[c_1908,c_1250]) ).

cnf(c_1957,plain,
    ( n7 != n7
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_1954,c_107,c_119,c_129,c_138,c_220,c_229,c_240]) ).

cnf(c_1958,plain,
    ( n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_1957]) ).

cnf(c_1999,plain,
    ( sum(sum(pred(n1),n1),sum(n10,succ(n1))) != sum(sum(pred(n1),succ(n1)),n0)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0
    | n2 = sK1
    | n1 = sK1 ),
    inference(superposition,[status(thm)],[c_1958,c_1215]) ).

cnf(c_2000,plain,
    ( sum(sum(pred(n1),succ(n1)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n1),succ(sK1)),sum(pred(sK1),succ(n1)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(superposition,[status(thm)],[c_1958,c_104]) ).

cnf(c_2001,plain,
    ( sum(sum(n0,succ(sK1)),sum(pred(sK1),n2)) != sum(n2,sum(pred(sK1),succ(sK1)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_2000,c_225,c_237,c_248]) ).

cnf(c_2012,plain,
    ( n2 != n2
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0
    | n2 = sK1
    | n1 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_1999,c_115,c_205,c_215,c_225,c_226,c_237,c_248]) ).

cnf(c_2013,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0
    | n2 = sK1
    | n1 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_2012]) ).

cnf(c_2094,plain,
    ( sum(sum(n0,succ(n1)),sum(pred(n1),n2)) != sum(n2,sum(pred(n1),succ(n1)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0
    | n2 = sK1 ),
    inference(superposition,[status(thm)],[c_2013,c_2001]) ).

cnf(c_2099,plain,
    ( sum(n2,n2) != sum(n2,n2)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0
    | n2 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_2094,c_225,c_237,c_248]) ).

cnf(c_2100,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0
    | n2 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_2099]) ).

cnf(c_2156,plain,
    ( sum(sum(n0,succ(n2)),sum(pred(n2),n2)) != sum(n2,sum(pred(n2),succ(n2)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0 ),
    inference(superposition,[status(thm)],[c_2100,c_2001]) ).

cnf(c_2161,plain,
    ( n6 != n6
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_2156,c_191,c_201,c_213,c_214,c_224,c_236,c_247]) ).

cnf(c_2162,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_2161]) ).

cnf(c_2215,plain,
    ( sum(sum(n0,succ(n3)),sum(pred(n3),n2)) != sum(n2,sum(pred(n3),succ(n3)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n2 = sK0 ),
    inference(superposition,[status(thm)],[c_2162,c_2001]) ).

cnf(c_2220,plain,
    ( n8 != n8
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n2 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_2215,c_179,c_199,c_201,c_203,c_223,c_235,c_246]) ).

cnf(c_2221,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n2 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_2220]) ).

cnf(c_2287,plain,
    ( sum(sum(n0,succ(n4)),sum(pred(n4),n2)) != sum(n2,sum(pred(n4),succ(n4)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(superposition,[status(thm)],[c_2221,c_2001]) ).

cnf(c_2290,plain,
    ( n10 != n10
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_2287,c_167,c_189,c_192,c_197,c_222,c_234,c_245]) ).

cnf(c_2291,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_2290]) ).

cnf(c_2353,plain,
    ( sum(sum(n0,succ(n5)),sum(pred(n5),n2)) != sum(n2,sum(pred(n5),succ(n5)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(superposition,[status(thm)],[c_2291,c_2001]) ).

cnf(c_2356,plain,
    ( n1 != n1
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_2353,c_155,c_177,c_181,c_195,c_221,c_233,c_244]) ).

cnf(c_2357,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_2356]) ).

cnf(c_2415,plain,
    ( sum(sum(n0,succ(n6)),sum(pred(n6),n2)) != sum(n2,sum(pred(n6),succ(n6)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(superposition,[status(thm)],[c_2357,c_2001]) ).

cnf(c_2418,plain,
    ( n3 != n3
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_2415,c_143,c_165,c_170,c_204,c_220,c_232,c_243]) ).

cnf(c_2419,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_2418]) ).

cnf(c_2473,plain,
    ( sum(sum(n0,succ(n7)),sum(pred(n7),n2)) != sum(n2,sum(pred(n7),succ(n7)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(superposition,[status(thm)],[c_2419,c_2001]) ).

cnf(c_2476,plain,
    ( n5 != n5
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_2473,c_131,c_153,c_159,c_202,c_219,c_231,c_242]) ).

cnf(c_2477,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_2476]) ).

cnf(c_2527,plain,
    ( sum(sum(n0,succ(n8)),sum(pred(n8),n2)) != sum(n2,sum(pred(n8),succ(n8)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(superposition,[status(thm)],[c_2477,c_2001]) ).

cnf(c_2530,plain,
    ( n7 != n7
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_2527,c_119,c_141,c_148,c_200,c_218,c_230,c_241]) ).

cnf(c_2531,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_2530]) ).

cnf(c_2577,plain,
    ( sum(sum(n0,succ(n10)),sum(pred(n10),n2)) != sum(n2,sum(pred(n10),succ(n10)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(superposition,[status(thm)],[c_2531,c_2001]) ).

cnf(c_2580,plain,
    ( n0 != n0
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_2577,c_126,c_128,c_196,c_227,c_228,c_239]) ).

cnf(c_2581,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_2580]) ).

cnf(c_2623,plain,
    ( sum(sum(n0,succ(n9)),sum(pred(n9),n2)) != sum(n2,sum(pred(n9),succ(n9)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(superposition,[status(thm)],[c_2581,c_2001]) ).

cnf(c_2626,plain,
    ( n9 != n9
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_2623,c_107,c_129,c_137,c_198,c_217,c_229,c_240]) ).

cnf(c_2627,plain,
    ( n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_2626]) ).

cnf(c_2664,plain,
    ( sum(sum(pred(n2),n1),sum(n10,succ(n2))) != sum(sum(pred(n2),succ(n2)),n0)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(superposition,[status(thm)],[c_2627,c_1215]) ).

cnf(c_2665,plain,
    ( sum(sum(pred(n2),succ(n2)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),succ(n2)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(superposition,[status(thm)],[c_2627,c_104]) ).

cnf(c_2666,plain,
    ( sum(sum(n1,succ(sK1)),sum(pred(sK1),n3)) != sum(n4,sum(pred(sK1),succ(sK1)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_2665,c_213,c_236,c_247]) ).

cnf(c_2676,plain,
    ( n4 != n4
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_2664,c_114,c_183,c_203,c_213,c_215,c_236,c_247]) ).

cnf(c_2677,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_2676]) ).

cnf(c_2753,plain,
    ( sum(sum(n1,succ(n1)),sum(pred(n1),n3)) != sum(n4,sum(pred(n1),succ(n1)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK1 ),
    inference(superposition,[status(thm)],[c_2677,c_2666]) ).

cnf(c_2758,plain,
    ( n6 != n6
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_2753,c_181,c_191,c_214,c_224,c_225,c_237,c_248]) ).

cnf(c_2759,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1
    | n2 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_2758]) ).

cnf(c_2812,plain,
    ( sum(sum(n1,succ(n2)),sum(pred(n2),n3)) != sum(n4,sum(pred(n2),succ(n2)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1 ),
    inference(superposition,[status(thm)],[c_2759,c_2666]) ).

cnf(c_2817,plain,
    ( sum(n4,n4) != sum(n4,n4)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_2812,c_213,c_236,c_247]) ).

cnf(c_2818,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0
    | n3 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_2817]) ).

cnf(c_2868,plain,
    ( sum(sum(n1,succ(n3)),sum(pred(n3),n3)) != sum(n4,sum(pred(n3),succ(n3)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0 ),
    inference(superposition,[status(thm)],[c_2818,c_2666]) ).

cnf(c_2873,plain,
    ( n10 != n10
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_2868,c_167,c_177,c_201,c_202,c_212,c_235,c_246]) ).

cnf(c_2874,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_2873]) ).

cnf(c_2921,plain,
    ( sum(sum(n1,succ(n4)),sum(pred(n4),n3)) != sum(n4,sum(pred(n4),succ(n4)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n3 = sK0 ),
    inference(superposition,[status(thm)],[c_2874,c_2666]) ).

cnf(c_2924,plain,
    ( n1 != n1
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n3 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_2921,c_155,c_175,c_189,c_191,c_211,c_234,c_245]) ).

cnf(c_2925,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n3 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_2924]) ).

cnf(c_2983,plain,
    ( sum(sum(n1,succ(n5)),sum(pred(n5),n3)) != sum(n4,sum(pred(n5),succ(n5)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(superposition,[status(thm)],[c_2925,c_2666]) ).

cnf(c_2986,plain,
    ( n3 != n3
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_2983,c_143,c_173,c_177,c_180,c_210,c_233,c_244]) ).

cnf(c_2987,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_2986]) ).

cnf(c_3041,plain,
    ( sum(sum(n1,succ(n6)),sum(pred(n6),n3)) != sum(n4,sum(pred(n6),succ(n6)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(superposition,[status(thm)],[c_2987,c_2666]) ).

cnf(c_3044,plain,
    ( n5 != n5
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_3041,c_131,c_165,c_169,c_182,c_209,c_232,c_243]) ).

cnf(c_3045,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_3044]) ).

cnf(c_3095,plain,
    ( sum(sum(n1,succ(n7)),sum(pred(n7),n3)) != sum(n4,sum(pred(n7),succ(n7)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(superposition,[status(thm)],[c_3045,c_2666]) ).

cnf(c_3098,plain,
    ( n7 != n7
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_3095,c_119,c_153,c_158,c_180,c_208,c_231,c_242]) ).

cnf(c_3099,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_3098]) ).

cnf(c_3145,plain,
    ( sum(sum(n1,succ(n8)),sum(pred(n8),n3)) != sum(n4,sum(pred(n8),succ(n8)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(superposition,[status(thm)],[c_3099,c_2666]) ).

cnf(c_3148,plain,
    ( n9 != n9
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_3145,c_107,c_141,c_147,c_178,c_207,c_230,c_241]) ).

cnf(c_3149,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_3148]) ).

cnf(c_3191,plain,
    ( sum(sum(n1,succ(n10)),sum(pred(n10),n3)) != sum(n4,sum(pred(n10),succ(n10)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(superposition,[status(thm)],[c_3149,c_2666]) ).

cnf(c_3194,plain,
    ( n2 != n2
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_3191,c_125,c_128,c_174,c_215,c_216,c_228,c_239]) ).

cnf(c_3195,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_3194]) ).

cnf(c_3233,plain,
    ( sum(sum(n1,succ(n9)),sum(pred(n9),n3)) != sum(n4,sum(pred(n9),succ(n9)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(superposition,[status(thm)],[c_3195,c_2666]) ).

cnf(c_3236,plain,
    ( n0 != n0
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_3233,c_129,c_136,c_176,c_206,c_227,c_229,c_240]) ).

cnf(c_3237,plain,
    ( n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_3236]) ).

cnf(c_3270,plain,
    ( sum(sum(pred(n3),n1),sum(n10,succ(n3))) != sum(sum(pred(n3),succ(n3)),n0)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(superposition,[status(thm)],[c_3237,c_1215]) ).

cnf(c_3271,plain,
    ( sum(sum(pred(n3),succ(n3)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n3),succ(sK1)),sum(pred(sK1),succ(n3)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(superposition,[status(thm)],[c_3237,c_104]) ).

cnf(c_3272,plain,
    ( sum(sum(n2,succ(sK1)),sum(pred(sK1),n4)) != sum(n6,sum(pred(sK1),succ(sK1)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_3271,c_201,c_235,c_246]) ).

cnf(c_3281,plain,
    ( n6 != n6
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_3270,c_113,c_161,c_191,c_201,c_204,c_235,c_246]) ).

cnf(c_3282,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_3281]) ).

cnf(c_3353,plain,
    ( sum(sum(n2,succ(n1)),sum(pred(n1),n4)) != sum(n6,sum(pred(n1),succ(n1)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(superposition,[status(thm)],[c_3282,c_3272]) ).

cnf(c_3358,plain,
    ( n8 != n8
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_3353,c_159,c_179,c_203,c_223,c_225,c_237,c_248]) ).

cnf(c_3359,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_3358]) ).

cnf(c_3409,plain,
    ( sum(sum(n2,succ(n2)),sum(pred(n2),n4)) != sum(n6,sum(pred(n2),succ(n2)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK1 ),
    inference(superposition,[status(thm)],[c_3359,c_3272]) ).

cnf(c_3414,plain,
    ( n10 != n10
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_3409,c_157,c_167,c_202,c_212,c_213,c_236,c_247]) ).

cnf(c_3415,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1
    | n3 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_3414]) ).

cnf(c_3462,plain,
    ( sum(sum(n2,succ(n3)),sum(pred(n3),n4)) != sum(n6,sum(pred(n3),succ(n3)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1 ),
    inference(superposition,[status(thm)],[c_3415,c_3272]) ).

cnf(c_3467,plain,
    ( sum(n6,n6) != sum(n6,n6)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_3462,c_201,c_235,c_246]) ).

cnf(c_3468,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0
    | n4 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_3467]) ).

cnf(c_3512,plain,
    ( sum(sum(n2,succ(n4)),sum(pred(n4),n4)) != sum(n6,sum(pred(n4),succ(n4)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0 ),
    inference(superposition,[status(thm)],[c_3468,c_3272]) ).

cnf(c_3515,plain,
    ( n3 != n3
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_3512,c_143,c_153,c_189,c_190,c_200,c_234,c_245]) ).

cnf(c_3516,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_3515]) ).

cnf(c_3557,plain,
    ( sum(sum(n2,succ(n5)),sum(pred(n5),n4)) != sum(n6,sum(pred(n5),succ(n5)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n4 = sK0 ),
    inference(superposition,[status(thm)],[c_3516,c_3272]) ).

cnf(c_3560,plain,
    ( n5 != n5
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n4 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_3557,c_131,c_151,c_177,c_179,c_199,c_233,c_244]) ).

cnf(c_3561,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n4 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_3560]) ).

cnf(c_3611,plain,
    ( sum(sum(n2,succ(n6)),sum(pred(n6),n4)) != sum(n6,sum(pred(n6),succ(n6)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(superposition,[status(thm)],[c_3561,c_3272]) ).

cnf(c_3614,plain,
    ( n7 != n7
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_3611,c_119,c_160,c_165,c_168,c_198,c_232,c_243]) ).

cnf(c_3615,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_3614]) ).

cnf(c_3661,plain,
    ( sum(sum(n2,succ(n7)),sum(pred(n7),n4)) != sum(n6,sum(pred(n7),succ(n7)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(superposition,[status(thm)],[c_3615,c_3272]) ).

cnf(c_3664,plain,
    ( n9 != n9
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_3661,c_107,c_153,c_157,c_158,c_197,c_231,c_242]) ).

cnf(c_3665,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_3664]) ).

cnf(c_3707,plain,
    ( sum(sum(n2,succ(n8)),sum(pred(n8),n4)) != sum(n6,sum(pred(n8),succ(n8)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(superposition,[status(thm)],[c_3665,c_3272]) ).

cnf(c_3710,plain,
    ( n0 != n0
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_3707,c_141,c_146,c_156,c_196,c_227,c_230,c_241]) ).

cnf(c_3711,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_3710]) ).

cnf(c_3749,plain,
    ( sum(sum(n2,succ(n10)),sum(pred(n10),n4)) != sum(n6,sum(pred(n10),succ(n10)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(superposition,[status(thm)],[c_3711,c_3272]) ).

cnf(c_3752,plain,
    ( n4 != n4
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_3749,c_124,c_128,c_152,c_203,c_205,c_228,c_239]) ).

cnf(c_3753,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_3752]) ).

cnf(c_3787,plain,
    ( sum(sum(n2,succ(n9)),sum(pred(n9),n4)) != sum(n6,sum(pred(n9),succ(n9)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(superposition,[status(thm)],[c_3753,c_3272]) ).

cnf(c_3790,plain,
    ( n2 != n2
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_3787,c_129,c_135,c_154,c_195,c_215,c_229,c_240]) ).

cnf(c_3791,plain,
    ( n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_3790]) ).

cnf(c_3820,plain,
    ( sum(sum(pred(n4),n1),sum(n10,succ(n4))) != sum(sum(pred(n4),succ(n4)),n0)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(superposition,[status(thm)],[c_3791,c_1215]) ).

cnf(c_3821,plain,
    ( sum(sum(pred(n4),succ(n4)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n4),succ(sK1)),sum(pred(sK1),succ(n4)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0 ),
    inference(superposition,[status(thm)],[c_3791,c_104]) ).

cnf(c_3822,plain,
    ( sum(sum(n3,succ(sK1)),sum(pred(sK1),n5)) != sum(n8,sum(pred(sK1),succ(sK1)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_3821,c_189,c_234,c_245]) ).

cnf(c_3830,plain,
    ( n8 != n8
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_3820,c_112,c_139,c_179,c_189,c_193,c_234,c_245]) ).

cnf(c_3831,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_3830]) ).

cnf(c_3897,plain,
    ( sum(sum(n3,succ(n1)),sum(pred(n1),n5)) != sum(n8,sum(pred(n1),succ(n1)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(superposition,[status(thm)],[c_3831,c_3822]) ).

cnf(c_3902,plain,
    ( n10 != n10
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_3897,c_137,c_167,c_192,c_222,c_225,c_237,c_248]) ).

cnf(c_3903,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_3902]) ).

cnf(c_3950,plain,
    ( sum(sum(n3,succ(n2)),sum(pred(n2),n5)) != sum(n8,sum(pred(n2),succ(n2)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(superposition,[status(thm)],[c_3903,c_3822]) ).

cnf(c_3955,plain,
    ( n1 != n1
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_3950,c_135,c_155,c_191,c_211,c_213,c_236,c_247]) ).

cnf(c_3956,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_3955]) ).

cnf(c_4000,plain,
    ( sum(sum(n3,succ(n3)),sum(pred(n3),n5)) != sum(n8,sum(pred(n3),succ(n3)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK1 ),
    inference(superposition,[status(thm)],[c_3956,c_3822]) ).

cnf(c_4005,plain,
    ( n3 != n3
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_4000,c_133,c_143,c_190,c_200,c_201,c_235,c_246]) ).

cnf(c_4006,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1
    | n4 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_4005]) ).

cnf(c_4047,plain,
    ( sum(sum(n3,succ(n4)),sum(pred(n4),n5)) != sum(n8,sum(pred(n4),succ(n4)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1 ),
    inference(superposition,[status(thm)],[c_4006,c_3822]) ).

cnf(c_4050,plain,
    ( sum(n8,n8) != sum(n8,n8)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_4047,c_189,c_234,c_245]) ).

cnf(c_4051,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0
    | n5 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_4050]) ).

cnf(c_4089,plain,
    ( sum(sum(n3,succ(n5)),sum(pred(n5),n5)) != sum(n8,sum(pred(n5),succ(n5)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0 ),
    inference(superposition,[status(thm)],[c_4051,c_3822]) ).

cnf(c_4092,plain,
    ( n7 != n7
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_4089,c_119,c_129,c_177,c_178,c_188,c_233,c_244]) ).

cnf(c_4093,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_4092]) ).

cnf(c_4128,plain,
    ( sum(sum(n3,succ(n6)),sum(pred(n6),n5)) != sum(n8,sum(pred(n6),succ(n6)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n5 = sK0 ),
    inference(superposition,[status(thm)],[c_4093,c_3822]) ).

cnf(c_4131,plain,
    ( n9 != n9
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n5 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_4128,c_107,c_138,c_165,c_167,c_187,c_232,c_243]) ).

cnf(c_4132,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n5 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_4131]) ).

cnf(c_4174,plain,
    ( sum(sum(n3,succ(n7)),sum(pred(n7),n5)) != sum(n8,sum(pred(n7),succ(n7)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0 ),
    inference(superposition,[status(thm)],[c_4132,c_3822]) ).

cnf(c_4177,plain,
    ( n0 != n0
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_4174,c_136,c_153,c_156,c_186,c_227,c_231,c_242]) ).

cnf(c_4178,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_4177]) ).

cnf(c_4216,plain,
    ( sum(sum(n3,succ(n8)),sum(pred(n8),n5)) != sum(n8,sum(pred(n8),succ(n8)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0 ),
    inference(superposition,[status(thm)],[c_4178,c_3822]) ).

cnf(c_4219,plain,
    ( n2 != n2
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_4216,c_134,c_141,c_145,c_185,c_215,c_230,c_241]) ).

cnf(c_4220,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_4219]) ).

cnf(c_4254,plain,
    ( sum(sum(n3,succ(n10)),sum(pred(n10),n5)) != sum(n8,sum(pred(n10),succ(n10)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0 ),
    inference(superposition,[status(thm)],[c_4220,c_3822]) ).

cnf(c_4257,plain,
    ( n6 != n6
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_4254,c_123,c_128,c_130,c_191,c_194,c_228,c_239]) ).

cnf(c_4258,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_4257]) ).

cnf(c_4288,plain,
    ( sum(sum(n3,succ(n9)),sum(pred(n9),n5)) != sum(n8,sum(pred(n9),succ(n9)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0 ),
    inference(superposition,[status(thm)],[c_4258,c_3822]) ).

cnf(c_4291,plain,
    ( n4 != n4
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_4288,c_129,c_132,c_134,c_184,c_203,c_229,c_240]) ).

cnf(c_4292,plain,
    ( n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_4291]) ).

cnf(c_4317,plain,
    ( sum(sum(pred(n5),n1),sum(n10,succ(n5))) != sum(sum(pred(n5),succ(n5)),n0)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(superposition,[status(thm)],[c_4292,c_1215]) ).

cnf(c_4318,plain,
    ( sum(sum(pred(n5),succ(n5)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n5),succ(sK1)),sum(pred(sK1),succ(n5)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0 ),
    inference(superposition,[status(thm)],[c_4292,c_104]) ).

cnf(c_4319,plain,
    ( sum(sum(n4,succ(sK1)),sum(pred(sK1),n6)) != sum(n10,sum(pred(sK1),succ(sK1)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_4318,c_177,c_233,c_244]) ).

cnf(c_4326,plain,
    ( n10 != n10
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_4317,c_111,c_117,c_167,c_177,c_182,c_233,c_244]) ).

cnf(c_4327,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_4326]) ).

cnf(c_4388,plain,
    ( sum(sum(n4,succ(n1)),sum(pred(n1),n6)) != sum(n10,sum(pred(n1),succ(n1)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(superposition,[status(thm)],[c_4327,c_4319]) ).

cnf(c_4393,plain,
    ( n1 != n1
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_4388,c_115,c_155,c_181,c_221,c_225,c_237,c_248]) ).

cnf(c_4394,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_4393]) ).

cnf(c_4438,plain,
    ( sum(sum(n4,succ(n2)),sum(pred(n2),n6)) != sum(n10,sum(pred(n2),succ(n2)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(superposition,[status(thm)],[c_4394,c_4319]) ).

cnf(c_4443,plain,
    ( n3 != n3
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_4438,c_113,c_143,c_180,c_210,c_213,c_236,c_247]) ).

cnf(c_4444,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_4443]) ).

cnf(c_4485,plain,
    ( sum(sum(n4,succ(n3)),sum(pred(n3),n6)) != sum(n10,sum(pred(n3),succ(n3)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(superposition,[status(thm)],[c_4444,c_4319]) ).

cnf(c_4490,plain,
    ( n5 != n5
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_4485,c_111,c_131,c_179,c_199,c_201,c_235,c_246]) ).

cnf(c_4491,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_4490]) ).

cnf(c_4529,plain,
    ( sum(sum(n4,succ(n4)),sum(pred(n4),n6)) != sum(n10,sum(pred(n4),succ(n4)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK1 ),
    inference(superposition,[status(thm)],[c_4491,c_4319]) ).

cnf(c_4532,plain,
    ( n7 != n7
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_4529,c_109,c_119,c_178,c_188,c_189,c_234,c_245]) ).

cnf(c_4533,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1
    | n5 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_4532]) ).

cnf(c_4568,plain,
    ( sum(sum(n4,succ(n5)),sum(pred(n5),n6)) != sum(n10,sum(pred(n5),succ(n5)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1 ),
    inference(superposition,[status(thm)],[c_4533,c_4319]) ).

cnf(c_4571,plain,
    ( sum(n10,n10) != sum(n10,n10)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_4568,c_177,c_233,c_244]) ).

cnf(c_4572,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0
    | n6 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_4571]) ).

cnf(c_4604,plain,
    ( sum(sum(n4,succ(n6)),sum(pred(n6),n6)) != sum(n10,sum(pred(n6),succ(n6)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0 ),
    inference(superposition,[status(thm)],[c_4572,c_4319]) ).

cnf(c_4607,plain,
    ( n0 != n0
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_4604,c_116,c_165,c_166,c_176,c_227,c_232,c_243]) ).

cnf(c_4608,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_4607]) ).

cnf(c_4637,plain,
    ( sum(sum(n4,succ(n7)),sum(pred(n7),n6)) != sum(n10,sum(pred(n7),succ(n7)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0 ),
    inference(superposition,[status(thm)],[c_4608,c_4319]) ).

cnf(c_4640,plain,
    ( n2 != n2
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_4637,c_114,c_153,c_155,c_175,c_215,c_231,c_242]) ).

cnf(c_4641,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n6 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_4640]) ).

cnf(c_4675,plain,
    ( sum(sum(n4,succ(n8)),sum(pred(n8),n6)) != sum(n10,sum(pred(n8),succ(n8)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0 ),
    inference(superposition,[status(thm)],[c_4641,c_4319]) ).

cnf(c_4678,plain,
    ( n4 != n4
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_4675,c_112,c_141,c_144,c_174,c_203,c_230,c_241]) ).

cnf(c_4679,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_4678]) ).

cnf(c_4709,plain,
    ( sum(sum(n4,succ(n10)),sum(pred(n10),n6)) != sum(n10,sum(pred(n10),succ(n10)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0 ),
    inference(superposition,[status(thm)],[c_4679,c_4319]) ).

cnf(c_4712,plain,
    ( n8 != n8
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_4709,c_108,c_122,c_128,c_179,c_183,c_228,c_239]) ).

cnf(c_4713,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_4712]) ).

cnf(c_4739,plain,
    ( sum(sum(n4,succ(n9)),sum(pred(n9),n6)) != sum(n10,sum(pred(n9),succ(n9)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0 ),
    inference(superposition,[status(thm)],[c_4713,c_4319]) ).

cnf(c_4742,plain,
    ( n6 != n6
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_4739,c_110,c_129,c_133,c_173,c_191,c_229,c_240]) ).

cnf(c_4743,plain,
    ( n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_4742]) ).

cnf(c_4764,plain,
    ( sum(sum(pred(n6),n1),sum(n10,succ(n6))) != sum(sum(pred(n6),succ(n6)),n0)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(superposition,[status(thm)],[c_4743,c_1215]) ).

cnf(c_4765,plain,
    ( sum(sum(pred(n6),succ(n6)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n6),succ(sK1)),sum(pred(sK1),succ(n6)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0 ),
    inference(superposition,[status(thm)],[c_4743,c_104]) ).

cnf(c_4766,plain,
    ( sum(sum(n5,succ(sK1)),sum(pred(sK1),n7)) != sum(n1,sum(pred(sK1),succ(sK1)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_4765,c_165,c_232,c_243]) ).

cnf(c_4772,plain,
    ( n1 != n1
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_4764,c_110,c_155,c_165,c_171,c_216,c_232,c_243]) ).

cnf(c_4773,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_4772]) ).

cnf(c_4829,plain,
    ( sum(sum(n5,succ(n1)),sum(pred(n1),n7)) != sum(n1,sum(pred(n1),succ(n1)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(superposition,[status(thm)],[c_4773,c_4766]) ).

cnf(c_4834,plain,
    ( n3 != n3
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_4829,c_143,c_170,c_214,c_220,c_225,c_237,c_248]) ).

cnf(c_4835,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_4834]) ).

cnf(c_4876,plain,
    ( sum(sum(n5,succ(n2)),sum(pred(n2),n7)) != sum(n1,sum(pred(n2),succ(n2)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(superposition,[status(thm)],[c_4835,c_4766]) ).

cnf(c_4881,plain,
    ( n5 != n5
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_4876,c_131,c_169,c_209,c_212,c_213,c_236,c_247]) ).

cnf(c_4882,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_4881]) ).

cnf(c_4920,plain,
    ( sum(sum(n5,succ(n3)),sum(pred(n3),n7)) != sum(n1,sum(pred(n3),succ(n3)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(superposition,[status(thm)],[c_4882,c_4766]) ).

cnf(c_4925,plain,
    ( n7 != n7
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_4920,c_119,c_168,c_198,c_201,c_210,c_235,c_246]) ).

cnf(c_4926,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_4925]) ).

cnf(c_4961,plain,
    ( sum(sum(n5,succ(n4)),sum(pred(n4),n7)) != sum(n1,sum(pred(n4),succ(n4)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1 ),
    inference(superposition,[status(thm)],[c_4926,c_4766]) ).

cnf(c_4964,plain,
    ( n9 != n9
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_4961,c_107,c_167,c_187,c_189,c_208,c_234,c_245]) ).

cnf(c_4965,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_4964]) ).

cnf(c_4997,plain,
    ( sum(sum(n5,succ(n5)),sum(pred(n5),n7)) != sum(n1,sum(pred(n5),succ(n5)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1 ),
    inference(superposition,[status(thm)],[c_4965,c_4766]) ).

cnf(c_5000,plain,
    ( n0 != n0
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_4997,c_166,c_176,c_177,c_206,c_227,c_233,c_244]) ).

cnf(c_5001,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1
    | n6 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5000]) ).

cnf(c_5030,plain,
    ( sum(sum(n5,succ(n6)),sum(pred(n6),n7)) != sum(n1,sum(pred(n6),succ(n6)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1 ),
    inference(superposition,[status(thm)],[c_5001,c_4766]) ).

cnf(c_5033,plain,
    ( sum(n1,n1) != sum(n1,n1)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5030,c_165,c_232,c_243]) ).

cnf(c_5034,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0
    | n7 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5033]) ).

cnf(c_5060,plain,
    ( sum(sum(n5,succ(n7)),sum(pred(n7),n7)) != sum(n1,sum(pred(n7),succ(n7)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0 ),
    inference(superposition,[status(thm)],[c_5034,c_4766]) ).

cnf(c_5063,plain,
    ( n4 != n4
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_5060,c_153,c_154,c_164,c_203,c_213,c_231,c_242]) ).

cnf(c_5064,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_5063]) ).

cnf(c_5087,plain,
    ( sum(sum(n5,succ(n8)),sum(pred(n8),n7)) != sum(n1,sum(pred(n8),succ(n8)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0 ),
    inference(superposition,[status(thm)],[c_5064,c_4766]) ).

cnf(c_5090,plain,
    ( n6 != n6
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_5087,c_141,c_143,c_163,c_191,c_211,c_230,c_241]) ).

cnf(c_5091,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n7 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_5090]) ).

cnf(c_5117,plain,
    ( sum(sum(n5,succ(n10)),sum(pred(n10),n7)) != sum(n1,sum(pred(n10),succ(n10)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0 ),
    inference(superposition,[status(thm)],[c_5091,c_4766]) ).

cnf(c_5120,plain,
    ( n10 != n10
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_5117,c_121,c_128,c_167,c_172,c_207,c_228,c_239]) ).

cnf(c_5121,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_5120]) ).

cnf(c_5143,plain,
    ( sum(sum(n5,succ(n9)),sum(pred(n9),n7)) != sum(n1,sum(pred(n9),succ(n9)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0 ),
    inference(superposition,[status(thm)],[c_5121,c_4766]) ).

cnf(c_5146,plain,
    ( n8 != n8
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_5143,c_129,c_132,c_162,c_179,c_209,c_229,c_240]) ).

cnf(c_5147,plain,
    ( n9 = sK0
    | n10 = sK0
    | n8 = sK0
    | n7 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_5146]) ).

cnf(c_5164,plain,
    ( sum(sum(pred(n7),n1),sum(n10,succ(n7))) != sum(sum(pred(n7),succ(n7)),n0)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(superposition,[status(thm)],[c_5147,c_1215]) ).

cnf(c_5165,plain,
    ( sum(sum(pred(n7),succ(n7)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n7),succ(sK1)),sum(pred(sK1),succ(n7)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0 ),
    inference(superposition,[status(thm)],[c_5147,c_104]) ).

cnf(c_5166,plain,
    ( sum(sum(n6,succ(sK1)),sum(pred(sK1),n8)) != sum(n3,sum(pred(sK1),succ(sK1)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_5165,c_153,c_231,c_242]) ).

cnf(c_5171,plain,
    ( n3 != n3
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5164,c_109,c_143,c_153,c_160,c_194,c_231,c_242]) ).

cnf(c_5172,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5171]) ).

cnf(c_5223,plain,
    ( sum(sum(n6,succ(n1)),sum(pred(n1),n8)) != sum(n3,sum(pred(n1),succ(n1)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(superposition,[status(thm)],[c_5172,c_5166]) ).

cnf(c_5228,plain,
    ( n5 != n5
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5223,c_131,c_159,c_192,c_219,c_225,c_237,c_248]) ).

cnf(c_5229,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5228]) ).

cnf(c_5267,plain,
    ( sum(sum(n6,succ(n2)),sum(pred(n2),n8)) != sum(n3,sum(pred(n2),succ(n2)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(superposition,[status(thm)],[c_5229,c_5166]) ).

cnf(c_5272,plain,
    ( n7 != n7
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5267,c_119,c_158,c_190,c_208,c_213,c_236,c_247]) ).

cnf(c_5273,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5272]) ).

cnf(c_5308,plain,
    ( sum(sum(n6,succ(n3)),sum(pred(n3),n8)) != sum(n3,sum(pred(n3),succ(n3)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(superposition,[status(thm)],[c_5273,c_5166]) ).

cnf(c_5313,plain,
    ( n9 != n9
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5308,c_107,c_157,c_188,c_197,c_201,c_235,c_246]) ).

cnf(c_5314,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5313]) ).

cnf(c_5346,plain,
    ( sum(sum(n6,succ(n4)),sum(pred(n4),n8)) != sum(n3,sum(pred(n4),succ(n4)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1 ),
    inference(superposition,[status(thm)],[c_5314,c_5166]) ).

cnf(c_5349,plain,
    ( n0 != n0
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5346,c_156,c_186,c_189,c_227,c_234,c_245]) ).

cnf(c_5350,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5349]) ).

cnf(c_5379,plain,
    ( sum(sum(n6,succ(n5)),sum(pred(n5),n8)) != sum(n3,sum(pred(n5),succ(n5)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1 ),
    inference(superposition,[status(thm)],[c_5350,c_5166]) ).

cnf(c_5382,plain,
    ( n2 != n2
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5379,c_155,c_175,c_177,c_184,c_215,c_233,c_244]) ).

cnf(c_5383,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5382]) ).

cnf(c_5409,plain,
    ( sum(sum(n6,succ(n6)),sum(pred(n6),n8)) != sum(n3,sum(pred(n6),succ(n6)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1 ),
    inference(superposition,[status(thm)],[c_5383,c_5166]) ).

cnf(c_5412,plain,
    ( n4 != n4
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5409,c_154,c_164,c_165,c_193,c_203,c_232,c_243]) ).

cnf(c_5413,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1
    | n7 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5412]) ).

cnf(c_5436,plain,
    ( sum(sum(n6,succ(n7)),sum(pred(n7),n8)) != sum(n3,sum(pred(n7),succ(n7)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1 ),
    inference(superposition,[status(thm)],[c_5413,c_5166]) ).

cnf(c_5439,plain,
    ( sum(n3,n3) != sum(n3,n3)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5436,c_153,c_231,c_242]) ).

cnf(c_5440,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0
    | n8 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5439]) ).

cnf(c_5460,plain,
    ( sum(sum(n6,succ(n8)),sum(pred(n8),n8)) != sum(n3,sum(pred(n8),succ(n8)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0 ),
    inference(superposition,[status(thm)],[c_5440,c_5166]) ).

cnf(c_5463,plain,
    ( n8 != n8
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_5460,c_141,c_142,c_152,c_179,c_189,c_230,c_241]) ).

cnf(c_5464,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_5463]) ).

cnf(c_5481,plain,
    ( sum(sum(n6,succ(n10)),sum(pred(n10),n8)) != sum(n3,sum(pred(n10),succ(n10)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0 ),
    inference(superposition,[status(thm)],[c_5464,c_5166]) ).

cnf(c_5484,plain,
    ( n1 != n1
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_5481,c_120,c_128,c_155,c_161,c_185,c_228,c_239]) ).

cnf(c_5485,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n8 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_5484]) ).

cnf(c_5503,plain,
    ( sum(sum(n6,succ(n9)),sum(pred(n9),n8)) != sum(n3,sum(pred(n9),succ(n9)))
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0 ),
    inference(superposition,[status(thm)],[c_5485,c_5166]) ).

cnf(c_5506,plain,
    ( n10 != n10
    | n9 = sK0
    | n10 = sK0
    | n8 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_5503,c_129,c_131,c_151,c_167,c_187,c_229,c_240]) ).

cnf(c_5507,plain,
    ( n9 = sK0
    | n10 = sK0
    | n8 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_5506]) ).

cnf(c_5520,plain,
    ( sum(sum(pred(n8),n1),sum(n10,succ(n8))) != sum(sum(pred(n8),succ(n8)),n0)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(superposition,[status(thm)],[c_5507,c_1215]) ).

cnf(c_5521,plain,
    ( sum(sum(pred(n8),succ(n8)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n8),succ(sK1)),sum(pred(sK1),succ(n8)))
    | n9 = sK0
    | n10 = sK0 ),
    inference(superposition,[status(thm)],[c_5507,c_104]) ).

cnf(c_5522,plain,
    ( sum(sum(n7,succ(sK1)),sum(pred(sK1),n9)) != sum(n5,sum(pred(sK1),succ(sK1)))
    | n9 = sK0
    | n10 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_5521,c_141,c_230,c_241]) ).

cnf(c_5526,plain,
    ( n5 != n5
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5520,c_108,c_131,c_141,c_149,c_172,c_230,c_241]) ).

cnf(c_5527,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5526]) ).

cnf(c_5573,plain,
    ( sum(sum(n7,succ(n1)),sum(pred(n1),n9)) != sum(n5,sum(pred(n1),succ(n1)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(superposition,[status(thm)],[c_5527,c_5522]) ).

cnf(c_5578,plain,
    ( n7 != n7
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5573,c_119,c_148,c_170,c_218,c_225,c_237,c_248]) ).

cnf(c_5579,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5578]) ).

cnf(c_5614,plain,
    ( sum(sum(n7,succ(n2)),sum(pred(n2),n9)) != sum(n5,sum(pred(n2),succ(n2)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(superposition,[status(thm)],[c_5579,c_5522]) ).

cnf(c_5619,plain,
    ( n9 != n9
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5614,c_107,c_147,c_168,c_207,c_213,c_236,c_247]) ).

cnf(c_5620,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5619]) ).

cnf(c_5652,plain,
    ( sum(sum(n7,succ(n3)),sum(pred(n3),n9)) != sum(n5,sum(pred(n3),succ(n3)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(superposition,[status(thm)],[c_5620,c_5522]) ).

cnf(c_5657,plain,
    ( n0 != n0
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5652,c_146,c_166,c_196,c_201,c_227,c_235,c_246]) ).

cnf(c_5658,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5657]) ).

cnf(c_5687,plain,
    ( sum(sum(n7,succ(n4)),sum(pred(n4),n9)) != sum(n5,sum(pred(n4),succ(n4)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1 ),
    inference(superposition,[status(thm)],[c_5658,c_5522]) ).

cnf(c_5690,plain,
    ( n2 != n2
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5687,c_145,c_164,c_185,c_189,c_215,c_234,c_245]) ).

cnf(c_5691,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5690]) ).

cnf(c_5717,plain,
    ( sum(sum(n7,succ(n5)),sum(pred(n5),n9)) != sum(n5,sum(pred(n5),succ(n5)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1 ),
    inference(superposition,[status(thm)],[c_5691,c_5522]) ).

cnf(c_5720,plain,
    ( n4 != n4
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5717,c_144,c_162,c_174,c_177,c_203,c_233,c_244]) ).

cnf(c_5721,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5720]) ).

cnf(c_5744,plain,
    ( sum(sum(n7,succ(n6)),sum(pred(n6),n9)) != sum(n5,sum(pred(n6),succ(n6)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1 ),
    inference(superposition,[status(thm)],[c_5721,c_5522]) ).

cnf(c_5747,plain,
    ( n6 != n6
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5744,c_143,c_163,c_165,c_171,c_191,c_232,c_243]) ).

cnf(c_5748,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5747]) ).

cnf(c_5768,plain,
    ( sum(sum(n7,succ(n7)),sum(pred(n7),n9)) != sum(n5,sum(pred(n7),succ(n7)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1 ),
    inference(superposition,[status(thm)],[c_5748,c_5522]) ).

cnf(c_5771,plain,
    ( n8 != n8
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5768,c_142,c_152,c_153,c_169,c_179,c_231,c_242]) ).

cnf(c_5772,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1
    | n8 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5771]) ).

cnf(c_5789,plain,
    ( sum(sum(n7,succ(n8)),sum(pred(n8),n9)) != sum(n5,sum(pred(n8),succ(n8)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1 ),
    inference(superposition,[status(thm)],[c_5772,c_5522]) ).

cnf(c_5792,plain,
    ( sum(n5,n5) != sum(n5,n5)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5789,c_141,c_230,c_241]) ).

cnf(c_5793,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0
    | n10 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5792]) ).

cnf(c_5807,plain,
    ( sum(sum(n7,succ(n10)),sum(pred(n10),n9)) != sum(n5,sum(pred(n10),succ(n10)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0 ),
    inference(superposition,[status(thm)],[c_5793,c_5522]) ).

cnf(c_5810,plain,
    ( n3 != n3
    | n9 = sK0
    | n9 = sK1
    | n10 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_5807,c_119,c_128,c_143,c_150,c_163,c_228,c_239]) ).

cnf(c_5811,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_5810]) ).

cnf(c_5822,plain,
    ( sum(sum(n7,succ(n9)),sum(pred(n9),n9)) != sum(n5,sum(pred(n9),succ(n9)))
    | n9 = sK0
    | n10 = sK0 ),
    inference(superposition,[status(thm)],[c_5811,c_5522]) ).

cnf(c_5825,plain,
    ( n1 != n1
    | n9 = sK0
    | n10 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_5822,c_129,c_130,c_140,c_155,c_165,c_229,c_240]) ).

cnf(c_5826,plain,
    ( n9 = sK0
    | n10 = sK0 ),
    inference(equality_resolution_simp,[status(thm)],[c_5825]) ).

cnf(c_5835,plain,
    ( sum(sum(pred(n10),n1),sum(n10,succ(n10))) != sum(sum(pred(n10),succ(n10)),n0)
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(superposition,[status(thm)],[c_5826,c_1215]) ).

cnf(c_5836,plain,
    ( sum(sum(pred(n10),succ(n10)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n10),succ(sK1)),sum(pred(sK1),succ(n10)))
    | n9 = sK0 ),
    inference(superposition,[status(thm)],[c_5826,c_104]) ).

cnf(c_5837,plain,
    ( sum(sum(n9,succ(sK1)),sum(pred(sK1),n0)) != sum(n9,sum(pred(sK1),succ(sK1)))
    | n9 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_5836,c_128,c_228,c_239]) ).

cnf(c_5840,plain,
    ( n9 != n9
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5835,c_107,c_117,c_127,c_128,c_228,c_239]) ).

cnf(c_5841,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5840]) ).

cnf(c_5882,plain,
    ( sum(sum(n9,succ(n1)),sum(pred(n1),n0)) != sum(n9,sum(pred(n1),succ(n1)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(superposition,[status(thm)],[c_5841,c_5837]) ).

cnf(c_5887,plain,
    ( n0 != n0
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5882,c_126,c_225,c_227,c_237,c_248]) ).

cnf(c_5888,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5887]) ).

cnf(c_5920,plain,
    ( sum(sum(n9,succ(n2)),sum(pred(n2),n0)) != sum(n9,sum(pred(n2),succ(n2)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(superposition,[status(thm)],[c_5888,c_5837]) ).

cnf(c_5925,plain,
    ( n2 != n2
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5920,c_124,c_125,c_213,c_215,c_216,c_236,c_247]) ).

cnf(c_5926,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5925]) ).

cnf(c_5955,plain,
    ( sum(sum(n9,succ(n3)),sum(pred(n3),n0)) != sum(n9,sum(pred(n3),succ(n3)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(superposition,[status(thm)],[c_5926,c_5837]) ).

cnf(c_5960,plain,
    ( n4 != n4
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5955,c_122,c_124,c_201,c_203,c_205,c_235,c_246]) ).

cnf(c_5961,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5960]) ).

cnf(c_5987,plain,
    ( sum(sum(n9,succ(n4)),sum(pred(n4),n0)) != sum(n9,sum(pred(n4),succ(n4)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1 ),
    inference(superposition,[status(thm)],[c_5961,c_5837]) ).

cnf(c_5990,plain,
    ( n6 != n6
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_5987,c_120,c_123,c_189,c_191,c_194,c_234,c_245]) ).

cnf(c_5991,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_5990]) ).

cnf(c_6014,plain,
    ( sum(sum(n9,succ(n5)),sum(pred(n5),n0)) != sum(n9,sum(pred(n5),succ(n5)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1 ),
    inference(superposition,[status(thm)],[c_5991,c_5837]) ).

cnf(c_6017,plain,
    ( n8 != n8
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6014,c_118,c_122,c_177,c_179,c_183,c_233,c_244]) ).

cnf(c_6018,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_6017]) ).

cnf(c_6038,plain,
    ( sum(sum(n9,succ(n6)),sum(pred(n6),n0)) != sum(n9,sum(pred(n6),succ(n6)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1 ),
    inference(superposition,[status(thm)],[c_6018,c_5837]) ).

cnf(c_6041,plain,
    ( n10 != n10
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6038,c_121,c_127,c_165,c_167,c_172,c_232,c_243]) ).

cnf(c_6042,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_6041]) ).

cnf(c_6059,plain,
    ( sum(sum(n9,succ(n7)),sum(pred(n7),n0)) != sum(n9,sum(pred(n7),succ(n7)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1 ),
    inference(superposition,[status(thm)],[c_6042,c_5837]) ).

cnf(c_6062,plain,
    ( n1 != n1
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6059,c_120,c_125,c_153,c_155,c_161,c_231,c_242]) ).

cnf(c_6063,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_6062]) ).

cnf(c_6077,plain,
    ( sum(sum(n9,succ(n8)),sum(pred(n8),n0)) != sum(n9,sum(pred(n8),succ(n8)))
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1 ),
    inference(superposition,[status(thm)],[c_6063,c_5837]) ).

cnf(c_6080,plain,
    ( n3 != n3
    | n9 = sK0
    | n9 = sK1
    | n10 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6077,c_119,c_123,c_141,c_143,c_150,c_230,c_241]) ).

cnf(c_6081,plain,
    ( n9 = sK0
    | n9 = sK1
    | n10 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_6080]) ).

cnf(c_6092,plain,
    ( sum(sum(n9,succ(n10)),sum(pred(n10),n0)) != sum(n9,sum(pred(n10),succ(n10)))
    | n9 = sK0
    | n9 = sK1 ),
    inference(superposition,[status(thm)],[c_6081,c_5837]) ).

cnf(c_6095,plain,
    ( sum(n9,n9) != sum(n9,n9)
    | n9 = sK0
    | n9 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6092,c_128,c_228,c_239]) ).

cnf(c_6096,plain,
    ( n9 = sK0
    | n9 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_6095]) ).

cnf(c_6104,plain,
    ( sum(sum(n9,succ(n9)),sum(pred(n9),n0)) != sum(n9,sum(pred(n9),succ(n9)))
    | n9 = sK0 ),
    inference(superposition,[status(thm)],[c_6096,c_5837]) ).

cnf(c_6107,plain,
    ( n5 != n5
    | n9 = sK0 ),
    inference(light_normalisation,[status(thm)],[c_6104,c_118,c_121,c_129,c_131,c_139,c_229,c_240]) ).

cnf(c_6108,plain,
    n9 = sK0,
    inference(equality_resolution_simp,[status(thm)],[c_6107]) ).

cnf(c_6109,plain,
    ( sum(sum(pred(n9),n1),sum(n10,succ(n9))) != sum(sum(pred(n9),succ(n9)),n0)
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(demodulation,[status(thm)],[c_1215,c_6108]) ).

cnf(c_6110,plain,
    sum(sum(pred(n9),succ(n9)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n9),succ(sK1)),sum(pred(sK1),succ(n9))),
    inference(demodulation,[status(thm)],[c_104,c_6108]) ).

cnf(c_6111,plain,
    sum(sum(n8,succ(sK1)),sum(pred(sK1),n10)) != sum(n7,sum(pred(sK1),succ(sK1))),
    inference(light_normalisation,[status(thm)],[c_6110,c_129,c_229,c_240]) ).

cnf(c_6112,plain,
    ( n7 != n7
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6109,c_107,c_119,c_129,c_138,c_150,c_229,c_240]) ).

cnf(c_6113,plain,
    ( n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_6112]) ).

cnf(c_6134,plain,
    ( sum(sum(n8,succ(n1)),sum(pred(n1),n10)) != sum(n7,sum(pred(n1),succ(n1)))
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(superposition,[status(thm)],[c_6113,c_6111]) ).

cnf(c_6135,plain,
    ( n9 != n9
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6134,c_107,c_137,c_148,c_217,c_225,c_237,c_248]) ).

cnf(c_6136,plain,
    ( n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_6135]) ).

cnf(c_6155,plain,
    ( sum(sum(n8,succ(n2)),sum(pred(n2),n10)) != sum(n7,sum(pred(n2),succ(n2)))
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(superposition,[status(thm)],[c_6136,c_6111]) ).

cnf(c_6156,plain,
    ( n0 != n0
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6155,c_136,c_146,c_206,c_213,c_227,c_236,c_247]) ).

cnf(c_6157,plain,
    ( n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_6156]) ).

cnf(c_6174,plain,
    ( sum(sum(n8,succ(n3)),sum(pred(n3),n10)) != sum(n7,sum(pred(n3),succ(n3)))
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(superposition,[status(thm)],[c_6157,c_6111]) ).

cnf(c_6175,plain,
    ( n2 != n2
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6174,c_135,c_144,c_195,c_201,c_215,c_235,c_246]) ).

cnf(c_6176,plain,
    ( n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_6175]) ).

cnf(c_6191,plain,
    ( sum(sum(n8,succ(n4)),sum(pred(n4),n10)) != sum(n7,sum(pred(n4),succ(n4)))
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1 ),
    inference(superposition,[status(thm)],[c_6176,c_6111]) ).

cnf(c_6192,plain,
    ( n4 != n4
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6191,c_134,c_142,c_184,c_189,c_203,c_234,c_245]) ).

cnf(c_6193,plain,
    ( n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_6192]) ).

cnf(c_6206,plain,
    ( sum(sum(n8,succ(n5)),sum(pred(n5),n10)) != sum(n7,sum(pred(n5),succ(n5)))
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1 ),
    inference(superposition,[status(thm)],[c_6193,c_6111]) ).

cnf(c_6207,plain,
    ( n6 != n6
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6206,c_133,c_140,c_173,c_177,c_191,c_233,c_244]) ).

cnf(c_6208,plain,
    ( n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_6207]) ).

cnf(c_6219,plain,
    ( sum(sum(n8,succ(n6)),sum(pred(n6),n10)) != sum(n7,sum(pred(n6),succ(n6)))
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1 ),
    inference(superposition,[status(thm)],[c_6208,c_6111]) ).

cnf(c_6220,plain,
    ( n8 != n8
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6219,c_132,c_149,c_162,c_165,c_179,c_232,c_243]) ).

cnf(c_6221,plain,
    ( n9 = sK1
    | n10 = sK1
    | n8 = sK1
    | n7 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_6220]) ).

cnf(c_6230,plain,
    ( sum(sum(n8,succ(n7)),sum(pred(n7),n10)) != sum(n7,sum(pred(n7),succ(n7)))
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1 ),
    inference(superposition,[status(thm)],[c_6221,c_6111]) ).

cnf(c_6231,plain,
    ( n10 != n10
    | n9 = sK1
    | n10 = sK1
    | n8 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6230,c_131,c_147,c_151,c_153,c_167,c_231,c_242]) ).

cnf(c_6232,plain,
    ( n9 = sK1
    | n10 = sK1
    | n8 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_6231]) ).

cnf(c_6239,plain,
    ( sum(sum(n8,succ(n8)),sum(pred(n8),n10)) != sum(n7,sum(pred(n8),succ(n8)))
    | n9 = sK1
    | n10 = sK1 ),
    inference(superposition,[status(thm)],[c_6232,c_6111]) ).

cnf(c_6240,plain,
    ( n1 != n1
    | n9 = sK1
    | n10 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6239,c_130,c_140,c_141,c_145,c_155,c_230,c_241]) ).

cnf(c_6241,plain,
    ( n9 = sK1
    | n10 = sK1 ),
    inference(equality_resolution_simp,[status(thm)],[c_6240]) ).

cnf(c_6246,plain,
    ( sum(sum(n8,succ(n10)),sum(pred(n10),n10)) != sum(n7,sum(pred(n10),succ(n10)))
    | n9 = sK1 ),
    inference(superposition,[status(thm)],[c_6241,c_6111]) ).

cnf(c_6247,plain,
    ( n5 != n5
    | n9 = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6246,c_118,c_128,c_131,c_139,c_141,c_228,c_239]) ).

cnf(c_6248,plain,
    n9 = sK1,
    inference(equality_resolution_simp,[status(thm)],[c_6247]) ).

cnf(c_6249,plain,
    sum(sum(n8,succ(n9)),sum(pred(n9),n10)) != sum(n7,sum(pred(n9),succ(n9))),
    inference(demodulation,[status(thm)],[c_6111,c_6248]) ).

cnf(c_6250,plain,
    sum(n7,n7) != sum(n7,n7),
    inference(light_normalisation,[status(thm)],[c_6249,c_129,c_229,c_240]) ).

cnf(c_6251,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_6250]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Aug 25 11:52:54 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.46/1.16  % SZS status Started for theBenchmark.p
% 0.46/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.16  
% 0.46/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.46/1.16  
% 0.46/1.16  ------  iProver source info
% 0.46/1.16  
% 0.46/1.16  git: date: 2023-05-31 18:12:56 +0000
% 0.46/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.46/1.16  git: non_committed_changes: false
% 0.46/1.16  git: last_make_outside_of_git: false
% 0.46/1.16  
% 0.46/1.16  ------ Parsing...
% 0.46/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.46/1.16  
% 0.46/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.46/1.16  
% 0.46/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.46/1.16  
% 0.46/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.46/1.16  ------ Proving...
% 0.46/1.16  ------ Problem Properties 
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  clauses                                 201
% 0.46/1.16  conjectures                             0
% 0.46/1.16  EPR                                     57
% 0.46/1.16  Horn                                    199
% 0.46/1.16  unary                                   199
% 0.46/1.16  binary                                  0
% 0.46/1.16  lits                                    221
% 0.46/1.16  lits eq                                 221
% 0.46/1.16  fd_pure                                 0
% 0.46/1.16  fd_pseudo                               0
% 0.46/1.16  fd_cond                                 0
% 0.46/1.16  fd_pseudo_cond                          0
% 0.46/1.16  AC symbols                              0
% 0.46/1.16  
% 0.46/1.16  ------ Schedule dynamic 5 is on 
% 0.46/1.16  
% 0.46/1.16  ------ no conjectures: strip conj schedule 
% 0.46/1.16  
% 0.46/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  ------ 
% 0.46/1.16  Current options:
% 0.46/1.16  ------ 
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  ------ Proving...
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.16  
% 0.46/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.17  
% 0.46/1.17  
%------------------------------------------------------------------------------