TSTP Solution File: NUM376+1.020 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM376+1.020 : TPTP v7.0.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n130.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.625MB
% OS       : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan  8 15:02:19 EST 2018

% Result   : Unsatisfiable 0.92s
% Output   : CNFRefutation 0.92s
% Verified : 
% SZS Type : None (Could not find formula named 2y))
% Syntax   : Number of formulae    : 2317

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ? [X1,X2] :
      ( equal(succ(n0),n1)
      & equal(succ(n1),n2)
      & equal(succ(n2),n3)
      & equal(succ(n3),n4)
      & equal(succ(n4),n5)
      & equal(succ(n5),n6)
      & equal(succ(n6),n7)
      & equal(succ(n7),n8)
      & equal(succ(n8),n9)
      & equal(succ(n9),n10)
      & equal(succ(n10),n11)
      & equal(succ(n11),n12)
      & equal(succ(n12),n13)
      & equal(succ(n13),n14)
      & equal(succ(n14),n15)
      & equal(succ(n15),n16)
      & equal(succ(n16),n17)
      & equal(succ(n17),n18)
      & equal(succ(n18),n19)
      & equal(succ(n19),n20)
      & equal(succ(n20),n0)
      & equal(pred(n0),n20)
      & equal(pred(n1),n0)
      & equal(pred(n2),n1)
      & equal(pred(n3),n2)
      & equal(pred(n4),n3)
      & equal(pred(n5),n4)
      & equal(pred(n6),n5)
      & equal(pred(n7),n6)
      & equal(pred(n8),n7)
      & equal(pred(n9),n8)
      & equal(pred(n10),n9)
      & equal(pred(n11),n10)
      & equal(pred(n12),n11)
      & equal(pred(n13),n12)
      & equal(pred(n14),n13)
      & equal(pred(n15),n14)
      & equal(pred(n16),n15)
      & equal(pred(n17),n16)
      & equal(pred(n18),n17)
      & equal(pred(n19),n18)
      & equal(pred(n20),n19)
      & equal(sum(n0,n0),n0)
      & equal(sum(n0,n1),n1)
      & equal(sum(n0,n2),n2)
      & equal(sum(n0,n3),n3)
      & equal(sum(n0,n4),n4)
      & equal(sum(n0,n5),n5)
      & equal(sum(n0,n6),n6)
      & equal(sum(n0,n7),n7)
      & equal(sum(n0,n8),n8)
      & equal(sum(n0,n9),n9)
      & equal(sum(n0,n10),n10)
      & equal(sum(n0,n11),n11)
      & equal(sum(n0,n12),n12)
      & equal(sum(n0,n13),n13)
      & equal(sum(n0,n14),n14)
      & equal(sum(n0,n15),n15)
      & equal(sum(n0,n16),n16)
      & equal(sum(n0,n17),n17)
      & equal(sum(n0,n18),n18)
      & equal(sum(n0,n19),n19)
      & equal(sum(n0,n20),n20)
      & equal(sum(n1,n0),n1)
      & equal(sum(n1,n1),n2)
      & equal(sum(n1,n2),n3)
      & equal(sum(n1,n3),n4)
      & equal(sum(n1,n4),n5)
      & equal(sum(n1,n5),n6)
      & equal(sum(n1,n6),n7)
      & equal(sum(n1,n7),n8)
      & equal(sum(n1,n8),n9)
      & equal(sum(n1,n9),n10)
      & equal(sum(n1,n10),n11)
      & equal(sum(n1,n11),n12)
      & equal(sum(n1,n12),n13)
      & equal(sum(n1,n13),n14)
      & equal(sum(n1,n14),n15)
      & equal(sum(n1,n15),n16)
      & equal(sum(n1,n16),n17)
      & equal(sum(n1,n17),n18)
      & equal(sum(n1,n18),n19)
      & equal(sum(n1,n19),n20)
      & equal(sum(n1,n20),n0)
      & equal(sum(n2,n0),n2)
      & equal(sum(n2,n1),n3)
      & equal(sum(n2,n2),n4)
      & equal(sum(n2,n3),n5)
      & equal(sum(n2,n4),n6)
      & equal(sum(n2,n5),n7)
      & equal(sum(n2,n6),n8)
      & equal(sum(n2,n7),n9)
      & equal(sum(n2,n8),n10)
      & equal(sum(n2,n9),n11)
      & equal(sum(n2,n10),n12)
      & equal(sum(n2,n11),n13)
      & equal(sum(n2,n12),n14)
      & equal(sum(n2,n13),n15)
      & equal(sum(n2,n14),n16)
      & equal(sum(n2,n15),n17)
      & equal(sum(n2,n16),n18)
      & equal(sum(n2,n17),n19)
      & equal(sum(n2,n18),n20)
      & equal(sum(n2,n19),n0)
      & equal(sum(n2,n20),n1)
      & equal(sum(n3,n0),n3)
      & equal(sum(n3,n1),n4)
      & equal(sum(n3,n2),n5)
      & equal(sum(n3,n3),n6)
      & equal(sum(n3,n4),n7)
      & equal(sum(n3,n5),n8)
      & equal(sum(n3,n6),n9)
      & equal(sum(n3,n7),n10)
      & equal(sum(n3,n8),n11)
      & equal(sum(n3,n9),n12)
      & equal(sum(n3,n10),n13)
      & equal(sum(n3,n11),n14)
      & equal(sum(n3,n12),n15)
      & equal(sum(n3,n13),n16)
      & equal(sum(n3,n14),n17)
      & equal(sum(n3,n15),n18)
      & equal(sum(n3,n16),n19)
      & equal(sum(n3,n17),n20)
      & equal(sum(n3,n18),n0)
      & equal(sum(n3,n19),n1)
      & equal(sum(n3,n20),n2)
      & equal(sum(n4,n0),n4)
      & equal(sum(n4,n1),n5)
      & equal(sum(n4,n2),n6)
      & equal(sum(n4,n3),n7)
      & equal(sum(n4,n4),n8)
      & equal(sum(n4,n5),n9)
      & equal(sum(n4,n6),n10)
      & equal(sum(n4,n7),n11)
      & equal(sum(n4,n8),n12)
      & equal(sum(n4,n9),n13)
      & equal(sum(n4,n10),n14)
      & equal(sum(n4,n11),n15)
      & equal(sum(n4,n12),n16)
      & equal(sum(n4,n13),n17)
      & equal(sum(n4,n14),n18)
      & equal(sum(n4,n15),n19)
      & equal(sum(n4,n16),n20)
      & equal(sum(n4,n17),n0)
      & equal(sum(n4,n18),n1)
      & equal(sum(n4,n19),n2)
      & equal(sum(n4,n20),n3)
      & equal(sum(n5,n0),n5)
      & equal(sum(n5,n1),n6)
      & equal(sum(n5,n2),n7)
      & equal(sum(n5,n3),n8)
      & equal(sum(n5,n4),n9)
      & equal(sum(n5,n5),n10)
      & equal(sum(n5,n6),n11)
      & equal(sum(n5,n7),n12)
      & equal(sum(n5,n8),n13)
      & equal(sum(n5,n9),n14)
      & equal(sum(n5,n10),n15)
      & equal(sum(n5,n11),n16)
      & equal(sum(n5,n12),n17)
      & equal(sum(n5,n13),n18)
      & equal(sum(n5,n14),n19)
      & equal(sum(n5,n15),n20)
      & equal(sum(n5,n16),n0)
      & equal(sum(n5,n17),n1)
      & equal(sum(n5,n18),n2)
      & equal(sum(n5,n19),n3)
      & equal(sum(n5,n20),n4)
      & equal(sum(n6,n0),n6)
      & equal(sum(n6,n1),n7)
      & equal(sum(n6,n2),n8)
      & equal(sum(n6,n3),n9)
      & equal(sum(n6,n4),n10)
      & equal(sum(n6,n5),n11)
      & equal(sum(n6,n6),n12)
      & equal(sum(n6,n7),n13)
      & equal(sum(n6,n8),n14)
      & equal(sum(n6,n9),n15)
      & equal(sum(n6,n10),n16)
      & equal(sum(n6,n11),n17)
      & equal(sum(n6,n12),n18)
      & equal(sum(n6,n13),n19)
      & equal(sum(n6,n14),n20)
      & equal(sum(n6,n15),n0)
      & equal(sum(n6,n16),n1)
      & equal(sum(n6,n17),n2)
      & equal(sum(n6,n18),n3)
      & equal(sum(n6,n19),n4)
      & equal(sum(n6,n20),n5)
      & equal(sum(n7,n0),n7)
      & equal(sum(n7,n1),n8)
      & equal(sum(n7,n2),n9)
      & equal(sum(n7,n3),n10)
      & equal(sum(n7,n4),n11)
      & equal(sum(n7,n5),n12)
      & equal(sum(n7,n6),n13)
      & equal(sum(n7,n7),n14)
      & equal(sum(n7,n8),n15)
      & equal(sum(n7,n9),n16)
      & equal(sum(n7,n10),n17)
      & equal(sum(n7,n11),n18)
      & equal(sum(n7,n12),n19)
      & equal(sum(n7,n13),n20)
      & equal(sum(n7,n14),n0)
      & equal(sum(n7,n15),n1)
      & equal(sum(n7,n16),n2)
      & equal(sum(n7,n17),n3)
      & equal(sum(n7,n18),n4)
      & equal(sum(n7,n19),n5)
      & equal(sum(n7,n20),n6)
      & equal(sum(n8,n0),n8)
      & equal(sum(n8,n1),n9)
      & equal(sum(n8,n2),n10)
      & equal(sum(n8,n3),n11)
      & equal(sum(n8,n4),n12)
      & equal(sum(n8,n5),n13)
      & equal(sum(n8,n6),n14)
      & equal(sum(n8,n7),n15)
      & equal(sum(n8,n8),n16)
      & equal(sum(n8,n9),n17)
      & equal(sum(n8,n10),n18)
      & equal(sum(n8,n11),n19)
      & equal(sum(n8,n12),n20)
      & equal(sum(n8,n13),n0)
      & equal(sum(n8,n14),n1)
      & equal(sum(n8,n15),n2)
      & equal(sum(n8,n16),n3)
      & equal(sum(n8,n17),n4)
      & equal(sum(n8,n18),n5)
      & equal(sum(n8,n19),n6)
      & equal(sum(n8,n20),n7)
      & equal(sum(n9,n0),n9)
      & equal(sum(n9,n1),n10)
      & equal(sum(n9,n2),n11)
      & equal(sum(n9,n3),n12)
      & equal(sum(n9,n4),n13)
      & equal(sum(n9,n5),n14)
      & equal(sum(n9,n6),n15)
      & equal(sum(n9,n7),n16)
      & equal(sum(n9,n8),n17)
      & equal(sum(n9,n9),n18)
      & equal(sum(n9,n10),n19)
      & equal(sum(n9,n11),n20)
      & equal(sum(n9,n12),n0)
      & equal(sum(n9,n13),n1)
      & equal(sum(n9,n14),n2)
      & equal(sum(n9,n15),n3)
      & equal(sum(n9,n16),n4)
      & equal(sum(n9,n17),n5)
      & equal(sum(n9,n18),n6)
      & equal(sum(n9,n19),n7)
      & equal(sum(n9,n20),n8)
      & equal(sum(n10,n0),n10)
      & equal(sum(n10,n1),n11)
      & equal(sum(n10,n2),n12)
      & equal(sum(n10,n3),n13)
      & equal(sum(n10,n4),n14)
      & equal(sum(n10,n5),n15)
      & equal(sum(n10,n6),n16)
      & equal(sum(n10,n7),n17)
      & equal(sum(n10,n8),n18)
      & equal(sum(n10,n9),n19)
      & equal(sum(n10,n10),n20)
      & equal(sum(n10,n11),n0)
      & equal(sum(n10,n12),n1)
      & equal(sum(n10,n13),n2)
      & equal(sum(n10,n14),n3)
      & equal(sum(n10,n15),n4)
      & equal(sum(n10,n16),n5)
      & equal(sum(n10,n17),n6)
      & equal(sum(n10,n18),n7)
      & equal(sum(n10,n19),n8)
      & equal(sum(n10,n20),n9)
      & equal(sum(n11,n0),n11)
      & equal(sum(n11,n1),n12)
      & equal(sum(n11,n2),n13)
      & equal(sum(n11,n3),n14)
      & equal(sum(n11,n4),n15)
      & equal(sum(n11,n5),n16)
      & equal(sum(n11,n6),n17)
      & equal(sum(n11,n7),n18)
      & equal(sum(n11,n8),n19)
      & equal(sum(n11,n9),n20)
      & equal(sum(n11,n10),n0)
      & equal(sum(n11,n11),n1)
      & equal(sum(n11,n12),n2)
      & equal(sum(n11,n13),n3)
      & equal(sum(n11,n14),n4)
      & equal(sum(n11,n15),n5)
      & equal(sum(n11,n16),n6)
      & equal(sum(n11,n17),n7)
      & equal(sum(n11,n18),n8)
      & equal(sum(n11,n19),n9)
      & equal(sum(n11,n20),n10)
      & equal(sum(n12,n0),n12)
      & equal(sum(n12,n1),n13)
      & equal(sum(n12,n2),n14)
      & equal(sum(n12,n3),n15)
      & equal(sum(n12,n4),n16)
      & equal(sum(n12,n5),n17)
      & equal(sum(n12,n6),n18)
      & equal(sum(n12,n7),n19)
      & equal(sum(n12,n8),n20)
      & equal(sum(n12,n9),n0)
      & equal(sum(n12,n10),n1)
      & equal(sum(n12,n11),n2)
      & equal(sum(n12,n12),n3)
      & equal(sum(n12,n13),n4)
      & equal(sum(n12,n14),n5)
      & equal(sum(n12,n15),n6)
      & equal(sum(n12,n16),n7)
      & equal(sum(n12,n17),n8)
      & equal(sum(n12,n18),n9)
      & equal(sum(n12,n19),n10)
      & equal(sum(n12,n20),n11)
      & equal(sum(n13,n0),n13)
      & equal(sum(n13,n1),n14)
      & equal(sum(n13,n2),n15)
      & equal(sum(n13,n3),n16)
      & equal(sum(n13,n4),n17)
      & equal(sum(n13,n5),n18)
      & equal(sum(n13,n6),n19)
      & equal(sum(n13,n7),n20)
      & equal(sum(n13,n8),n0)
      & equal(sum(n13,n9),n1)
      & equal(sum(n13,n10),n2)
      & equal(sum(n13,n11),n3)
      & equal(sum(n13,n12),n4)
      & equal(sum(n13,n13),n5)
      & equal(sum(n13,n14),n6)
      & equal(sum(n13,n15),n7)
      & equal(sum(n13,n16),n8)
      & equal(sum(n13,n17),n9)
      & equal(sum(n13,n18),n10)
      & equal(sum(n13,n19),n11)
      & equal(sum(n13,n20),n12)
      & equal(sum(n14,n0),n14)
      & equal(sum(n14,n1),n15)
      & equal(sum(n14,n2),n16)
      & equal(sum(n14,n3),n17)
      & equal(sum(n14,n4),n18)
      & equal(sum(n14,n5),n19)
      & equal(sum(n14,n6),n20)
      & equal(sum(n14,n7),n0)
      & equal(sum(n14,n8),n1)
      & equal(sum(n14,n9),n2)
      & equal(sum(n14,n10),n3)
      & equal(sum(n14,n11),n4)
      & equal(sum(n14,n12),n5)
      & equal(sum(n14,n13),n6)
      & equal(sum(n14,n14),n7)
      & equal(sum(n14,n15),n8)
      & equal(sum(n14,n16),n9)
      & equal(sum(n14,n17),n10)
      & equal(sum(n14,n18),n11)
      & equal(sum(n14,n19),n12)
      & equal(sum(n14,n20),n13)
      & equal(sum(n15,n0),n15)
      & equal(sum(n15,n1),n16)
      & equal(sum(n15,n2),n17)
      & equal(sum(n15,n3),n18)
      & equal(sum(n15,n4),n19)
      & equal(sum(n15,n5),n20)
      & equal(sum(n15,n6),n0)
      & equal(sum(n15,n7),n1)
      & equal(sum(n15,n8),n2)
      & equal(sum(n15,n9),n3)
      & equal(sum(n15,n10),n4)
      & equal(sum(n15,n11),n5)
      & equal(sum(n15,n12),n6)
      & equal(sum(n15,n13),n7)
      & equal(sum(n15,n14),n8)
      & equal(sum(n15,n15),n9)
      & equal(sum(n15,n16),n10)
      & equal(sum(n15,n17),n11)
      & equal(sum(n15,n18),n12)
      & equal(sum(n15,n19),n13)
      & equal(sum(n15,n20),n14)
      & equal(sum(n16,n0),n16)
      & equal(sum(n16,n1),n17)
      & equal(sum(n16,n2),n18)
      & equal(sum(n16,n3),n19)
      & equal(sum(n16,n4),n20)
      & equal(sum(n16,n5),n0)
      & equal(sum(n16,n6),n1)
      & equal(sum(n16,n7),n2)
      & equal(sum(n16,n8),n3)
      & equal(sum(n16,n9),n4)
      & equal(sum(n16,n10),n5)
      & equal(sum(n16,n11),n6)
      & equal(sum(n16,n12),n7)
      & equal(sum(n16,n13),n8)
      & equal(sum(n16,n14),n9)
      & equal(sum(n16,n15),n10)
      & equal(sum(n16,n16),n11)
      & equal(sum(n16,n17),n12)
      & equal(sum(n16,n18),n13)
      & equal(sum(n16,n19),n14)
      & equal(sum(n16,n20),n15)
      & equal(sum(n17,n0),n17)
      & equal(sum(n17,n1),n18)
      & equal(sum(n17,n2),n19)
      & equal(sum(n17,n3),n20)
      & equal(sum(n17,n4),n0)
      & equal(sum(n17,n5),n1)
      & equal(sum(n17,n6),n2)
      & equal(sum(n17,n7),n3)
      & equal(sum(n17,n8),n4)
      & equal(sum(n17,n9),n5)
      & equal(sum(n17,n10),n6)
      & equal(sum(n17,n11),n7)
      & equal(sum(n17,n12),n8)
      & equal(sum(n17,n13),n9)
      & equal(sum(n17,n14),n10)
      & equal(sum(n17,n15),n11)
      & equal(sum(n17,n16),n12)
      & equal(sum(n17,n17),n13)
      & equal(sum(n17,n18),n14)
      & equal(sum(n17,n19),n15)
      & equal(sum(n17,n20),n16)
      & equal(sum(n18,n0),n18)
      & equal(sum(n18,n1),n19)
      & equal(sum(n18,n2),n20)
      & equal(sum(n18,n3),n0)
      & equal(sum(n18,n4),n1)
      & equal(sum(n18,n5),n2)
      & equal(sum(n18,n6),n3)
      & equal(sum(n18,n7),n4)
      & equal(sum(n18,n8),n5)
      & equal(sum(n18,n9),n6)
      & equal(sum(n18,n10),n7)
      & equal(sum(n18,n11),n8)
      & equal(sum(n18,n12),n9)
      & equal(sum(n18,n13),n10)
      & equal(sum(n18,n14),n11)
      & equal(sum(n18,n15),n12)
      & equal(sum(n18,n16),n13)
      & equal(sum(n18,n17),n14)
      & equal(sum(n18,n18),n15)
      & equal(sum(n18,n19),n16)
      & equal(sum(n18,n20),n17)
      & equal(sum(n19,n0),n19)
      & equal(sum(n19,n1),n20)
      & equal(sum(n19,n2),n0)
      & equal(sum(n19,n3),n1)
      & equal(sum(n19,n4),n2)
      & equal(sum(n19,n5),n3)
      & equal(sum(n19,n6),n4)
      & equal(sum(n19,n7),n5)
      & equal(sum(n19,n8),n6)
      & equal(sum(n19,n9),n7)
      & equal(sum(n19,n10),n8)
      & equal(sum(n19,n11),n9)
      & equal(sum(n19,n12),n10)
      & equal(sum(n19,n13),n11)
      & equal(sum(n19,n14),n12)
      & equal(sum(n19,n15),n13)
      & equal(sum(n19,n16),n14)
      & equal(sum(n19,n17),n15)
      & equal(sum(n19,n18),n16)
      & equal(sum(n19,n19),n17)
      & equal(sum(n19,n20),n18)
      & equal(sum(n20,n0),n20)
      & equal(sum(n20,n1),n0)
      & equal(sum(n20,n2),n1)
      & equal(sum(n20,n3),n2)
      & equal(sum(n20,n4),n3)
      & equal(sum(n20,n5),n4)
      & equal(sum(n20,n6),n5)
      & equal(sum(n20,n7),n6)
      & equal(sum(n20,n8),n7)
      & equal(sum(n20,n9),n8)
      & equal(sum(n20,n10),n9)
      & equal(sum(n20,n11),n10)
      & equal(sum(n20,n12),n11)
      & equal(sum(n20,n13),n12)
      & equal(sum(n20,n14),n13)
      & equal(sum(n20,n15),n14)
      & equal(sum(n20,n16),n15)
      & equal(sum(n20,n17),n16)
      & equal(sum(n20,n18),n17)
      & equal(sum(n20,n19),n18)
      & equal(sum(n20,n20),n19)
      & ( equal(X1,n0)
        | equal(X1,n1)
        | equal(X1,n2)
        | equal(X1,n3)
        | equal(X1,n4)
        | equal(X1,n5)
        | equal(X1,n6)
        | equal(X1,n7)
        | equal(X1,n8)
        | equal(X1,n9)
        | equal(X1,n10)
        | equal(X1,n11)
        | equal(X1,n12)
        | equal(X1,n13)
        | equal(X1,n14)
        | equal(X1,n15)
        | equal(X1,n16)
        | equal(X1,n17)
        | equal(X1,n18)
        | equal(X1,n19)
        | equal(X1,n20) )
      & ( equal(X2,n0)
        | equal(X2,n1)
        | equal(X2,n2)
        | equal(X2,n3)
        | equal(X2,n4)
        | equal(X2,n5)
        | equal(X2,n6)
        | equal(X2,n7)
        | equal(X2,n8)
        | equal(X2,n9)
        | equal(X2,n10)
        | equal(X2,n11)
        | equal(X2,n12)
        | equal(X2,n13)
        | equal(X2,n14)
        | equal(X2,n15)
        | equal(X2,n16)
        | equal(X2,n17)
        | equal(X2,n18)
        | equal(X2,n19)
        | equal(X2,n20) )
      & ~ equal(sum(sum(pred(X1),succ(X2)),sum(pred(X2),succ(X1))),sum(sum(pred(X1),succ(X1)),sum(pred(X2),succ(X2))))
      & ~ equal(n0,n1)
      & ~ equal(n0,n2)
      & ~ equal(n0,n3)
      & ~ equal(n0,n4)
      & ~ equal(n0,n5)
      & ~ equal(n0,n6)
      & ~ equal(n0,n7)
      & ~ equal(n0,n8)
      & ~ equal(n0,n9)
      & ~ equal(n0,n10)
      & ~ equal(n0,n11)
      & ~ equal(n0,n12)
      & ~ equal(n0,n13)
      & ~ equal(n0,n14)
      & ~ equal(n0,n15)
      & ~ equal(n0,n16)
      & ~ equal(n0,n17)
      & ~ equal(n0,n18)
      & ~ equal(n0,n19)
      & ~ equal(n0,n20)
      & ~ equal(n1,n2)
      & ~ equal(n1,n3)
      & ~ equal(n1,n4)
      & ~ equal(n1,n5)
      & ~ equal(n1,n6)
      & ~ equal(n1,n7)
      & ~ equal(n1,n8)
      & ~ equal(n1,n9)
      & ~ equal(n1,n10)
      & ~ equal(n1,n11)
      & ~ equal(n1,n12)
      & ~ equal(n1,n13)
      & ~ equal(n1,n14)
      & ~ equal(n1,n15)
      & ~ equal(n1,n16)
      & ~ equal(n1,n17)
      & ~ equal(n1,n18)
      & ~ equal(n1,n19)
      & ~ equal(n1,n20)
      & ~ equal(n2,n3)
      & ~ equal(n2,n4)
      & ~ equal(n2,n5)
      & ~ equal(n2,n6)
      & ~ equal(n2,n7)
      & ~ equal(n2,n8)
      & ~ equal(n2,n9)
      & ~ equal(n2,n10)
      & ~ equal(n2,n11)
      & ~ equal(n2,n12)
      & ~ equal(n2,n13)
      & ~ equal(n2,n14)
      & ~ equal(n2,n15)
      & ~ equal(n2,n16)
      & ~ equal(n2,n17)
      & ~ equal(n2,n18)
      & ~ equal(n2,n19)
      & ~ equal(n2,n20)
      & ~ equal(n3,n4)
      & ~ equal(n3,n5)
      & ~ equal(n3,n6)
      & ~ equal(n3,n7)
      & ~ equal(n3,n8)
      & ~ equal(n3,n9)
      & ~ equal(n3,n10)
      & ~ equal(n3,n11)
      & ~ equal(n3,n12)
      & ~ equal(n3,n13)
      & ~ equal(n3,n14)
      & ~ equal(n3,n15)
      & ~ equal(n3,n16)
      & ~ equal(n3,n17)
      & ~ equal(n3,n18)
      & ~ equal(n3,n19)
      & ~ equal(n3,n20)
      & ~ equal(n4,n5)
      & ~ equal(n4,n6)
      & ~ equal(n4,n7)
      & ~ equal(n4,n8)
      & ~ equal(n4,n9)
      & ~ equal(n4,n10)
      & ~ equal(n4,n11)
      & ~ equal(n4,n12)
      & ~ equal(n4,n13)
      & ~ equal(n4,n14)
      & ~ equal(n4,n15)
      & ~ equal(n4,n16)
      & ~ equal(n4,n17)
      & ~ equal(n4,n18)
      & ~ equal(n4,n19)
      & ~ equal(n4,n20)
      & ~ equal(n5,n6)
      & ~ equal(n5,n7)
      & ~ equal(n5,n8)
      & ~ equal(n5,n9)
      & ~ equal(n5,n10)
      & ~ equal(n5,n11)
      & ~ equal(n5,n12)
      & ~ equal(n5,n13)
      & ~ equal(n5,n14)
      & ~ equal(n5,n15)
      & ~ equal(n5,n16)
      & ~ equal(n5,n17)
      & ~ equal(n5,n18)
      & ~ equal(n5,n19)
      & ~ equal(n5,n20)
      & ~ equal(n6,n7)
      & ~ equal(n6,n8)
      & ~ equal(n6,n9)
      & ~ equal(n6,n10)
      & ~ equal(n6,n11)
      & ~ equal(n6,n12)
      & ~ equal(n6,n13)
      & ~ equal(n6,n14)
      & ~ equal(n6,n15)
      & ~ equal(n6,n16)
      & ~ equal(n6,n17)
      & ~ equal(n6,n18)
      & ~ equal(n6,n19)
      & ~ equal(n6,n20)
      & ~ equal(n7,n8)
      & ~ equal(n7,n9)
      & ~ equal(n7,n10)
      & ~ equal(n7,n11)
      & ~ equal(n7,n12)
      & ~ equal(n7,n13)
      & ~ equal(n7,n14)
      & ~ equal(n7,n15)
      & ~ equal(n7,n16)
      & ~ equal(n7,n17)
      & ~ equal(n7,n18)
      & ~ equal(n7,n19)
      & ~ equal(n7,n20)
      & ~ equal(n8,n9)
      & ~ equal(n8,n10)
      & ~ equal(n8,n11)
      & ~ equal(n8,n12)
      & ~ equal(n8,n13)
      & ~ equal(n8,n14)
      & ~ equal(n8,n15)
      & ~ equal(n8,n16)
      & ~ equal(n8,n17)
      & ~ equal(n8,n18)
      & ~ equal(n8,n19)
      & ~ equal(n8,n20)
      & ~ equal(n9,n10)
      & ~ equal(n9,n11)
      & ~ equal(n9,n12)
      & ~ equal(n9,n13)
      & ~ equal(n9,n14)
      & ~ equal(n9,n15)
      & ~ equal(n9,n16)
      & ~ equal(n9,n17)
      & ~ equal(n9,n18)
      & ~ equal(n9,n19)
      & ~ equal(n9,n20)
      & ~ equal(n10,n11)
      & ~ equal(n10,n12)
      & ~ equal(n10,n13)
      & ~ equal(n10,n14)
      & ~ equal(n10,n15)
      & ~ equal(n10,n16)
      & ~ equal(n10,n17)
      & ~ equal(n10,n18)
      & ~ equal(n10,n19)
      & ~ equal(n10,n20)
      & ~ equal(n11,n12)
      & ~ equal(n11,n13)
      & ~ equal(n11,n14)
      & ~ equal(n11,n15)
      & ~ equal(n11,n16)
      & ~ equal(n11,n17)
      & ~ equal(n11,n18)
      & ~ equal(n11,n19)
      & ~ equal(n11,n20)
      & ~ equal(n12,n13)
      & ~ equal(n12,n14)
      & ~ equal(n12,n15)
      & ~ equal(n12,n16)
      & ~ equal(n12,n17)
      & ~ equal(n12,n18)
      & ~ equal(n12,n19)
      & ~ equal(n12,n20)
      & ~ equal(n13,n14)
      & ~ equal(n13,n15)
      & ~ equal(n13,n16)
      & ~ equal(n13,n17)
      & ~ equal(n13,n18)
      & ~ equal(n13,n19)
      & ~ equal(n13,n20)
      & ~ equal(n14,n15)
      & ~ equal(n14,n16)
      & ~ equal(n14,n17)
      & ~ equal(n14,n18)
      & ~ equal(n14,n19)
      & ~ equal(n14,n20)
      & ~ equal(n15,n16)
      & ~ equal(n15,n17)
      & ~ equal(n15,n18)
      & ~ equal(n15,n19)
      & ~ equal(n15,n20)
      & ~ equal(n16,n17)
      & ~ equal(n16,n18)
      & ~ equal(n16,n19)
      & ~ equal(n16,n20)
      & ~ equal(n17,n18)
      & ~ equal(n17,n19)
      & ~ equal(n17,n20)
      & ~ equal(n18,n19)
      & ~ equal(n18,n20)
      & ~ equal(n19,n20) ),
    file('/export/starexec/sandbox2/tmp/tmp8DCFt_/sel_theBenchmark.p_1',try_satisfy_this) ).

fof(2,plain,
    ? [X3,X4] :
      ( equal(succ(n0),n1)
      & equal(succ(n1),n2)
      & equal(succ(n2),n3)
      & equal(succ(n3),n4)
      & equal(succ(n4),n5)
      & equal(succ(n5),n6)
      & equal(succ(n6),n7)
      & equal(succ(n7),n8)
      & equal(succ(n8),n9)
      & equal(succ(n9),n10)
      & equal(succ(n10),n11)
      & equal(succ(n11),n12)
      & equal(succ(n12),n13)
      & equal(succ(n13),n14)
      & equal(succ(n14),n15)
      & equal(succ(n15),n16)
      & equal(succ(n16),n17)
      & equal(succ(n17),n18)
      & equal(succ(n18),n19)
      & equal(succ(n19),n20)
      & equal(succ(n20),n0)
      & equal(pred(n0),n20)
      & equal(pred(n1),n0)
      & equal(pred(n2),n1)
      & equal(pred(n3),n2)
      & equal(pred(n4),n3)
      & equal(pred(n5),n4)
      & equal(pred(n6),n5)
      & equal(pred(n7),n6)
      & equal(pred(n8),n7)
      & equal(pred(n9),n8)
      & equal(pred(n10),n9)
      & equal(pred(n11),n10)
      & equal(pred(n12),n11)
      & equal(pred(n13),n12)
      & equal(pred(n14),n13)
      & equal(pred(n15),n14)
      & equal(pred(n16),n15)
      & equal(pred(n17),n16)
      & equal(pred(n18),n17)
      & equal(pred(n19),n18)
      & equal(pred(n20),n19)
      & equal(sum(n0,n0),n0)
      & equal(sum(n0,n1),n1)
      & equal(sum(n0,n2),n2)
      & equal(sum(n0,n3),n3)
      & equal(sum(n0,n4),n4)
      & equal(sum(n0,n5),n5)
      & equal(sum(n0,n6),n6)
      & equal(sum(n0,n7),n7)
      & equal(sum(n0,n8),n8)
      & equal(sum(n0,n9),n9)
      & equal(sum(n0,n10),n10)
      & equal(sum(n0,n11),n11)
      & equal(sum(n0,n12),n12)
      & equal(sum(n0,n13),n13)
      & equal(sum(n0,n14),n14)
      & equal(sum(n0,n15),n15)
      & equal(sum(n0,n16),n16)
      & equal(sum(n0,n17),n17)
      & equal(sum(n0,n18),n18)
      & equal(sum(n0,n19),n19)
      & equal(sum(n0,n20),n20)
      & equal(sum(n1,n0),n1)
      & equal(sum(n1,n1),n2)
      & equal(sum(n1,n2),n3)
      & equal(sum(n1,n3),n4)
      & equal(sum(n1,n4),n5)
      & equal(sum(n1,n5),n6)
      & equal(sum(n1,n6),n7)
      & equal(sum(n1,n7),n8)
      & equal(sum(n1,n8),n9)
      & equal(sum(n1,n9),n10)
      & equal(sum(n1,n10),n11)
      & equal(sum(n1,n11),n12)
      & equal(sum(n1,n12),n13)
      & equal(sum(n1,n13),n14)
      & equal(sum(n1,n14),n15)
      & equal(sum(n1,n15),n16)
      & equal(sum(n1,n16),n17)
      & equal(sum(n1,n17),n18)
      & equal(sum(n1,n18),n19)
      & equal(sum(n1,n19),n20)
      & equal(sum(n1,n20),n0)
      & equal(sum(n2,n0),n2)
      & equal(sum(n2,n1),n3)
      & equal(sum(n2,n2),n4)
      & equal(sum(n2,n3),n5)
      & equal(sum(n2,n4),n6)
      & equal(sum(n2,n5),n7)
      & equal(sum(n2,n6),n8)
      & equal(sum(n2,n7),n9)
      & equal(sum(n2,n8),n10)
      & equal(sum(n2,n9),n11)
      & equal(sum(n2,n10),n12)
      & equal(sum(n2,n11),n13)
      & equal(sum(n2,n12),n14)
      & equal(sum(n2,n13),n15)
      & equal(sum(n2,n14),n16)
      & equal(sum(n2,n15),n17)
      & equal(sum(n2,n16),n18)
      & equal(sum(n2,n17),n19)
      & equal(sum(n2,n18),n20)
      & equal(sum(n2,n19),n0)
      & equal(sum(n2,n20),n1)
      & equal(sum(n3,n0),n3)
      & equal(sum(n3,n1),n4)
      & equal(sum(n3,n2),n5)
      & equal(sum(n3,n3),n6)
      & equal(sum(n3,n4),n7)
      & equal(sum(n3,n5),n8)
      & equal(sum(n3,n6),n9)
      & equal(sum(n3,n7),n10)
      & equal(sum(n3,n8),n11)
      & equal(sum(n3,n9),n12)
      & equal(sum(n3,n10),n13)
      & equal(sum(n3,n11),n14)
      & equal(sum(n3,n12),n15)
      & equal(sum(n3,n13),n16)
      & equal(sum(n3,n14),n17)
      & equal(sum(n3,n15),n18)
      & equal(sum(n3,n16),n19)
      & equal(sum(n3,n17),n20)
      & equal(sum(n3,n18),n0)
      & equal(sum(n3,n19),n1)
      & equal(sum(n3,n20),n2)
      & equal(sum(n4,n0),n4)
      & equal(sum(n4,n1),n5)
      & equal(sum(n4,n2),n6)
      & equal(sum(n4,n3),n7)
      & equal(sum(n4,n4),n8)
      & equal(sum(n4,n5),n9)
      & equal(sum(n4,n6),n10)
      & equal(sum(n4,n7),n11)
      & equal(sum(n4,n8),n12)
      & equal(sum(n4,n9),n13)
      & equal(sum(n4,n10),n14)
      & equal(sum(n4,n11),n15)
      & equal(sum(n4,n12),n16)
      & equal(sum(n4,n13),n17)
      & equal(sum(n4,n14),n18)
      & equal(sum(n4,n15),n19)
      & equal(sum(n4,n16),n20)
      & equal(sum(n4,n17),n0)
      & equal(sum(n4,n18),n1)
      & equal(sum(n4,n19),n2)
      & equal(sum(n4,n20),n3)
      & equal(sum(n5,n0),n5)
      & equal(sum(n5,n1),n6)
      & equal(sum(n5,n2),n7)
      & equal(sum(n5,n3),n8)
      & equal(sum(n5,n4),n9)
      & equal(sum(n5,n5),n10)
      & equal(sum(n5,n6),n11)
      & equal(sum(n5,n7),n12)
      & equal(sum(n5,n8),n13)
      & equal(sum(n5,n9),n14)
      & equal(sum(n5,n10),n15)
      & equal(sum(n5,n11),n16)
      & equal(sum(n5,n12),n17)
      & equal(sum(n5,n13),n18)
      & equal(sum(n5,n14),n19)
      & equal(sum(n5,n15),n20)
      & equal(sum(n5,n16),n0)
      & equal(sum(n5,n17),n1)
      & equal(sum(n5,n18),n2)
      & equal(sum(n5,n19),n3)
      & equal(sum(n5,n20),n4)
      & equal(sum(n6,n0),n6)
      & equal(sum(n6,n1),n7)
      & equal(sum(n6,n2),n8)
      & equal(sum(n6,n3),n9)
      & equal(sum(n6,n4),n10)
      & equal(sum(n6,n5),n11)
      & equal(sum(n6,n6),n12)
      & equal(sum(n6,n7),n13)
      & equal(sum(n6,n8),n14)
      & equal(sum(n6,n9),n15)
      & equal(sum(n6,n10),n16)
      & equal(sum(n6,n11),n17)
      & equal(sum(n6,n12),n18)
      & equal(sum(n6,n13),n19)
      & equal(sum(n6,n14),n20)
      & equal(sum(n6,n15),n0)
      & equal(sum(n6,n16),n1)
      & equal(sum(n6,n17),n2)
      & equal(sum(n6,n18),n3)
      & equal(sum(n6,n19),n4)
      & equal(sum(n6,n20),n5)
      & equal(sum(n7,n0),n7)
      & equal(sum(n7,n1),n8)
      & equal(sum(n7,n2),n9)
      & equal(sum(n7,n3),n10)
      & equal(sum(n7,n4),n11)
      & equal(sum(n7,n5),n12)
      & equal(sum(n7,n6),n13)
      & equal(sum(n7,n7),n14)
      & equal(sum(n7,n8),n15)
      & equal(sum(n7,n9),n16)
      & equal(sum(n7,n10),n17)
      & equal(sum(n7,n11),n18)
      & equal(sum(n7,n12),n19)
      & equal(sum(n7,n13),n20)
      & equal(sum(n7,n14),n0)
      & equal(sum(n7,n15),n1)
      & equal(sum(n7,n16),n2)
      & equal(sum(n7,n17),n3)
      & equal(sum(n7,n18),n4)
      & equal(sum(n7,n19),n5)
      & equal(sum(n7,n20),n6)
      & equal(sum(n8,n0),n8)
      & equal(sum(n8,n1),n9)
      & equal(sum(n8,n2),n10)
      & equal(sum(n8,n3),n11)
      & equal(sum(n8,n4),n12)
      & equal(sum(n8,n5),n13)
      & equal(sum(n8,n6),n14)
      & equal(sum(n8,n7),n15)
      & equal(sum(n8,n8),n16)
      & equal(sum(n8,n9),n17)
      & equal(sum(n8,n10),n18)
      & equal(sum(n8,n11),n19)
      & equal(sum(n8,n12),n20)
      & equal(sum(n8,n13),n0)
      & equal(sum(n8,n14),n1)
      & equal(sum(n8,n15),n2)
      & equal(sum(n8,n16),n3)
      & equal(sum(n8,n17),n4)
      & equal(sum(n8,n18),n5)
      & equal(sum(n8,n19),n6)
      & equal(sum(n8,n20),n7)
      & equal(sum(n9,n0),n9)
      & equal(sum(n9,n1),n10)
      & equal(sum(n9,n2),n11)
      & equal(sum(n9,n3),n12)
      & equal(sum(n9,n4),n13)
      & equal(sum(n9,n5),n14)
      & equal(sum(n9,n6),n15)
      & equal(sum(n9,n7),n16)
      & equal(sum(n9,n8),n17)
      & equal(sum(n9,n9),n18)
      & equal(sum(n9,n10),n19)
      & equal(sum(n9,n11),n20)
      & equal(sum(n9,n12),n0)
      & equal(sum(n9,n13),n1)
      & equal(sum(n9,n14),n2)
      & equal(sum(n9,n15),n3)
      & equal(sum(n9,n16),n4)
      & equal(sum(n9,n17),n5)
      & equal(sum(n9,n18),n6)
      & equal(sum(n9,n19),n7)
      & equal(sum(n9,n20),n8)
      & equal(sum(n10,n0),n10)
      & equal(sum(n10,n1),n11)
      & equal(sum(n10,n2),n12)
      & equal(sum(n10,n3),n13)
      & equal(sum(n10,n4),n14)
      & equal(sum(n10,n5),n15)
      & equal(sum(n10,n6),n16)
      & equal(sum(n10,n7),n17)
      & equal(sum(n10,n8),n18)
      & equal(sum(n10,n9),n19)
      & equal(sum(n10,n10),n20)
      & equal(sum(n10,n11),n0)
      & equal(sum(n10,n12),n1)
      & equal(sum(n10,n13),n2)
      & equal(sum(n10,n14),n3)
      & equal(sum(n10,n15),n4)
      & equal(sum(n10,n16),n5)
      & equal(sum(n10,n17),n6)
      & equal(sum(n10,n18),n7)
      & equal(sum(n10,n19),n8)
      & equal(sum(n10,n20),n9)
      & equal(sum(n11,n0),n11)
      & equal(sum(n11,n1),n12)
      & equal(sum(n11,n2),n13)
      & equal(sum(n11,n3),n14)
      & equal(sum(n11,n4),n15)
      & equal(sum(n11,n5),n16)
      & equal(sum(n11,n6),n17)
      & equal(sum(n11,n7),n18)
      & equal(sum(n11,n8),n19)
      & equal(sum(n11,n9),n20)
      & equal(sum(n11,n10),n0)
      & equal(sum(n11,n11),n1)
      & equal(sum(n11,n12),n2)
      & equal(sum(n11,n13),n3)
      & equal(sum(n11,n14),n4)
      & equal(sum(n11,n15),n5)
      & equal(sum(n11,n16),n6)
      & equal(sum(n11,n17),n7)
      & equal(sum(n11,n18),n8)
      & equal(sum(n11,n19),n9)
      & equal(sum(n11,n20),n10)
      & equal(sum(n12,n0),n12)
      & equal(sum(n12,n1),n13)
      & equal(sum(n12,n2),n14)
      & equal(sum(n12,n3),n15)
      & equal(sum(n12,n4),n16)
      & equal(sum(n12,n5),n17)
      & equal(sum(n12,n6),n18)
      & equal(sum(n12,n7),n19)
      & equal(sum(n12,n8),n20)
      & equal(sum(n12,n9),n0)
      & equal(sum(n12,n10),n1)
      & equal(sum(n12,n11),n2)
      & equal(sum(n12,n12),n3)
      & equal(sum(n12,n13),n4)
      & equal(sum(n12,n14),n5)
      & equal(sum(n12,n15),n6)
      & equal(sum(n12,n16),n7)
      & equal(sum(n12,n17),n8)
      & equal(sum(n12,n18),n9)
      & equal(sum(n12,n19),n10)
      & equal(sum(n12,n20),n11)
      & equal(sum(n13,n0),n13)
      & equal(sum(n13,n1),n14)
      & equal(sum(n13,n2),n15)
      & equal(sum(n13,n3),n16)
      & equal(sum(n13,n4),n17)
      & equal(sum(n13,n5),n18)
      & equal(sum(n13,n6),n19)
      & equal(sum(n13,n7),n20)
      & equal(sum(n13,n8),n0)
      & equal(sum(n13,n9),n1)
      & equal(sum(n13,n10),n2)
      & equal(sum(n13,n11),n3)
      & equal(sum(n13,n12),n4)
      & equal(sum(n13,n13),n5)
      & equal(sum(n13,n14),n6)
      & equal(sum(n13,n15),n7)
      & equal(sum(n13,n16),n8)
      & equal(sum(n13,n17),n9)
      & equal(sum(n13,n18),n10)
      & equal(sum(n13,n19),n11)
      & equal(sum(n13,n20),n12)
      & equal(sum(n14,n0),n14)
      & equal(sum(n14,n1),n15)
      & equal(sum(n14,n2),n16)
      & equal(sum(n14,n3),n17)
      & equal(sum(n14,n4),n18)
      & equal(sum(n14,n5),n19)
      & equal(sum(n14,n6),n20)
      & equal(sum(n14,n7),n0)
      & equal(sum(n14,n8),n1)
      & equal(sum(n14,n9),n2)
      & equal(sum(n14,n10),n3)
      & equal(sum(n14,n11),n4)
      & equal(sum(n14,n12),n5)
      & equal(sum(n14,n13),n6)
      & equal(sum(n14,n14),n7)
      & equal(sum(n14,n15),n8)
      & equal(sum(n14,n16),n9)
      & equal(sum(n14,n17),n10)
      & equal(sum(n14,n18),n11)
      & equal(sum(n14,n19),n12)
      & equal(sum(n14,n20),n13)
      & equal(sum(n15,n0),n15)
      & equal(sum(n15,n1),n16)
      & equal(sum(n15,n2),n17)
      & equal(sum(n15,n3),n18)
      & equal(sum(n15,n4),n19)
      & equal(sum(n15,n5),n20)
      & equal(sum(n15,n6),n0)
      & equal(sum(n15,n7),n1)
      & equal(sum(n15,n8),n2)
      & equal(sum(n15,n9),n3)
      & equal(sum(n15,n10),n4)
      & equal(sum(n15,n11),n5)
      & equal(sum(n15,n12),n6)
      & equal(sum(n15,n13),n7)
      & equal(sum(n15,n14),n8)
      & equal(sum(n15,n15),n9)
      & equal(sum(n15,n16),n10)
      & equal(sum(n15,n17),n11)
      & equal(sum(n15,n18),n12)
      & equal(sum(n15,n19),n13)
      & equal(sum(n15,n20),n14)
      & equal(sum(n16,n0),n16)
      & equal(sum(n16,n1),n17)
      & equal(sum(n16,n2),n18)
      & equal(sum(n16,n3),n19)
      & equal(sum(n16,n4),n20)
      & equal(sum(n16,n5),n0)
      & equal(sum(n16,n6),n1)
      & equal(sum(n16,n7),n2)
      & equal(sum(n16,n8),n3)
      & equal(sum(n16,n9),n4)
      & equal(sum(n16,n10),n5)
      & equal(sum(n16,n11),n6)
      & equal(sum(n16,n12),n7)
      & equal(sum(n16,n13),n8)
      & equal(sum(n16,n14),n9)
      & equal(sum(n16,n15),n10)
      & equal(sum(n16,n16),n11)
      & equal(sum(n16,n17),n12)
      & equal(sum(n16,n18),n13)
      & equal(sum(n16,n19),n14)
      & equal(sum(n16,n20),n15)
      & equal(sum(n17,n0),n17)
      & equal(sum(n17,n1),n18)
      & equal(sum(n17,n2),n19)
      & equal(sum(n17,n3),n20)
      & equal(sum(n17,n4),n0)
      & equal(sum(n17,n5),n1)
      & equal(sum(n17,n6),n2)
      & equal(sum(n17,n7),n3)
      & equal(sum(n17,n8),n4)
      & equal(sum(n17,n9),n5)
      & equal(sum(n17,n10),n6)
      & equal(sum(n17,n11),n7)
      & equal(sum(n17,n12),n8)
      & equal(sum(n17,n13),n9)
      & equal(sum(n17,n14),n10)
      & equal(sum(n17,n15),n11)
      & equal(sum(n17,n16),n12)
      & equal(sum(n17,n17),n13)
      & equal(sum(n17,n18),n14)
      & equal(sum(n17,n19),n15)
      & equal(sum(n17,n20),n16)
      & equal(sum(n18,n0),n18)
      & equal(sum(n18,n1),n19)
      & equal(sum(n18,n2),n20)
      & equal(sum(n18,n3),n0)
      & equal(sum(n18,n4),n1)
      & equal(sum(n18,n5),n2)
      & equal(sum(n18,n6),n3)
      & equal(sum(n18,n7),n4)
      & equal(sum(n18,n8),n5)
      & equal(sum(n18,n9),n6)
      & equal(sum(n18,n10),n7)
      & equal(sum(n18,n11),n8)
      & equal(sum(n18,n12),n9)
      & equal(sum(n18,n13),n10)
      & equal(sum(n18,n14),n11)
      & equal(sum(n18,n15),n12)
      & equal(sum(n18,n16),n13)
      & equal(sum(n18,n17),n14)
      & equal(sum(n18,n18),n15)
      & equal(sum(n18,n19),n16)
      & equal(sum(n18,n20),n17)
      & equal(sum(n19,n0),n19)
      & equal(sum(n19,n1),n20)
      & equal(sum(n19,n2),n0)
      & equal(sum(n19,n3),n1)
      & equal(sum(n19,n4),n2)
      & equal(sum(n19,n5),n3)
      & equal(sum(n19,n6),n4)
      & equal(sum(n19,n7),n5)
      & equal(sum(n19,n8),n6)
      & equal(sum(n19,n9),n7)
      & equal(sum(n19,n10),n8)
      & equal(sum(n19,n11),n9)
      & equal(sum(n19,n12),n10)
      & equal(sum(n19,n13),n11)
      & equal(sum(n19,n14),n12)
      & equal(sum(n19,n15),n13)
      & equal(sum(n19,n16),n14)
      & equal(sum(n19,n17),n15)
      & equal(sum(n19,n18),n16)
      & equal(sum(n19,n19),n17)
      & equal(sum(n19,n20),n18)
      & equal(sum(n20,n0),n20)
      & equal(sum(n20,n1),n0)
      & equal(sum(n20,n2),n1)
      & equal(sum(n20,n3),n2)
      & equal(sum(n20,n4),n3)
      & equal(sum(n20,n5),n4)
      & equal(sum(n20,n6),n5)
      & equal(sum(n20,n7),n6)
      & equal(sum(n20,n8),n7)
      & equal(sum(n20,n9),n8)
      & equal(sum(n20,n10),n9)
      & equal(sum(n20,n11),n10)
      & equal(sum(n20,n12),n11)
      & equal(sum(n20,n13),n12)
      & equal(sum(n20,n14),n13)
      & equal(sum(n20,n15),n14)
      & equal(sum(n20,n16),n15)
      & equal(sum(n20,n17),n16)
      & equal(sum(n20,n18),n17)
      & equal(sum(n20,n19),n18)
      & equal(sum(n20,n20),n19)
      & ( equal(X3,n0)
        | equal(X3,n1)
        | equal(X3,n2)
        | equal(X3,n3)
        | equal(X3,n4)
        | equal(X3,n5)
        | equal(X3,n6)
        | equal(X3,n7)
        | equal(X3,n8)
        | equal(X3,n9)
        | equal(X3,n10)
        | equal(X3,n11)
        | equal(X3,n12)
        | equal(X3,n13)
        | equal(X3,n14)
        | equal(X3,n15)
        | equal(X3,n16)
        | equal(X3,n17)
        | equal(X3,n18)
        | equal(X3,n19)
        | equal(X3,n20) )
      & ( equal(X4,n0)
        | equal(X4,n1)
        | equal(X4,n2)
        | equal(X4,n3)
        | equal(X4,n4)
        | equal(X4,n5)
        | equal(X4,n6)
        | equal(X4,n7)
        | equal(X4,n8)
        | equal(X4,n9)
        | equal(X4,n10)
        | equal(X4,n11)
        | equal(X4,n12)
        | equal(X4,n13)
        | equal(X4,n14)
        | equal(X4,n15)
        | equal(X4,n16)
        | equal(X4,n17)
        | equal(X4,n18)
        | equal(X4,n19)
        | equal(X4,n20) )
      & ~ equal(sum(sum(pred(X3),succ(X4)),sum(pred(X4),succ(X3))),sum(sum(pred(X3),succ(X3)),sum(pred(X4),succ(X4))))
      & ~ equal(n0,n1)
      & ~ equal(n0,n2)
      & ~ equal(n0,n3)
      & ~ equal(n0,n4)
      & ~ equal(n0,n5)
      & ~ equal(n0,n6)
      & ~ equal(n0,n7)
      & ~ equal(n0,n8)
      & ~ equal(n0,n9)
      & ~ equal(n0,n10)
      & ~ equal(n0,n11)
      & ~ equal(n0,n12)
      & ~ equal(n0,n13)
      & ~ equal(n0,n14)
      & ~ equal(n0,n15)
      & ~ equal(n0,n16)
      & ~ equal(n0,n17)
      & ~ equal(n0,n18)
      & ~ equal(n0,n19)
      & ~ equal(n0,n20)
      & ~ equal(n1,n2)
      & ~ equal(n1,n3)
      & ~ equal(n1,n4)
      & ~ equal(n1,n5)
      & ~ equal(n1,n6)
      & ~ equal(n1,n7)
      & ~ equal(n1,n8)
      & ~ equal(n1,n9)
      & ~ equal(n1,n10)
      & ~ equal(n1,n11)
      & ~ equal(n1,n12)
      & ~ equal(n1,n13)
      & ~ equal(n1,n14)
      & ~ equal(n1,n15)
      & ~ equal(n1,n16)
      & ~ equal(n1,n17)
      & ~ equal(n1,n18)
      & ~ equal(n1,n19)
      & ~ equal(n1,n20)
      & ~ equal(n2,n3)
      & ~ equal(n2,n4)
      & ~ equal(n2,n5)
      & ~ equal(n2,n6)
      & ~ equal(n2,n7)
      & ~ equal(n2,n8)
      & ~ equal(n2,n9)
      & ~ equal(n2,n10)
      & ~ equal(n2,n11)
      & ~ equal(n2,n12)
      & ~ equal(n2,n13)
      & ~ equal(n2,n14)
      & ~ equal(n2,n15)
      & ~ equal(n2,n16)
      & ~ equal(n2,n17)
      & ~ equal(n2,n18)
      & ~ equal(n2,n19)
      & ~ equal(n2,n20)
      & ~ equal(n3,n4)
      & ~ equal(n3,n5)
      & ~ equal(n3,n6)
      & ~ equal(n3,n7)
      & ~ equal(n3,n8)
      & ~ equal(n3,n9)
      & ~ equal(n3,n10)
      & ~ equal(n3,n11)
      & ~ equal(n3,n12)
      & ~ equal(n3,n13)
      & ~ equal(n3,n14)
      & ~ equal(n3,n15)
      & ~ equal(n3,n16)
      & ~ equal(n3,n17)
      & ~ equal(n3,n18)
      & ~ equal(n3,n19)
      & ~ equal(n3,n20)
      & ~ equal(n4,n5)
      & ~ equal(n4,n6)
      & ~ equal(n4,n7)
      & ~ equal(n4,n8)
      & ~ equal(n4,n9)
      & ~ equal(n4,n10)
      & ~ equal(n4,n11)
      & ~ equal(n4,n12)
      & ~ equal(n4,n13)
      & ~ equal(n4,n14)
      & ~ equal(n4,n15)
      & ~ equal(n4,n16)
      & ~ equal(n4,n17)
      & ~ equal(n4,n18)
      & ~ equal(n4,n19)
      & ~ equal(n4,n20)
      & ~ equal(n5,n6)
      & ~ equal(n5,n7)
      & ~ equal(n5,n8)
      & ~ equal(n5,n9)
      & ~ equal(n5,n10)
      & ~ equal(n5,n11)
      & ~ equal(n5,n12)
      & ~ equal(n5,n13)
      & ~ equal(n5,n14)
      & ~ equal(n5,n15)
      & ~ equal(n5,n16)
      & ~ equal(n5,n17)
      & ~ equal(n5,n18)
      & ~ equal(n5,n19)
      & ~ equal(n5,n20)
      & ~ equal(n6,n7)
      & ~ equal(n6,n8)
      & ~ equal(n6,n9)
      & ~ equal(n6,n10)
      & ~ equal(n6,n11)
      & ~ equal(n6,n12)
      & ~ equal(n6,n13)
      & ~ equal(n6,n14)
      & ~ equal(n6,n15)
      & ~ equal(n6,n16)
      & ~ equal(n6,n17)
      & ~ equal(n6,n18)
      & ~ equal(n6,n19)
      & ~ equal(n6,n20)
      & ~ equal(n7,n8)
      & ~ equal(n7,n9)
      & ~ equal(n7,n10)
      & ~ equal(n7,n11)
      & ~ equal(n7,n12)
      & ~ equal(n7,n13)
      & ~ equal(n7,n14)
      & ~ equal(n7,n15)
      & ~ equal(n7,n16)
      & ~ equal(n7,n17)
      & ~ equal(n7,n18)
      & ~ equal(n7,n19)
      & ~ equal(n7,n20)
      & ~ equal(n8,n9)
      & ~ equal(n8,n10)
      & ~ equal(n8,n11)
      & ~ equal(n8,n12)
      & ~ equal(n8,n13)
      & ~ equal(n8,n14)
      & ~ equal(n8,n15)
      & ~ equal(n8,n16)
      & ~ equal(n8,n17)
      & ~ equal(n8,n18)
      & ~ equal(n8,n19)
      & ~ equal(n8,n20)
      & ~ equal(n9,n10)
      & ~ equal(n9,n11)
      & ~ equal(n9,n12)
      & ~ equal(n9,n13)
      & ~ equal(n9,n14)
      & ~ equal(n9,n15)
      & ~ equal(n9,n16)
      & ~ equal(n9,n17)
      & ~ equal(n9,n18)
      & ~ equal(n9,n19)
      & ~ equal(n9,n20)
      & ~ equal(n10,n11)
      & ~ equal(n10,n12)
      & ~ equal(n10,n13)
      & ~ equal(n10,n14)
      & ~ equal(n10,n15)
      & ~ equal(n10,n16)
      & ~ equal(n10,n17)
      & ~ equal(n10,n18)
      & ~ equal(n10,n19)
      & ~ equal(n10,n20)
      & ~ equal(n11,n12)
      & ~ equal(n11,n13)
      & ~ equal(n11,n14)
      & ~ equal(n11,n15)
      & ~ equal(n11,n16)
      & ~ equal(n11,n17)
      & ~ equal(n11,n18)
      & ~ equal(n11,n19)
      & ~ equal(n11,n20)
      & ~ equal(n12,n13)
      & ~ equal(n12,n14)
      & ~ equal(n12,n15)
      & ~ equal(n12,n16)
      & ~ equal(n12,n17)
      & ~ equal(n12,n18)
      & ~ equal(n12,n19)
      & ~ equal(n12,n20)
      & ~ equal(n13,n14)
      & ~ equal(n13,n15)
      & ~ equal(n13,n16)
      & ~ equal(n13,n17)
      & ~ equal(n13,n18)
      & ~ equal(n13,n19)
      & ~ equal(n13,n20)
      & ~ equal(n14,n15)
      & ~ equal(n14,n16)
      & ~ equal(n14,n17)
      & ~ equal(n14,n18)
      & ~ equal(n14,n19)
      & ~ equal(n14,n20)
      & ~ equal(n15,n16)
      & ~ equal(n15,n17)
      & ~ equal(n15,n18)
      & ~ equal(n15,n19)
      & ~ equal(n15,n20)
      & ~ equal(n16,n17)
      & ~ equal(n16,n18)
      & ~ equal(n16,n19)
      & ~ equal(n16,n20)
      & ~ equal(n17,n18)
      & ~ equal(n17,n19)
      & ~ equal(n17,n20)
      & ~ equal(n18,n19)
      & ~ equal(n18,n20)
      & ~ equal(n19,n20) ),
    inference(variable_rename,[status(thm)],[1]) ).

fof(3,plain,
    ( equal(succ(n0),n1)
    & equal(succ(n1),n2)
    & equal(succ(n2),n3)
    & equal(succ(n3),n4)
    & equal(succ(n4),n5)
    & equal(succ(n5),n6)
    & equal(succ(n6),n7)
    & equal(succ(n7),n8)
    & equal(succ(n8),n9)
    & equal(succ(n9),n10)
    & equal(succ(n10),n11)
    & equal(succ(n11),n12)
    & equal(succ(n12),n13)
    & equal(succ(n13),n14)
    & equal(succ(n14),n15)
    & equal(succ(n15),n16)
    & equal(succ(n16),n17)
    & equal(succ(n17),n18)
    & equal(succ(n18),n19)
    & equal(succ(n19),n20)
    & equal(succ(n20),n0)
    & equal(pred(n0),n20)
    & equal(pred(n1),n0)
    & equal(pred(n2),n1)
    & equal(pred(n3),n2)
    & equal(pred(n4),n3)
    & equal(pred(n5),n4)
    & equal(pred(n6),n5)
    & equal(pred(n7),n6)
    & equal(pred(n8),n7)
    & equal(pred(n9),n8)
    & equal(pred(n10),n9)
    & equal(pred(n11),n10)
    & equal(pred(n12),n11)
    & equal(pred(n13),n12)
    & equal(pred(n14),n13)
    & equal(pred(n15),n14)
    & equal(pred(n16),n15)
    & equal(pred(n17),n16)
    & equal(pred(n18),n17)
    & equal(pred(n19),n18)
    & equal(pred(n20),n19)
    & equal(sum(n0,n0),n0)
    & equal(sum(n0,n1),n1)
    & equal(sum(n0,n2),n2)
    & equal(sum(n0,n3),n3)
    & equal(sum(n0,n4),n4)
    & equal(sum(n0,n5),n5)
    & equal(sum(n0,n6),n6)
    & equal(sum(n0,n7),n7)
    & equal(sum(n0,n8),n8)
    & equal(sum(n0,n9),n9)
    & equal(sum(n0,n10),n10)
    & equal(sum(n0,n11),n11)
    & equal(sum(n0,n12),n12)
    & equal(sum(n0,n13),n13)
    & equal(sum(n0,n14),n14)
    & equal(sum(n0,n15),n15)
    & equal(sum(n0,n16),n16)
    & equal(sum(n0,n17),n17)
    & equal(sum(n0,n18),n18)
    & equal(sum(n0,n19),n19)
    & equal(sum(n0,n20),n20)
    & equal(sum(n1,n0),n1)
    & equal(sum(n1,n1),n2)
    & equal(sum(n1,n2),n3)
    & equal(sum(n1,n3),n4)
    & equal(sum(n1,n4),n5)
    & equal(sum(n1,n5),n6)
    & equal(sum(n1,n6),n7)
    & equal(sum(n1,n7),n8)
    & equal(sum(n1,n8),n9)
    & equal(sum(n1,n9),n10)
    & equal(sum(n1,n10),n11)
    & equal(sum(n1,n11),n12)
    & equal(sum(n1,n12),n13)
    & equal(sum(n1,n13),n14)
    & equal(sum(n1,n14),n15)
    & equal(sum(n1,n15),n16)
    & equal(sum(n1,n16),n17)
    & equal(sum(n1,n17),n18)
    & equal(sum(n1,n18),n19)
    & equal(sum(n1,n19),n20)
    & equal(sum(n1,n20),n0)
    & equal(sum(n2,n0),n2)
    & equal(sum(n2,n1),n3)
    & equal(sum(n2,n2),n4)
    & equal(sum(n2,n3),n5)
    & equal(sum(n2,n4),n6)
    & equal(sum(n2,n5),n7)
    & equal(sum(n2,n6),n8)
    & equal(sum(n2,n7),n9)
    & equal(sum(n2,n8),n10)
    & equal(sum(n2,n9),n11)
    & equal(sum(n2,n10),n12)
    & equal(sum(n2,n11),n13)
    & equal(sum(n2,n12),n14)
    & equal(sum(n2,n13),n15)
    & equal(sum(n2,n14),n16)
    & equal(sum(n2,n15),n17)
    & equal(sum(n2,n16),n18)
    & equal(sum(n2,n17),n19)
    & equal(sum(n2,n18),n20)
    & equal(sum(n2,n19),n0)
    & equal(sum(n2,n20),n1)
    & equal(sum(n3,n0),n3)
    & equal(sum(n3,n1),n4)
    & equal(sum(n3,n2),n5)
    & equal(sum(n3,n3),n6)
    & equal(sum(n3,n4),n7)
    & equal(sum(n3,n5),n8)
    & equal(sum(n3,n6),n9)
    & equal(sum(n3,n7),n10)
    & equal(sum(n3,n8),n11)
    & equal(sum(n3,n9),n12)
    & equal(sum(n3,n10),n13)
    & equal(sum(n3,n11),n14)
    & equal(sum(n3,n12),n15)
    & equal(sum(n3,n13),n16)
    & equal(sum(n3,n14),n17)
    & equal(sum(n3,n15),n18)
    & equal(sum(n3,n16),n19)
    & equal(sum(n3,n17),n20)
    & equal(sum(n3,n18),n0)
    & equal(sum(n3,n19),n1)
    & equal(sum(n3,n20),n2)
    & equal(sum(n4,n0),n4)
    & equal(sum(n4,n1),n5)
    & equal(sum(n4,n2),n6)
    & equal(sum(n4,n3),n7)
    & equal(sum(n4,n4),n8)
    & equal(sum(n4,n5),n9)
    & equal(sum(n4,n6),n10)
    & equal(sum(n4,n7),n11)
    & equal(sum(n4,n8),n12)
    & equal(sum(n4,n9),n13)
    & equal(sum(n4,n10),n14)
    & equal(sum(n4,n11),n15)
    & equal(sum(n4,n12),n16)
    & equal(sum(n4,n13),n17)
    & equal(sum(n4,n14),n18)
    & equal(sum(n4,n15),n19)
    & equal(sum(n4,n16),n20)
    & equal(sum(n4,n17),n0)
    & equal(sum(n4,n18),n1)
    & equal(sum(n4,n19),n2)
    & equal(sum(n4,n20),n3)
    & equal(sum(n5,n0),n5)
    & equal(sum(n5,n1),n6)
    & equal(sum(n5,n2),n7)
    & equal(sum(n5,n3),n8)
    & equal(sum(n5,n4),n9)
    & equal(sum(n5,n5),n10)
    & equal(sum(n5,n6),n11)
    & equal(sum(n5,n7),n12)
    & equal(sum(n5,n8),n13)
    & equal(sum(n5,n9),n14)
    & equal(sum(n5,n10),n15)
    & equal(sum(n5,n11),n16)
    & equal(sum(n5,n12),n17)
    & equal(sum(n5,n13),n18)
    & equal(sum(n5,n14),n19)
    & equal(sum(n5,n15),n20)
    & equal(sum(n5,n16),n0)
    & equal(sum(n5,n17),n1)
    & equal(sum(n5,n18),n2)
    & equal(sum(n5,n19),n3)
    & equal(sum(n5,n20),n4)
    & equal(sum(n6,n0),n6)
    & equal(sum(n6,n1),n7)
    & equal(sum(n6,n2),n8)
    & equal(sum(n6,n3),n9)
    & equal(sum(n6,n4),n10)
    & equal(sum(n6,n5),n11)
    & equal(sum(n6,n6),n12)
    & equal(sum(n6,n7),n13)
    & equal(sum(n6,n8),n14)
    & equal(sum(n6,n9),n15)
    & equal(sum(n6,n10),n16)
    & equal(sum(n6,n11),n17)
    & equal(sum(n6,n12),n18)
    & equal(sum(n6,n13),n19)
    & equal(sum(n6,n14),n20)
    & equal(sum(n6,n15),n0)
    & equal(sum(n6,n16),n1)
    & equal(sum(n6,n17),n2)
    & equal(sum(n6,n18),n3)
    & equal(sum(n6,n19),n4)
    & equal(sum(n6,n20),n5)
    & equal(sum(n7,n0),n7)
    & equal(sum(n7,n1),n8)
    & equal(sum(n7,n2),n9)
    & equal(sum(n7,n3),n10)
    & equal(sum(n7,n4),n11)
    & equal(sum(n7,n5),n12)
    & equal(sum(n7,n6),n13)
    & equal(sum(n7,n7),n14)
    & equal(sum(n7,n8),n15)
    & equal(sum(n7,n9),n16)
    & equal(sum(n7,n10),n17)
    & equal(sum(n7,n11),n18)
    & equal(sum(n7,n12),n19)
    & equal(sum(n7,n13),n20)
    & equal(sum(n7,n14),n0)
    & equal(sum(n7,n15),n1)
    & equal(sum(n7,n16),n2)
    & equal(sum(n7,n17),n3)
    & equal(sum(n7,n18),n4)
    & equal(sum(n7,n19),n5)
    & equal(sum(n7,n20),n6)
    & equal(sum(n8,n0),n8)
    & equal(sum(n8,n1),n9)
    & equal(sum(n8,n2),n10)
    & equal(sum(n8,n3),n11)
    & equal(sum(n8,n4),n12)
    & equal(sum(n8,n5),n13)
    & equal(sum(n8,n6),n14)
    & equal(sum(n8,n7),n15)
    & equal(sum(n8,n8),n16)
    & equal(sum(n8,n9),n17)
    & equal(sum(n8,n10),n18)
    & equal(sum(n8,n11),n19)
    & equal(sum(n8,n12),n20)
    & equal(sum(n8,n13),n0)
    & equal(sum(n8,n14),n1)
    & equal(sum(n8,n15),n2)
    & equal(sum(n8,n16),n3)
    & equal(sum(n8,n17),n4)
    & equal(sum(n8,n18),n5)
    & equal(sum(n8,n19),n6)
    & equal(sum(n8,n20),n7)
    & equal(sum(n9,n0),n9)
    & equal(sum(n9,n1),n10)
    & equal(sum(n9,n2),n11)
    & equal(sum(n9,n3),n12)
    & equal(sum(n9,n4),n13)
    & equal(sum(n9,n5),n14)
    & equal(sum(n9,n6),n15)
    & equal(sum(n9,n7),n16)
    & equal(sum(n9,n8),n17)
    & equal(sum(n9,n9),n18)
    & equal(sum(n9,n10),n19)
    & equal(sum(n9,n11),n20)
    & equal(sum(n9,n12),n0)
    & equal(sum(n9,n13),n1)
    & equal(sum(n9,n14),n2)
    & equal(sum(n9,n15),n3)
    & equal(sum(n9,n16),n4)
    & equal(sum(n9,n17),n5)
    & equal(sum(n9,n18),n6)
    & equal(sum(n9,n19),n7)
    & equal(sum(n9,n20),n8)
    & equal(sum(n10,n0),n10)
    & equal(sum(n10,n1),n11)
    & equal(sum(n10,n2),n12)
    & equal(sum(n10,n3),n13)
    & equal(sum(n10,n4),n14)
    & equal(sum(n10,n5),n15)
    & equal(sum(n10,n6),n16)
    & equal(sum(n10,n7),n17)
    & equal(sum(n10,n8),n18)
    & equal(sum(n10,n9),n19)
    & equal(sum(n10,n10),n20)
    & equal(sum(n10,n11),n0)
    & equal(sum(n10,n12),n1)
    & equal(sum(n10,n13),n2)
    & equal(sum(n10,n14),n3)
    & equal(sum(n10,n15),n4)
    & equal(sum(n10,n16),n5)
    & equal(sum(n10,n17),n6)
    & equal(sum(n10,n18),n7)
    & equal(sum(n10,n19),n8)
    & equal(sum(n10,n20),n9)
    & equal(sum(n11,n0),n11)
    & equal(sum(n11,n1),n12)
    & equal(sum(n11,n2),n13)
    & equal(sum(n11,n3),n14)
    & equal(sum(n11,n4),n15)
    & equal(sum(n11,n5),n16)
    & equal(sum(n11,n6),n17)
    & equal(sum(n11,n7),n18)
    & equal(sum(n11,n8),n19)
    & equal(sum(n11,n9),n20)
    & equal(sum(n11,n10),n0)
    & equal(sum(n11,n11),n1)
    & equal(sum(n11,n12),n2)
    & equal(sum(n11,n13),n3)
    & equal(sum(n11,n14),n4)
    & equal(sum(n11,n15),n5)
    & equal(sum(n11,n16),n6)
    & equal(sum(n11,n17),n7)
    & equal(sum(n11,n18),n8)
    & equal(sum(n11,n19),n9)
    & equal(sum(n11,n20),n10)
    & equal(sum(n12,n0),n12)
    & equal(sum(n12,n1),n13)
    & equal(sum(n12,n2),n14)
    & equal(sum(n12,n3),n15)
    & equal(sum(n12,n4),n16)
    & equal(sum(n12,n5),n17)
    & equal(sum(n12,n6),n18)
    & equal(sum(n12,n7),n19)
    & equal(sum(n12,n8),n20)
    & equal(sum(n12,n9),n0)
    & equal(sum(n12,n10),n1)
    & equal(sum(n12,n11),n2)
    & equal(sum(n12,n12),n3)
    & equal(sum(n12,n13),n4)
    & equal(sum(n12,n14),n5)
    & equal(sum(n12,n15),n6)
    & equal(sum(n12,n16),n7)
    & equal(sum(n12,n17),n8)
    & equal(sum(n12,n18),n9)
    & equal(sum(n12,n19),n10)
    & equal(sum(n12,n20),n11)
    & equal(sum(n13,n0),n13)
    & equal(sum(n13,n1),n14)
    & equal(sum(n13,n2),n15)
    & equal(sum(n13,n3),n16)
    & equal(sum(n13,n4),n17)
    & equal(sum(n13,n5),n18)
    & equal(sum(n13,n6),n19)
    & equal(sum(n13,n7),n20)
    & equal(sum(n13,n8),n0)
    & equal(sum(n13,n9),n1)
    & equal(sum(n13,n10),n2)
    & equal(sum(n13,n11),n3)
    & equal(sum(n13,n12),n4)
    & equal(sum(n13,n13),n5)
    & equal(sum(n13,n14),n6)
    & equal(sum(n13,n15),n7)
    & equal(sum(n13,n16),n8)
    & equal(sum(n13,n17),n9)
    & equal(sum(n13,n18),n10)
    & equal(sum(n13,n19),n11)
    & equal(sum(n13,n20),n12)
    & equal(sum(n14,n0),n14)
    & equal(sum(n14,n1),n15)
    & equal(sum(n14,n2),n16)
    & equal(sum(n14,n3),n17)
    & equal(sum(n14,n4),n18)
    & equal(sum(n14,n5),n19)
    & equal(sum(n14,n6),n20)
    & equal(sum(n14,n7),n0)
    & equal(sum(n14,n8),n1)
    & equal(sum(n14,n9),n2)
    & equal(sum(n14,n10),n3)
    & equal(sum(n14,n11),n4)
    & equal(sum(n14,n12),n5)
    & equal(sum(n14,n13),n6)
    & equal(sum(n14,n14),n7)
    & equal(sum(n14,n15),n8)
    & equal(sum(n14,n16),n9)
    & equal(sum(n14,n17),n10)
    & equal(sum(n14,n18),n11)
    & equal(sum(n14,n19),n12)
    & equal(sum(n14,n20),n13)
    & equal(sum(n15,n0),n15)
    & equal(sum(n15,n1),n16)
    & equal(sum(n15,n2),n17)
    & equal(sum(n15,n3),n18)
    & equal(sum(n15,n4),n19)
    & equal(sum(n15,n5),n20)
    & equal(sum(n15,n6),n0)
    & equal(sum(n15,n7),n1)
    & equal(sum(n15,n8),n2)
    & equal(sum(n15,n9),n3)
    & equal(sum(n15,n10),n4)
    & equal(sum(n15,n11),n5)
    & equal(sum(n15,n12),n6)
    & equal(sum(n15,n13),n7)
    & equal(sum(n15,n14),n8)
    & equal(sum(n15,n15),n9)
    & equal(sum(n15,n16),n10)
    & equal(sum(n15,n17),n11)
    & equal(sum(n15,n18),n12)
    & equal(sum(n15,n19),n13)
    & equal(sum(n15,n20),n14)
    & equal(sum(n16,n0),n16)
    & equal(sum(n16,n1),n17)
    & equal(sum(n16,n2),n18)
    & equal(sum(n16,n3),n19)
    & equal(sum(n16,n4),n20)
    & equal(sum(n16,n5),n0)
    & equal(sum(n16,n6),n1)
    & equal(sum(n16,n7),n2)
    & equal(sum(n16,n8),n3)
    & equal(sum(n16,n9),n4)
    & equal(sum(n16,n10),n5)
    & equal(sum(n16,n11),n6)
    & equal(sum(n16,n12),n7)
    & equal(sum(n16,n13),n8)
    & equal(sum(n16,n14),n9)
    & equal(sum(n16,n15),n10)
    & equal(sum(n16,n16),n11)
    & equal(sum(n16,n17),n12)
    & equal(sum(n16,n18),n13)
    & equal(sum(n16,n19),n14)
    & equal(sum(n16,n20),n15)
    & equal(sum(n17,n0),n17)
    & equal(sum(n17,n1),n18)
    & equal(sum(n17,n2),n19)
    & equal(sum(n17,n3),n20)
    & equal(sum(n17,n4),n0)
    & equal(sum(n17,n5),n1)
    & equal(sum(n17,n6),n2)
    & equal(sum(n17,n7),n3)
    & equal(sum(n17,n8),n4)
    & equal(sum(n17,n9),n5)
    & equal(sum(n17,n10),n6)
    & equal(sum(n17,n11),n7)
    & equal(sum(n17,n12),n8)
    & equal(sum(n17,n13),n9)
    & equal(sum(n17,n14),n10)
    & equal(sum(n17,n15),n11)
    & equal(sum(n17,n16),n12)
    & equal(sum(n17,n17),n13)
    & equal(sum(n17,n18),n14)
    & equal(sum(n17,n19),n15)
    & equal(sum(n17,n20),n16)
    & equal(sum(n18,n0),n18)
    & equal(sum(n18,n1),n19)
    & equal(sum(n18,n2),n20)
    & equal(sum(n18,n3),n0)
    & equal(sum(n18,n4),n1)
    & equal(sum(n18,n5),n2)
    & equal(sum(n18,n6),n3)
    & equal(sum(n18,n7),n4)
    & equal(sum(n18,n8),n5)
    & equal(sum(n18,n9),n6)
    & equal(sum(n18,n10),n7)
    & equal(sum(n18,n11),n8)
    & equal(sum(n18,n12),n9)
    & equal(sum(n18,n13),n10)
    & equal(sum(n18,n14),n11)
    & equal(sum(n18,n15),n12)
    & equal(sum(n18,n16),n13)
    & equal(sum(n18,n17),n14)
    & equal(sum(n18,n18),n15)
    & equal(sum(n18,n19),n16)
    & equal(sum(n18,n20),n17)
    & equal(sum(n19,n0),n19)
    & equal(sum(n19,n1),n20)
    & equal(sum(n19,n2),n0)
    & equal(sum(n19,n3),n1)
    & equal(sum(n19,n4),n2)
    & equal(sum(n19,n5),n3)
    & equal(sum(n19,n6),n4)
    & equal(sum(n19,n7),n5)
    & equal(sum(n19,n8),n6)
    & equal(sum(n19,n9),n7)
    & equal(sum(n19,n10),n8)
    & equal(sum(n19,n11),n9)
    & equal(sum(n19,n12),n10)
    & equal(sum(n19,n13),n11)
    & equal(sum(n19,n14),n12)
    & equal(sum(n19,n15),n13)
    & equal(sum(n19,n16),n14)
    & equal(sum(n19,n17),n15)
    & equal(sum(n19,n18),n16)
    & equal(sum(n19,n19),n17)
    & equal(sum(n19,n20),n18)
    & equal(sum(n20,n0),n20)
    & equal(sum(n20,n1),n0)
    & equal(sum(n20,n2),n1)
    & equal(sum(n20,n3),n2)
    & equal(sum(n20,n4),n3)
    & equal(sum(n20,n5),n4)
    & equal(sum(n20,n6),n5)
    & equal(sum(n20,n7),n6)
    & equal(sum(n20,n8),n7)
    & equal(sum(n20,n9),n8)
    & equal(sum(n20,n10),n9)
    & equal(sum(n20,n11),n10)
    & equal(sum(n20,n12),n11)
    & equal(sum(n20,n13),n12)
    & equal(sum(n20,n14),n13)
    & equal(sum(n20,n15),n14)
    & equal(sum(n20,n16),n15)
    & equal(sum(n20,n17),n16)
    & equal(sum(n20,n18),n17)
    & equal(sum(n20,n19),n18)
    & equal(sum(n20,n20),n19)
    & ( equal(esk1_0,n0)
      | equal(esk1_0,n1)
      | equal(esk1_0,n2)
      | equal(esk1_0,n3)
      | equal(esk1_0,n4)
      | equal(esk1_0,n5)
      | equal(esk1_0,n6)
      | equal(esk1_0,n7)
      | equal(esk1_0,n8)
      | equal(esk1_0,n9)
      | equal(esk1_0,n10)
      | equal(esk1_0,n11)
      | equal(esk1_0,n12)
      | equal(esk1_0,n13)
      | equal(esk1_0,n14)
      | equal(esk1_0,n15)
      | equal(esk1_0,n16)
      | equal(esk1_0,n17)
      | equal(esk1_0,n18)
      | equal(esk1_0,n19)
      | equal(esk1_0,n20) )
    & ( equal(esk2_0,n0)
      | equal(esk2_0,n1)
      | equal(esk2_0,n2)
      | equal(esk2_0,n3)
      | equal(esk2_0,n4)
      | equal(esk2_0,n5)
      | equal(esk2_0,n6)
      | equal(esk2_0,n7)
      | equal(esk2_0,n8)
      | equal(esk2_0,n9)
      | equal(esk2_0,n10)
      | equal(esk2_0,n11)
      | equal(esk2_0,n12)
      | equal(esk2_0,n13)
      | equal(esk2_0,n14)
      | equal(esk2_0,n15)
      | equal(esk2_0,n16)
      | equal(esk2_0,n17)
      | equal(esk2_0,n18)
      | equal(esk2_0,n19)
      | equal(esk2_0,n20) )
    & ~ equal(sum(sum(pred(esk1_0),succ(esk2_0)),sum(pred(esk2_0),succ(esk1_0))),sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0))))
    & ~ equal(n0,n1)
    & ~ equal(n0,n2)
    & ~ equal(n0,n3)
    & ~ equal(n0,n4)
    & ~ equal(n0,n5)
    & ~ equal(n0,n6)
    & ~ equal(n0,n7)
    & ~ equal(n0,n8)
    & ~ equal(n0,n9)
    & ~ equal(n0,n10)
    & ~ equal(n0,n11)
    & ~ equal(n0,n12)
    & ~ equal(n0,n13)
    & ~ equal(n0,n14)
    & ~ equal(n0,n15)
    & ~ equal(n0,n16)
    & ~ equal(n0,n17)
    & ~ equal(n0,n18)
    & ~ equal(n0,n19)
    & ~ equal(n0,n20)
    & ~ equal(n1,n2)
    & ~ equal(n1,n3)
    & ~ equal(n1,n4)
    & ~ equal(n1,n5)
    & ~ equal(n1,n6)
    & ~ equal(n1,n7)
    & ~ equal(n1,n8)
    & ~ equal(n1,n9)
    & ~ equal(n1,n10)
    & ~ equal(n1,n11)
    & ~ equal(n1,n12)
    & ~ equal(n1,n13)
    & ~ equal(n1,n14)
    & ~ equal(n1,n15)
    & ~ equal(n1,n16)
    & ~ equal(n1,n17)
    & ~ equal(n1,n18)
    & ~ equal(n1,n19)
    & ~ equal(n1,n20)
    & ~ equal(n2,n3)
    & ~ equal(n2,n4)
    & ~ equal(n2,n5)
    & ~ equal(n2,n6)
    & ~ equal(n2,n7)
    & ~ equal(n2,n8)
    & ~ equal(n2,n9)
    & ~ equal(n2,n10)
    & ~ equal(n2,n11)
    & ~ equal(n2,n12)
    & ~ equal(n2,n13)
    & ~ equal(n2,n14)
    & ~ equal(n2,n15)
    & ~ equal(n2,n16)
    & ~ equal(n2,n17)
    & ~ equal(n2,n18)
    & ~ equal(n2,n19)
    & ~ equal(n2,n20)
    & ~ equal(n3,n4)
    & ~ equal(n3,n5)
    & ~ equal(n3,n6)
    & ~ equal(n3,n7)
    & ~ equal(n3,n8)
    & ~ equal(n3,n9)
    & ~ equal(n3,n10)
    & ~ equal(n3,n11)
    & ~ equal(n3,n12)
    & ~ equal(n3,n13)
    & ~ equal(n3,n14)
    & ~ equal(n3,n15)
    & ~ equal(n3,n16)
    & ~ equal(n3,n17)
    & ~ equal(n3,n18)
    & ~ equal(n3,n19)
    & ~ equal(n3,n20)
    & ~ equal(n4,n5)
    & ~ equal(n4,n6)
    & ~ equal(n4,n7)
    & ~ equal(n4,n8)
    & ~ equal(n4,n9)
    & ~ equal(n4,n10)
    & ~ equal(n4,n11)
    & ~ equal(n4,n12)
    & ~ equal(n4,n13)
    & ~ equal(n4,n14)
    & ~ equal(n4,n15)
    & ~ equal(n4,n16)
    & ~ equal(n4,n17)
    & ~ equal(n4,n18)
    & ~ equal(n4,n19)
    & ~ equal(n4,n20)
    & ~ equal(n5,n6)
    & ~ equal(n5,n7)
    & ~ equal(n5,n8)
    & ~ equal(n5,n9)
    & ~ equal(n5,n10)
    & ~ equal(n5,n11)
    & ~ equal(n5,n12)
    & ~ equal(n5,n13)
    & ~ equal(n5,n14)
    & ~ equal(n5,n15)
    & ~ equal(n5,n16)
    & ~ equal(n5,n17)
    & ~ equal(n5,n18)
    & ~ equal(n5,n19)
    & ~ equal(n5,n20)
    & ~ equal(n6,n7)
    & ~ equal(n6,n8)
    & ~ equal(n6,n9)
    & ~ equal(n6,n10)
    & ~ equal(n6,n11)
    & ~ equal(n6,n12)
    & ~ equal(n6,n13)
    & ~ equal(n6,n14)
    & ~ equal(n6,n15)
    & ~ equal(n6,n16)
    & ~ equal(n6,n17)
    & ~ equal(n6,n18)
    & ~ equal(n6,n19)
    & ~ equal(n6,n20)
    & ~ equal(n7,n8)
    & ~ equal(n7,n9)
    & ~ equal(n7,n10)
    & ~ equal(n7,n11)
    & ~ equal(n7,n12)
    & ~ equal(n7,n13)
    & ~ equal(n7,n14)
    & ~ equal(n7,n15)
    & ~ equal(n7,n16)
    & ~ equal(n7,n17)
    & ~ equal(n7,n18)
    & ~ equal(n7,n19)
    & ~ equal(n7,n20)
    & ~ equal(n8,n9)
    & ~ equal(n8,n10)
    & ~ equal(n8,n11)
    & ~ equal(n8,n12)
    & ~ equal(n8,n13)
    & ~ equal(n8,n14)
    & ~ equal(n8,n15)
    & ~ equal(n8,n16)
    & ~ equal(n8,n17)
    & ~ equal(n8,n18)
    & ~ equal(n8,n19)
    & ~ equal(n8,n20)
    & ~ equal(n9,n10)
    & ~ equal(n9,n11)
    & ~ equal(n9,n12)
    & ~ equal(n9,n13)
    & ~ equal(n9,n14)
    & ~ equal(n9,n15)
    & ~ equal(n9,n16)
    & ~ equal(n9,n17)
    & ~ equal(n9,n18)
    & ~ equal(n9,n19)
    & ~ equal(n9,n20)
    & ~ equal(n10,n11)
    & ~ equal(n10,n12)
    & ~ equal(n10,n13)
    & ~ equal(n10,n14)
    & ~ equal(n10,n15)
    & ~ equal(n10,n16)
    & ~ equal(n10,n17)
    & ~ equal(n10,n18)
    & ~ equal(n10,n19)
    & ~ equal(n10,n20)
    & ~ equal(n11,n12)
    & ~ equal(n11,n13)
    & ~ equal(n11,n14)
    & ~ equal(n11,n15)
    & ~ equal(n11,n16)
    & ~ equal(n11,n17)
    & ~ equal(n11,n18)
    & ~ equal(n11,n19)
    & ~ equal(n11,n20)
    & ~ equal(n12,n13)
    & ~ equal(n12,n14)
    & ~ equal(n12,n15)
    & ~ equal(n12,n16)
    & ~ equal(n12,n17)
    & ~ equal(n12,n18)
    & ~ equal(n12,n19)
    & ~ equal(n12,n20)
    & ~ equal(n13,n14)
    & ~ equal(n13,n15)
    & ~ equal(n13,n16)
    & ~ equal(n13,n17)
    & ~ equal(n13,n18)
    & ~ equal(n13,n19)
    & ~ equal(n13,n20)
    & ~ equal(n14,n15)
    & ~ equal(n14,n16)
    & ~ equal(n14,n17)
    & ~ equal(n14,n18)
    & ~ equal(n14,n19)
    & ~ equal(n14,n20)
    & ~ equal(n15,n16)
    & ~ equal(n15,n17)
    & ~ equal(n15,n18)
    & ~ equal(n15,n19)
    & ~ equal(n15,n20)
    & ~ equal(n16,n17)
    & ~ equal(n16,n18)
    & ~ equal(n16,n19)
    & ~ equal(n16,n20)
    & ~ equal(n17,n18)
    & ~ equal(n17,n19)
    & ~ equal(n17,n20)
    & ~ equal(n18,n19)
    & ~ equal(n18,n20)
    & ~ equal(n19,n20) ),
    inference(skolemize,[status(esa)],[2]) ).

cnf(214,plain,
    sum(sum(pred(esk1_0),succ(esk2_0)),sum(pred(esk2_0),succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0))),
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(215,plain,
    ( esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk2_0 = n0 ),
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(216,plain,
    ( esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk1_0 = n0 ),
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(217,plain,
    sum(n20,n20) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(218,plain,
    sum(n20,n19) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(219,plain,
    sum(n20,n18) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(220,plain,
    sum(n20,n17) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(221,plain,
    sum(n20,n16) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(222,plain,
    sum(n20,n15) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(223,plain,
    sum(n20,n14) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(224,plain,
    sum(n20,n13) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(225,plain,
    sum(n20,n12) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(226,plain,
    sum(n20,n11) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(227,plain,
    sum(n20,n10) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(228,plain,
    sum(n20,n9) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(229,plain,
    sum(n20,n8) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(230,plain,
    sum(n20,n7) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(231,plain,
    sum(n20,n6) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(232,plain,
    sum(n20,n5) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(233,plain,
    sum(n20,n4) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(234,plain,
    sum(n20,n3) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(235,plain,
    sum(n20,n2) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(236,plain,
    sum(n20,n1) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(237,plain,
    sum(n20,n0) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(238,plain,
    sum(n19,n20) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(239,plain,
    sum(n19,n19) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(240,plain,
    sum(n19,n18) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(241,plain,
    sum(n19,n17) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(242,plain,
    sum(n19,n16) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(243,plain,
    sum(n19,n15) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(244,plain,
    sum(n19,n14) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(245,plain,
    sum(n19,n13) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(246,plain,
    sum(n19,n12) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(247,plain,
    sum(n19,n11) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(248,plain,
    sum(n19,n10) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(249,plain,
    sum(n19,n9) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(250,plain,
    sum(n19,n8) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(251,plain,
    sum(n19,n7) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(252,plain,
    sum(n19,n6) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(253,plain,
    sum(n19,n5) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(254,plain,
    sum(n19,n4) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(255,plain,
    sum(n19,n3) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(256,plain,
    sum(n19,n2) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(257,plain,
    sum(n19,n1) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(258,plain,
    sum(n19,n0) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(259,plain,
    sum(n18,n20) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(260,plain,
    sum(n18,n19) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(261,plain,
    sum(n18,n18) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(262,plain,
    sum(n18,n17) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(263,plain,
    sum(n18,n16) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(264,plain,
    sum(n18,n15) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(265,plain,
    sum(n18,n14) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(266,plain,
    sum(n18,n13) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(267,plain,
    sum(n18,n12) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(268,plain,
    sum(n18,n11) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(269,plain,
    sum(n18,n10) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(270,plain,
    sum(n18,n9) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(271,plain,
    sum(n18,n8) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(272,plain,
    sum(n18,n7) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(273,plain,
    sum(n18,n6) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(274,plain,
    sum(n18,n5) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(275,plain,
    sum(n18,n4) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(276,plain,
    sum(n18,n3) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(277,plain,
    sum(n18,n2) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(278,plain,
    sum(n18,n1) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(279,plain,
    sum(n18,n0) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(280,plain,
    sum(n17,n20) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(281,plain,
    sum(n17,n19) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(282,plain,
    sum(n17,n18) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(283,plain,
    sum(n17,n17) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(284,plain,
    sum(n17,n16) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(285,plain,
    sum(n17,n15) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(286,plain,
    sum(n17,n14) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(287,plain,
    sum(n17,n13) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(288,plain,
    sum(n17,n12) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(289,plain,
    sum(n17,n11) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(290,plain,
    sum(n17,n10) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(291,plain,
    sum(n17,n9) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(292,plain,
    sum(n17,n8) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(293,plain,
    sum(n17,n7) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(294,plain,
    sum(n17,n6) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(295,plain,
    sum(n17,n5) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(296,plain,
    sum(n17,n4) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(297,plain,
    sum(n17,n3) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(298,plain,
    sum(n17,n2) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(299,plain,
    sum(n17,n1) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(300,plain,
    sum(n17,n0) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(301,plain,
    sum(n16,n20) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(302,plain,
    sum(n16,n19) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(303,plain,
    sum(n16,n18) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(304,plain,
    sum(n16,n17) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(305,plain,
    sum(n16,n16) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(306,plain,
    sum(n16,n15) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(307,plain,
    sum(n16,n14) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(308,plain,
    sum(n16,n13) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(309,plain,
    sum(n16,n12) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(310,plain,
    sum(n16,n11) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(311,plain,
    sum(n16,n10) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(312,plain,
    sum(n16,n9) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(313,plain,
    sum(n16,n8) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(314,plain,
    sum(n16,n7) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(315,plain,
    sum(n16,n6) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(316,plain,
    sum(n16,n5) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(317,plain,
    sum(n16,n4) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(318,plain,
    sum(n16,n3) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(319,plain,
    sum(n16,n2) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(320,plain,
    sum(n16,n1) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(321,plain,
    sum(n16,n0) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(322,plain,
    sum(n15,n20) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(323,plain,
    sum(n15,n19) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(324,plain,
    sum(n15,n18) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(325,plain,
    sum(n15,n17) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(326,plain,
    sum(n15,n16) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(327,plain,
    sum(n15,n15) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(328,plain,
    sum(n15,n14) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(329,plain,
    sum(n15,n13) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(330,plain,
    sum(n15,n12) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(331,plain,
    sum(n15,n11) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(332,plain,
    sum(n15,n10) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(333,plain,
    sum(n15,n9) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(334,plain,
    sum(n15,n8) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(335,plain,
    sum(n15,n7) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(336,plain,
    sum(n15,n6) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(337,plain,
    sum(n15,n5) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(338,plain,
    sum(n15,n4) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(339,plain,
    sum(n15,n3) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(340,plain,
    sum(n15,n2) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(341,plain,
    sum(n15,n1) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(342,plain,
    sum(n15,n0) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(343,plain,
    sum(n14,n20) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(344,plain,
    sum(n14,n19) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(345,plain,
    sum(n14,n18) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(346,plain,
    sum(n14,n17) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(347,plain,
    sum(n14,n16) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(348,plain,
    sum(n14,n15) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(349,plain,
    sum(n14,n14) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(350,plain,
    sum(n14,n13) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(351,plain,
    sum(n14,n12) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(352,plain,
    sum(n14,n11) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(353,plain,
    sum(n14,n10) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(354,plain,
    sum(n14,n9) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(355,plain,
    sum(n14,n8) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(356,plain,
    sum(n14,n7) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(357,plain,
    sum(n14,n6) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(358,plain,
    sum(n14,n5) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(359,plain,
    sum(n14,n4) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(360,plain,
    sum(n14,n3) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(361,plain,
    sum(n14,n2) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(362,plain,
    sum(n14,n1) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(363,plain,
    sum(n14,n0) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(364,plain,
    sum(n13,n20) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(365,plain,
    sum(n13,n19) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(366,plain,
    sum(n13,n18) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(367,plain,
    sum(n13,n17) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(368,plain,
    sum(n13,n16) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(369,plain,
    sum(n13,n15) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(370,plain,
    sum(n13,n14) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(371,plain,
    sum(n13,n13) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(372,plain,
    sum(n13,n12) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(373,plain,
    sum(n13,n11) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(374,plain,
    sum(n13,n10) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(375,plain,
    sum(n13,n9) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(376,plain,
    sum(n13,n8) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(377,plain,
    sum(n13,n7) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(378,plain,
    sum(n13,n6) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(379,plain,
    sum(n13,n5) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(380,plain,
    sum(n13,n4) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(381,plain,
    sum(n13,n3) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(382,plain,
    sum(n13,n2) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(383,plain,
    sum(n13,n1) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(384,plain,
    sum(n13,n0) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(385,plain,
    sum(n12,n20) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(386,plain,
    sum(n12,n19) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(387,plain,
    sum(n12,n18) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(388,plain,
    sum(n12,n17) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(389,plain,
    sum(n12,n16) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(390,plain,
    sum(n12,n15) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(391,plain,
    sum(n12,n14) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(392,plain,
    sum(n12,n13) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(393,plain,
    sum(n12,n12) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(394,plain,
    sum(n12,n11) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(395,plain,
    sum(n12,n10) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(396,plain,
    sum(n12,n9) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(397,plain,
    sum(n12,n8) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(398,plain,
    sum(n12,n7) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(399,plain,
    sum(n12,n6) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(400,plain,
    sum(n12,n5) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(401,plain,
    sum(n12,n4) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(402,plain,
    sum(n12,n3) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(403,plain,
    sum(n12,n2) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(404,plain,
    sum(n12,n1) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(405,plain,
    sum(n12,n0) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(406,plain,
    sum(n11,n20) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(407,plain,
    sum(n11,n19) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(408,plain,
    sum(n11,n18) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(409,plain,
    sum(n11,n17) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(410,plain,
    sum(n11,n16) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(411,plain,
    sum(n11,n15) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(412,plain,
    sum(n11,n14) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(413,plain,
    sum(n11,n13) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(414,plain,
    sum(n11,n12) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(415,plain,
    sum(n11,n11) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(416,plain,
    sum(n11,n10) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(417,plain,
    sum(n11,n9) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(418,plain,
    sum(n11,n8) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(419,plain,
    sum(n11,n7) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(420,plain,
    sum(n11,n6) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(421,plain,
    sum(n11,n5) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(422,plain,
    sum(n11,n4) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(423,plain,
    sum(n11,n3) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(424,plain,
    sum(n11,n2) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(425,plain,
    sum(n11,n1) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(426,plain,
    sum(n11,n0) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(427,plain,
    sum(n10,n20) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(428,plain,
    sum(n10,n19) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(429,plain,
    sum(n10,n18) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(430,plain,
    sum(n10,n17) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(431,plain,
    sum(n10,n16) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(432,plain,
    sum(n10,n15) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(433,plain,
    sum(n10,n14) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(434,plain,
    sum(n10,n13) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(435,plain,
    sum(n10,n12) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(436,plain,
    sum(n10,n11) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(437,plain,
    sum(n10,n10) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(438,plain,
    sum(n10,n9) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(439,plain,
    sum(n10,n8) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(440,plain,
    sum(n10,n7) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(441,plain,
    sum(n10,n6) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(442,plain,
    sum(n10,n5) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(443,plain,
    sum(n10,n4) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(444,plain,
    sum(n10,n3) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(445,plain,
    sum(n10,n2) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(446,plain,
    sum(n10,n1) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(447,plain,
    sum(n10,n0) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(448,plain,
    sum(n9,n20) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(449,plain,
    sum(n9,n19) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(450,plain,
    sum(n9,n18) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(451,plain,
    sum(n9,n17) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(452,plain,
    sum(n9,n16) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(453,plain,
    sum(n9,n15) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(454,plain,
    sum(n9,n14) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(455,plain,
    sum(n9,n13) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(456,plain,
    sum(n9,n12) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(457,plain,
    sum(n9,n11) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(458,plain,
    sum(n9,n10) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(459,plain,
    sum(n9,n9) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(460,plain,
    sum(n9,n8) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(461,plain,
    sum(n9,n7) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(462,plain,
    sum(n9,n6) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(463,plain,
    sum(n9,n5) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(464,plain,
    sum(n9,n4) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(465,plain,
    sum(n9,n3) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(466,plain,
    sum(n9,n2) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(467,plain,
    sum(n9,n1) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(468,plain,
    sum(n9,n0) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(469,plain,
    sum(n8,n20) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(470,plain,
    sum(n8,n19) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(471,plain,
    sum(n8,n18) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(472,plain,
    sum(n8,n17) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(473,plain,
    sum(n8,n16) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(474,plain,
    sum(n8,n15) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(475,plain,
    sum(n8,n14) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(476,plain,
    sum(n8,n13) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(477,plain,
    sum(n8,n12) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(478,plain,
    sum(n8,n11) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(479,plain,
    sum(n8,n10) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(480,plain,
    sum(n8,n9) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(481,plain,
    sum(n8,n8) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(482,plain,
    sum(n8,n7) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(483,plain,
    sum(n8,n6) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(484,plain,
    sum(n8,n5) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(485,plain,
    sum(n8,n4) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(486,plain,
    sum(n8,n3) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(487,plain,
    sum(n8,n2) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(488,plain,
    sum(n8,n1) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(489,plain,
    sum(n8,n0) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(490,plain,
    sum(n7,n20) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(491,plain,
    sum(n7,n19) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(492,plain,
    sum(n7,n18) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(493,plain,
    sum(n7,n17) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(494,plain,
    sum(n7,n16) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(495,plain,
    sum(n7,n15) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(496,plain,
    sum(n7,n14) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(497,plain,
    sum(n7,n13) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(498,plain,
    sum(n7,n12) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(499,plain,
    sum(n7,n11) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(500,plain,
    sum(n7,n10) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(501,plain,
    sum(n7,n9) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(502,plain,
    sum(n7,n8) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(503,plain,
    sum(n7,n7) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(504,plain,
    sum(n7,n6) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(505,plain,
    sum(n7,n5) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(506,plain,
    sum(n7,n4) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(507,plain,
    sum(n7,n3) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(508,plain,
    sum(n7,n2) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(509,plain,
    sum(n7,n1) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(510,plain,
    sum(n7,n0) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(511,plain,
    sum(n6,n20) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(512,plain,
    sum(n6,n19) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(513,plain,
    sum(n6,n18) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(514,plain,
    sum(n6,n17) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(515,plain,
    sum(n6,n16) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(516,plain,
    sum(n6,n15) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(517,plain,
    sum(n6,n14) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(518,plain,
    sum(n6,n13) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(519,plain,
    sum(n6,n12) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(520,plain,
    sum(n6,n11) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(521,plain,
    sum(n6,n10) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(522,plain,
    sum(n6,n9) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(523,plain,
    sum(n6,n8) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(524,plain,
    sum(n6,n7) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(525,plain,
    sum(n6,n6) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(526,plain,
    sum(n6,n5) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(527,plain,
    sum(n6,n4) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(528,plain,
    sum(n6,n3) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(529,plain,
    sum(n6,n2) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(530,plain,
    sum(n6,n1) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(531,plain,
    sum(n6,n0) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(532,plain,
    sum(n5,n20) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(533,plain,
    sum(n5,n19) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(534,plain,
    sum(n5,n18) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(535,plain,
    sum(n5,n17) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(536,plain,
    sum(n5,n16) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(537,plain,
    sum(n5,n15) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(538,plain,
    sum(n5,n14) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(539,plain,
    sum(n5,n13) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(540,plain,
    sum(n5,n12) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(541,plain,
    sum(n5,n11) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(542,plain,
    sum(n5,n10) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(543,plain,
    sum(n5,n9) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(544,plain,
    sum(n5,n8) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(545,plain,
    sum(n5,n7) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(546,plain,
    sum(n5,n6) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(547,plain,
    sum(n5,n5) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(548,plain,
    sum(n5,n4) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(549,plain,
    sum(n5,n3) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(550,plain,
    sum(n5,n2) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(551,plain,
    sum(n5,n1) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(552,plain,
    sum(n5,n0) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(553,plain,
    sum(n4,n20) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(554,plain,
    sum(n4,n19) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(555,plain,
    sum(n4,n18) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(556,plain,
    sum(n4,n17) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(557,plain,
    sum(n4,n16) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(558,plain,
    sum(n4,n15) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(559,plain,
    sum(n4,n14) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(560,plain,
    sum(n4,n13) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(561,plain,
    sum(n4,n12) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(562,plain,
    sum(n4,n11) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(563,plain,
    sum(n4,n10) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(564,plain,
    sum(n4,n9) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(565,plain,
    sum(n4,n8) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(566,plain,
    sum(n4,n7) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(567,plain,
    sum(n4,n6) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(568,plain,
    sum(n4,n5) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(569,plain,
    sum(n4,n4) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(570,plain,
    sum(n4,n3) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(571,plain,
    sum(n4,n2) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(572,plain,
    sum(n4,n1) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(573,plain,
    sum(n4,n0) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(574,plain,
    sum(n3,n20) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(575,plain,
    sum(n3,n19) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(576,plain,
    sum(n3,n18) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(577,plain,
    sum(n3,n17) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(578,plain,
    sum(n3,n16) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(579,plain,
    sum(n3,n15) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(580,plain,
    sum(n3,n14) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(581,plain,
    sum(n3,n13) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(582,plain,
    sum(n3,n12) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(583,plain,
    sum(n3,n11) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(584,plain,
    sum(n3,n10) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(585,plain,
    sum(n3,n9) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(586,plain,
    sum(n3,n8) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(587,plain,
    sum(n3,n7) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(588,plain,
    sum(n3,n6) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(589,plain,
    sum(n3,n5) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(590,plain,
    sum(n3,n4) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(591,plain,
    sum(n3,n3) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(592,plain,
    sum(n3,n2) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(593,plain,
    sum(n3,n1) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(594,plain,
    sum(n3,n0) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(595,plain,
    sum(n2,n20) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(596,plain,
    sum(n2,n19) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(597,plain,
    sum(n2,n18) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(598,plain,
    sum(n2,n17) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(599,plain,
    sum(n2,n16) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(600,plain,
    sum(n2,n15) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(601,plain,
    sum(n2,n14) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(602,plain,
    sum(n2,n13) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(603,plain,
    sum(n2,n12) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(604,plain,
    sum(n2,n11) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(605,plain,
    sum(n2,n10) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(606,plain,
    sum(n2,n9) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(607,plain,
    sum(n2,n8) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(608,plain,
    sum(n2,n7) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(609,plain,
    sum(n2,n6) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(610,plain,
    sum(n2,n5) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(611,plain,
    sum(n2,n4) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(612,plain,
    sum(n2,n3) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(613,plain,
    sum(n2,n2) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(614,plain,
    sum(n2,n1) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(615,plain,
    sum(n2,n0) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(616,plain,
    sum(n1,n20) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(617,plain,
    sum(n1,n19) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(618,plain,
    sum(n1,n18) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(619,plain,
    sum(n1,n17) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(620,plain,
    sum(n1,n16) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(621,plain,
    sum(n1,n15) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(622,plain,
    sum(n1,n14) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(623,plain,
    sum(n1,n13) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(624,plain,
    sum(n1,n12) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(625,plain,
    sum(n1,n11) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(626,plain,
    sum(n1,n10) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(627,plain,
    sum(n1,n9) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(628,plain,
    sum(n1,n8) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(629,plain,
    sum(n1,n7) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(630,plain,
    sum(n1,n6) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(631,plain,
    sum(n1,n5) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(632,plain,
    sum(n1,n4) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(633,plain,
    sum(n1,n3) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(634,plain,
    sum(n1,n2) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(635,plain,
    sum(n1,n1) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(636,plain,
    sum(n1,n0) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(637,plain,
    sum(n0,n20) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(638,plain,
    sum(n0,n19) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(639,plain,
    sum(n0,n18) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(640,plain,
    sum(n0,n17) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(641,plain,
    sum(n0,n16) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(642,plain,
    sum(n0,n15) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(643,plain,
    sum(n0,n14) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(644,plain,
    sum(n0,n13) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(645,plain,
    sum(n0,n12) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(646,plain,
    sum(n0,n11) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(647,plain,
    sum(n0,n10) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(648,plain,
    sum(n0,n9) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(649,plain,
    sum(n0,n8) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(650,plain,
    sum(n0,n7) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(651,plain,
    sum(n0,n6) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(652,plain,
    sum(n0,n5) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(653,plain,
    sum(n0,n4) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(654,plain,
    sum(n0,n3) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(655,plain,
    sum(n0,n2) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(656,plain,
    sum(n0,n1) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(657,plain,
    sum(n0,n0) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(658,plain,
    pred(n20) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(659,plain,
    pred(n19) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(660,plain,
    pred(n18) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(661,plain,
    pred(n17) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(662,plain,
    pred(n16) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(663,plain,
    pred(n15) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(664,plain,
    pred(n14) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(665,plain,
    pred(n13) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(666,plain,
    pred(n12) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(667,plain,
    pred(n11) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(668,plain,
    pred(n10) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(669,plain,
    pred(n9) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(670,plain,
    pred(n8) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(671,plain,
    pred(n7) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(672,plain,
    pred(n6) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(673,plain,
    pred(n5) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(674,plain,
    pred(n4) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(675,plain,
    pred(n3) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(676,plain,
    pred(n2) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(677,plain,
    pred(n1) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(678,plain,
    pred(n0) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(679,plain,
    succ(n20) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(680,plain,
    succ(n19) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(681,plain,
    succ(n18) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(682,plain,
    succ(n17) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(683,plain,
    succ(n16) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(684,plain,
    succ(n15) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(685,plain,
    succ(n14) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(686,plain,
    succ(n13) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(687,plain,
    succ(n12) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(688,plain,
    succ(n11) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(689,plain,
    succ(n10) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(690,plain,
    succ(n9) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(691,plain,
    succ(n8) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(692,plain,
    succ(n7) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(693,plain,
    succ(n6) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(694,plain,
    succ(n5) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(695,plain,
    succ(n4) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(696,plain,
    succ(n3) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(697,plain,
    succ(n2) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(698,plain,
    succ(n1) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(699,plain,
    succ(n0) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(720,plain,
    ( esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n0),succ(esk2_0)),sum(pred(esk2_0),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,216,theory(equality)]) ).

cnf(721,plain,
    ( esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n20,succ(esk2_0)),sum(pred(esk2_0),n1)) != sum(sum(pred(n0),succ(n0)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[720,678,theory(equality)]),699,theory(equality)]) ).

cnf(722,plain,
    ( esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n20,succ(esk2_0)),sum(pred(esk2_0),n1)) != sum(n0,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[721,678,theory(equality)]),699,theory(equality)]),236,theory(equality)]) ).

cnf(743,plain,
    ( esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(pred(esk1_0),succ(n0)),sum(pred(n0),succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(n0),succ(n0))) ),
    inference(spm,[status(thm)],[214,215,theory(equality)]) ).

cnf(744,plain,
    ( esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(pred(esk1_0),n1),sum(n20,succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(n0),succ(n0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[743,699,theory(equality)]),678,theory(equality)]) ).

cnf(745,plain,
    ( esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(pred(esk1_0),n1),sum(n20,succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[744,678,theory(equality)]),699,theory(equality)]),236,theory(equality)]) ).

cnf(746,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n0)),sum(pred(n0),n1)) != sum(n0,sum(pred(n0),succ(n0))) ),
    inference(spm,[status(thm)],[722,215,theory(equality)]) ).

cnf(747,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n0,sum(pred(n0),succ(n0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[746,699,theory(equality)]),236,theory(equality)]),678,theory(equality)]),236,theory(equality)]),657,theory(equality)]) ).

cnf(748,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[747,678,theory(equality)]),699,theory(equality)]),236,theory(equality)]),657,theory(equality)]) ).

cnf(749,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[748,theory(equality)]) ).

cnf(774,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n20,succ(n20)),sum(pred(n20),n1)) != sum(n0,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[722,749,theory(equality)]) ).

cnf(777,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n19 != sum(n0,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[774,679,theory(equality)]),237,theory(equality)]),658,theory(equality)]),257,theory(equality)]),217,theory(equality)]) ).

cnf(778,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[777,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),638,theory(equality)]) ).

cnf(779,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[778,theory(equality)]) ).

cnf(799,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n19)),sum(pred(n19),n1)) != sum(n0,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[722,779,theory(equality)]) ).

cnf(802,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n17 != sum(n0,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[799,680,theory(equality)]),217,theory(equality)]),659,theory(equality)]),278,theory(equality)]),239,theory(equality)]) ).

cnf(803,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[802,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),640,theory(equality)]) ).

cnf(804,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[803,theory(equality)]) ).

cnf(823,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n20,succ(n18)),sum(pred(n18),n1)) != sum(n0,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[722,804,theory(equality)]) ).

cnf(826,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n15 != sum(n0,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[823,681,theory(equality)]),218,theory(equality)]),660,theory(equality)]),299,theory(equality)]),261,theory(equality)]) ).

cnf(827,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[826,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),642,theory(equality)]) ).

cnf(828,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[827,theory(equality)]) ).

cnf(846,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n17)),sum(pred(n17),n1)) != sum(n0,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[722,828,theory(equality)]) ).

cnf(849,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n13 != sum(n0,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[846,682,theory(equality)]),219,theory(equality)]),661,theory(equality)]),320,theory(equality)]),283,theory(equality)]) ).

cnf(850,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[849,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),644,theory(equality)]) ).

cnf(851,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[850,theory(equality)]) ).

cnf(868,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n20,succ(n16)),sum(pred(n16),n1)) != sum(n0,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[722,851,theory(equality)]) ).

cnf(871,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n11 != sum(n0,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[868,683,theory(equality)]),220,theory(equality)]),662,theory(equality)]),341,theory(equality)]),305,theory(equality)]) ).

cnf(872,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[871,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),646,theory(equality)]) ).

cnf(873,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[872,theory(equality)]) ).

cnf(889,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n15)),sum(pred(n15),n1)) != sum(n0,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[722,873,theory(equality)]) ).

cnf(892,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n9 != sum(n0,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[889,684,theory(equality)]),221,theory(equality)]),663,theory(equality)]),362,theory(equality)]),327,theory(equality)]) ).

cnf(893,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[892,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),648,theory(equality)]) ).

cnf(894,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[893,theory(equality)]) ).

cnf(909,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n20,succ(n14)),sum(pred(n14),n1)) != sum(n0,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[722,894,theory(equality)]) ).

cnf(912,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n7 != sum(n0,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[909,685,theory(equality)]),222,theory(equality)]),664,theory(equality)]),383,theory(equality)]),349,theory(equality)]) ).

cnf(913,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[912,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),650,theory(equality)]) ).

cnf(914,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[913,theory(equality)]) ).

cnf(928,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n13)),sum(pred(n13),n1)) != sum(n0,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[722,914,theory(equality)]) ).

cnf(931,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n5 != sum(n0,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[928,686,theory(equality)]),223,theory(equality)]),665,theory(equality)]),404,theory(equality)]),371,theory(equality)]) ).

cnf(932,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[931,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),652,theory(equality)]) ).

cnf(933,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[932,theory(equality)]) ).

cnf(946,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n20,succ(n12)),sum(pred(n12),n1)) != sum(n0,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[722,933,theory(equality)]) ).

cnf(949,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n3 != sum(n0,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[946,687,theory(equality)]),224,theory(equality)]),666,theory(equality)]),425,theory(equality)]),393,theory(equality)]) ).

cnf(950,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[949,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),654,theory(equality)]) ).

cnf(951,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[950,theory(equality)]) ).

cnf(963,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n11)),sum(pred(n11),n1)) != sum(n0,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[722,951,theory(equality)]) ).

cnf(966,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n1 != sum(n0,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[963,688,theory(equality)]),225,theory(equality)]),667,theory(equality)]),446,theory(equality)]),415,theory(equality)]) ).

cnf(967,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[966,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),656,theory(equality)]) ).

cnf(968,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[967,theory(equality)]) ).

cnf(979,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n20,succ(n10)),sum(pred(n10),n1)) != sum(n0,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[722,968,theory(equality)]) ).

cnf(982,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n20 != sum(n0,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[979,689,theory(equality)]),226,theory(equality)]),668,theory(equality)]),467,theory(equality)]),437,theory(equality)]) ).

cnf(983,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[982,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),637,theory(equality)]) ).

cnf(984,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[983,theory(equality)]) ).

cnf(994,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n9)),sum(pred(n9),n1)) != sum(n0,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[722,984,theory(equality)]) ).

cnf(997,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n0,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[994,690,theory(equality)]),227,theory(equality)]),669,theory(equality)]),488,theory(equality)]),459,theory(equality)]) ).

cnf(998,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[997,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),639,theory(equality)]) ).

cnf(999,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[998,theory(equality)]) ).

cnf(1008,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n20,succ(n8)),sum(pred(n8),n1)) != sum(n0,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[722,999,theory(equality)]) ).

cnf(1011,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n16 != sum(n0,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1008,691,theory(equality)]),228,theory(equality)]),670,theory(equality)]),509,theory(equality)]),481,theory(equality)]) ).

cnf(1012,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1011,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),641,theory(equality)]) ).

cnf(1013,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[1012,theory(equality)]) ).

cnf(1021,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n7)),sum(pred(n7),n1)) != sum(n0,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[722,1013,theory(equality)]) ).

cnf(1024,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n0,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1021,692,theory(equality)]),229,theory(equality)]),671,theory(equality)]),530,theory(equality)]),503,theory(equality)]) ).

cnf(1025,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1024,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),643,theory(equality)]) ).

cnf(1026,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1025,theory(equality)]) ).

cnf(1033,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n20,succ(n6)),sum(pred(n6),n1)) != sum(n0,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[722,1026,theory(equality)]) ).

cnf(1036,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n12 != sum(n0,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1033,693,theory(equality)]),230,theory(equality)]),672,theory(equality)]),551,theory(equality)]),525,theory(equality)]) ).

cnf(1037,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1036,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),645,theory(equality)]) ).

cnf(1038,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[1037,theory(equality)]) ).

cnf(1044,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n5)),sum(pred(n5),n1)) != sum(n0,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[722,1038,theory(equality)]) ).

cnf(1047,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n0,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1044,694,theory(equality)]),231,theory(equality)]),673,theory(equality)]),572,theory(equality)]),547,theory(equality)]) ).

cnf(1048,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1047,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),647,theory(equality)]) ).

cnf(1049,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1048,theory(equality)]) ).

cnf(1054,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n20,succ(n4)),sum(pred(n4),n1)) != sum(n0,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[722,1049,theory(equality)]) ).

cnf(1057,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n8 != sum(n0,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1054,695,theory(equality)]),232,theory(equality)]),674,theory(equality)]),593,theory(equality)]),569,theory(equality)]) ).

cnf(1058,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1057,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),649,theory(equality)]) ).

cnf(1059,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[1058,theory(equality)]) ).

cnf(1063,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n3)),sum(pred(n3),n1)) != sum(n0,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[722,1059,theory(equality)]) ).

cnf(1066,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n0,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1063,696,theory(equality)]),233,theory(equality)]),675,theory(equality)]),614,theory(equality)]),591,theory(equality)]) ).

cnf(1067,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1066,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),651,theory(equality)]) ).

cnf(1068,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1067,theory(equality)]) ).

cnf(1071,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | sum(sum(n20,succ(n2)),sum(pred(n2),n1)) != sum(n0,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[722,1068,theory(equality)]) ).

cnf(1074,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | n4 != sum(n0,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1071,697,theory(equality)]),234,theory(equality)]),676,theory(equality)]),635,theory(equality)]),613,theory(equality)]) ).

cnf(1075,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1074,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),653,theory(equality)]) ).

cnf(1076,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1075,theory(equality)]) ).

cnf(1078,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | sum(sum(n20,succ(n1)),sum(pred(n1),n1)) != sum(n0,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[722,1076,theory(equality)]) ).

cnf(1081,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | n2 != sum(n0,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1078,698,theory(equality)]),235,theory(equality)]),677,theory(equality)]),656,theory(equality)]),635,theory(equality)]) ).

cnf(1082,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1081,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),655,theory(equality)]) ).

cnf(1083,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20 ),
    inference(cn,[status(thm)],[1082,theory(equality)]) ).

cnf(1103,plain,
    ( esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n20),succ(esk2_0)),sum(pred(esk2_0),succ(n20))) != sum(sum(pred(n20),succ(n20)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,1083,theory(equality)]) ).

cnf(1104,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n20),n1),sum(n20,succ(n20))) != sum(sum(pred(n20),succ(n20)),n0) ),
    inference(spm,[status(thm)],[745,1083,theory(equality)]) ).

cnf(1105,plain,
    ( esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n19,succ(esk2_0)),sum(pred(esk2_0),n0)) != sum(sum(pred(n20),succ(n20)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[1103,658,theory(equality)]),679,theory(equality)]) ).

cnf(1106,plain,
    ( esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n19,succ(esk2_0)),sum(pred(esk2_0),n0)) != sum(n19,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1105,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]) ).

cnf(1107,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n19 != sum(sum(pred(n20),succ(n20)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1104,658,theory(equality)]),257,theory(equality)]),679,theory(equality)]),237,theory(equality)]),217,theory(equality)]) ).

cnf(1108,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1107,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),258,theory(equality)]) ).

cnf(1109,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[1108,theory(equality)]) ).

cnf(1134,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n20)),sum(pred(n20),n0)) != sum(n19,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[1106,1109,theory(equality)]) ).

cnf(1137,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n17 != sum(n19,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1134,679,theory(equality)]),258,theory(equality)]),658,theory(equality)]),258,theory(equality)]),239,theory(equality)]) ).

cnf(1138,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1137,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),239,theory(equality)]) ).

cnf(1139,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1138,theory(equality)]) ).

cnf(1159,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n19,succ(n19)),sum(pred(n19),n0)) != sum(n19,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[1106,1139,theory(equality)]) ).

cnf(1162,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n15 != sum(n19,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1159,680,theory(equality)]),238,theory(equality)]),659,theory(equality)]),279,theory(equality)]),261,theory(equality)]) ).

cnf(1163,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1162,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),241,theory(equality)]) ).

cnf(1164,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[1163,theory(equality)]) ).

cnf(1183,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n18)),sum(pred(n18),n0)) != sum(n19,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[1106,1164,theory(equality)]) ).

cnf(1186,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n13 != sum(n19,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1183,681,theory(equality)]),239,theory(equality)]),660,theory(equality)]),300,theory(equality)]),283,theory(equality)]) ).

cnf(1187,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1186,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),243,theory(equality)]) ).

cnf(1188,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1187,theory(equality)]) ).

cnf(1206,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n19,succ(n17)),sum(pred(n17),n0)) != sum(n19,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[1106,1188,theory(equality)]) ).

cnf(1209,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n11 != sum(n19,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1206,682,theory(equality)]),240,theory(equality)]),661,theory(equality)]),321,theory(equality)]),305,theory(equality)]) ).

cnf(1210,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1209,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),245,theory(equality)]) ).

cnf(1211,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[1210,theory(equality)]) ).

cnf(1228,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n16)),sum(pred(n16),n0)) != sum(n19,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[1106,1211,theory(equality)]) ).

cnf(1231,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n9 != sum(n19,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1228,683,theory(equality)]),241,theory(equality)]),662,theory(equality)]),342,theory(equality)]),327,theory(equality)]) ).

cnf(1232,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1231,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),247,theory(equality)]) ).

cnf(1233,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1232,theory(equality)]) ).

cnf(1249,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n19,succ(n15)),sum(pred(n15),n0)) != sum(n19,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[1106,1233,theory(equality)]) ).

cnf(1252,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n7 != sum(n19,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1249,684,theory(equality)]),242,theory(equality)]),663,theory(equality)]),363,theory(equality)]),349,theory(equality)]) ).

cnf(1253,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1252,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),249,theory(equality)]) ).

cnf(1254,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[1253,theory(equality)]) ).

cnf(1269,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n14)),sum(pred(n14),n0)) != sum(n19,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[1106,1254,theory(equality)]) ).

cnf(1272,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n5 != sum(n19,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1269,685,theory(equality)]),243,theory(equality)]),664,theory(equality)]),384,theory(equality)]),371,theory(equality)]) ).

cnf(1273,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1272,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),251,theory(equality)]) ).

cnf(1274,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1273,theory(equality)]) ).

cnf(1288,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n19,succ(n13)),sum(pred(n13),n0)) != sum(n19,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[1106,1274,theory(equality)]) ).

cnf(1291,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n3 != sum(n19,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1288,686,theory(equality)]),244,theory(equality)]),665,theory(equality)]),405,theory(equality)]),393,theory(equality)]) ).

cnf(1292,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1291,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),253,theory(equality)]) ).

cnf(1293,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[1292,theory(equality)]) ).

cnf(1306,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n12)),sum(pred(n12),n0)) != sum(n19,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[1106,1293,theory(equality)]) ).

cnf(1309,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n1 != sum(n19,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1306,687,theory(equality)]),245,theory(equality)]),666,theory(equality)]),426,theory(equality)]),415,theory(equality)]) ).

cnf(1310,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1309,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),255,theory(equality)]) ).

cnf(1311,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1310,theory(equality)]) ).

cnf(1323,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n19,succ(n11)),sum(pred(n11),n0)) != sum(n19,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[1106,1311,theory(equality)]) ).

cnf(1326,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n20 != sum(n19,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1323,688,theory(equality)]),246,theory(equality)]),667,theory(equality)]),447,theory(equality)]),437,theory(equality)]) ).

cnf(1327,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1326,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),257,theory(equality)]) ).

cnf(1328,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[1327,theory(equality)]) ).

cnf(1339,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n10)),sum(pred(n10),n0)) != sum(n19,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[1106,1328,theory(equality)]) ).

cnf(1342,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n19,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1339,689,theory(equality)]),247,theory(equality)]),668,theory(equality)]),468,theory(equality)]),459,theory(equality)]) ).

cnf(1343,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1342,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),238,theory(equality)]) ).

cnf(1344,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1343,theory(equality)]) ).

cnf(1354,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n19,succ(n9)),sum(pred(n9),n0)) != sum(n19,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[1106,1344,theory(equality)]) ).

cnf(1357,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n16 != sum(n19,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1354,690,theory(equality)]),248,theory(equality)]),669,theory(equality)]),489,theory(equality)]),481,theory(equality)]) ).

cnf(1358,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1357,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),240,theory(equality)]) ).

cnf(1359,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[1358,theory(equality)]) ).

cnf(1379,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n8)),sum(pred(n8),n0)) != sum(n19,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[1106,1359,theory(equality)]) ).

cnf(1382,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n19,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1379,691,theory(equality)]),249,theory(equality)]),670,theory(equality)]),510,theory(equality)]),503,theory(equality)]) ).

cnf(1383,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1382,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),242,theory(equality)]) ).

cnf(1384,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1383,theory(equality)]) ).

cnf(1392,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n19,succ(n7)),sum(pred(n7),n0)) != sum(n19,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[1106,1384,theory(equality)]) ).

cnf(1395,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n12 != sum(n19,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1392,692,theory(equality)]),250,theory(equality)]),671,theory(equality)]),531,theory(equality)]),525,theory(equality)]) ).

cnf(1396,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1395,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),244,theory(equality)]) ).

cnf(1397,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[1396,theory(equality)]) ).

cnf(1404,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n6)),sum(pred(n6),n0)) != sum(n19,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[1106,1397,theory(equality)]) ).

cnf(1407,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n19,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1404,693,theory(equality)]),251,theory(equality)]),672,theory(equality)]),552,theory(equality)]),547,theory(equality)]) ).

cnf(1408,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1407,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),246,theory(equality)]) ).

cnf(1409,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1408,theory(equality)]) ).

cnf(1415,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n19,succ(n5)),sum(pred(n5),n0)) != sum(n19,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[1106,1409,theory(equality)]) ).

cnf(1418,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n8 != sum(n19,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1415,694,theory(equality)]),252,theory(equality)]),673,theory(equality)]),573,theory(equality)]),569,theory(equality)]) ).

cnf(1419,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1418,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),248,theory(equality)]) ).

cnf(1420,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[1419,theory(equality)]) ).

cnf(1425,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n4)),sum(pred(n4),n0)) != sum(n19,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[1106,1420,theory(equality)]) ).

cnf(1428,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n19,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1425,695,theory(equality)]),253,theory(equality)]),674,theory(equality)]),594,theory(equality)]),591,theory(equality)]) ).

cnf(1429,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1428,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),250,theory(equality)]) ).

cnf(1430,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1429,theory(equality)]) ).

cnf(1434,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n19,succ(n3)),sum(pred(n3),n0)) != sum(n19,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[1106,1430,theory(equality)]) ).

cnf(1437,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | n4 != sum(n19,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1434,696,theory(equality)]),254,theory(equality)]),675,theory(equality)]),615,theory(equality)]),613,theory(equality)]) ).

cnf(1438,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1437,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),252,theory(equality)]) ).

cnf(1439,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[1438,theory(equality)]) ).

cnf(1442,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | sum(sum(n19,succ(n2)),sum(pred(n2),n0)) != sum(n19,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[1106,1439,theory(equality)]) ).

cnf(1445,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | n2 != sum(n19,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1442,697,theory(equality)]),255,theory(equality)]),676,theory(equality)]),636,theory(equality)]),635,theory(equality)]) ).

cnf(1446,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1445,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),254,theory(equality)]) ).

cnf(1447,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1446,theory(equality)]) ).

cnf(1449,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | sum(sum(n19,succ(n1)),sum(pred(n1),n0)) != sum(n19,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[1106,1447,theory(equality)]) ).

cnf(1452,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | n0 != sum(n19,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1449,698,theory(equality)]),256,theory(equality)]),677,theory(equality)]),657,theory(equality)]),657,theory(equality)]) ).

cnf(1453,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1452,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),256,theory(equality)]) ).

cnf(1454,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19 ),
    inference(cn,[status(thm)],[1453,theory(equality)]) ).

cnf(1496,plain,
    ( esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n19),succ(esk2_0)),sum(pred(esk2_0),succ(n19))) != sum(sum(pred(n19),succ(n19)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,1454,theory(equality)]) ).

cnf(1497,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n19),n1),sum(n20,succ(n19))) != sum(sum(pred(n19),succ(n19)),n0) ),
    inference(spm,[status(thm)],[745,1454,theory(equality)]) ).

cnf(1498,plain,
    ( esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n18,succ(esk2_0)),sum(pred(esk2_0),n20)) != sum(sum(pred(n19),succ(n19)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[1496,659,theory(equality)]),680,theory(equality)]) ).

cnf(1499,plain,
    ( esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n18,succ(esk2_0)),sum(pred(esk2_0),n20)) != sum(n17,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1498,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]) ).

cnf(1500,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n17 != sum(sum(pred(n19),succ(n19)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1497,659,theory(equality)]),278,theory(equality)]),680,theory(equality)]),217,theory(equality)]),239,theory(equality)]) ).

cnf(1501,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1500,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),300,theory(equality)]) ).

cnf(1502,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[1501,theory(equality)]) ).

cnf(1527,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n20)),sum(pred(n20),n20)) != sum(n17,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[1499,1502,theory(equality)]) ).

cnf(1530,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n15 != sum(n17,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1527,679,theory(equality)]),279,theory(equality)]),658,theory(equality)]),238,theory(equality)]),261,theory(equality)]) ).

cnf(1531,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1530,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),281,theory(equality)]) ).

cnf(1532,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1531,theory(equality)]) ).

cnf(1552,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n18,succ(n19)),sum(pred(n19),n20)) != sum(n17,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[1499,1532,theory(equality)]) ).

cnf(1555,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n13 != sum(n17,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1552,680,theory(equality)]),259,theory(equality)]),659,theory(equality)]),259,theory(equality)]),283,theory(equality)]) ).

cnf(1556,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1555,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),283,theory(equality)]) ).

cnf(1557,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[1556,theory(equality)]) ).

cnf(1576,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n18)),sum(pred(n18),n20)) != sum(n17,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[1499,1557,theory(equality)]) ).

cnf(1579,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n11 != sum(n17,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1576,681,theory(equality)]),260,theory(equality)]),660,theory(equality)]),280,theory(equality)]),305,theory(equality)]) ).

cnf(1580,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1579,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),285,theory(equality)]) ).

cnf(1581,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1580,theory(equality)]) ).

cnf(1599,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n18,succ(n17)),sum(pred(n17),n20)) != sum(n17,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[1499,1581,theory(equality)]) ).

cnf(1602,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n9 != sum(n17,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1599,682,theory(equality)]),261,theory(equality)]),661,theory(equality)]),301,theory(equality)]),327,theory(equality)]) ).

cnf(1603,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1602,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),287,theory(equality)]) ).

cnf(1604,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[1603,theory(equality)]) ).

cnf(1621,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n16)),sum(pred(n16),n20)) != sum(n17,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[1499,1604,theory(equality)]) ).

cnf(1624,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n7 != sum(n17,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1621,683,theory(equality)]),262,theory(equality)]),662,theory(equality)]),322,theory(equality)]),349,theory(equality)]) ).

cnf(1625,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1624,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),289,theory(equality)]) ).

cnf(1626,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1625,theory(equality)]) ).

cnf(1642,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n18,succ(n15)),sum(pred(n15),n20)) != sum(n17,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[1499,1626,theory(equality)]) ).

cnf(1645,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n5 != sum(n17,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1642,684,theory(equality)]),263,theory(equality)]),663,theory(equality)]),343,theory(equality)]),371,theory(equality)]) ).

cnf(1646,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1645,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),291,theory(equality)]) ).

cnf(1647,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[1646,theory(equality)]) ).

cnf(1667,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n14)),sum(pred(n14),n20)) != sum(n17,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[1499,1647,theory(equality)]) ).

cnf(1670,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n3 != sum(n17,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1667,685,theory(equality)]),264,theory(equality)]),664,theory(equality)]),364,theory(equality)]),393,theory(equality)]) ).

cnf(1671,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1670,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),293,theory(equality)]) ).

cnf(1672,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1671,theory(equality)]) ).

cnf(1686,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n18,succ(n13)),sum(pred(n13),n20)) != sum(n17,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[1499,1672,theory(equality)]) ).

cnf(1689,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n1 != sum(n17,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1686,686,theory(equality)]),265,theory(equality)]),665,theory(equality)]),385,theory(equality)]),415,theory(equality)]) ).

cnf(1690,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1689,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),295,theory(equality)]) ).

cnf(1691,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[1690,theory(equality)]) ).

cnf(1704,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n12)),sum(pred(n12),n20)) != sum(n17,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[1499,1691,theory(equality)]) ).

cnf(1707,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n17,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1704,687,theory(equality)]),266,theory(equality)]),666,theory(equality)]),406,theory(equality)]),437,theory(equality)]) ).

cnf(1708,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1707,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),297,theory(equality)]) ).

cnf(1709,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1708,theory(equality)]) ).

cnf(1721,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n18,succ(n11)),sum(pred(n11),n20)) != sum(n17,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[1499,1709,theory(equality)]) ).

cnf(1724,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n18 != sum(n17,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1721,688,theory(equality)]),267,theory(equality)]),667,theory(equality)]),427,theory(equality)]),459,theory(equality)]) ).

cnf(1725,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1724,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),299,theory(equality)]) ).

cnf(1726,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[1725,theory(equality)]) ).

cnf(1737,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n10)),sum(pred(n10),n20)) != sum(n17,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[1499,1726,theory(equality)]) ).

cnf(1740,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n17,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1737,689,theory(equality)]),268,theory(equality)]),668,theory(equality)]),448,theory(equality)]),481,theory(equality)]) ).

cnf(1741,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1740,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),280,theory(equality)]) ).

cnf(1742,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1741,theory(equality)]) ).

cnf(1752,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n18,succ(n9)),sum(pred(n9),n20)) != sum(n17,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[1499,1742,theory(equality)]) ).

cnf(1755,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n14 != sum(n17,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1752,690,theory(equality)]),269,theory(equality)]),669,theory(equality)]),469,theory(equality)]),503,theory(equality)]) ).

cnf(1756,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1755,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),282,theory(equality)]) ).

cnf(1757,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[1756,theory(equality)]) ).

cnf(1766,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n8)),sum(pred(n8),n20)) != sum(n17,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[1499,1757,theory(equality)]) ).

cnf(1769,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n17,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1766,691,theory(equality)]),270,theory(equality)]),670,theory(equality)]),490,theory(equality)]),525,theory(equality)]) ).

cnf(1770,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1769,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),284,theory(equality)]) ).

cnf(1771,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1770,theory(equality)]) ).

cnf(1779,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n18,succ(n7)),sum(pred(n7),n20)) != sum(n17,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[1499,1771,theory(equality)]) ).

cnf(1782,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n10 != sum(n17,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1779,692,theory(equality)]),271,theory(equality)]),671,theory(equality)]),511,theory(equality)]),547,theory(equality)]) ).

cnf(1783,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1782,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),286,theory(equality)]) ).

cnf(1784,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[1783,theory(equality)]) ).

cnf(1791,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n6)),sum(pred(n6),n20)) != sum(n17,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[1499,1784,theory(equality)]) ).

cnf(1794,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n17,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1791,693,theory(equality)]),272,theory(equality)]),672,theory(equality)]),532,theory(equality)]),569,theory(equality)]) ).

cnf(1795,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1794,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),288,theory(equality)]) ).

cnf(1796,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1795,theory(equality)]) ).

cnf(1802,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n18,succ(n5)),sum(pred(n5),n20)) != sum(n17,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[1499,1796,theory(equality)]) ).

cnf(1805,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n6 != sum(n17,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1802,694,theory(equality)]),273,theory(equality)]),673,theory(equality)]),553,theory(equality)]),591,theory(equality)]) ).

cnf(1806,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1805,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),290,theory(equality)]) ).

cnf(1807,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[1806,theory(equality)]) ).

cnf(1812,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n4)),sum(pred(n4),n20)) != sum(n17,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[1499,1807,theory(equality)]) ).

cnf(1815,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n17,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1812,695,theory(equality)]),274,theory(equality)]),674,theory(equality)]),574,theory(equality)]),613,theory(equality)]) ).

cnf(1816,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1815,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),292,theory(equality)]) ).

cnf(1817,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1816,theory(equality)]) ).

cnf(1821,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n18,succ(n3)),sum(pred(n3),n20)) != sum(n17,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[1499,1817,theory(equality)]) ).

cnf(1824,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | n2 != sum(n17,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1821,696,theory(equality)]),275,theory(equality)]),675,theory(equality)]),595,theory(equality)]),635,theory(equality)]) ).

cnf(1825,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1824,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),294,theory(equality)]) ).

cnf(1826,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[1825,theory(equality)]) ).

cnf(1829,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | sum(sum(n18,succ(n2)),sum(pred(n2),n20)) != sum(n17,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[1499,1826,theory(equality)]) ).

cnf(1832,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | n0 != sum(n17,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1829,697,theory(equality)]),276,theory(equality)]),676,theory(equality)]),616,theory(equality)]),657,theory(equality)]) ).

cnf(1833,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1832,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),296,theory(equality)]) ).

cnf(1834,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1833,theory(equality)]) ).

cnf(1836,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | sum(sum(n18,succ(n1)),sum(pred(n1),n20)) != sum(n17,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[1499,1834,theory(equality)]) ).

cnf(1839,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | n19 != sum(n17,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1836,698,theory(equality)]),277,theory(equality)]),677,theory(equality)]),637,theory(equality)]),217,theory(equality)]) ).

cnf(1840,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1839,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),298,theory(equality)]) ).

cnf(1841,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18 ),
    inference(cn,[status(thm)],[1840,theory(equality)]) ).

cnf(1859,plain,
    ( esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n18),succ(esk2_0)),sum(pred(esk2_0),succ(n18))) != sum(sum(pred(n18),succ(n18)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,1841,theory(equality)]) ).

cnf(1860,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n18),n1),sum(n20,succ(n18))) != sum(sum(pred(n18),succ(n18)),n0) ),
    inference(spm,[status(thm)],[745,1841,theory(equality)]) ).

cnf(1861,plain,
    ( esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n17,succ(esk2_0)),sum(pred(esk2_0),n19)) != sum(sum(pred(n18),succ(n18)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[1859,660,theory(equality)]),681,theory(equality)]) ).

cnf(1862,plain,
    ( esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n17,succ(esk2_0)),sum(pred(esk2_0),n19)) != sum(n15,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1861,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]) ).

cnf(1863,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n15 != sum(sum(pred(n18),succ(n18)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1860,660,theory(equality)]),299,theory(equality)]),681,theory(equality)]),218,theory(equality)]),261,theory(equality)]) ).

cnf(1864,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1863,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),342,theory(equality)]) ).

cnf(1865,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[1864,theory(equality)]) ).

cnf(1890,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n20)),sum(pred(n20),n19)) != sum(n15,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[1862,1865,theory(equality)]) ).

cnf(1893,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n13 != sum(n15,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1890,679,theory(equality)]),300,theory(equality)]),658,theory(equality)]),239,theory(equality)]),283,theory(equality)]) ).

cnf(1894,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1893,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),323,theory(equality)]) ).

cnf(1895,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1894,theory(equality)]) ).

cnf(1915,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n17,succ(n19)),sum(pred(n19),n19)) != sum(n15,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[1862,1895,theory(equality)]) ).

cnf(1918,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n11 != sum(n15,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1915,680,theory(equality)]),280,theory(equality)]),659,theory(equality)]),260,theory(equality)]),305,theory(equality)]) ).

cnf(1919,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1918,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),325,theory(equality)]) ).

cnf(1920,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[1919,theory(equality)]) ).

cnf(1939,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n18)),sum(pred(n18),n19)) != sum(n15,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[1862,1920,theory(equality)]) ).

cnf(1942,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n9 != sum(n15,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1939,681,theory(equality)]),281,theory(equality)]),660,theory(equality)]),281,theory(equality)]),327,theory(equality)]) ).

cnf(1943,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1942,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),327,theory(equality)]) ).

cnf(1944,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1943,theory(equality)]) ).

cnf(1962,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n17,succ(n17)),sum(pred(n17),n19)) != sum(n15,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[1862,1944,theory(equality)]) ).

cnf(1965,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n7 != sum(n15,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1962,682,theory(equality)]),282,theory(equality)]),661,theory(equality)]),302,theory(equality)]),349,theory(equality)]) ).

cnf(1966,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1965,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),329,theory(equality)]) ).

cnf(1967,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[1966,theory(equality)]) ).

cnf(1984,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n16)),sum(pred(n16),n19)) != sum(n15,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[1862,1967,theory(equality)]) ).

cnf(1987,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n5 != sum(n15,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1984,683,theory(equality)]),283,theory(equality)]),662,theory(equality)]),323,theory(equality)]),371,theory(equality)]) ).

cnf(1988,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1987,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),331,theory(equality)]) ).

cnf(1989,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1988,theory(equality)]) ).

cnf(2005,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n17,succ(n15)),sum(pred(n15),n19)) != sum(n15,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[1862,1989,theory(equality)]) ).

cnf(2008,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n3 != sum(n15,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2005,684,theory(equality)]),284,theory(equality)]),663,theory(equality)]),344,theory(equality)]),393,theory(equality)]) ).

cnf(2009,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2008,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),333,theory(equality)]) ).

cnf(2010,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[2009,theory(equality)]) ).

cnf(2025,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n14)),sum(pred(n14),n19)) != sum(n15,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[1862,2010,theory(equality)]) ).

cnf(2028,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n1 != sum(n15,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2025,685,theory(equality)]),285,theory(equality)]),664,theory(equality)]),365,theory(equality)]),415,theory(equality)]) ).

cnf(2029,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2028,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),335,theory(equality)]) ).

cnf(2030,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2029,theory(equality)]) ).

cnf(2044,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n17,succ(n13)),sum(pred(n13),n19)) != sum(n15,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[1862,2030,theory(equality)]) ).

cnf(2047,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n20 != sum(n15,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2044,686,theory(equality)]),286,theory(equality)]),665,theory(equality)]),386,theory(equality)]),437,theory(equality)]) ).

cnf(2048,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2047,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),337,theory(equality)]) ).

cnf(2049,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[2048,theory(equality)]) ).

cnf(2062,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n12)),sum(pred(n12),n19)) != sum(n15,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[1862,2049,theory(equality)]) ).

cnf(2065,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n15,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2062,687,theory(equality)]),287,theory(equality)]),666,theory(equality)]),407,theory(equality)]),459,theory(equality)]) ).

cnf(2066,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2065,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),339,theory(equality)]) ).

cnf(2067,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2066,theory(equality)]) ).

cnf(2079,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n17,succ(n11)),sum(pred(n11),n19)) != sum(n15,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[1862,2067,theory(equality)]) ).

cnf(2082,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n16 != sum(n15,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2079,688,theory(equality)]),288,theory(equality)]),667,theory(equality)]),428,theory(equality)]),481,theory(equality)]) ).

cnf(2083,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2082,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),341,theory(equality)]) ).

cnf(2084,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[2083,theory(equality)]) ).

cnf(2095,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n10)),sum(pred(n10),n19)) != sum(n15,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[1862,2084,theory(equality)]) ).

cnf(2098,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n15,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2095,689,theory(equality)]),289,theory(equality)]),668,theory(equality)]),449,theory(equality)]),503,theory(equality)]) ).

cnf(2099,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2098,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),322,theory(equality)]) ).

cnf(2100,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2099,theory(equality)]) ).

cnf(2110,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n17,succ(n9)),sum(pred(n9),n19)) != sum(n15,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[1862,2100,theory(equality)]) ).

cnf(2113,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n12 != sum(n15,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2110,690,theory(equality)]),290,theory(equality)]),669,theory(equality)]),470,theory(equality)]),525,theory(equality)]) ).

cnf(2114,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2113,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),324,theory(equality)]) ).

cnf(2115,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[2114,theory(equality)]) ).

cnf(2124,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n8)),sum(pred(n8),n19)) != sum(n15,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[1862,2115,theory(equality)]) ).

cnf(2127,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n15,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2124,691,theory(equality)]),291,theory(equality)]),670,theory(equality)]),491,theory(equality)]),547,theory(equality)]) ).

cnf(2128,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2127,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),326,theory(equality)]) ).

cnf(2129,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2128,theory(equality)]) ).

cnf(2137,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n17,succ(n7)),sum(pred(n7),n19)) != sum(n15,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[1862,2129,theory(equality)]) ).

cnf(2140,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n8 != sum(n15,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2137,692,theory(equality)]),292,theory(equality)]),671,theory(equality)]),512,theory(equality)]),569,theory(equality)]) ).

cnf(2141,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2140,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),328,theory(equality)]) ).

cnf(2142,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[2141,theory(equality)]) ).

cnf(2149,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n6)),sum(pred(n6),n19)) != sum(n15,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[1862,2142,theory(equality)]) ).

cnf(2152,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n15,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2149,693,theory(equality)]),293,theory(equality)]),672,theory(equality)]),533,theory(equality)]),591,theory(equality)]) ).

cnf(2153,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2152,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),330,theory(equality)]) ).

cnf(2154,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2153,theory(equality)]) ).

cnf(2160,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n17,succ(n5)),sum(pred(n5),n19)) != sum(n15,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[1862,2154,theory(equality)]) ).

cnf(2163,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n4 != sum(n15,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2160,694,theory(equality)]),294,theory(equality)]),673,theory(equality)]),554,theory(equality)]),613,theory(equality)]) ).

cnf(2164,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2163,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),332,theory(equality)]) ).

cnf(2165,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[2164,theory(equality)]) ).

cnf(2170,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n4)),sum(pred(n4),n19)) != sum(n15,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[1862,2165,theory(equality)]) ).

cnf(2173,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n15,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2170,695,theory(equality)]),295,theory(equality)]),674,theory(equality)]),575,theory(equality)]),635,theory(equality)]) ).

cnf(2174,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2173,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),334,theory(equality)]) ).

cnf(2175,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2174,theory(equality)]) ).

cnf(2179,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n17,succ(n3)),sum(pred(n3),n19)) != sum(n15,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[1862,2175,theory(equality)]) ).

cnf(2182,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | n0 != sum(n15,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2179,696,theory(equality)]),296,theory(equality)]),675,theory(equality)]),596,theory(equality)]),657,theory(equality)]) ).

cnf(2183,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2182,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),336,theory(equality)]) ).

cnf(2184,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[2183,theory(equality)]) ).

cnf(2187,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | sum(sum(n17,succ(n2)),sum(pred(n2),n19)) != sum(n15,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[1862,2184,theory(equality)]) ).

cnf(2190,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | n19 != sum(n15,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2187,697,theory(equality)]),297,theory(equality)]),676,theory(equality)]),617,theory(equality)]),217,theory(equality)]) ).

cnf(2191,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2190,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),338,theory(equality)]) ).

cnf(2192,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2191,theory(equality)]) ).

cnf(2194,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | sum(sum(n17,succ(n1)),sum(pred(n1),n19)) != sum(n15,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[1862,2192,theory(equality)]) ).

cnf(2197,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | n17 != sum(n15,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2194,698,theory(equality)]),298,theory(equality)]),677,theory(equality)]),638,theory(equality)]),239,theory(equality)]) ).

cnf(2198,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2197,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),340,theory(equality)]) ).

cnf(2199,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17 ),
    inference(cn,[status(thm)],[2198,theory(equality)]) ).

cnf(2216,plain,
    ( esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n17),succ(esk2_0)),sum(pred(esk2_0),succ(n17))) != sum(sum(pred(n17),succ(n17)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,2199,theory(equality)]) ).

cnf(2217,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n17),n1),sum(n20,succ(n17))) != sum(sum(pred(n17),succ(n17)),n0) ),
    inference(spm,[status(thm)],[745,2199,theory(equality)]) ).

cnf(2218,plain,
    ( esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n16,succ(esk2_0)),sum(pred(esk2_0),n18)) != sum(sum(pred(n17),succ(n17)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[2216,661,theory(equality)]),682,theory(equality)]) ).

cnf(2219,plain,
    ( esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n16,succ(esk2_0)),sum(pred(esk2_0),n18)) != sum(n13,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2218,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]) ).

cnf(2220,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n13 != sum(sum(pred(n17),succ(n17)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2217,661,theory(equality)]),320,theory(equality)]),682,theory(equality)]),219,theory(equality)]),283,theory(equality)]) ).

cnf(2221,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2220,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),384,theory(equality)]) ).

cnf(2222,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[2221,theory(equality)]) ).

cnf(2247,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n20)),sum(pred(n20),n18)) != sum(n13,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[2219,2222,theory(equality)]) ).

cnf(2250,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n11 != sum(n13,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2247,679,theory(equality)]),321,theory(equality)]),658,theory(equality)]),240,theory(equality)]),305,theory(equality)]) ).

cnf(2251,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2250,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),365,theory(equality)]) ).

cnf(2252,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2251,theory(equality)]) ).

cnf(2272,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n16,succ(n19)),sum(pred(n19),n18)) != sum(n13,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[2219,2252,theory(equality)]) ).

cnf(2275,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n9 != sum(n13,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2272,680,theory(equality)]),301,theory(equality)]),659,theory(equality)]),261,theory(equality)]),327,theory(equality)]) ).

cnf(2276,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2275,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),367,theory(equality)]) ).

cnf(2277,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[2276,theory(equality)]) ).

cnf(2296,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n18)),sum(pred(n18),n18)) != sum(n13,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[2219,2277,theory(equality)]) ).

cnf(2299,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n7 != sum(n13,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2296,681,theory(equality)]),302,theory(equality)]),660,theory(equality)]),282,theory(equality)]),349,theory(equality)]) ).

cnf(2300,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2299,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),369,theory(equality)]) ).

cnf(2301,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2300,theory(equality)]) ).

cnf(2319,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n16,succ(n17)),sum(pred(n17),n18)) != sum(n13,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[2219,2301,theory(equality)]) ).

cnf(2322,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n5 != sum(n13,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2319,682,theory(equality)]),303,theory(equality)]),661,theory(equality)]),303,theory(equality)]),371,theory(equality)]) ).

cnf(2323,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2322,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),371,theory(equality)]) ).

cnf(2324,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[2323,theory(equality)]) ).

cnf(2341,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n16)),sum(pred(n16),n18)) != sum(n13,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[2219,2324,theory(equality)]) ).

cnf(2344,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n3 != sum(n13,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2341,683,theory(equality)]),304,theory(equality)]),662,theory(equality)]),324,theory(equality)]),393,theory(equality)]) ).

cnf(2345,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2344,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),373,theory(equality)]) ).

cnf(2346,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2345,theory(equality)]) ).

cnf(2366,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n16,succ(n15)),sum(pred(n15),n18)) != sum(n13,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[2219,2346,theory(equality)]) ).

cnf(2369,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n1 != sum(n13,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2366,684,theory(equality)]),305,theory(equality)]),663,theory(equality)]),345,theory(equality)]),415,theory(equality)]) ).

cnf(2370,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2369,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),375,theory(equality)]) ).

cnf(2371,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[2370,theory(equality)]) ).

cnf(2386,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n14)),sum(pred(n14),n18)) != sum(n13,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[2219,2371,theory(equality)]) ).

cnf(2389,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n13,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2386,685,theory(equality)]),306,theory(equality)]),664,theory(equality)]),366,theory(equality)]),437,theory(equality)]) ).

cnf(2390,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2389,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),377,theory(equality)]) ).

cnf(2391,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2390,theory(equality)]) ).

cnf(2405,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n16,succ(n13)),sum(pred(n13),n18)) != sum(n13,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[2219,2391,theory(equality)]) ).

cnf(2408,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n18 != sum(n13,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2405,686,theory(equality)]),307,theory(equality)]),665,theory(equality)]),387,theory(equality)]),459,theory(equality)]) ).

cnf(2409,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2408,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),379,theory(equality)]) ).

cnf(2410,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[2409,theory(equality)]) ).

cnf(2423,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n12)),sum(pred(n12),n18)) != sum(n13,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[2219,2410,theory(equality)]) ).

cnf(2426,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n13,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2423,687,theory(equality)]),308,theory(equality)]),666,theory(equality)]),408,theory(equality)]),481,theory(equality)]) ).

cnf(2427,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2426,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),381,theory(equality)]) ).

cnf(2428,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2427,theory(equality)]) ).

cnf(2440,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n16,succ(n11)),sum(pred(n11),n18)) != sum(n13,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[2219,2428,theory(equality)]) ).

cnf(2443,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n14 != sum(n13,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2440,688,theory(equality)]),309,theory(equality)]),667,theory(equality)]),429,theory(equality)]),503,theory(equality)]) ).

cnf(2444,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2443,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),383,theory(equality)]) ).

cnf(2445,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[2444,theory(equality)]) ).

cnf(2456,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n10)),sum(pred(n10),n18)) != sum(n13,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[2219,2445,theory(equality)]) ).

cnf(2459,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n13,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2456,689,theory(equality)]),310,theory(equality)]),668,theory(equality)]),450,theory(equality)]),525,theory(equality)]) ).

cnf(2460,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2459,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),364,theory(equality)]) ).

cnf(2461,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2460,theory(equality)]) ).

cnf(2471,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n16,succ(n9)),sum(pred(n9),n18)) != sum(n13,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[2219,2461,theory(equality)]) ).

cnf(2474,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n10 != sum(n13,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2471,690,theory(equality)]),311,theory(equality)]),669,theory(equality)]),471,theory(equality)]),547,theory(equality)]) ).

cnf(2475,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2474,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),366,theory(equality)]) ).

cnf(2476,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[2475,theory(equality)]) ).

cnf(2485,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n8)),sum(pred(n8),n18)) != sum(n13,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[2219,2476,theory(equality)]) ).

cnf(2488,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n13,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2485,691,theory(equality)]),312,theory(equality)]),670,theory(equality)]),492,theory(equality)]),569,theory(equality)]) ).

cnf(2489,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2488,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),368,theory(equality)]) ).

cnf(2490,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2489,theory(equality)]) ).

cnf(2498,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n16,succ(n7)),sum(pred(n7),n18)) != sum(n13,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[2219,2490,theory(equality)]) ).

cnf(2501,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n6 != sum(n13,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2498,692,theory(equality)]),313,theory(equality)]),671,theory(equality)]),513,theory(equality)]),591,theory(equality)]) ).

cnf(2502,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2501,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),370,theory(equality)]) ).

cnf(2503,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[2502,theory(equality)]) ).

cnf(2510,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n6)),sum(pred(n6),n18)) != sum(n13,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[2219,2503,theory(equality)]) ).

cnf(2513,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n13,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2510,693,theory(equality)]),314,theory(equality)]),672,theory(equality)]),534,theory(equality)]),613,theory(equality)]) ).

cnf(2514,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2513,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),372,theory(equality)]) ).

cnf(2515,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2514,theory(equality)]) ).

cnf(2521,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n16,succ(n5)),sum(pred(n5),n18)) != sum(n13,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[2219,2515,theory(equality)]) ).

cnf(2524,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n2 != sum(n13,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2521,694,theory(equality)]),315,theory(equality)]),673,theory(equality)]),555,theory(equality)]),635,theory(equality)]) ).

cnf(2525,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2524,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),374,theory(equality)]) ).

cnf(2526,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[2525,theory(equality)]) ).

cnf(2531,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n4)),sum(pred(n4),n18)) != sum(n13,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[2219,2526,theory(equality)]) ).

cnf(2534,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n13,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2531,695,theory(equality)]),316,theory(equality)]),674,theory(equality)]),576,theory(equality)]),657,theory(equality)]) ).

cnf(2535,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2534,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),376,theory(equality)]) ).

cnf(2536,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2535,theory(equality)]) ).

cnf(2540,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n16,succ(n3)),sum(pred(n3),n18)) != sum(n13,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[2219,2536,theory(equality)]) ).

cnf(2543,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | n19 != sum(n13,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2540,696,theory(equality)]),317,theory(equality)]),675,theory(equality)]),597,theory(equality)]),217,theory(equality)]) ).

cnf(2544,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2543,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),378,theory(equality)]) ).

cnf(2545,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[2544,theory(equality)]) ).

cnf(2548,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | sum(sum(n16,succ(n2)),sum(pred(n2),n18)) != sum(n13,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[2219,2545,theory(equality)]) ).

cnf(2551,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | n17 != sum(n13,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2548,697,theory(equality)]),318,theory(equality)]),676,theory(equality)]),618,theory(equality)]),239,theory(equality)]) ).

cnf(2552,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2551,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),380,theory(equality)]) ).

cnf(2553,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2552,theory(equality)]) ).

cnf(2555,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | sum(sum(n16,succ(n1)),sum(pred(n1),n18)) != sum(n13,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[2219,2553,theory(equality)]) ).

cnf(2558,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | n15 != sum(n13,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2555,698,theory(equality)]),319,theory(equality)]),677,theory(equality)]),639,theory(equality)]),261,theory(equality)]) ).

cnf(2559,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2558,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),382,theory(equality)]) ).

cnf(2560,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16 ),
    inference(cn,[status(thm)],[2559,theory(equality)]) ).

cnf(2576,plain,
    ( esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n16),succ(esk2_0)),sum(pred(esk2_0),succ(n16))) != sum(sum(pred(n16),succ(n16)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,2560,theory(equality)]) ).

cnf(2577,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n16),n1),sum(n20,succ(n16))) != sum(sum(pred(n16),succ(n16)),n0) ),
    inference(spm,[status(thm)],[745,2560,theory(equality)]) ).

cnf(2578,plain,
    ( esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n15,succ(esk2_0)),sum(pred(esk2_0),n17)) != sum(sum(pred(n16),succ(n16)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[2576,662,theory(equality)]),683,theory(equality)]) ).

cnf(2579,plain,
    ( esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n15,succ(esk2_0)),sum(pred(esk2_0),n17)) != sum(n11,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2578,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]) ).

cnf(2580,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n11 != sum(sum(pred(n16),succ(n16)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2577,662,theory(equality)]),341,theory(equality)]),683,theory(equality)]),220,theory(equality)]),305,theory(equality)]) ).

cnf(2581,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2580,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),426,theory(equality)]) ).

cnf(2582,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[2581,theory(equality)]) ).

cnf(2607,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n20)),sum(pred(n20),n17)) != sum(n11,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[2579,2582,theory(equality)]) ).

cnf(2610,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n9 != sum(n11,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2607,679,theory(equality)]),342,theory(equality)]),658,theory(equality)]),241,theory(equality)]),327,theory(equality)]) ).

cnf(2611,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2610,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),407,theory(equality)]) ).

cnf(2612,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2611,theory(equality)]) ).

cnf(2632,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n15,succ(n19)),sum(pred(n19),n17)) != sum(n11,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[2579,2612,theory(equality)]) ).

cnf(2635,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n7 != sum(n11,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2632,680,theory(equality)]),322,theory(equality)]),659,theory(equality)]),262,theory(equality)]),349,theory(equality)]) ).

cnf(2636,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2635,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),409,theory(equality)]) ).

cnf(2637,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[2636,theory(equality)]) ).

cnf(2657,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n18)),sum(pred(n18),n17)) != sum(n11,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[2579,2637,theory(equality)]) ).

cnf(2660,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n5 != sum(n11,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2657,681,theory(equality)]),323,theory(equality)]),660,theory(equality)]),283,theory(equality)]),371,theory(equality)]) ).

cnf(2661,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2660,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),411,theory(equality)]) ).

cnf(2662,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2661,theory(equality)]) ).

cnf(2680,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n15,succ(n17)),sum(pred(n17),n17)) != sum(n11,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[2579,2662,theory(equality)]) ).

cnf(2683,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n3 != sum(n11,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2680,682,theory(equality)]),324,theory(equality)]),661,theory(equality)]),304,theory(equality)]),393,theory(equality)]) ).

cnf(2684,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2683,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),413,theory(equality)]) ).

cnf(2685,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[2684,theory(equality)]) ).

cnf(2702,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n16)),sum(pred(n16),n17)) != sum(n11,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[2579,2685,theory(equality)]) ).

cnf(2705,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n1 != sum(n11,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2702,683,theory(equality)]),325,theory(equality)]),662,theory(equality)]),325,theory(equality)]),415,theory(equality)]) ).

cnf(2706,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2705,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),415,theory(equality)]) ).

cnf(2707,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2706,theory(equality)]) ).

cnf(2723,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n15,succ(n15)),sum(pred(n15),n17)) != sum(n11,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[2579,2707,theory(equality)]) ).

cnf(2726,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n20 != sum(n11,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2723,684,theory(equality)]),326,theory(equality)]),663,theory(equality)]),346,theory(equality)]),437,theory(equality)]) ).

cnf(2727,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2726,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),417,theory(equality)]) ).

cnf(2728,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[2727,theory(equality)]) ).

cnf(2743,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n14)),sum(pred(n14),n17)) != sum(n11,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[2579,2728,theory(equality)]) ).

cnf(2746,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n11,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2743,685,theory(equality)]),327,theory(equality)]),664,theory(equality)]),367,theory(equality)]),459,theory(equality)]) ).

cnf(2747,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2746,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),419,theory(equality)]) ).

cnf(2748,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2747,theory(equality)]) ).

cnf(2762,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n15,succ(n13)),sum(pred(n13),n17)) != sum(n11,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[2579,2748,theory(equality)]) ).

cnf(2765,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n16 != sum(n11,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2762,686,theory(equality)]),328,theory(equality)]),665,theory(equality)]),388,theory(equality)]),481,theory(equality)]) ).

cnf(2766,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2765,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),421,theory(equality)]) ).

cnf(2767,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[2766,theory(equality)]) ).

cnf(2780,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n12)),sum(pred(n12),n17)) != sum(n11,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[2579,2767,theory(equality)]) ).

cnf(2783,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n11,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2780,687,theory(equality)]),329,theory(equality)]),666,theory(equality)]),409,theory(equality)]),503,theory(equality)]) ).

cnf(2784,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2783,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),423,theory(equality)]) ).

cnf(2785,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2784,theory(equality)]) ).

cnf(2797,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n15,succ(n11)),sum(pred(n11),n17)) != sum(n11,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[2579,2785,theory(equality)]) ).

cnf(2800,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n12 != sum(n11,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2797,688,theory(equality)]),330,theory(equality)]),667,theory(equality)]),430,theory(equality)]),525,theory(equality)]) ).

cnf(2801,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2800,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),425,theory(equality)]) ).

cnf(2802,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[2801,theory(equality)]) ).

cnf(2813,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n10)),sum(pred(n10),n17)) != sum(n11,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[2579,2802,theory(equality)]) ).

cnf(2816,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n11,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2813,689,theory(equality)]),331,theory(equality)]),668,theory(equality)]),451,theory(equality)]),547,theory(equality)]) ).

cnf(2817,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2816,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),406,theory(equality)]) ).

cnf(2818,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2817,theory(equality)]) ).

cnf(2828,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n15,succ(n9)),sum(pred(n9),n17)) != sum(n11,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[2579,2818,theory(equality)]) ).

cnf(2831,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n8 != sum(n11,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2828,690,theory(equality)]),332,theory(equality)]),669,theory(equality)]),472,theory(equality)]),569,theory(equality)]) ).

cnf(2832,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2831,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),408,theory(equality)]) ).

cnf(2833,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[2832,theory(equality)]) ).

cnf(2842,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n8)),sum(pred(n8),n17)) != sum(n11,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[2579,2833,theory(equality)]) ).

cnf(2845,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n11,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2842,691,theory(equality)]),333,theory(equality)]),670,theory(equality)]),493,theory(equality)]),591,theory(equality)]) ).

cnf(2846,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2845,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),410,theory(equality)]) ).

cnf(2847,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2846,theory(equality)]) ).

cnf(2855,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n15,succ(n7)),sum(pred(n7),n17)) != sum(n11,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[2579,2847,theory(equality)]) ).

cnf(2858,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n4 != sum(n11,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2855,692,theory(equality)]),334,theory(equality)]),671,theory(equality)]),514,theory(equality)]),613,theory(equality)]) ).

cnf(2859,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2858,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),412,theory(equality)]) ).

cnf(2860,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[2859,theory(equality)]) ).

cnf(2867,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n6)),sum(pred(n6),n17)) != sum(n11,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[2579,2860,theory(equality)]) ).

cnf(2870,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n11,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2867,693,theory(equality)]),335,theory(equality)]),672,theory(equality)]),535,theory(equality)]),635,theory(equality)]) ).

cnf(2871,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2870,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),414,theory(equality)]) ).

cnf(2872,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2871,theory(equality)]) ).

cnf(2878,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n15,succ(n5)),sum(pred(n5),n17)) != sum(n11,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[2579,2872,theory(equality)]) ).

cnf(2881,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n0 != sum(n11,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2878,694,theory(equality)]),336,theory(equality)]),673,theory(equality)]),556,theory(equality)]),657,theory(equality)]) ).

cnf(2882,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2881,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),416,theory(equality)]) ).

cnf(2883,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[2882,theory(equality)]) ).

cnf(2888,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n4)),sum(pred(n4),n17)) != sum(n11,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[2579,2883,theory(equality)]) ).

cnf(2891,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n19 != sum(n11,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2888,695,theory(equality)]),337,theory(equality)]),674,theory(equality)]),577,theory(equality)]),217,theory(equality)]) ).

cnf(2892,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2891,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),418,theory(equality)]) ).

cnf(2893,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2892,theory(equality)]) ).

cnf(2897,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n15,succ(n3)),sum(pred(n3),n17)) != sum(n11,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[2579,2893,theory(equality)]) ).

cnf(2900,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | n17 != sum(n11,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2897,696,theory(equality)]),338,theory(equality)]),675,theory(equality)]),598,theory(equality)]),239,theory(equality)]) ).

cnf(2901,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2900,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),420,theory(equality)]) ).

cnf(2902,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[2901,theory(equality)]) ).

cnf(2905,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | sum(sum(n15,succ(n2)),sum(pred(n2),n17)) != sum(n11,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[2579,2902,theory(equality)]) ).

cnf(2908,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | n15 != sum(n11,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2905,697,theory(equality)]),339,theory(equality)]),676,theory(equality)]),619,theory(equality)]),261,theory(equality)]) ).

cnf(2909,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2908,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),422,theory(equality)]) ).

cnf(2910,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2909,theory(equality)]) ).

cnf(2912,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | sum(sum(n15,succ(n1)),sum(pred(n1),n17)) != sum(n11,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[2579,2910,theory(equality)]) ).

cnf(2915,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | n13 != sum(n11,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2912,698,theory(equality)]),340,theory(equality)]),677,theory(equality)]),640,theory(equality)]),283,theory(equality)]) ).

cnf(2916,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2915,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),424,theory(equality)]) ).

cnf(2917,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(cn,[status(thm)],[2916,theory(equality)]) ).

cnf(2932,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n15),succ(esk2_0)),sum(pred(esk2_0),succ(n15))) != sum(sum(pred(n15),succ(n15)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,2917,theory(equality)]) ).

cnf(2933,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n15),n1),sum(n20,succ(n15))) != sum(sum(pred(n15),succ(n15)),n0) ),
    inference(spm,[status(thm)],[745,2917,theory(equality)]) ).

cnf(2934,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n14,succ(esk2_0)),sum(pred(esk2_0),n16)) != sum(sum(pred(n15),succ(n15)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[2932,663,theory(equality)]),684,theory(equality)]) ).

cnf(2935,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n14,succ(esk2_0)),sum(pred(esk2_0),n16)) != sum(n9,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2934,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]) ).

cnf(2936,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n9 != sum(sum(pred(n15),succ(n15)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2933,663,theory(equality)]),362,theory(equality)]),684,theory(equality)]),221,theory(equality)]),327,theory(equality)]) ).

cnf(2937,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2936,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),468,theory(equality)]) ).

cnf(2938,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[2937,theory(equality)]) ).

cnf(2963,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n20)),sum(pred(n20),n16)) != sum(n9,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[2935,2938,theory(equality)]) ).

cnf(2966,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n7 != sum(n9,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2963,679,theory(equality)]),363,theory(equality)]),658,theory(equality)]),242,theory(equality)]),349,theory(equality)]) ).

cnf(2967,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2966,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),449,theory(equality)]) ).

cnf(2968,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2967,theory(equality)]) ).

cnf(2988,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n14,succ(n19)),sum(pred(n19),n16)) != sum(n9,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[2935,2968,theory(equality)]) ).

cnf(2991,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n5 != sum(n9,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2988,680,theory(equality)]),343,theory(equality)]),659,theory(equality)]),263,theory(equality)]),371,theory(equality)]) ).

cnf(2992,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2991,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),451,theory(equality)]) ).

cnf(2993,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[2992,theory(equality)]) ).

cnf(3012,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n18)),sum(pred(n18),n16)) != sum(n9,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[2935,2993,theory(equality)]) ).

cnf(3015,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n3 != sum(n9,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3012,681,theory(equality)]),344,theory(equality)]),660,theory(equality)]),284,theory(equality)]),393,theory(equality)]) ).

cnf(3016,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3015,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),453,theory(equality)]) ).

cnf(3017,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3016,theory(equality)]) ).

cnf(3035,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n14,succ(n17)),sum(pred(n17),n16)) != sum(n9,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[2935,3017,theory(equality)]) ).

cnf(3038,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n1 != sum(n9,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3035,682,theory(equality)]),345,theory(equality)]),661,theory(equality)]),305,theory(equality)]),415,theory(equality)]) ).

cnf(3039,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3038,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),455,theory(equality)]) ).

cnf(3040,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[3039,theory(equality)]) ).

cnf(3057,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n16)),sum(pred(n16),n16)) != sum(n9,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[2935,3040,theory(equality)]) ).

cnf(3060,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n9,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3057,683,theory(equality)]),346,theory(equality)]),662,theory(equality)]),326,theory(equality)]),437,theory(equality)]) ).

cnf(3061,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3060,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),457,theory(equality)]) ).

cnf(3062,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3061,theory(equality)]) ).

cnf(3078,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n14,succ(n15)),sum(pred(n15),n16)) != sum(n9,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[2935,3062,theory(equality)]) ).

cnf(3081,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n18 != sum(n9,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3078,684,theory(equality)]),347,theory(equality)]),663,theory(equality)]),347,theory(equality)]),459,theory(equality)]) ).

cnf(3082,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3081,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),459,theory(equality)]) ).

cnf(3083,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[3082,theory(equality)]) ).

cnf(3098,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n14)),sum(pred(n14),n16)) != sum(n9,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[2935,3083,theory(equality)]) ).

cnf(3101,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n9,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3098,685,theory(equality)]),348,theory(equality)]),664,theory(equality)]),368,theory(equality)]),481,theory(equality)]) ).

cnf(3102,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3101,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),461,theory(equality)]) ).

cnf(3103,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3102,theory(equality)]) ).

cnf(3117,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n14,succ(n13)),sum(pred(n13),n16)) != sum(n9,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[2935,3103,theory(equality)]) ).

cnf(3120,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n14 != sum(n9,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3117,686,theory(equality)]),349,theory(equality)]),665,theory(equality)]),389,theory(equality)]),503,theory(equality)]) ).

cnf(3121,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3120,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),463,theory(equality)]) ).

cnf(3122,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[3121,theory(equality)]) ).

cnf(3142,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n12)),sum(pred(n12),n16)) != sum(n9,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[2935,3122,theory(equality)]) ).

cnf(3145,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n9,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3142,687,theory(equality)]),350,theory(equality)]),666,theory(equality)]),410,theory(equality)]),525,theory(equality)]) ).

cnf(3146,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3145,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),465,theory(equality)]) ).

cnf(3147,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3146,theory(equality)]) ).

cnf(3159,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n14,succ(n11)),sum(pred(n11),n16)) != sum(n9,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[2935,3147,theory(equality)]) ).

cnf(3162,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n10 != sum(n9,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3159,688,theory(equality)]),351,theory(equality)]),667,theory(equality)]),431,theory(equality)]),547,theory(equality)]) ).

cnf(3163,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3162,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),467,theory(equality)]) ).

cnf(3164,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[3163,theory(equality)]) ).

cnf(3175,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n10)),sum(pred(n10),n16)) != sum(n9,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[2935,3164,theory(equality)]) ).

cnf(3178,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n9,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3175,689,theory(equality)]),352,theory(equality)]),668,theory(equality)]),452,theory(equality)]),569,theory(equality)]) ).

cnf(3179,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3178,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),448,theory(equality)]) ).

cnf(3180,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3179,theory(equality)]) ).

cnf(3190,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n14,succ(n9)),sum(pred(n9),n16)) != sum(n9,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[2935,3180,theory(equality)]) ).

cnf(3193,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n6 != sum(n9,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3190,690,theory(equality)]),353,theory(equality)]),669,theory(equality)]),473,theory(equality)]),591,theory(equality)]) ).

cnf(3194,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3193,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),450,theory(equality)]) ).

cnf(3195,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[3194,theory(equality)]) ).

cnf(3204,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n8)),sum(pred(n8),n16)) != sum(n9,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[2935,3195,theory(equality)]) ).

cnf(3207,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n9,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3204,691,theory(equality)]),354,theory(equality)]),670,theory(equality)]),494,theory(equality)]),613,theory(equality)]) ).

cnf(3208,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3207,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),452,theory(equality)]) ).

cnf(3209,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3208,theory(equality)]) ).

cnf(3217,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n14,succ(n7)),sum(pred(n7),n16)) != sum(n9,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[2935,3209,theory(equality)]) ).

cnf(3220,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n2 != sum(n9,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3217,692,theory(equality)]),355,theory(equality)]),671,theory(equality)]),515,theory(equality)]),635,theory(equality)]) ).

cnf(3221,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3220,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),454,theory(equality)]) ).

cnf(3222,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[3221,theory(equality)]) ).

cnf(3229,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n6)),sum(pred(n6),n16)) != sum(n9,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[2935,3222,theory(equality)]) ).

cnf(3232,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n9,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3229,693,theory(equality)]),356,theory(equality)]),672,theory(equality)]),536,theory(equality)]),657,theory(equality)]) ).

cnf(3233,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3232,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),456,theory(equality)]) ).

cnf(3234,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3233,theory(equality)]) ).

cnf(3240,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n14,succ(n5)),sum(pred(n5),n16)) != sum(n9,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[2935,3234,theory(equality)]) ).

cnf(3243,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n19 != sum(n9,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3240,694,theory(equality)]),357,theory(equality)]),673,theory(equality)]),557,theory(equality)]),217,theory(equality)]) ).

cnf(3244,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3243,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),458,theory(equality)]) ).

cnf(3245,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[3244,theory(equality)]) ).

cnf(3250,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n4)),sum(pred(n4),n16)) != sum(n9,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[2935,3245,theory(equality)]) ).

cnf(3253,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n17 != sum(n9,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3250,695,theory(equality)]),358,theory(equality)]),674,theory(equality)]),578,theory(equality)]),239,theory(equality)]) ).

cnf(3254,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3253,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),460,theory(equality)]) ).

cnf(3255,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3254,theory(equality)]) ).

cnf(3259,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n14,succ(n3)),sum(pred(n3),n16)) != sum(n9,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[2935,3255,theory(equality)]) ).

cnf(3262,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | n15 != sum(n9,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3259,696,theory(equality)]),359,theory(equality)]),675,theory(equality)]),599,theory(equality)]),261,theory(equality)]) ).

cnf(3263,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3262,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),462,theory(equality)]) ).

cnf(3264,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[3263,theory(equality)]) ).

cnf(3267,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | sum(sum(n14,succ(n2)),sum(pred(n2),n16)) != sum(n9,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[2935,3264,theory(equality)]) ).

cnf(3270,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | n13 != sum(n9,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3267,697,theory(equality)]),360,theory(equality)]),676,theory(equality)]),620,theory(equality)]),283,theory(equality)]) ).

cnf(3271,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3270,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),464,theory(equality)]) ).

cnf(3272,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3271,theory(equality)]) ).

cnf(3274,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | sum(sum(n14,succ(n1)),sum(pred(n1),n16)) != sum(n9,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[2935,3272,theory(equality)]) ).

cnf(3277,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | n11 != sum(n9,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3274,698,theory(equality)]),361,theory(equality)]),677,theory(equality)]),641,theory(equality)]),305,theory(equality)]) ).

cnf(3278,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3277,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),466,theory(equality)]) ).

cnf(3279,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14 ),
    inference(cn,[status(thm)],[3278,theory(equality)]) ).

cnf(3293,plain,
    ( esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n14),succ(esk2_0)),sum(pred(esk2_0),succ(n14))) != sum(sum(pred(n14),succ(n14)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,3279,theory(equality)]) ).

cnf(3294,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n14),n1),sum(n20,succ(n14))) != sum(sum(pred(n14),succ(n14)),n0) ),
    inference(spm,[status(thm)],[745,3279,theory(equality)]) ).

cnf(3295,plain,
    ( esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n13,succ(esk2_0)),sum(pred(esk2_0),n15)) != sum(sum(pred(n14),succ(n14)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[3293,664,theory(equality)]),685,theory(equality)]) ).

cnf(3296,plain,
    ( esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n13,succ(esk2_0)),sum(pred(esk2_0),n15)) != sum(n7,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3295,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]) ).

cnf(3297,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n7 != sum(sum(pred(n14),succ(n14)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3294,664,theory(equality)]),383,theory(equality)]),685,theory(equality)]),222,theory(equality)]),349,theory(equality)]) ).

cnf(3298,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3297,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),510,theory(equality)]) ).

cnf(3299,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[3298,theory(equality)]) ).

cnf(3324,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n20)),sum(pred(n20),n15)) != sum(n7,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[3296,3299,theory(equality)]) ).

cnf(3327,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n5 != sum(n7,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3324,679,theory(equality)]),384,theory(equality)]),658,theory(equality)]),243,theory(equality)]),371,theory(equality)]) ).

cnf(3328,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3327,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),491,theory(equality)]) ).

cnf(3329,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3328,theory(equality)]) ).

cnf(3349,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n13,succ(n19)),sum(pred(n19),n15)) != sum(n7,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[3296,3329,theory(equality)]) ).

cnf(3352,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n3 != sum(n7,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3349,680,theory(equality)]),364,theory(equality)]),659,theory(equality)]),264,theory(equality)]),393,theory(equality)]) ).

cnf(3353,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3352,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),493,theory(equality)]) ).

cnf(3354,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[3353,theory(equality)]) ).

cnf(3373,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n18)),sum(pred(n18),n15)) != sum(n7,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[3296,3354,theory(equality)]) ).

cnf(3376,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n1 != sum(n7,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3373,681,theory(equality)]),365,theory(equality)]),660,theory(equality)]),285,theory(equality)]),415,theory(equality)]) ).

cnf(3377,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3376,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),495,theory(equality)]) ).

cnf(3378,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3377,theory(equality)]) ).

cnf(3396,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n13,succ(n17)),sum(pred(n17),n15)) != sum(n7,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[3296,3378,theory(equality)]) ).

cnf(3399,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n20 != sum(n7,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3396,682,theory(equality)]),366,theory(equality)]),661,theory(equality)]),306,theory(equality)]),437,theory(equality)]) ).

cnf(3400,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3399,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),497,theory(equality)]) ).

cnf(3401,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[3400,theory(equality)]) ).

cnf(3418,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n16)),sum(pred(n16),n15)) != sum(n7,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[3296,3401,theory(equality)]) ).

cnf(3421,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n7,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3418,683,theory(equality)]),367,theory(equality)]),662,theory(equality)]),327,theory(equality)]),459,theory(equality)]) ).

cnf(3422,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3421,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),499,theory(equality)]) ).

cnf(3423,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3422,theory(equality)]) ).

cnf(3439,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n13,succ(n15)),sum(pred(n15),n15)) != sum(n7,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[3296,3423,theory(equality)]) ).

cnf(3442,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n16 != sum(n7,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3439,684,theory(equality)]),368,theory(equality)]),663,theory(equality)]),348,theory(equality)]),481,theory(equality)]) ).

cnf(3443,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3442,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),501,theory(equality)]) ).

cnf(3444,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[3443,theory(equality)]) ).

cnf(3459,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n14)),sum(pred(n14),n15)) != sum(n7,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[3296,3444,theory(equality)]) ).

cnf(3462,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n7,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3459,685,theory(equality)]),369,theory(equality)]),664,theory(equality)]),369,theory(equality)]),503,theory(equality)]) ).

cnf(3463,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3462,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),503,theory(equality)]) ).

cnf(3464,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3463,theory(equality)]) ).

cnf(3484,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n13,succ(n13)),sum(pred(n13),n15)) != sum(n7,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[3296,3464,theory(equality)]) ).

cnf(3487,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n12 != sum(n7,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3484,686,theory(equality)]),370,theory(equality)]),665,theory(equality)]),390,theory(equality)]),525,theory(equality)]) ).

cnf(3488,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3487,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),505,theory(equality)]) ).

cnf(3489,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[3488,theory(equality)]) ).

cnf(3502,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n12)),sum(pred(n12),n15)) != sum(n7,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[3296,3489,theory(equality)]) ).

cnf(3505,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n7,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3502,687,theory(equality)]),371,theory(equality)]),666,theory(equality)]),411,theory(equality)]),547,theory(equality)]) ).

cnf(3506,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3505,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),507,theory(equality)]) ).

cnf(3507,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3506,theory(equality)]) ).

cnf(3519,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n13,succ(n11)),sum(pred(n11),n15)) != sum(n7,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[3296,3507,theory(equality)]) ).

cnf(3522,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n8 != sum(n7,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3519,688,theory(equality)]),372,theory(equality)]),667,theory(equality)]),432,theory(equality)]),569,theory(equality)]) ).

cnf(3523,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3522,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),509,theory(equality)]) ).

cnf(3524,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[3523,theory(equality)]) ).

cnf(3535,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n10)),sum(pred(n10),n15)) != sum(n7,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[3296,3524,theory(equality)]) ).

cnf(3538,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n7,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3535,689,theory(equality)]),373,theory(equality)]),668,theory(equality)]),453,theory(equality)]),591,theory(equality)]) ).

cnf(3539,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3538,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),490,theory(equality)]) ).

cnf(3540,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3539,theory(equality)]) ).

cnf(3550,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n13,succ(n9)),sum(pred(n9),n15)) != sum(n7,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[3296,3540,theory(equality)]) ).

cnf(3553,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n4 != sum(n7,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3550,690,theory(equality)]),374,theory(equality)]),669,theory(equality)]),474,theory(equality)]),613,theory(equality)]) ).

cnf(3554,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3553,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),492,theory(equality)]) ).

cnf(3555,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[3554,theory(equality)]) ).

cnf(3564,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n8)),sum(pred(n8),n15)) != sum(n7,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[3296,3555,theory(equality)]) ).

cnf(3567,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n7,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3564,691,theory(equality)]),375,theory(equality)]),670,theory(equality)]),495,theory(equality)]),635,theory(equality)]) ).

cnf(3568,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3567,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),494,theory(equality)]) ).

cnf(3569,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3568,theory(equality)]) ).

cnf(3577,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n13,succ(n7)),sum(pred(n7),n15)) != sum(n7,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[3296,3569,theory(equality)]) ).

cnf(3580,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n0 != sum(n7,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3577,692,theory(equality)]),376,theory(equality)]),671,theory(equality)]),516,theory(equality)]),657,theory(equality)]) ).

cnf(3581,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3580,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),496,theory(equality)]) ).

cnf(3582,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[3581,theory(equality)]) ).

cnf(3589,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n6)),sum(pred(n6),n15)) != sum(n7,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[3296,3582,theory(equality)]) ).

cnf(3592,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n19 != sum(n7,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3589,693,theory(equality)]),377,theory(equality)]),672,theory(equality)]),537,theory(equality)]),217,theory(equality)]) ).

cnf(3593,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3592,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),498,theory(equality)]) ).

cnf(3594,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3593,theory(equality)]) ).

cnf(3600,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n13,succ(n5)),sum(pred(n5),n15)) != sum(n7,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[3296,3594,theory(equality)]) ).

cnf(3603,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n17 != sum(n7,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3600,694,theory(equality)]),378,theory(equality)]),673,theory(equality)]),558,theory(equality)]),239,theory(equality)]) ).

cnf(3604,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3603,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),500,theory(equality)]) ).

cnf(3605,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[3604,theory(equality)]) ).

cnf(3610,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n4)),sum(pred(n4),n15)) != sum(n7,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[3296,3605,theory(equality)]) ).

cnf(3613,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n15 != sum(n7,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3610,695,theory(equality)]),379,theory(equality)]),674,theory(equality)]),579,theory(equality)]),261,theory(equality)]) ).

cnf(3614,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3613,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),502,theory(equality)]) ).

cnf(3615,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3614,theory(equality)]) ).

cnf(3619,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n13,succ(n3)),sum(pred(n3),n15)) != sum(n7,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[3296,3615,theory(equality)]) ).

cnf(3622,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | n13 != sum(n7,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3619,696,theory(equality)]),380,theory(equality)]),675,theory(equality)]),600,theory(equality)]),283,theory(equality)]) ).

cnf(3623,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3622,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),504,theory(equality)]) ).

cnf(3624,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[3623,theory(equality)]) ).

cnf(3627,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | sum(sum(n13,succ(n2)),sum(pred(n2),n15)) != sum(n7,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[3296,3624,theory(equality)]) ).

cnf(3630,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | n11 != sum(n7,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3627,697,theory(equality)]),381,theory(equality)]),676,theory(equality)]),621,theory(equality)]),305,theory(equality)]) ).

cnf(3631,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3630,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),506,theory(equality)]) ).

cnf(3632,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3631,theory(equality)]) ).

cnf(3634,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | sum(sum(n13,succ(n1)),sum(pred(n1),n15)) != sum(n7,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[3296,3632,theory(equality)]) ).

cnf(3637,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | n9 != sum(n7,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3634,698,theory(equality)]),382,theory(equality)]),677,theory(equality)]),642,theory(equality)]),327,theory(equality)]) ).

cnf(3638,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3637,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),508,theory(equality)]) ).

cnf(3639,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13 ),
    inference(cn,[status(thm)],[3638,theory(equality)]) ).

cnf(3652,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n13),succ(esk2_0)),sum(pred(esk2_0),succ(n13))) != sum(sum(pred(n13),succ(n13)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,3639,theory(equality)]) ).

cnf(3653,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n13),n1),sum(n20,succ(n13))) != sum(sum(pred(n13),succ(n13)),n0) ),
    inference(spm,[status(thm)],[745,3639,theory(equality)]) ).

cnf(3654,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n12,succ(esk2_0)),sum(pred(esk2_0),n14)) != sum(sum(pred(n13),succ(n13)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[3652,665,theory(equality)]),686,theory(equality)]) ).

cnf(3655,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n12,succ(esk2_0)),sum(pred(esk2_0),n14)) != sum(n5,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3654,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]) ).

cnf(3656,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n5 != sum(sum(pred(n13),succ(n13)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3653,665,theory(equality)]),404,theory(equality)]),686,theory(equality)]),223,theory(equality)]),371,theory(equality)]) ).

cnf(3657,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3656,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),552,theory(equality)]) ).

cnf(3658,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[3657,theory(equality)]) ).

cnf(3683,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n20)),sum(pred(n20),n14)) != sum(n5,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[3655,3658,theory(equality)]) ).

cnf(3686,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n3 != sum(n5,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3683,679,theory(equality)]),405,theory(equality)]),658,theory(equality)]),244,theory(equality)]),393,theory(equality)]) ).

cnf(3687,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3686,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),533,theory(equality)]) ).

cnf(3688,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3687,theory(equality)]) ).

cnf(3708,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n12,succ(n19)),sum(pred(n19),n14)) != sum(n5,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[3655,3688,theory(equality)]) ).

cnf(3711,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n1 != sum(n5,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3708,680,theory(equality)]),385,theory(equality)]),659,theory(equality)]),265,theory(equality)]),415,theory(equality)]) ).

cnf(3712,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3711,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),535,theory(equality)]) ).

cnf(3713,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[3712,theory(equality)]) ).

cnf(3732,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n18)),sum(pred(n18),n14)) != sum(n5,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[3655,3713,theory(equality)]) ).

cnf(3735,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n5,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3732,681,theory(equality)]),386,theory(equality)]),660,theory(equality)]),286,theory(equality)]),437,theory(equality)]) ).

cnf(3736,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3735,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),537,theory(equality)]) ).

cnf(3737,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3736,theory(equality)]) ).

cnf(3755,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n12,succ(n17)),sum(pred(n17),n14)) != sum(n5,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[3655,3737,theory(equality)]) ).

cnf(3758,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n18 != sum(n5,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3755,682,theory(equality)]),387,theory(equality)]),661,theory(equality)]),307,theory(equality)]),459,theory(equality)]) ).

cnf(3759,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3758,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),539,theory(equality)]) ).

cnf(3760,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[3759,theory(equality)]) ).

cnf(3777,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n16)),sum(pred(n16),n14)) != sum(n5,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[3655,3760,theory(equality)]) ).

cnf(3780,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n5,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3777,683,theory(equality)]),388,theory(equality)]),662,theory(equality)]),328,theory(equality)]),481,theory(equality)]) ).

cnf(3781,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3780,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),541,theory(equality)]) ).

cnf(3782,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3781,theory(equality)]) ).

cnf(3798,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n12,succ(n15)),sum(pred(n15),n14)) != sum(n5,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[3655,3782,theory(equality)]) ).

cnf(3801,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n14 != sum(n5,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3798,684,theory(equality)]),389,theory(equality)]),663,theory(equality)]),349,theory(equality)]),503,theory(equality)]) ).

cnf(3802,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3801,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),543,theory(equality)]) ).

cnf(3803,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[3802,theory(equality)]) ).

cnf(3818,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n14)),sum(pred(n14),n14)) != sum(n5,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[3655,3803,theory(equality)]) ).

cnf(3821,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n5,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3818,685,theory(equality)]),390,theory(equality)]),664,theory(equality)]),370,theory(equality)]),525,theory(equality)]) ).

cnf(3822,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3821,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),545,theory(equality)]) ).

cnf(3823,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3822,theory(equality)]) ).

cnf(3843,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n12,succ(n13)),sum(pred(n13),n14)) != sum(n5,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[3655,3823,theory(equality)]) ).

cnf(3846,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n10 != sum(n5,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3843,686,theory(equality)]),391,theory(equality)]),665,theory(equality)]),391,theory(equality)]),547,theory(equality)]) ).

cnf(3847,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3846,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),547,theory(equality)]) ).

cnf(3848,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[3847,theory(equality)]) ).

cnf(3861,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n12)),sum(pred(n12),n14)) != sum(n5,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[3655,3848,theory(equality)]) ).

cnf(3864,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n5,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3861,687,theory(equality)]),392,theory(equality)]),666,theory(equality)]),412,theory(equality)]),569,theory(equality)]) ).

cnf(3865,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3864,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),549,theory(equality)]) ).

cnf(3866,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3865,theory(equality)]) ).

cnf(3878,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n12,succ(n11)),sum(pred(n11),n14)) != sum(n5,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[3655,3866,theory(equality)]) ).

cnf(3881,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n6 != sum(n5,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3878,688,theory(equality)]),393,theory(equality)]),667,theory(equality)]),433,theory(equality)]),591,theory(equality)]) ).

cnf(3882,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3881,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),551,theory(equality)]) ).

cnf(3883,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[3882,theory(equality)]) ).

cnf(3894,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n10)),sum(pred(n10),n14)) != sum(n5,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[3655,3883,theory(equality)]) ).

cnf(3897,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n5,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3894,689,theory(equality)]),394,theory(equality)]),668,theory(equality)]),454,theory(equality)]),613,theory(equality)]) ).

cnf(3898,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3897,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),532,theory(equality)]) ).

cnf(3899,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3898,theory(equality)]) ).

cnf(3909,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n12,succ(n9)),sum(pred(n9),n14)) != sum(n5,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[3655,3899,theory(equality)]) ).

cnf(3912,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n2 != sum(n5,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3909,690,theory(equality)]),395,theory(equality)]),669,theory(equality)]),475,theory(equality)]),635,theory(equality)]) ).

cnf(3913,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3912,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),534,theory(equality)]) ).

cnf(3914,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[3913,theory(equality)]) ).

cnf(3923,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n8)),sum(pred(n8),n14)) != sum(n5,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[3655,3914,theory(equality)]) ).

cnf(3926,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n5,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3923,691,theory(equality)]),396,theory(equality)]),670,theory(equality)]),496,theory(equality)]),657,theory(equality)]) ).

cnf(3927,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3926,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),536,theory(equality)]) ).

cnf(3928,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3927,theory(equality)]) ).

cnf(3936,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n12,succ(n7)),sum(pred(n7),n14)) != sum(n5,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[3655,3928,theory(equality)]) ).

cnf(3939,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n19 != sum(n5,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3936,692,theory(equality)]),397,theory(equality)]),671,theory(equality)]),517,theory(equality)]),217,theory(equality)]) ).

cnf(3940,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3939,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),538,theory(equality)]) ).

cnf(3941,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[3940,theory(equality)]) ).

cnf(3948,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n6)),sum(pred(n6),n14)) != sum(n5,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[3655,3941,theory(equality)]) ).

cnf(3951,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n17 != sum(n5,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3948,693,theory(equality)]),398,theory(equality)]),672,theory(equality)]),538,theory(equality)]),239,theory(equality)]) ).

cnf(3952,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3951,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),540,theory(equality)]) ).

cnf(3953,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3952,theory(equality)]) ).

cnf(3959,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n12,succ(n5)),sum(pred(n5),n14)) != sum(n5,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[3655,3953,theory(equality)]) ).

cnf(3962,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n15 != sum(n5,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3959,694,theory(equality)]),399,theory(equality)]),673,theory(equality)]),559,theory(equality)]),261,theory(equality)]) ).

cnf(3963,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3962,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),542,theory(equality)]) ).

cnf(3964,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[3963,theory(equality)]) ).

cnf(3969,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n4)),sum(pred(n4),n14)) != sum(n5,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[3655,3964,theory(equality)]) ).

cnf(3972,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n13 != sum(n5,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3969,695,theory(equality)]),400,theory(equality)]),674,theory(equality)]),580,theory(equality)]),283,theory(equality)]) ).

cnf(3973,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3972,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),544,theory(equality)]) ).

cnf(3974,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3973,theory(equality)]) ).

cnf(3978,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n12,succ(n3)),sum(pred(n3),n14)) != sum(n5,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[3655,3974,theory(equality)]) ).

cnf(3981,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | n11 != sum(n5,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3978,696,theory(equality)]),401,theory(equality)]),675,theory(equality)]),601,theory(equality)]),305,theory(equality)]) ).

cnf(3982,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3981,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),546,theory(equality)]) ).

cnf(3983,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[3982,theory(equality)]) ).

cnf(3986,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | sum(sum(n12,succ(n2)),sum(pred(n2),n14)) != sum(n5,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[3655,3983,theory(equality)]) ).

cnf(3989,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | n9 != sum(n5,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3986,697,theory(equality)]),402,theory(equality)]),676,theory(equality)]),622,theory(equality)]),327,theory(equality)]) ).

cnf(3990,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3989,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),548,theory(equality)]) ).

cnf(3991,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3990,theory(equality)]) ).

cnf(3993,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | sum(sum(n12,succ(n1)),sum(pred(n1),n14)) != sum(n5,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[3655,3991,theory(equality)]) ).

cnf(3996,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | n7 != sum(n5,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3993,698,theory(equality)]),403,theory(equality)]),677,theory(equality)]),643,theory(equality)]),349,theory(equality)]) ).

cnf(3997,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3996,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),550,theory(equality)]) ).

cnf(3998,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12 ),
    inference(cn,[status(thm)],[3997,theory(equality)]) ).

cnf(4010,plain,
    ( esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n12),succ(esk2_0)),sum(pred(esk2_0),succ(n12))) != sum(sum(pred(n12),succ(n12)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,3998,theory(equality)]) ).

cnf(4011,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n12),n1),sum(n20,succ(n12))) != sum(sum(pred(n12),succ(n12)),n0) ),
    inference(spm,[status(thm)],[745,3998,theory(equality)]) ).

cnf(4012,plain,
    ( esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n11,succ(esk2_0)),sum(pred(esk2_0),n13)) != sum(sum(pred(n12),succ(n12)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[4010,666,theory(equality)]),687,theory(equality)]) ).

cnf(4013,plain,
    ( esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n11,succ(esk2_0)),sum(pred(esk2_0),n13)) != sum(n3,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4012,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]) ).

cnf(4014,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n3 != sum(sum(pred(n12),succ(n12)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4011,666,theory(equality)]),425,theory(equality)]),687,theory(equality)]),224,theory(equality)]),393,theory(equality)]) ).

cnf(4015,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4014,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),594,theory(equality)]) ).

cnf(4016,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[4015,theory(equality)]) ).

cnf(4041,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n20)),sum(pred(n20),n13)) != sum(n3,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[4013,4016,theory(equality)]) ).

cnf(4044,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n1 != sum(n3,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4041,679,theory(equality)]),426,theory(equality)]),658,theory(equality)]),245,theory(equality)]),415,theory(equality)]) ).

cnf(4045,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4044,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),575,theory(equality)]) ).

cnf(4046,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4045,theory(equality)]) ).

cnf(4066,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n11,succ(n19)),sum(pred(n19),n13)) != sum(n3,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[4013,4046,theory(equality)]) ).

cnf(4069,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n20 != sum(n3,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4066,680,theory(equality)]),406,theory(equality)]),659,theory(equality)]),266,theory(equality)]),437,theory(equality)]) ).

cnf(4070,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4069,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),577,theory(equality)]) ).

cnf(4071,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[4070,theory(equality)]) ).

cnf(4090,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n18)),sum(pred(n18),n13)) != sum(n3,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[4013,4071,theory(equality)]) ).

cnf(4093,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n3,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4090,681,theory(equality)]),407,theory(equality)]),660,theory(equality)]),287,theory(equality)]),459,theory(equality)]) ).

cnf(4094,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4093,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),579,theory(equality)]) ).

cnf(4095,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4094,theory(equality)]) ).

cnf(4113,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n11,succ(n17)),sum(pred(n17),n13)) != sum(n3,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[4013,4095,theory(equality)]) ).

cnf(4116,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n16 != sum(n3,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4113,682,theory(equality)]),408,theory(equality)]),661,theory(equality)]),308,theory(equality)]),481,theory(equality)]) ).

cnf(4117,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4116,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),581,theory(equality)]) ).

cnf(4118,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[4117,theory(equality)]) ).

cnf(4135,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n16)),sum(pred(n16),n13)) != sum(n3,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[4013,4118,theory(equality)]) ).

cnf(4138,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n3,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4135,683,theory(equality)]),409,theory(equality)]),662,theory(equality)]),329,theory(equality)]),503,theory(equality)]) ).

cnf(4139,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4138,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),583,theory(equality)]) ).

cnf(4140,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4139,theory(equality)]) ).

cnf(4156,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n11,succ(n15)),sum(pred(n15),n13)) != sum(n3,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[4013,4140,theory(equality)]) ).

cnf(4159,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n12 != sum(n3,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4156,684,theory(equality)]),410,theory(equality)]),663,theory(equality)]),350,theory(equality)]),525,theory(equality)]) ).

cnf(4160,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4159,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),585,theory(equality)]) ).

cnf(4161,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[4160,theory(equality)]) ).

cnf(4176,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n14)),sum(pred(n14),n13)) != sum(n3,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[4013,4161,theory(equality)]) ).

cnf(4179,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n3,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4176,685,theory(equality)]),411,theory(equality)]),664,theory(equality)]),371,theory(equality)]),547,theory(equality)]) ).

cnf(4180,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4179,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),587,theory(equality)]) ).

cnf(4181,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4180,theory(equality)]) ).

cnf(4195,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n11,succ(n13)),sum(pred(n13),n13)) != sum(n3,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[4013,4181,theory(equality)]) ).

cnf(4198,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n8 != sum(n3,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4195,686,theory(equality)]),412,theory(equality)]),665,theory(equality)]),392,theory(equality)]),569,theory(equality)]) ).

cnf(4199,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4198,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),589,theory(equality)]) ).

cnf(4200,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[4199,theory(equality)]) ).

cnf(4220,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n12)),sum(pred(n12),n13)) != sum(n3,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[4013,4200,theory(equality)]) ).

cnf(4223,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n3,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4220,687,theory(equality)]),413,theory(equality)]),666,theory(equality)]),413,theory(equality)]),591,theory(equality)]) ).

cnf(4224,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4223,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),591,theory(equality)]) ).

cnf(4225,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4224,theory(equality)]) ).

cnf(4237,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n11,succ(n11)),sum(pred(n11),n13)) != sum(n3,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[4013,4225,theory(equality)]) ).

cnf(4240,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n4 != sum(n3,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4237,688,theory(equality)]),414,theory(equality)]),667,theory(equality)]),434,theory(equality)]),613,theory(equality)]) ).

cnf(4241,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4240,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),593,theory(equality)]) ).

cnf(4242,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[4241,theory(equality)]) ).

cnf(4253,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n10)),sum(pred(n10),n13)) != sum(n3,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[4013,4242,theory(equality)]) ).

cnf(4256,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n3,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4253,689,theory(equality)]),415,theory(equality)]),668,theory(equality)]),455,theory(equality)]),635,theory(equality)]) ).

cnf(4257,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4256,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),574,theory(equality)]) ).

cnf(4258,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4257,theory(equality)]) ).

cnf(4268,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n11,succ(n9)),sum(pred(n9),n13)) != sum(n3,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[4013,4258,theory(equality)]) ).

cnf(4271,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n0 != sum(n3,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4268,690,theory(equality)]),416,theory(equality)]),669,theory(equality)]),476,theory(equality)]),657,theory(equality)]) ).

cnf(4272,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4271,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),576,theory(equality)]) ).

cnf(4273,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[4272,theory(equality)]) ).

cnf(4282,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n8)),sum(pred(n8),n13)) != sum(n3,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[4013,4273,theory(equality)]) ).

cnf(4285,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n19 != sum(n3,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4282,691,theory(equality)]),417,theory(equality)]),670,theory(equality)]),497,theory(equality)]),217,theory(equality)]) ).

cnf(4286,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4285,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),578,theory(equality)]) ).

cnf(4287,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4286,theory(equality)]) ).

cnf(4295,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n11,succ(n7)),sum(pred(n7),n13)) != sum(n3,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[4013,4287,theory(equality)]) ).

cnf(4298,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n17 != sum(n3,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4295,692,theory(equality)]),418,theory(equality)]),671,theory(equality)]),518,theory(equality)]),239,theory(equality)]) ).

cnf(4299,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4298,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),580,theory(equality)]) ).

cnf(4300,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[4299,theory(equality)]) ).

cnf(4307,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n6)),sum(pred(n6),n13)) != sum(n3,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[4013,4300,theory(equality)]) ).

cnf(4310,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n15 != sum(n3,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4307,693,theory(equality)]),419,theory(equality)]),672,theory(equality)]),539,theory(equality)]),261,theory(equality)]) ).

cnf(4311,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4310,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),582,theory(equality)]) ).

cnf(4312,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4311,theory(equality)]) ).

cnf(4318,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n11,succ(n5)),sum(pred(n5),n13)) != sum(n3,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[4013,4312,theory(equality)]) ).

cnf(4321,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n13 != sum(n3,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4318,694,theory(equality)]),420,theory(equality)]),673,theory(equality)]),560,theory(equality)]),283,theory(equality)]) ).

cnf(4322,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4321,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),584,theory(equality)]) ).

cnf(4323,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[4322,theory(equality)]) ).

cnf(4328,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n4)),sum(pred(n4),n13)) != sum(n3,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[4013,4323,theory(equality)]) ).

cnf(4331,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n11 != sum(n3,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4328,695,theory(equality)]),421,theory(equality)]),674,theory(equality)]),581,theory(equality)]),305,theory(equality)]) ).

cnf(4332,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4331,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),586,theory(equality)]) ).

cnf(4333,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4332,theory(equality)]) ).

cnf(4337,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n11,succ(n3)),sum(pred(n3),n13)) != sum(n3,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[4013,4333,theory(equality)]) ).

cnf(4340,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | n9 != sum(n3,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4337,696,theory(equality)]),422,theory(equality)]),675,theory(equality)]),602,theory(equality)]),327,theory(equality)]) ).

cnf(4341,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4340,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),588,theory(equality)]) ).

cnf(4342,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[4341,theory(equality)]) ).

cnf(4345,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | sum(sum(n11,succ(n2)),sum(pred(n2),n13)) != sum(n3,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[4013,4342,theory(equality)]) ).

cnf(4348,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | n7 != sum(n3,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4345,697,theory(equality)]),423,theory(equality)]),676,theory(equality)]),623,theory(equality)]),349,theory(equality)]) ).

cnf(4349,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4348,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),590,theory(equality)]) ).

cnf(4350,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4349,theory(equality)]) ).

cnf(4352,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | sum(sum(n11,succ(n1)),sum(pred(n1),n13)) != sum(n3,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[4013,4350,theory(equality)]) ).

cnf(4355,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | n5 != sum(n3,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4352,698,theory(equality)]),424,theory(equality)]),677,theory(equality)]),644,theory(equality)]),371,theory(equality)]) ).

cnf(4356,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4355,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),592,theory(equality)]) ).

cnf(4357,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11 ),
    inference(cn,[status(thm)],[4356,theory(equality)]) ).

cnf(4368,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n11),succ(esk2_0)),sum(pred(esk2_0),succ(n11))) != sum(sum(pred(n11),succ(n11)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,4357,theory(equality)]) ).

cnf(4369,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n11),n1),sum(n20,succ(n11))) != sum(sum(pred(n11),succ(n11)),n0) ),
    inference(spm,[status(thm)],[745,4357,theory(equality)]) ).

cnf(4370,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n10,succ(esk2_0)),sum(pred(esk2_0),n12)) != sum(sum(pred(n11),succ(n11)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[4368,667,theory(equality)]),688,theory(equality)]) ).

cnf(4371,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n10,succ(esk2_0)),sum(pred(esk2_0),n12)) != sum(n1,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4370,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]) ).

cnf(4372,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n1 != sum(sum(pred(n11),succ(n11)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4369,667,theory(equality)]),446,theory(equality)]),688,theory(equality)]),225,theory(equality)]),415,theory(equality)]) ).

cnf(4373,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4372,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),636,theory(equality)]) ).

cnf(4374,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[4373,theory(equality)]) ).

cnf(4399,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n20)),sum(pred(n20),n12)) != sum(n1,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[4371,4374,theory(equality)]) ).

cnf(4402,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n1,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4399,679,theory(equality)]),447,theory(equality)]),658,theory(equality)]),246,theory(equality)]),437,theory(equality)]) ).

cnf(4403,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4402,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),617,theory(equality)]) ).

cnf(4404,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4403,theory(equality)]) ).

cnf(4424,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n10,succ(n19)),sum(pred(n19),n12)) != sum(n1,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[4371,4404,theory(equality)]) ).

cnf(4427,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n18 != sum(n1,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4424,680,theory(equality)]),427,theory(equality)]),659,theory(equality)]),267,theory(equality)]),459,theory(equality)]) ).

cnf(4428,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4427,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),619,theory(equality)]) ).

cnf(4429,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[4428,theory(equality)]) ).

cnf(4448,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n18)),sum(pred(n18),n12)) != sum(n1,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[4371,4429,theory(equality)]) ).

cnf(4451,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n1,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4448,681,theory(equality)]),428,theory(equality)]),660,theory(equality)]),288,theory(equality)]),481,theory(equality)]) ).

cnf(4452,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4451,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),621,theory(equality)]) ).

cnf(4453,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4452,theory(equality)]) ).

cnf(4471,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n10,succ(n17)),sum(pred(n17),n12)) != sum(n1,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[4371,4453,theory(equality)]) ).

cnf(4474,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n14 != sum(n1,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4471,682,theory(equality)]),429,theory(equality)]),661,theory(equality)]),309,theory(equality)]),503,theory(equality)]) ).

cnf(4475,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4474,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),623,theory(equality)]) ).

cnf(4476,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[4475,theory(equality)]) ).

cnf(4493,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n16)),sum(pred(n16),n12)) != sum(n1,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[4371,4476,theory(equality)]) ).

cnf(4496,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n1,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4493,683,theory(equality)]),430,theory(equality)]),662,theory(equality)]),330,theory(equality)]),525,theory(equality)]) ).

cnf(4497,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4496,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),625,theory(equality)]) ).

cnf(4498,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4497,theory(equality)]) ).

cnf(4514,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n10,succ(n15)),sum(pred(n15),n12)) != sum(n1,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[4371,4498,theory(equality)]) ).

cnf(4517,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n10 != sum(n1,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4514,684,theory(equality)]),431,theory(equality)]),663,theory(equality)]),351,theory(equality)]),547,theory(equality)]) ).

cnf(4518,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4517,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),627,theory(equality)]) ).

cnf(4519,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[4518,theory(equality)]) ).

cnf(4534,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n14)),sum(pred(n14),n12)) != sum(n1,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[4371,4519,theory(equality)]) ).

cnf(4537,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n1,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4534,685,theory(equality)]),432,theory(equality)]),664,theory(equality)]),372,theory(equality)]),569,theory(equality)]) ).

cnf(4538,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4537,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),629,theory(equality)]) ).

cnf(4539,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4538,theory(equality)]) ).

cnf(4553,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n10,succ(n13)),sum(pred(n13),n12)) != sum(n1,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[4371,4539,theory(equality)]) ).

cnf(4556,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n6 != sum(n1,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4553,686,theory(equality)]),433,theory(equality)]),665,theory(equality)]),393,theory(equality)]),591,theory(equality)]) ).

cnf(4557,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4556,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),631,theory(equality)]) ).

cnf(4558,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[4557,theory(equality)]) ).

cnf(4571,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n12)),sum(pred(n12),n12)) != sum(n1,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[4371,4558,theory(equality)]) ).

cnf(4574,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n1,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4571,687,theory(equality)]),434,theory(equality)]),666,theory(equality)]),414,theory(equality)]),613,theory(equality)]) ).

cnf(4575,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4574,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),633,theory(equality)]) ).

cnf(4576,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4575,theory(equality)]) ).

cnf(4588,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n10,succ(n11)),sum(pred(n11),n12)) != sum(n1,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[4371,4576,theory(equality)]) ).

cnf(4591,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n2 != sum(n1,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4588,688,theory(equality)]),435,theory(equality)]),667,theory(equality)]),435,theory(equality)]),635,theory(equality)]) ).

cnf(4592,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4591,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),635,theory(equality)]) ).

cnf(4593,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[4592,theory(equality)]) ).

cnf(4604,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n10)),sum(pred(n10),n12)) != sum(n1,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[4371,4593,theory(equality)]) ).

cnf(4607,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n1,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4604,689,theory(equality)]),436,theory(equality)]),668,theory(equality)]),456,theory(equality)]),657,theory(equality)]) ).

cnf(4608,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4607,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),616,theory(equality)]) ).

cnf(4609,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4608,theory(equality)]) ).

cnf(4619,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n10,succ(n9)),sum(pred(n9),n12)) != sum(n1,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[4371,4609,theory(equality)]) ).

cnf(4622,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n19 != sum(n1,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4619,690,theory(equality)]),437,theory(equality)]),669,theory(equality)]),477,theory(equality)]),217,theory(equality)]) ).

cnf(4623,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4622,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),618,theory(equality)]) ).

cnf(4624,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[4623,theory(equality)]) ).

cnf(4633,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n8)),sum(pred(n8),n12)) != sum(n1,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[4371,4624,theory(equality)]) ).

cnf(4636,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n17 != sum(n1,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4633,691,theory(equality)]),438,theory(equality)]),670,theory(equality)]),498,theory(equality)]),239,theory(equality)]) ).

cnf(4637,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4636,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),620,theory(equality)]) ).

cnf(4638,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4637,theory(equality)]) ).

cnf(4646,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n10,succ(n7)),sum(pred(n7),n12)) != sum(n1,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[4371,4638,theory(equality)]) ).

cnf(4649,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n15 != sum(n1,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4646,692,theory(equality)]),439,theory(equality)]),671,theory(equality)]),519,theory(equality)]),261,theory(equality)]) ).

cnf(4650,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4649,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),622,theory(equality)]) ).

cnf(4651,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[4650,theory(equality)]) ).

cnf(4658,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n6)),sum(pred(n6),n12)) != sum(n1,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[4371,4651,theory(equality)]) ).

cnf(4661,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n13 != sum(n1,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4658,693,theory(equality)]),440,theory(equality)]),672,theory(equality)]),540,theory(equality)]),283,theory(equality)]) ).

cnf(4662,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4661,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),624,theory(equality)]) ).

cnf(4663,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4662,theory(equality)]) ).

cnf(4669,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n10,succ(n5)),sum(pred(n5),n12)) != sum(n1,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[4371,4663,theory(equality)]) ).

cnf(4672,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n11 != sum(n1,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4669,694,theory(equality)]),441,theory(equality)]),673,theory(equality)]),561,theory(equality)]),305,theory(equality)]) ).

cnf(4673,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4672,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),626,theory(equality)]) ).

cnf(4674,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[4673,theory(equality)]) ).

cnf(4679,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n4)),sum(pred(n4),n12)) != sum(n1,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[4371,4674,theory(equality)]) ).

cnf(4682,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n9 != sum(n1,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4679,695,theory(equality)]),442,theory(equality)]),674,theory(equality)]),582,theory(equality)]),327,theory(equality)]) ).

cnf(4683,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4682,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),628,theory(equality)]) ).

cnf(4684,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4683,theory(equality)]) ).

cnf(4688,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n10,succ(n3)),sum(pred(n3),n12)) != sum(n1,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[4371,4684,theory(equality)]) ).

cnf(4691,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | n7 != sum(n1,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4688,696,theory(equality)]),443,theory(equality)]),675,theory(equality)]),603,theory(equality)]),349,theory(equality)]) ).

cnf(4692,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4691,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),630,theory(equality)]) ).

cnf(4693,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[4692,theory(equality)]) ).

cnf(4696,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | sum(sum(n10,succ(n2)),sum(pred(n2),n12)) != sum(n1,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[4371,4693,theory(equality)]) ).

cnf(4699,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | n5 != sum(n1,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4696,697,theory(equality)]),444,theory(equality)]),676,theory(equality)]),624,theory(equality)]),371,theory(equality)]) ).

cnf(4700,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4699,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),632,theory(equality)]) ).

cnf(4701,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4700,theory(equality)]) ).

cnf(4703,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | sum(sum(n10,succ(n1)),sum(pred(n1),n12)) != sum(n1,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[4371,4701,theory(equality)]) ).

cnf(4706,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | n3 != sum(n1,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4703,698,theory(equality)]),445,theory(equality)]),677,theory(equality)]),645,theory(equality)]),393,theory(equality)]) ).

cnf(4707,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4706,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),634,theory(equality)]) ).

cnf(4708,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10 ),
    inference(cn,[status(thm)],[4707,theory(equality)]) ).

cnf(4718,plain,
    ( esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n10),succ(esk2_0)),sum(pred(esk2_0),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,4708,theory(equality)]) ).

cnf(4719,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n10),n1),sum(n20,succ(n10))) != sum(sum(pred(n10),succ(n10)),n0) ),
    inference(spm,[status(thm)],[745,4708,theory(equality)]) ).

cnf(4720,plain,
    ( esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n9,succ(esk2_0)),sum(pred(esk2_0),n11)) != sum(sum(pred(n10),succ(n10)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[4718,668,theory(equality)]),689,theory(equality)]) ).

cnf(4721,plain,
    ( esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n9,succ(esk2_0)),sum(pred(esk2_0),n11)) != sum(n20,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4720,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]) ).

cnf(4722,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n20 != sum(sum(pred(n10),succ(n10)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4719,668,theory(equality)]),467,theory(equality)]),689,theory(equality)]),226,theory(equality)]),437,theory(equality)]) ).

cnf(4723,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4722,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),237,theory(equality)]) ).

cnf(4724,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[4723,theory(equality)]) ).

cnf(4749,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n20)),sum(pred(n20),n11)) != sum(n20,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[4721,4724,theory(equality)]) ).

cnf(4752,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n20,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4749,679,theory(equality)]),468,theory(equality)]),658,theory(equality)]),247,theory(equality)]),459,theory(equality)]) ).

cnf(4753,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4752,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),218,theory(equality)]) ).

cnf(4754,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4753,theory(equality)]) ).

cnf(4774,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n9,succ(n19)),sum(pred(n19),n11)) != sum(n20,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[4721,4754,theory(equality)]) ).

cnf(4777,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n16 != sum(n20,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4774,680,theory(equality)]),448,theory(equality)]),659,theory(equality)]),268,theory(equality)]),481,theory(equality)]) ).

cnf(4778,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4777,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),220,theory(equality)]) ).

cnf(4779,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[4778,theory(equality)]) ).

cnf(4798,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n18)),sum(pred(n18),n11)) != sum(n20,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[4721,4779,theory(equality)]) ).

cnf(4801,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n20,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4798,681,theory(equality)]),449,theory(equality)]),660,theory(equality)]),289,theory(equality)]),503,theory(equality)]) ).

cnf(4802,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4801,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),222,theory(equality)]) ).

cnf(4803,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4802,theory(equality)]) ).

cnf(4823,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n9,succ(n17)),sum(pred(n17),n11)) != sum(n20,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[4721,4803,theory(equality)]) ).

cnf(4826,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n12 != sum(n20,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4823,682,theory(equality)]),450,theory(equality)]),661,theory(equality)]),310,theory(equality)]),525,theory(equality)]) ).

cnf(4827,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4826,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),224,theory(equality)]) ).

cnf(4828,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[4827,theory(equality)]) ).

cnf(4845,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n16)),sum(pred(n16),n11)) != sum(n20,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[4721,4828,theory(equality)]) ).

cnf(4848,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n20,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4845,683,theory(equality)]),451,theory(equality)]),662,theory(equality)]),331,theory(equality)]),547,theory(equality)]) ).

cnf(4849,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4848,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),226,theory(equality)]) ).

cnf(4850,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4849,theory(equality)]) ).

cnf(4866,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n9,succ(n15)),sum(pred(n15),n11)) != sum(n20,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[4721,4850,theory(equality)]) ).

cnf(4869,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n8 != sum(n20,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4866,684,theory(equality)]),452,theory(equality)]),663,theory(equality)]),352,theory(equality)]),569,theory(equality)]) ).

cnf(4870,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4869,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),228,theory(equality)]) ).

cnf(4871,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[4870,theory(equality)]) ).

cnf(4886,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n14)),sum(pred(n14),n11)) != sum(n20,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[4721,4871,theory(equality)]) ).

cnf(4889,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n20,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4886,685,theory(equality)]),453,theory(equality)]),664,theory(equality)]),373,theory(equality)]),591,theory(equality)]) ).

cnf(4890,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4889,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),230,theory(equality)]) ).

cnf(4891,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4890,theory(equality)]) ).

cnf(4905,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n9,succ(n13)),sum(pred(n13),n11)) != sum(n20,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[4721,4891,theory(equality)]) ).

cnf(4908,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n4 != sum(n20,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4905,686,theory(equality)]),454,theory(equality)]),665,theory(equality)]),394,theory(equality)]),613,theory(equality)]) ).

cnf(4909,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4908,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),232,theory(equality)]) ).

cnf(4910,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[4909,theory(equality)]) ).

cnf(4923,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n12)),sum(pred(n12),n11)) != sum(n20,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[4721,4910,theory(equality)]) ).

cnf(4926,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n20,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4923,687,theory(equality)]),455,theory(equality)]),666,theory(equality)]),415,theory(equality)]),635,theory(equality)]) ).

cnf(4927,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4926,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),234,theory(equality)]) ).

cnf(4928,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4927,theory(equality)]) ).

cnf(4940,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n9,succ(n11)),sum(pred(n11),n11)) != sum(n20,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[4721,4928,theory(equality)]) ).

cnf(4943,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n0 != sum(n20,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4940,688,theory(equality)]),456,theory(equality)]),667,theory(equality)]),436,theory(equality)]),657,theory(equality)]) ).

cnf(4944,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4943,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),236,theory(equality)]) ).

cnf(4945,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[4944,theory(equality)]) ).

cnf(4956,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n10)),sum(pred(n10),n11)) != sum(n20,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[4721,4945,theory(equality)]) ).

cnf(4959,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n19 != sum(n20,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4956,689,theory(equality)]),457,theory(equality)]),668,theory(equality)]),457,theory(equality)]),217,theory(equality)]) ).

cnf(4960,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4959,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),217,theory(equality)]) ).

cnf(4961,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4960,theory(equality)]) ).

cnf(4971,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n9,succ(n9)),sum(pred(n9),n11)) != sum(n20,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[4721,4961,theory(equality)]) ).

cnf(4974,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n17 != sum(n20,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4971,690,theory(equality)]),458,theory(equality)]),669,theory(equality)]),478,theory(equality)]),239,theory(equality)]) ).

cnf(4975,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4974,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),219,theory(equality)]) ).

cnf(4976,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[4975,theory(equality)]) ).

cnf(4985,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n8)),sum(pred(n8),n11)) != sum(n20,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[4721,4976,theory(equality)]) ).

cnf(4988,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n15 != sum(n20,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4985,691,theory(equality)]),459,theory(equality)]),670,theory(equality)]),499,theory(equality)]),261,theory(equality)]) ).

cnf(4989,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4988,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),221,theory(equality)]) ).

cnf(4990,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4989,theory(equality)]) ).

cnf(4998,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n9,succ(n7)),sum(pred(n7),n11)) != sum(n20,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[4721,4990,theory(equality)]) ).

cnf(5001,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n13 != sum(n20,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4998,692,theory(equality)]),460,theory(equality)]),671,theory(equality)]),520,theory(equality)]),283,theory(equality)]) ).

cnf(5002,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5001,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),223,theory(equality)]) ).

cnf(5003,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[5002,theory(equality)]) ).

cnf(5010,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n6)),sum(pred(n6),n11)) != sum(n20,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[4721,5003,theory(equality)]) ).

cnf(5013,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n11 != sum(n20,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5010,693,theory(equality)]),461,theory(equality)]),672,theory(equality)]),541,theory(equality)]),305,theory(equality)]) ).

cnf(5014,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5013,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),225,theory(equality)]) ).

cnf(5015,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5014,theory(equality)]) ).

cnf(5021,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n9,succ(n5)),sum(pred(n5),n11)) != sum(n20,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[4721,5015,theory(equality)]) ).

cnf(5024,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n9 != sum(n20,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5021,694,theory(equality)]),462,theory(equality)]),673,theory(equality)]),562,theory(equality)]),327,theory(equality)]) ).

cnf(5025,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5024,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),227,theory(equality)]) ).

cnf(5026,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[5025,theory(equality)]) ).

cnf(5031,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n4)),sum(pred(n4),n11)) != sum(n20,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[4721,5026,theory(equality)]) ).

cnf(5034,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n7 != sum(n20,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5031,695,theory(equality)]),463,theory(equality)]),674,theory(equality)]),583,theory(equality)]),349,theory(equality)]) ).

cnf(5035,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5034,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),229,theory(equality)]) ).

cnf(5036,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5035,theory(equality)]) ).

cnf(5040,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n9,succ(n3)),sum(pred(n3),n11)) != sum(n20,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[4721,5036,theory(equality)]) ).

cnf(5043,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | n5 != sum(n20,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5040,696,theory(equality)]),464,theory(equality)]),675,theory(equality)]),604,theory(equality)]),371,theory(equality)]) ).

cnf(5044,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5043,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),231,theory(equality)]) ).

cnf(5045,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[5044,theory(equality)]) ).

cnf(5048,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | sum(sum(n9,succ(n2)),sum(pred(n2),n11)) != sum(n20,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[4721,5045,theory(equality)]) ).

cnf(5051,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | n3 != sum(n20,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5048,697,theory(equality)]),465,theory(equality)]),676,theory(equality)]),625,theory(equality)]),393,theory(equality)]) ).

cnf(5052,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5051,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),233,theory(equality)]) ).

cnf(5053,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5052,theory(equality)]) ).

cnf(5055,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | sum(sum(n9,succ(n1)),sum(pred(n1),n11)) != sum(n20,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[4721,5053,theory(equality)]) ).

cnf(5058,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | n1 != sum(n20,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5055,698,theory(equality)]),466,theory(equality)]),677,theory(equality)]),646,theory(equality)]),415,theory(equality)]) ).

cnf(5059,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5058,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),235,theory(equality)]) ).

cnf(5060,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9 ),
    inference(cn,[status(thm)],[5059,theory(equality)]) ).

cnf(5069,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n9),succ(esk2_0)),sum(pred(esk2_0),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,5060,theory(equality)]) ).

cnf(5070,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n9),n1),sum(n20,succ(n9))) != sum(sum(pred(n9),succ(n9)),n0) ),
    inference(spm,[status(thm)],[745,5060,theory(equality)]) ).

cnf(5071,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n8,succ(esk2_0)),sum(pred(esk2_0),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[5069,669,theory(equality)]),690,theory(equality)]) ).

cnf(5072,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n8,succ(esk2_0)),sum(pred(esk2_0),n10)) != sum(n18,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5071,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]) ).

cnf(5073,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n18 != sum(sum(pred(n9),succ(n9)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5070,669,theory(equality)]),488,theory(equality)]),690,theory(equality)]),227,theory(equality)]),459,theory(equality)]) ).

cnf(5074,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5073,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),279,theory(equality)]) ).

cnf(5075,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[5074,theory(equality)]) ).

cnf(5100,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n20)),sum(pred(n20),n10)) != sum(n18,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[5072,5075,theory(equality)]) ).

cnf(5103,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n18,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5100,679,theory(equality)]),489,theory(equality)]),658,theory(equality)]),248,theory(equality)]),481,theory(equality)]) ).

cnf(5104,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5103,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),260,theory(equality)]) ).

cnf(5105,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5104,theory(equality)]) ).

cnf(5125,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n8,succ(n19)),sum(pred(n19),n10)) != sum(n18,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[5072,5105,theory(equality)]) ).

cnf(5128,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n14 != sum(n18,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5125,680,theory(equality)]),469,theory(equality)]),659,theory(equality)]),269,theory(equality)]),503,theory(equality)]) ).

cnf(5129,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5128,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),262,theory(equality)]) ).

cnf(5130,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[5129,theory(equality)]) ).

cnf(5149,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n18)),sum(pred(n18),n10)) != sum(n18,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[5072,5130,theory(equality)]) ).

cnf(5152,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n18,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5149,681,theory(equality)]),470,theory(equality)]),660,theory(equality)]),290,theory(equality)]),525,theory(equality)]) ).

cnf(5153,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5152,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),264,theory(equality)]) ).

cnf(5154,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5153,theory(equality)]) ).

cnf(5172,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n8,succ(n17)),sum(pred(n17),n10)) != sum(n18,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[5072,5154,theory(equality)]) ).

cnf(5175,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n10 != sum(n18,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5172,682,theory(equality)]),471,theory(equality)]),661,theory(equality)]),311,theory(equality)]),547,theory(equality)]) ).

cnf(5176,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5175,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),266,theory(equality)]) ).

cnf(5177,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[5176,theory(equality)]) ).

cnf(5194,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n16)),sum(pred(n16),n10)) != sum(n18,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[5072,5177,theory(equality)]) ).

cnf(5197,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n18,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5194,683,theory(equality)]),472,theory(equality)]),662,theory(equality)]),332,theory(equality)]),569,theory(equality)]) ).

cnf(5198,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5197,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),268,theory(equality)]) ).

cnf(5199,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5198,theory(equality)]) ).

cnf(5215,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n8,succ(n15)),sum(pred(n15),n10)) != sum(n18,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[5072,5199,theory(equality)]) ).

cnf(5218,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n6 != sum(n18,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5215,684,theory(equality)]),473,theory(equality)]),663,theory(equality)]),353,theory(equality)]),591,theory(equality)]) ).

cnf(5219,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5218,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),270,theory(equality)]) ).

cnf(5220,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[5219,theory(equality)]) ).

cnf(5240,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n14)),sum(pred(n14),n10)) != sum(n18,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[5072,5220,theory(equality)]) ).

cnf(5243,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n18,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5240,685,theory(equality)]),474,theory(equality)]),664,theory(equality)]),374,theory(equality)]),613,theory(equality)]) ).

cnf(5244,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5243,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),272,theory(equality)]) ).

cnf(5245,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5244,theory(equality)]) ).

cnf(5259,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n8,succ(n13)),sum(pred(n13),n10)) != sum(n18,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[5072,5245,theory(equality)]) ).

cnf(5262,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n2 != sum(n18,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5259,686,theory(equality)]),475,theory(equality)]),665,theory(equality)]),395,theory(equality)]),635,theory(equality)]) ).

cnf(5263,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5262,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),274,theory(equality)]) ).

cnf(5264,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[5263,theory(equality)]) ).

cnf(5277,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n12)),sum(pred(n12),n10)) != sum(n18,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[5072,5264,theory(equality)]) ).

cnf(5280,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n18,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5277,687,theory(equality)]),476,theory(equality)]),666,theory(equality)]),416,theory(equality)]),657,theory(equality)]) ).

cnf(5281,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5280,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),276,theory(equality)]) ).

cnf(5282,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5281,theory(equality)]) ).

cnf(5294,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n8,succ(n11)),sum(pred(n11),n10)) != sum(n18,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[5072,5282,theory(equality)]) ).

cnf(5297,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n19 != sum(n18,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5294,688,theory(equality)]),477,theory(equality)]),667,theory(equality)]),437,theory(equality)]),217,theory(equality)]) ).

cnf(5298,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5297,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),278,theory(equality)]) ).

cnf(5299,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[5298,theory(equality)]) ).

cnf(5310,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n10)),sum(pred(n10),n10)) != sum(n18,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[5072,5299,theory(equality)]) ).

cnf(5313,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n17 != sum(n18,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5310,689,theory(equality)]),478,theory(equality)]),668,theory(equality)]),458,theory(equality)]),239,theory(equality)]) ).

cnf(5314,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5313,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),259,theory(equality)]) ).

cnf(5315,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5314,theory(equality)]) ).

cnf(5325,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n8,succ(n9)),sum(pred(n9),n10)) != sum(n18,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[5072,5315,theory(equality)]) ).

cnf(5328,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n15 != sum(n18,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5325,690,theory(equality)]),479,theory(equality)]),669,theory(equality)]),479,theory(equality)]),261,theory(equality)]) ).

cnf(5329,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5328,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),261,theory(equality)]) ).

cnf(5330,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[5329,theory(equality)]) ).

cnf(5339,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n8)),sum(pred(n8),n10)) != sum(n18,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[5072,5330,theory(equality)]) ).

cnf(5342,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n13 != sum(n18,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5339,691,theory(equality)]),480,theory(equality)]),670,theory(equality)]),500,theory(equality)]),283,theory(equality)]) ).

cnf(5343,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5342,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),263,theory(equality)]) ).

cnf(5344,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5343,theory(equality)]) ).

cnf(5352,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n8,succ(n7)),sum(pred(n7),n10)) != sum(n18,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[5072,5344,theory(equality)]) ).

cnf(5355,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n11 != sum(n18,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5352,692,theory(equality)]),481,theory(equality)]),671,theory(equality)]),521,theory(equality)]),305,theory(equality)]) ).

cnf(5356,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5355,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),265,theory(equality)]) ).

cnf(5357,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[5356,theory(equality)]) ).

cnf(5364,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n6)),sum(pred(n6),n10)) != sum(n18,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[5072,5357,theory(equality)]) ).

cnf(5367,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n9 != sum(n18,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5364,693,theory(equality)]),482,theory(equality)]),672,theory(equality)]),542,theory(equality)]),327,theory(equality)]) ).

cnf(5368,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5367,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),267,theory(equality)]) ).

cnf(5369,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5368,theory(equality)]) ).

cnf(5375,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n8,succ(n5)),sum(pred(n5),n10)) != sum(n18,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[5072,5369,theory(equality)]) ).

cnf(5378,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n7 != sum(n18,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5375,694,theory(equality)]),483,theory(equality)]),673,theory(equality)]),563,theory(equality)]),349,theory(equality)]) ).

cnf(5379,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5378,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),269,theory(equality)]) ).

cnf(5380,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[5379,theory(equality)]) ).

cnf(5385,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n4)),sum(pred(n4),n10)) != sum(n18,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[5072,5380,theory(equality)]) ).

cnf(5388,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n5 != sum(n18,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5385,695,theory(equality)]),484,theory(equality)]),674,theory(equality)]),584,theory(equality)]),371,theory(equality)]) ).

cnf(5389,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5388,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),271,theory(equality)]) ).

cnf(5390,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5389,theory(equality)]) ).

cnf(5394,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n8,succ(n3)),sum(pred(n3),n10)) != sum(n18,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[5072,5390,theory(equality)]) ).

cnf(5397,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | n3 != sum(n18,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5394,696,theory(equality)]),485,theory(equality)]),675,theory(equality)]),605,theory(equality)]),393,theory(equality)]) ).

cnf(5398,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5397,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),273,theory(equality)]) ).

cnf(5399,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[5398,theory(equality)]) ).

cnf(5402,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | sum(sum(n8,succ(n2)),sum(pred(n2),n10)) != sum(n18,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[5072,5399,theory(equality)]) ).

cnf(5405,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | n1 != sum(n18,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5402,697,theory(equality)]),486,theory(equality)]),676,theory(equality)]),626,theory(equality)]),415,theory(equality)]) ).

cnf(5406,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5405,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),275,theory(equality)]) ).

cnf(5407,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5406,theory(equality)]) ).

cnf(5409,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | sum(sum(n8,succ(n1)),sum(pred(n1),n10)) != sum(n18,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[5072,5407,theory(equality)]) ).

cnf(5412,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | n20 != sum(n18,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5409,698,theory(equality)]),487,theory(equality)]),677,theory(equality)]),647,theory(equality)]),437,theory(equality)]) ).

cnf(5413,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5412,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),277,theory(equality)]) ).

cnf(5414,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8 ),
    inference(cn,[status(thm)],[5413,theory(equality)]) ).

cnf(5422,plain,
    ( esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n8),succ(esk2_0)),sum(pred(esk2_0),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,5414,theory(equality)]) ).

cnf(5423,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n8),n1),sum(n20,succ(n8))) != sum(sum(pred(n8),succ(n8)),n0) ),
    inference(spm,[status(thm)],[745,5414,theory(equality)]) ).

cnf(5424,plain,
    ( esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n7,succ(esk2_0)),sum(pred(esk2_0),n9)) != sum(sum(pred(n8),succ(n8)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[5422,670,theory(equality)]),691,theory(equality)]) ).

cnf(5425,plain,
    ( esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n7,succ(esk2_0)),sum(pred(esk2_0),n9)) != sum(n16,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5424,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]) ).

cnf(5426,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n16 != sum(sum(pred(n8),succ(n8)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5423,670,theory(equality)]),509,theory(equality)]),691,theory(equality)]),228,theory(equality)]),481,theory(equality)]) ).

cnf(5427,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5426,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),321,theory(equality)]) ).

cnf(5428,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[5427,theory(equality)]) ).

cnf(5453,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n20)),sum(pred(n20),n9)) != sum(n16,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[5425,5428,theory(equality)]) ).

cnf(5456,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n16,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5453,679,theory(equality)]),510,theory(equality)]),658,theory(equality)]),249,theory(equality)]),503,theory(equality)]) ).

cnf(5457,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5456,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),302,theory(equality)]) ).

cnf(5458,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5457,theory(equality)]) ).

cnf(5478,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n7,succ(n19)),sum(pred(n19),n9)) != sum(n16,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[5425,5458,theory(equality)]) ).

cnf(5481,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n12 != sum(n16,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5478,680,theory(equality)]),490,theory(equality)]),659,theory(equality)]),270,theory(equality)]),525,theory(equality)]) ).

cnf(5482,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5481,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),304,theory(equality)]) ).

cnf(5483,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[5482,theory(equality)]) ).

cnf(5503,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n18)),sum(pred(n18),n9)) != sum(n16,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[5425,5483,theory(equality)]) ).

cnf(5506,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n16,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5503,681,theory(equality)]),491,theory(equality)]),660,theory(equality)]),291,theory(equality)]),547,theory(equality)]) ).

cnf(5507,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5506,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),306,theory(equality)]) ).

cnf(5508,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5507,theory(equality)]) ).

cnf(5526,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n7,succ(n17)),sum(pred(n17),n9)) != sum(n16,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[5425,5508,theory(equality)]) ).

cnf(5529,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n8 != sum(n16,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5526,682,theory(equality)]),492,theory(equality)]),661,theory(equality)]),312,theory(equality)]),569,theory(equality)]) ).

cnf(5530,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5529,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),308,theory(equality)]) ).

cnf(5531,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[5530,theory(equality)]) ).

cnf(5548,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n16)),sum(pred(n16),n9)) != sum(n16,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[5425,5531,theory(equality)]) ).

cnf(5551,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n16,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5548,683,theory(equality)]),493,theory(equality)]),662,theory(equality)]),333,theory(equality)]),591,theory(equality)]) ).

cnf(5552,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5551,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),310,theory(equality)]) ).

cnf(5553,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5552,theory(equality)]) ).

cnf(5569,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n7,succ(n15)),sum(pred(n15),n9)) != sum(n16,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[5425,5553,theory(equality)]) ).

cnf(5572,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n4 != sum(n16,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5569,684,theory(equality)]),494,theory(equality)]),663,theory(equality)]),354,theory(equality)]),613,theory(equality)]) ).

cnf(5573,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5572,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),312,theory(equality)]) ).

cnf(5574,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[5573,theory(equality)]) ).

cnf(5589,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n14)),sum(pred(n14),n9)) != sum(n16,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[5425,5574,theory(equality)]) ).

cnf(5592,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n16,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5589,685,theory(equality)]),495,theory(equality)]),664,theory(equality)]),375,theory(equality)]),635,theory(equality)]) ).

cnf(5593,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5592,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),314,theory(equality)]) ).

cnf(5594,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5593,theory(equality)]) ).

cnf(5608,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n7,succ(n13)),sum(pred(n13),n9)) != sum(n16,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[5425,5594,theory(equality)]) ).

cnf(5611,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n0 != sum(n16,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5608,686,theory(equality)]),496,theory(equality)]),665,theory(equality)]),396,theory(equality)]),657,theory(equality)]) ).

cnf(5612,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5611,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),316,theory(equality)]) ).

cnf(5613,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[5612,theory(equality)]) ).

cnf(5626,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n12)),sum(pred(n12),n9)) != sum(n16,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[5425,5613,theory(equality)]) ).

cnf(5629,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n19 != sum(n16,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5626,687,theory(equality)]),497,theory(equality)]),666,theory(equality)]),417,theory(equality)]),217,theory(equality)]) ).

cnf(5630,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5629,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),318,theory(equality)]) ).

cnf(5631,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5630,theory(equality)]) ).

cnf(5643,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n7,succ(n11)),sum(pred(n11),n9)) != sum(n16,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[5425,5631,theory(equality)]) ).

cnf(5646,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n17 != sum(n16,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5643,688,theory(equality)]),498,theory(equality)]),667,theory(equality)]),438,theory(equality)]),239,theory(equality)]) ).

cnf(5647,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5646,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),320,theory(equality)]) ).

cnf(5648,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[5647,theory(equality)]) ).

cnf(5659,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n10)),sum(pred(n10),n9)) != sum(n16,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[5425,5648,theory(equality)]) ).

cnf(5662,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n15 != sum(n16,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5659,689,theory(equality)]),499,theory(equality)]),668,theory(equality)]),459,theory(equality)]),261,theory(equality)]) ).

cnf(5663,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5662,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),301,theory(equality)]) ).

cnf(5664,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5663,theory(equality)]) ).

cnf(5674,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n7,succ(n9)),sum(pred(n9),n9)) != sum(n16,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[5425,5664,theory(equality)]) ).

cnf(5677,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n13 != sum(n16,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5674,690,theory(equality)]),500,theory(equality)]),669,theory(equality)]),480,theory(equality)]),283,theory(equality)]) ).

cnf(5678,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5677,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),303,theory(equality)]) ).

cnf(5679,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[5678,theory(equality)]) ).

cnf(5688,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n8)),sum(pred(n8),n9)) != sum(n16,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[5425,5679,theory(equality)]) ).

cnf(5691,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n11 != sum(n16,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5688,691,theory(equality)]),501,theory(equality)]),670,theory(equality)]),501,theory(equality)]),305,theory(equality)]) ).

cnf(5692,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5691,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),305,theory(equality)]) ).

cnf(5693,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5692,theory(equality)]) ).

cnf(5701,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n7,succ(n7)),sum(pred(n7),n9)) != sum(n16,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[5425,5693,theory(equality)]) ).

cnf(5704,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n9 != sum(n16,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5701,692,theory(equality)]),502,theory(equality)]),671,theory(equality)]),522,theory(equality)]),327,theory(equality)]) ).

cnf(5705,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5704,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),307,theory(equality)]) ).

cnf(5706,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[5705,theory(equality)]) ).

cnf(5713,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n6)),sum(pred(n6),n9)) != sum(n16,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[5425,5706,theory(equality)]) ).

cnf(5716,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n7 != sum(n16,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5713,693,theory(equality)]),503,theory(equality)]),672,theory(equality)]),543,theory(equality)]),349,theory(equality)]) ).

cnf(5717,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5716,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),309,theory(equality)]) ).

cnf(5718,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5717,theory(equality)]) ).

cnf(5724,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n7,succ(n5)),sum(pred(n5),n9)) != sum(n16,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[5425,5718,theory(equality)]) ).

cnf(5727,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n5 != sum(n16,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5724,694,theory(equality)]),504,theory(equality)]),673,theory(equality)]),564,theory(equality)]),371,theory(equality)]) ).

cnf(5728,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5727,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),311,theory(equality)]) ).

cnf(5729,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[5728,theory(equality)]) ).

cnf(5734,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n4)),sum(pred(n4),n9)) != sum(n16,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[5425,5729,theory(equality)]) ).

cnf(5737,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n3 != sum(n16,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5734,695,theory(equality)]),505,theory(equality)]),674,theory(equality)]),585,theory(equality)]),393,theory(equality)]) ).

cnf(5738,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5737,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),313,theory(equality)]) ).

cnf(5739,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5738,theory(equality)]) ).

cnf(5743,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n7,succ(n3)),sum(pred(n3),n9)) != sum(n16,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[5425,5739,theory(equality)]) ).

cnf(5746,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | n1 != sum(n16,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5743,696,theory(equality)]),506,theory(equality)]),675,theory(equality)]),606,theory(equality)]),415,theory(equality)]) ).

cnf(5747,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5746,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),315,theory(equality)]) ).

cnf(5748,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[5747,theory(equality)]) ).

cnf(5751,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | sum(sum(n7,succ(n2)),sum(pred(n2),n9)) != sum(n16,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[5425,5748,theory(equality)]) ).

cnf(5754,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | n20 != sum(n16,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5751,697,theory(equality)]),507,theory(equality)]),676,theory(equality)]),627,theory(equality)]),437,theory(equality)]) ).

cnf(5755,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5754,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),317,theory(equality)]) ).

cnf(5756,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5755,theory(equality)]) ).

cnf(5758,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | sum(sum(n7,succ(n1)),sum(pred(n1),n9)) != sum(n16,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[5425,5756,theory(equality)]) ).

cnf(5761,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | n18 != sum(n16,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5758,698,theory(equality)]),508,theory(equality)]),677,theory(equality)]),648,theory(equality)]),459,theory(equality)]) ).

cnf(5762,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5761,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),319,theory(equality)]) ).

cnf(5763,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7 ),
    inference(cn,[status(thm)],[5762,theory(equality)]) ).

cnf(5770,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n7),succ(esk2_0)),sum(pred(esk2_0),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,5763,theory(equality)]) ).

cnf(5771,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n7),n1),sum(n20,succ(n7))) != sum(sum(pred(n7),succ(n7)),n0) ),
    inference(spm,[status(thm)],[745,5763,theory(equality)]) ).

cnf(5772,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n6,succ(esk2_0)),sum(pred(esk2_0),n8)) != sum(sum(pred(n7),succ(n7)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[5770,671,theory(equality)]),692,theory(equality)]) ).

cnf(5773,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n6,succ(esk2_0)),sum(pred(esk2_0),n8)) != sum(n14,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5772,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]) ).

cnf(5774,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n14 != sum(sum(pred(n7),succ(n7)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5771,671,theory(equality)]),530,theory(equality)]),692,theory(equality)]),229,theory(equality)]),503,theory(equality)]) ).

cnf(5775,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5774,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),363,theory(equality)]) ).

cnf(5776,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[5775,theory(equality)]) ).

cnf(5801,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n20)),sum(pred(n20),n8)) != sum(n14,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[5773,5776,theory(equality)]) ).

cnf(5804,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n14,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5801,679,theory(equality)]),531,theory(equality)]),658,theory(equality)]),250,theory(equality)]),525,theory(equality)]) ).

cnf(5805,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5804,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),344,theory(equality)]) ).

cnf(5806,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5805,theory(equality)]) ).

cnf(5826,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n6,succ(n19)),sum(pred(n19),n8)) != sum(n14,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[5773,5806,theory(equality)]) ).

cnf(5829,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n10 != sum(n14,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5826,680,theory(equality)]),511,theory(equality)]),659,theory(equality)]),271,theory(equality)]),547,theory(equality)]) ).

cnf(5830,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5829,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),346,theory(equality)]) ).

cnf(5831,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[5830,theory(equality)]) ).

cnf(5850,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n18)),sum(pred(n18),n8)) != sum(n14,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[5773,5831,theory(equality)]) ).

cnf(5853,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n14,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5850,681,theory(equality)]),512,theory(equality)]),660,theory(equality)]),292,theory(equality)]),569,theory(equality)]) ).

cnf(5854,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5853,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),348,theory(equality)]) ).

cnf(5855,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5854,theory(equality)]) ).

cnf(5873,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n6,succ(n17)),sum(pred(n17),n8)) != sum(n14,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[5773,5855,theory(equality)]) ).

cnf(5876,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n6 != sum(n14,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5873,682,theory(equality)]),513,theory(equality)]),661,theory(equality)]),313,theory(equality)]),591,theory(equality)]) ).

cnf(5877,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5876,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),350,theory(equality)]) ).

cnf(5878,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[5877,theory(equality)]) ).

cnf(5895,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n16)),sum(pred(n16),n8)) != sum(n14,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[5773,5878,theory(equality)]) ).

cnf(5898,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n14,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5895,683,theory(equality)]),514,theory(equality)]),662,theory(equality)]),334,theory(equality)]),613,theory(equality)]) ).

cnf(5899,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5898,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),352,theory(equality)]) ).

cnf(5900,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5899,theory(equality)]) ).

cnf(5916,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n6,succ(n15)),sum(pred(n15),n8)) != sum(n14,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[5773,5900,theory(equality)]) ).

cnf(5919,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n2 != sum(n14,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5916,684,theory(equality)]),515,theory(equality)]),663,theory(equality)]),355,theory(equality)]),635,theory(equality)]) ).

cnf(5920,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5919,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),354,theory(equality)]) ).

cnf(5921,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[5920,theory(equality)]) ).

cnf(5936,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n14)),sum(pred(n14),n8)) != sum(n14,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[5773,5921,theory(equality)]) ).

cnf(5939,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n14,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5936,685,theory(equality)]),516,theory(equality)]),664,theory(equality)]),376,theory(equality)]),657,theory(equality)]) ).

cnf(5940,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5939,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),356,theory(equality)]) ).

cnf(5941,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5940,theory(equality)]) ).

cnf(5961,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n6,succ(n13)),sum(pred(n13),n8)) != sum(n14,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[5773,5941,theory(equality)]) ).

cnf(5964,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n19 != sum(n14,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5961,686,theory(equality)]),517,theory(equality)]),665,theory(equality)]),397,theory(equality)]),217,theory(equality)]) ).

cnf(5965,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5964,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),358,theory(equality)]) ).

cnf(5966,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[5965,theory(equality)]) ).

cnf(5979,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n12)),sum(pred(n12),n8)) != sum(n14,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[5773,5966,theory(equality)]) ).

cnf(5982,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n17 != sum(n14,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5979,687,theory(equality)]),518,theory(equality)]),666,theory(equality)]),418,theory(equality)]),239,theory(equality)]) ).

cnf(5983,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5982,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),360,theory(equality)]) ).

cnf(5984,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5983,theory(equality)]) ).

cnf(5996,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n6,succ(n11)),sum(pred(n11),n8)) != sum(n14,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[5773,5984,theory(equality)]) ).

cnf(5999,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n15 != sum(n14,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5996,688,theory(equality)]),519,theory(equality)]),667,theory(equality)]),439,theory(equality)]),261,theory(equality)]) ).

cnf(6000,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5999,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),362,theory(equality)]) ).

cnf(6001,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[6000,theory(equality)]) ).

cnf(6012,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n10)),sum(pred(n10),n8)) != sum(n14,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[5773,6001,theory(equality)]) ).

cnf(6015,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n13 != sum(n14,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6012,689,theory(equality)]),520,theory(equality)]),668,theory(equality)]),460,theory(equality)]),283,theory(equality)]) ).

cnf(6016,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6015,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),343,theory(equality)]) ).

cnf(6017,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6016,theory(equality)]) ).

cnf(6027,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n6,succ(n9)),sum(pred(n9),n8)) != sum(n14,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[5773,6017,theory(equality)]) ).

cnf(6030,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n11 != sum(n14,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6027,690,theory(equality)]),521,theory(equality)]),669,theory(equality)]),481,theory(equality)]),305,theory(equality)]) ).

cnf(6031,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6030,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),345,theory(equality)]) ).

cnf(6032,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[6031,theory(equality)]) ).

cnf(6041,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n8)),sum(pred(n8),n8)) != sum(n14,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[5773,6032,theory(equality)]) ).

cnf(6044,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n9 != sum(n14,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6041,691,theory(equality)]),522,theory(equality)]),670,theory(equality)]),502,theory(equality)]),327,theory(equality)]) ).

cnf(6045,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6044,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),347,theory(equality)]) ).

cnf(6046,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6045,theory(equality)]) ).

cnf(6054,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n6,succ(n7)),sum(pred(n7),n8)) != sum(n14,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[5773,6046,theory(equality)]) ).

cnf(6057,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n7 != sum(n14,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6054,692,theory(equality)]),523,theory(equality)]),671,theory(equality)]),523,theory(equality)]),349,theory(equality)]) ).

cnf(6058,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6057,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),349,theory(equality)]) ).

cnf(6059,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[6058,theory(equality)]) ).

cnf(6066,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n6)),sum(pred(n6),n8)) != sum(n14,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[5773,6059,theory(equality)]) ).

cnf(6069,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n5 != sum(n14,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6066,693,theory(equality)]),524,theory(equality)]),672,theory(equality)]),544,theory(equality)]),371,theory(equality)]) ).

cnf(6070,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6069,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),351,theory(equality)]) ).

cnf(6071,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6070,theory(equality)]) ).

cnf(6077,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n6,succ(n5)),sum(pred(n5),n8)) != sum(n14,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[5773,6071,theory(equality)]) ).

cnf(6080,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n3 != sum(n14,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6077,694,theory(equality)]),525,theory(equality)]),673,theory(equality)]),565,theory(equality)]),393,theory(equality)]) ).

cnf(6081,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6080,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),353,theory(equality)]) ).

cnf(6082,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[6081,theory(equality)]) ).

cnf(6087,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n4)),sum(pred(n4),n8)) != sum(n14,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[5773,6082,theory(equality)]) ).

cnf(6090,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n1 != sum(n14,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6087,695,theory(equality)]),526,theory(equality)]),674,theory(equality)]),586,theory(equality)]),415,theory(equality)]) ).

cnf(6091,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6090,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),355,theory(equality)]) ).

cnf(6092,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6091,theory(equality)]) ).

cnf(6096,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n6,succ(n3)),sum(pred(n3),n8)) != sum(n14,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[5773,6092,theory(equality)]) ).

cnf(6099,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | n20 != sum(n14,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6096,696,theory(equality)]),527,theory(equality)]),675,theory(equality)]),607,theory(equality)]),437,theory(equality)]) ).

cnf(6100,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6099,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),357,theory(equality)]) ).

cnf(6101,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[6100,theory(equality)]) ).

cnf(6104,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | sum(sum(n6,succ(n2)),sum(pred(n2),n8)) != sum(n14,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[5773,6101,theory(equality)]) ).

cnf(6107,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | n18 != sum(n14,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6104,697,theory(equality)]),528,theory(equality)]),676,theory(equality)]),628,theory(equality)]),459,theory(equality)]) ).

cnf(6108,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6107,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),359,theory(equality)]) ).

cnf(6109,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6108,theory(equality)]) ).

cnf(6111,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | sum(sum(n6,succ(n1)),sum(pred(n1),n8)) != sum(n14,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[5773,6109,theory(equality)]) ).

cnf(6114,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | n16 != sum(n14,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6111,698,theory(equality)]),529,theory(equality)]),677,theory(equality)]),649,theory(equality)]),481,theory(equality)]) ).

cnf(6115,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6114,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),361,theory(equality)]) ).

cnf(6116,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(cn,[status(thm)],[6115,theory(equality)]) ).

cnf(6122,plain,
    ( esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n6),succ(esk2_0)),sum(pred(esk2_0),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,6116,theory(equality)]) ).

cnf(6123,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n6),n1),sum(n20,succ(n6))) != sum(sum(pred(n6),succ(n6)),n0) ),
    inference(spm,[status(thm)],[745,6116,theory(equality)]) ).

cnf(6124,plain,
    ( esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n5,succ(esk2_0)),sum(pred(esk2_0),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6122,672,theory(equality)]),693,theory(equality)]) ).

cnf(6125,plain,
    ( esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n5,succ(esk2_0)),sum(pred(esk2_0),n7)) != sum(n12,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6124,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]) ).

cnf(6126,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n12 != sum(sum(pred(n6),succ(n6)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6123,672,theory(equality)]),551,theory(equality)]),693,theory(equality)]),230,theory(equality)]),525,theory(equality)]) ).

cnf(6127,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6126,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),405,theory(equality)]) ).

cnf(6128,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[6127,theory(equality)]) ).

cnf(6153,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n20)),sum(pred(n20),n7)) != sum(n12,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[6125,6128,theory(equality)]) ).

cnf(6156,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n12,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6153,679,theory(equality)]),552,theory(equality)]),658,theory(equality)]),251,theory(equality)]),547,theory(equality)]) ).

cnf(6157,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6156,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),386,theory(equality)]) ).

cnf(6158,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6157,theory(equality)]) ).

cnf(6178,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n5,succ(n19)),sum(pred(n19),n7)) != sum(n12,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[6125,6158,theory(equality)]) ).

cnf(6181,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n8 != sum(n12,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6178,680,theory(equality)]),532,theory(equality)]),659,theory(equality)]),272,theory(equality)]),569,theory(equality)]) ).

cnf(6182,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6181,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),388,theory(equality)]) ).

cnf(6183,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[6182,theory(equality)]) ).

cnf(6202,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n18)),sum(pred(n18),n7)) != sum(n12,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[6125,6183,theory(equality)]) ).

cnf(6205,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n12,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6202,681,theory(equality)]),533,theory(equality)]),660,theory(equality)]),293,theory(equality)]),591,theory(equality)]) ).

cnf(6206,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6205,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),390,theory(equality)]) ).

cnf(6207,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6206,theory(equality)]) ).

cnf(6225,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n5,succ(n17)),sum(pred(n17),n7)) != sum(n12,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[6125,6207,theory(equality)]) ).

cnf(6228,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n4 != sum(n12,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6225,682,theory(equality)]),534,theory(equality)]),661,theory(equality)]),314,theory(equality)]),613,theory(equality)]) ).

cnf(6229,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6228,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),392,theory(equality)]) ).

cnf(6230,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[6229,theory(equality)]) ).

cnf(6247,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n16)),sum(pred(n16),n7)) != sum(n12,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[6125,6230,theory(equality)]) ).

cnf(6250,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n12,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6247,683,theory(equality)]),535,theory(equality)]),662,theory(equality)]),335,theory(equality)]),635,theory(equality)]) ).

cnf(6251,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6250,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),394,theory(equality)]) ).

cnf(6252,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6251,theory(equality)]) ).

cnf(6272,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n5,succ(n15)),sum(pred(n15),n7)) != sum(n12,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[6125,6252,theory(equality)]) ).

cnf(6275,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n0 != sum(n12,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6272,684,theory(equality)]),536,theory(equality)]),663,theory(equality)]),356,theory(equality)]),657,theory(equality)]) ).

cnf(6276,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6275,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),396,theory(equality)]) ).

cnf(6277,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[6276,theory(equality)]) ).

cnf(6292,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n14)),sum(pred(n14),n7)) != sum(n12,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[6125,6277,theory(equality)]) ).

cnf(6295,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n19 != sum(n12,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6292,685,theory(equality)]),537,theory(equality)]),664,theory(equality)]),377,theory(equality)]),217,theory(equality)]) ).

cnf(6296,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6295,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),398,theory(equality)]) ).

cnf(6297,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6296,theory(equality)]) ).

cnf(6311,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n5,succ(n13)),sum(pred(n13),n7)) != sum(n12,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[6125,6297,theory(equality)]) ).

cnf(6314,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n17 != sum(n12,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6311,686,theory(equality)]),538,theory(equality)]),665,theory(equality)]),398,theory(equality)]),239,theory(equality)]) ).

cnf(6315,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6314,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),400,theory(equality)]) ).

cnf(6316,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[6315,theory(equality)]) ).

cnf(6329,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n12)),sum(pred(n12),n7)) != sum(n12,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[6125,6316,theory(equality)]) ).

cnf(6332,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n15 != sum(n12,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6329,687,theory(equality)]),539,theory(equality)]),666,theory(equality)]),419,theory(equality)]),261,theory(equality)]) ).

cnf(6333,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6332,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),402,theory(equality)]) ).

cnf(6334,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6333,theory(equality)]) ).

cnf(6346,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n5,succ(n11)),sum(pred(n11),n7)) != sum(n12,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[6125,6334,theory(equality)]) ).

cnf(6349,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n13 != sum(n12,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6346,688,theory(equality)]),540,theory(equality)]),667,theory(equality)]),440,theory(equality)]),283,theory(equality)]) ).

cnf(6350,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6349,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),404,theory(equality)]) ).

cnf(6351,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[6350,theory(equality)]) ).

cnf(6362,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n10)),sum(pred(n10),n7)) != sum(n12,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[6125,6351,theory(equality)]) ).

cnf(6365,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n11 != sum(n12,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6362,689,theory(equality)]),541,theory(equality)]),668,theory(equality)]),461,theory(equality)]),305,theory(equality)]) ).

cnf(6366,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6365,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),385,theory(equality)]) ).

cnf(6367,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6366,theory(equality)]) ).

cnf(6377,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n5,succ(n9)),sum(pred(n9),n7)) != sum(n12,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[6125,6367,theory(equality)]) ).

cnf(6380,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n9 != sum(n12,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6377,690,theory(equality)]),542,theory(equality)]),669,theory(equality)]),482,theory(equality)]),327,theory(equality)]) ).

cnf(6381,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6380,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),387,theory(equality)]) ).

cnf(6382,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[6381,theory(equality)]) ).

cnf(6391,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n8)),sum(pred(n8),n7)) != sum(n12,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[6125,6382,theory(equality)]) ).

cnf(6394,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n7 != sum(n12,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6391,691,theory(equality)]),543,theory(equality)]),670,theory(equality)]),503,theory(equality)]),349,theory(equality)]) ).

cnf(6395,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6394,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),389,theory(equality)]) ).

cnf(6396,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6395,theory(equality)]) ).

cnf(6404,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n5,succ(n7)),sum(pred(n7),n7)) != sum(n12,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[6125,6396,theory(equality)]) ).

cnf(6407,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n5 != sum(n12,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6404,692,theory(equality)]),544,theory(equality)]),671,theory(equality)]),524,theory(equality)]),371,theory(equality)]) ).

cnf(6408,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6407,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),391,theory(equality)]) ).

cnf(6409,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[6408,theory(equality)]) ).

cnf(6416,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n6)),sum(pred(n6),n7)) != sum(n12,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[6125,6409,theory(equality)]) ).

cnf(6419,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n3 != sum(n12,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6416,693,theory(equality)]),545,theory(equality)]),672,theory(equality)]),545,theory(equality)]),393,theory(equality)]) ).

cnf(6420,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6419,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),393,theory(equality)]) ).

cnf(6421,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6420,theory(equality)]) ).

cnf(6427,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n5,succ(n5)),sum(pred(n5),n7)) != sum(n12,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[6125,6421,theory(equality)]) ).

cnf(6430,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n1 != sum(n12,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6427,694,theory(equality)]),546,theory(equality)]),673,theory(equality)]),566,theory(equality)]),415,theory(equality)]) ).

cnf(6431,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6430,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),395,theory(equality)]) ).

cnf(6432,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[6431,theory(equality)]) ).

cnf(6437,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n4)),sum(pred(n4),n7)) != sum(n12,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[6125,6432,theory(equality)]) ).

cnf(6440,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n12,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6437,695,theory(equality)]),547,theory(equality)]),674,theory(equality)]),587,theory(equality)]),437,theory(equality)]) ).

cnf(6441,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6440,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),397,theory(equality)]) ).

cnf(6442,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6441,theory(equality)]) ).

cnf(6446,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n5,succ(n3)),sum(pred(n3),n7)) != sum(n12,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[6125,6442,theory(equality)]) ).

cnf(6449,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | n18 != sum(n12,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6446,696,theory(equality)]),548,theory(equality)]),675,theory(equality)]),608,theory(equality)]),459,theory(equality)]) ).

cnf(6450,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6449,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),399,theory(equality)]) ).

cnf(6451,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[6450,theory(equality)]) ).

cnf(6454,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | sum(sum(n5,succ(n2)),sum(pred(n2),n7)) != sum(n12,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[6125,6451,theory(equality)]) ).

cnf(6457,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | n16 != sum(n12,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6454,697,theory(equality)]),549,theory(equality)]),676,theory(equality)]),629,theory(equality)]),481,theory(equality)]) ).

cnf(6458,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6457,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),401,theory(equality)]) ).

cnf(6459,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6458,theory(equality)]) ).

cnf(6461,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | sum(sum(n5,succ(n1)),sum(pred(n1),n7)) != sum(n12,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[6125,6459,theory(equality)]) ).

cnf(6464,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | n14 != sum(n12,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6461,698,theory(equality)]),550,theory(equality)]),677,theory(equality)]),650,theory(equality)]),503,theory(equality)]) ).

cnf(6465,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6464,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),403,theory(equality)]) ).

cnf(6466,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5 ),
    inference(cn,[status(thm)],[6465,theory(equality)]) ).

cnf(6471,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n5),succ(esk2_0)),sum(pred(esk2_0),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,6466,theory(equality)]) ).

cnf(6472,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n5),n1),sum(n20,succ(n5))) != sum(sum(pred(n5),succ(n5)),n0) ),
    inference(spm,[status(thm)],[745,6466,theory(equality)]) ).

cnf(6473,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n4,succ(esk2_0)),sum(pred(esk2_0),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6471,673,theory(equality)]),694,theory(equality)]) ).

cnf(6474,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n4,succ(esk2_0)),sum(pred(esk2_0),n6)) != sum(n10,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6473,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]) ).

cnf(6475,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n10 != sum(sum(pred(n5),succ(n5)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6472,673,theory(equality)]),572,theory(equality)]),694,theory(equality)]),231,theory(equality)]),547,theory(equality)]) ).

cnf(6476,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6475,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),447,theory(equality)]) ).

cnf(6477,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[6476,theory(equality)]) ).

cnf(6502,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n20)),sum(pred(n20),n6)) != sum(n10,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[6474,6477,theory(equality)]) ).

cnf(6505,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n10,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6502,679,theory(equality)]),573,theory(equality)]),658,theory(equality)]),252,theory(equality)]),569,theory(equality)]) ).

cnf(6506,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6505,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),428,theory(equality)]) ).

cnf(6507,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6506,theory(equality)]) ).

cnf(6527,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n4,succ(n19)),sum(pred(n19),n6)) != sum(n10,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[6474,6507,theory(equality)]) ).

cnf(6530,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n6 != sum(n10,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6527,680,theory(equality)]),553,theory(equality)]),659,theory(equality)]),273,theory(equality)]),591,theory(equality)]) ).

cnf(6531,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6530,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),430,theory(equality)]) ).

cnf(6532,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[6531,theory(equality)]) ).

cnf(6551,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n18)),sum(pred(n18),n6)) != sum(n10,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[6474,6532,theory(equality)]) ).

cnf(6554,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n10,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6551,681,theory(equality)]),554,theory(equality)]),660,theory(equality)]),294,theory(equality)]),613,theory(equality)]) ).

cnf(6555,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6554,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),432,theory(equality)]) ).

cnf(6556,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6555,theory(equality)]) ).

cnf(6574,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n4,succ(n17)),sum(pred(n17),n6)) != sum(n10,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[6474,6556,theory(equality)]) ).

cnf(6577,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n2 != sum(n10,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6574,682,theory(equality)]),555,theory(equality)]),661,theory(equality)]),315,theory(equality)]),635,theory(equality)]) ).

cnf(6578,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6577,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),434,theory(equality)]) ).

cnf(6579,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[6578,theory(equality)]) ).

cnf(6599,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n16)),sum(pred(n16),n6)) != sum(n10,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[6474,6579,theory(equality)]) ).

cnf(6602,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n10,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6599,683,theory(equality)]),556,theory(equality)]),662,theory(equality)]),336,theory(equality)]),657,theory(equality)]) ).

cnf(6603,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6602,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),436,theory(equality)]) ).

cnf(6604,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6603,theory(equality)]) ).

cnf(6620,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n4,succ(n15)),sum(pred(n15),n6)) != sum(n10,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[6474,6604,theory(equality)]) ).

cnf(6623,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n19 != sum(n10,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6620,684,theory(equality)]),557,theory(equality)]),663,theory(equality)]),357,theory(equality)]),217,theory(equality)]) ).

cnf(6624,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6623,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),438,theory(equality)]) ).

cnf(6625,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[6624,theory(equality)]) ).

cnf(6640,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n14)),sum(pred(n14),n6)) != sum(n10,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[6474,6625,theory(equality)]) ).

cnf(6643,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n17 != sum(n10,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6640,685,theory(equality)]),558,theory(equality)]),664,theory(equality)]),378,theory(equality)]),239,theory(equality)]) ).

cnf(6644,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6643,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),440,theory(equality)]) ).

cnf(6645,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6644,theory(equality)]) ).

cnf(6659,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n4,succ(n13)),sum(pred(n13),n6)) != sum(n10,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[6474,6645,theory(equality)]) ).

cnf(6662,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n15 != sum(n10,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6659,686,theory(equality)]),559,theory(equality)]),665,theory(equality)]),399,theory(equality)]),261,theory(equality)]) ).

cnf(6663,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6662,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),442,theory(equality)]) ).

cnf(6664,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[6663,theory(equality)]) ).

cnf(6677,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n12)),sum(pred(n12),n6)) != sum(n10,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[6474,6664,theory(equality)]) ).

cnf(6680,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n13 != sum(n10,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6677,687,theory(equality)]),560,theory(equality)]),666,theory(equality)]),420,theory(equality)]),283,theory(equality)]) ).

cnf(6681,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6680,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),444,theory(equality)]) ).

cnf(6682,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6681,theory(equality)]) ).

cnf(6694,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n4,succ(n11)),sum(pred(n11),n6)) != sum(n10,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[6474,6682,theory(equality)]) ).

cnf(6697,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n11 != sum(n10,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6694,688,theory(equality)]),561,theory(equality)]),667,theory(equality)]),441,theory(equality)]),305,theory(equality)]) ).

cnf(6698,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6697,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),446,theory(equality)]) ).

cnf(6699,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[6698,theory(equality)]) ).

cnf(6710,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n10)),sum(pred(n10),n6)) != sum(n10,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[6474,6699,theory(equality)]) ).

cnf(6713,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n9 != sum(n10,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6710,689,theory(equality)]),562,theory(equality)]),668,theory(equality)]),462,theory(equality)]),327,theory(equality)]) ).

cnf(6714,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6713,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),427,theory(equality)]) ).

cnf(6715,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6714,theory(equality)]) ).

cnf(6725,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n4,succ(n9)),sum(pred(n9),n6)) != sum(n10,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[6474,6715,theory(equality)]) ).

cnf(6728,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n7 != sum(n10,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6725,690,theory(equality)]),563,theory(equality)]),669,theory(equality)]),483,theory(equality)]),349,theory(equality)]) ).

cnf(6729,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6728,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),429,theory(equality)]) ).

cnf(6730,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[6729,theory(equality)]) ).

cnf(6739,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n8)),sum(pred(n8),n6)) != sum(n10,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[6474,6730,theory(equality)]) ).

cnf(6742,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n5 != sum(n10,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6739,691,theory(equality)]),564,theory(equality)]),670,theory(equality)]),504,theory(equality)]),371,theory(equality)]) ).

cnf(6743,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6742,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),431,theory(equality)]) ).

cnf(6744,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6743,theory(equality)]) ).

cnf(6752,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n4,succ(n7)),sum(pred(n7),n6)) != sum(n10,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[6474,6744,theory(equality)]) ).

cnf(6755,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n3 != sum(n10,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6752,692,theory(equality)]),565,theory(equality)]),671,theory(equality)]),525,theory(equality)]),393,theory(equality)]) ).

cnf(6756,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6755,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),433,theory(equality)]) ).

cnf(6757,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[6756,theory(equality)]) ).

cnf(6764,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n6)),sum(pred(n6),n6)) != sum(n10,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[6474,6757,theory(equality)]) ).

cnf(6767,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n1 != sum(n10,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6764,693,theory(equality)]),566,theory(equality)]),672,theory(equality)]),546,theory(equality)]),415,theory(equality)]) ).

cnf(6768,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6767,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),435,theory(equality)]) ).

cnf(6769,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6768,theory(equality)]) ).

cnf(6775,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n4,succ(n5)),sum(pred(n5),n6)) != sum(n10,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[6474,6769,theory(equality)]) ).

cnf(6778,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n20 != sum(n10,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6775,694,theory(equality)]),567,theory(equality)]),673,theory(equality)]),567,theory(equality)]),437,theory(equality)]) ).

cnf(6779,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6778,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),437,theory(equality)]) ).

cnf(6780,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[6779,theory(equality)]) ).

cnf(6785,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n4)),sum(pred(n4),n6)) != sum(n10,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[6474,6780,theory(equality)]) ).

cnf(6788,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n10,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6785,695,theory(equality)]),568,theory(equality)]),674,theory(equality)]),588,theory(equality)]),459,theory(equality)]) ).

cnf(6789,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6788,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),439,theory(equality)]) ).

cnf(6790,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6789,theory(equality)]) ).

cnf(6794,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n4,succ(n3)),sum(pred(n3),n6)) != sum(n10,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[6474,6790,theory(equality)]) ).

cnf(6797,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | n16 != sum(n10,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6794,696,theory(equality)]),569,theory(equality)]),675,theory(equality)]),609,theory(equality)]),481,theory(equality)]) ).

cnf(6798,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6797,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),441,theory(equality)]) ).

cnf(6799,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[6798,theory(equality)]) ).

cnf(6802,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | sum(sum(n4,succ(n2)),sum(pred(n2),n6)) != sum(n10,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[6474,6799,theory(equality)]) ).

cnf(6805,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | n14 != sum(n10,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6802,697,theory(equality)]),570,theory(equality)]),676,theory(equality)]),630,theory(equality)]),503,theory(equality)]) ).

cnf(6806,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6805,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),443,theory(equality)]) ).

cnf(6807,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6806,theory(equality)]) ).

cnf(6809,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | sum(sum(n4,succ(n1)),sum(pred(n1),n6)) != sum(n10,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[6474,6807,theory(equality)]) ).

cnf(6812,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | n12 != sum(n10,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6809,698,theory(equality)]),571,theory(equality)]),677,theory(equality)]),651,theory(equality)]),525,theory(equality)]) ).

cnf(6813,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6812,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),445,theory(equality)]) ).

cnf(6814,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(cn,[status(thm)],[6813,theory(equality)]) ).

cnf(6826,plain,
    ( esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n4),succ(esk2_0)),sum(pred(esk2_0),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,6814,theory(equality)]) ).

cnf(6827,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n4),n1),sum(n20,succ(n4))) != sum(sum(pred(n4),succ(n4)),n0) ),
    inference(spm,[status(thm)],[745,6814,theory(equality)]) ).

cnf(6828,plain,
    ( esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n3,succ(esk2_0)),sum(pred(esk2_0),n5)) != sum(sum(pred(n4),succ(n4)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6826,674,theory(equality)]),695,theory(equality)]) ).

cnf(6829,plain,
    ( esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n3,succ(esk2_0)),sum(pred(esk2_0),n5)) != sum(n8,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6828,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]) ).

cnf(6830,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n8 != sum(sum(pred(n4),succ(n4)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6827,674,theory(equality)]),593,theory(equality)]),695,theory(equality)]),232,theory(equality)]),569,theory(equality)]) ).

cnf(6831,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6830,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),489,theory(equality)]) ).

cnf(6832,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[6831,theory(equality)]) ).

cnf(6857,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n20)),sum(pred(n20),n5)) != sum(n8,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[6829,6832,theory(equality)]) ).

cnf(6860,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n8,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6857,679,theory(equality)]),594,theory(equality)]),658,theory(equality)]),253,theory(equality)]),591,theory(equality)]) ).

cnf(6861,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6860,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),470,theory(equality)]) ).

cnf(6862,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6861,theory(equality)]) ).

cnf(6882,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n3,succ(n19)),sum(pred(n19),n5)) != sum(n8,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[6829,6862,theory(equality)]) ).

cnf(6885,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n4 != sum(n8,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6882,680,theory(equality)]),574,theory(equality)]),659,theory(equality)]),274,theory(equality)]),613,theory(equality)]) ).

cnf(6886,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6885,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),472,theory(equality)]) ).

cnf(6887,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[6886,theory(equality)]) ).

cnf(6906,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n18)),sum(pred(n18),n5)) != sum(n8,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[6829,6887,theory(equality)]) ).

cnf(6909,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n8,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6906,681,theory(equality)]),575,theory(equality)]),660,theory(equality)]),295,theory(equality)]),635,theory(equality)]) ).

cnf(6910,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6909,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),474,theory(equality)]) ).

cnf(6911,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6910,theory(equality)]) ).

cnf(6931,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n3,succ(n17)),sum(pred(n17),n5)) != sum(n8,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[6829,6911,theory(equality)]) ).

cnf(6934,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n0 != sum(n8,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6931,682,theory(equality)]),576,theory(equality)]),661,theory(equality)]),316,theory(equality)]),657,theory(equality)]) ).

cnf(6935,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6934,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),476,theory(equality)]) ).

cnf(6936,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[6935,theory(equality)]) ).

cnf(6953,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n16)),sum(pred(n16),n5)) != sum(n8,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[6829,6936,theory(equality)]) ).

cnf(6956,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n19 != sum(n8,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6953,683,theory(equality)]),577,theory(equality)]),662,theory(equality)]),337,theory(equality)]),217,theory(equality)]) ).

cnf(6957,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6956,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),478,theory(equality)]) ).

cnf(6958,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6957,theory(equality)]) ).

cnf(6974,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n3,succ(n15)),sum(pred(n15),n5)) != sum(n8,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[6829,6958,theory(equality)]) ).

cnf(6977,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n17 != sum(n8,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6974,684,theory(equality)]),578,theory(equality)]),663,theory(equality)]),358,theory(equality)]),239,theory(equality)]) ).

cnf(6978,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6977,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),480,theory(equality)]) ).

cnf(6979,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[6978,theory(equality)]) ).

cnf(6994,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n14)),sum(pred(n14),n5)) != sum(n8,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[6829,6979,theory(equality)]) ).

cnf(6997,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n15 != sum(n8,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6994,685,theory(equality)]),579,theory(equality)]),664,theory(equality)]),379,theory(equality)]),261,theory(equality)]) ).

cnf(6998,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6997,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),482,theory(equality)]) ).

cnf(6999,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6998,theory(equality)]) ).

cnf(7013,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n3,succ(n13)),sum(pred(n13),n5)) != sum(n8,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[6829,6999,theory(equality)]) ).

cnf(7016,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n13 != sum(n8,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7013,686,theory(equality)]),580,theory(equality)]),665,theory(equality)]),400,theory(equality)]),283,theory(equality)]) ).

cnf(7017,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7016,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),484,theory(equality)]) ).

cnf(7018,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[7017,theory(equality)]) ).

cnf(7031,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n12)),sum(pred(n12),n5)) != sum(n8,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[6829,7018,theory(equality)]) ).

cnf(7034,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n11 != sum(n8,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7031,687,theory(equality)]),581,theory(equality)]),666,theory(equality)]),421,theory(equality)]),305,theory(equality)]) ).

cnf(7035,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7034,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),486,theory(equality)]) ).

cnf(7036,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7035,theory(equality)]) ).

cnf(7048,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n3,succ(n11)),sum(pred(n11),n5)) != sum(n8,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[6829,7036,theory(equality)]) ).

cnf(7051,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n9 != sum(n8,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7048,688,theory(equality)]),582,theory(equality)]),667,theory(equality)]),442,theory(equality)]),327,theory(equality)]) ).

cnf(7052,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7051,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),488,theory(equality)]) ).

cnf(7053,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[7052,theory(equality)]) ).

cnf(7064,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n10)),sum(pred(n10),n5)) != sum(n8,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[6829,7053,theory(equality)]) ).

cnf(7067,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n7 != sum(n8,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7064,689,theory(equality)]),583,theory(equality)]),668,theory(equality)]),463,theory(equality)]),349,theory(equality)]) ).

cnf(7068,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7067,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),469,theory(equality)]) ).

cnf(7069,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7068,theory(equality)]) ).

cnf(7079,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n3,succ(n9)),sum(pred(n9),n5)) != sum(n8,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[6829,7069,theory(equality)]) ).

cnf(7082,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n5 != sum(n8,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7079,690,theory(equality)]),584,theory(equality)]),669,theory(equality)]),484,theory(equality)]),371,theory(equality)]) ).

cnf(7083,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7082,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),471,theory(equality)]) ).

cnf(7084,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[7083,theory(equality)]) ).

cnf(7093,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n8)),sum(pred(n8),n5)) != sum(n8,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[6829,7084,theory(equality)]) ).

cnf(7096,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n3 != sum(n8,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7093,691,theory(equality)]),585,theory(equality)]),670,theory(equality)]),505,theory(equality)]),393,theory(equality)]) ).

cnf(7097,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7096,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),473,theory(equality)]) ).

cnf(7098,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7097,theory(equality)]) ).

cnf(7106,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n3,succ(n7)),sum(pred(n7),n5)) != sum(n8,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[6829,7098,theory(equality)]) ).

cnf(7109,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n1 != sum(n8,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7106,692,theory(equality)]),586,theory(equality)]),671,theory(equality)]),526,theory(equality)]),415,theory(equality)]) ).

cnf(7110,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7109,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),475,theory(equality)]) ).

cnf(7111,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[7110,theory(equality)]) ).

cnf(7118,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n6)),sum(pred(n6),n5)) != sum(n8,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[6829,7111,theory(equality)]) ).

cnf(7121,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n8,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7118,693,theory(equality)]),587,theory(equality)]),672,theory(equality)]),547,theory(equality)]),437,theory(equality)]) ).

cnf(7122,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7121,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),477,theory(equality)]) ).

cnf(7123,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7122,theory(equality)]) ).

cnf(7129,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n3,succ(n5)),sum(pred(n5),n5)) != sum(n8,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[6829,7123,theory(equality)]) ).

cnf(7132,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n18 != sum(n8,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7129,694,theory(equality)]),588,theory(equality)]),673,theory(equality)]),568,theory(equality)]),459,theory(equality)]) ).

cnf(7133,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7132,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),479,theory(equality)]) ).

cnf(7134,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[7133,theory(equality)]) ).

cnf(7139,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n4)),sum(pred(n4),n5)) != sum(n8,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[6829,7134,theory(equality)]) ).

cnf(7142,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n8,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7139,695,theory(equality)]),589,theory(equality)]),674,theory(equality)]),589,theory(equality)]),481,theory(equality)]) ).

cnf(7143,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7142,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),481,theory(equality)]) ).

cnf(7144,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7143,theory(equality)]) ).

cnf(7148,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n3,succ(n3)),sum(pred(n3),n5)) != sum(n8,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[6829,7144,theory(equality)]) ).

cnf(7151,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | n14 != sum(n8,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7148,696,theory(equality)]),590,theory(equality)]),675,theory(equality)]),610,theory(equality)]),503,theory(equality)]) ).

cnf(7152,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7151,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),483,theory(equality)]) ).

cnf(7153,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[7152,theory(equality)]) ).

cnf(7156,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | sum(sum(n3,succ(n2)),sum(pred(n2),n5)) != sum(n8,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[6829,7153,theory(equality)]) ).

cnf(7159,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | n12 != sum(n8,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7156,697,theory(equality)]),591,theory(equality)]),676,theory(equality)]),631,theory(equality)]),525,theory(equality)]) ).

cnf(7160,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7159,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),485,theory(equality)]) ).

cnf(7161,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7160,theory(equality)]) ).

cnf(7163,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | sum(sum(n3,succ(n1)),sum(pred(n1),n5)) != sum(n8,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[6829,7161,theory(equality)]) ).

cnf(7166,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | n10 != sum(n8,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7163,698,theory(equality)]),592,theory(equality)]),677,theory(equality)]),652,theory(equality)]),547,theory(equality)]) ).

cnf(7167,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7166,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),487,theory(equality)]) ).

cnf(7168,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3 ),
    inference(cn,[status(thm)],[7167,theory(equality)]) ).

cnf(7171,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n3),succ(esk2_0)),sum(pred(esk2_0),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,7168,theory(equality)]) ).

cnf(7172,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n3),n1),sum(n20,succ(n3))) != sum(sum(pred(n3),succ(n3)),n0) ),
    inference(spm,[status(thm)],[745,7168,theory(equality)]) ).

cnf(7173,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n2,succ(esk2_0)),sum(pred(esk2_0),n4)) != sum(sum(pred(n3),succ(n3)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[7171,675,theory(equality)]),696,theory(equality)]) ).

cnf(7174,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n2,succ(esk2_0)),sum(pred(esk2_0),n4)) != sum(n6,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7173,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]) ).

cnf(7175,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n2
    | esk1_0 = n1
    | n6 != sum(sum(pred(n3),succ(n3)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7172,675,theory(equality)]),614,theory(equality)]),696,theory(equality)]),233,theory(equality)]),591,theory(equality)]) ).

cnf(7176,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7175,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),531,theory(equality)]) ).

cnf(7177,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[7176,theory(equality)]) ).

cnf(7202,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n20)),sum(pred(n20),n4)) != sum(n6,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[7174,7177,theory(equality)]) ).

cnf(7205,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n6,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7202,679,theory(equality)]),615,theory(equality)]),658,theory(equality)]),254,theory(equality)]),613,theory(equality)]) ).

cnf(7206,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7205,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),512,theory(equality)]) ).

cnf(7207,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7206,theory(equality)]) ).

cnf(7227,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n2,succ(n19)),sum(pred(n19),n4)) != sum(n6,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[7174,7207,theory(equality)]) ).

cnf(7230,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n2 != sum(n6,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7227,680,theory(equality)]),595,theory(equality)]),659,theory(equality)]),275,theory(equality)]),635,theory(equality)]) ).

cnf(7231,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7230,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),514,theory(equality)]) ).

cnf(7232,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[7231,theory(equality)]) ).

cnf(7251,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n18)),sum(pred(n18),n4)) != sum(n6,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[7174,7232,theory(equality)]) ).

cnf(7254,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n6,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7251,681,theory(equality)]),596,theory(equality)]),660,theory(equality)]),296,theory(equality)]),657,theory(equality)]) ).

cnf(7255,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7254,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),516,theory(equality)]) ).

cnf(7256,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7255,theory(equality)]) ).

cnf(7276,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n2,succ(n17)),sum(pred(n17),n4)) != sum(n6,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[7174,7256,theory(equality)]) ).

cnf(7279,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n19 != sum(n6,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7276,682,theory(equality)]),597,theory(equality)]),661,theory(equality)]),317,theory(equality)]),217,theory(equality)]) ).

cnf(7280,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7279,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),518,theory(equality)]) ).

cnf(7281,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[7280,theory(equality)]) ).

cnf(7298,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n16)),sum(pred(n16),n4)) != sum(n6,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[7174,7281,theory(equality)]) ).

cnf(7301,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n17 != sum(n6,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7298,683,theory(equality)]),598,theory(equality)]),662,theory(equality)]),338,theory(equality)]),239,theory(equality)]) ).

cnf(7302,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7301,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),520,theory(equality)]) ).

cnf(7303,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7302,theory(equality)]) ).

cnf(7319,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n2,succ(n15)),sum(pred(n15),n4)) != sum(n6,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[7174,7303,theory(equality)]) ).

cnf(7322,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n15 != sum(n6,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7319,684,theory(equality)]),599,theory(equality)]),663,theory(equality)]),359,theory(equality)]),261,theory(equality)]) ).

cnf(7323,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7322,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),522,theory(equality)]) ).

cnf(7324,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[7323,theory(equality)]) ).

cnf(7339,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n14)),sum(pred(n14),n4)) != sum(n6,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[7174,7324,theory(equality)]) ).

cnf(7342,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n13 != sum(n6,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7339,685,theory(equality)]),600,theory(equality)]),664,theory(equality)]),380,theory(equality)]),283,theory(equality)]) ).

cnf(7343,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7342,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),524,theory(equality)]) ).

cnf(7344,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7343,theory(equality)]) ).

cnf(7358,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n2,succ(n13)),sum(pred(n13),n4)) != sum(n6,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[7174,7344,theory(equality)]) ).

cnf(7361,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n11 != sum(n6,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7358,686,theory(equality)]),601,theory(equality)]),665,theory(equality)]),401,theory(equality)]),305,theory(equality)]) ).

cnf(7362,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7361,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),526,theory(equality)]) ).

cnf(7363,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[7362,theory(equality)]) ).

cnf(7376,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n12)),sum(pred(n12),n4)) != sum(n6,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[7174,7363,theory(equality)]) ).

cnf(7379,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n9 != sum(n6,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7376,687,theory(equality)]),602,theory(equality)]),666,theory(equality)]),422,theory(equality)]),327,theory(equality)]) ).

cnf(7380,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7379,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),528,theory(equality)]) ).

cnf(7381,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7380,theory(equality)]) ).

cnf(7393,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n2,succ(n11)),sum(pred(n11),n4)) != sum(n6,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[7174,7381,theory(equality)]) ).

cnf(7396,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n7 != sum(n6,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7393,688,theory(equality)]),603,theory(equality)]),667,theory(equality)]),443,theory(equality)]),349,theory(equality)]) ).

cnf(7397,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7396,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),530,theory(equality)]) ).

cnf(7398,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[7397,theory(equality)]) ).

cnf(7409,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n10)),sum(pred(n10),n4)) != sum(n6,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[7174,7398,theory(equality)]) ).

cnf(7412,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n5 != sum(n6,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7409,689,theory(equality)]),604,theory(equality)]),668,theory(equality)]),464,theory(equality)]),371,theory(equality)]) ).

cnf(7413,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7412,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),511,theory(equality)]) ).

cnf(7414,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7413,theory(equality)]) ).

cnf(7424,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n2,succ(n9)),sum(pred(n9),n4)) != sum(n6,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[7174,7414,theory(equality)]) ).

cnf(7427,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n3 != sum(n6,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7424,690,theory(equality)]),605,theory(equality)]),669,theory(equality)]),485,theory(equality)]),393,theory(equality)]) ).

cnf(7428,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7427,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),513,theory(equality)]) ).

cnf(7429,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[7428,theory(equality)]) ).

cnf(7438,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n8)),sum(pred(n8),n4)) != sum(n6,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[7174,7429,theory(equality)]) ).

cnf(7441,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n1 != sum(n6,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7438,691,theory(equality)]),606,theory(equality)]),670,theory(equality)]),506,theory(equality)]),415,theory(equality)]) ).

cnf(7442,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7441,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),515,theory(equality)]) ).

cnf(7443,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7442,theory(equality)]) ).

cnf(7451,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n2,succ(n7)),sum(pred(n7),n4)) != sum(n6,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[7174,7443,theory(equality)]) ).

cnf(7454,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n20 != sum(n6,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7451,692,theory(equality)]),607,theory(equality)]),671,theory(equality)]),527,theory(equality)]),437,theory(equality)]) ).

cnf(7455,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7454,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),517,theory(equality)]) ).

cnf(7456,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[7455,theory(equality)]) ).

cnf(7463,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n6)),sum(pred(n6),n4)) != sum(n6,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[7174,7456,theory(equality)]) ).

cnf(7466,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n6,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7463,693,theory(equality)]),608,theory(equality)]),672,theory(equality)]),548,theory(equality)]),459,theory(equality)]) ).

cnf(7467,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7466,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),519,theory(equality)]) ).

cnf(7468,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7467,theory(equality)]) ).

cnf(7474,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n2,succ(n5)),sum(pred(n5),n4)) != sum(n6,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[7174,7468,theory(equality)]) ).

cnf(7477,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n16 != sum(n6,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7474,694,theory(equality)]),609,theory(equality)]),673,theory(equality)]),569,theory(equality)]),481,theory(equality)]) ).

cnf(7478,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7477,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),521,theory(equality)]) ).

cnf(7479,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[7478,theory(equality)]) ).

cnf(7484,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n4)),sum(pred(n4),n4)) != sum(n6,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[7174,7479,theory(equality)]) ).

cnf(7487,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n6,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7484,695,theory(equality)]),610,theory(equality)]),674,theory(equality)]),590,theory(equality)]),503,theory(equality)]) ).

cnf(7488,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7487,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),523,theory(equality)]) ).

cnf(7489,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7488,theory(equality)]) ).

cnf(7493,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n2,succ(n3)),sum(pred(n3),n4)) != sum(n6,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[7174,7489,theory(equality)]) ).

cnf(7496,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | n12 != sum(n6,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7493,696,theory(equality)]),611,theory(equality)]),675,theory(equality)]),611,theory(equality)]),525,theory(equality)]) ).

cnf(7497,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7496,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),525,theory(equality)]) ).

cnf(7498,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[7497,theory(equality)]) ).

cnf(7501,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n2)),sum(pred(n2),n4)) != sum(n6,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[7174,7498,theory(equality)]) ).

cnf(7504,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | n10 != sum(n6,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7501,697,theory(equality)]),612,theory(equality)]),676,theory(equality)]),632,theory(equality)]),547,theory(equality)]) ).

cnf(7505,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7504,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),527,theory(equality)]) ).

cnf(7506,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7505,theory(equality)]) ).

cnf(7508,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | sum(sum(n2,succ(n1)),sum(pred(n1),n4)) != sum(n6,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[7174,7506,theory(equality)]) ).

cnf(7511,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | n8 != sum(n6,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7508,698,theory(equality)]),613,theory(equality)]),677,theory(equality)]),653,theory(equality)]),569,theory(equality)]) ).

cnf(7512,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7511,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),529,theory(equality)]) ).

cnf(7513,plain,
    ( esk1_0 = n1
    | esk1_0 = n2 ),
    inference(cn,[status(thm)],[7512,theory(equality)]) ).

cnf(7515,plain,
    ( esk1_0 = n1
    | sum(sum(pred(n2),succ(esk2_0)),sum(pred(esk2_0),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[214,7513,theory(equality)]) ).

cnf(7516,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n1
    | sum(sum(pred(n2),n1),sum(n20,succ(n2))) != sum(sum(pred(n2),succ(n2)),n0) ),
    inference(spm,[status(thm)],[745,7513,theory(equality)]) ).

cnf(7517,plain,
    ( esk1_0 = n1
    | sum(sum(n1,succ(esk2_0)),sum(pred(esk2_0),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[7515,676,theory(equality)]),697,theory(equality)]) ).

cnf(7518,plain,
    ( esk1_0 = n1
    | sum(sum(n1,succ(esk2_0)),sum(pred(esk2_0),n3)) != sum(n4,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7517,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]) ).

cnf(7519,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n1
    | n4 != sum(sum(pred(n2),succ(n2)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7516,676,theory(equality)]),635,theory(equality)]),697,theory(equality)]),234,theory(equality)]),613,theory(equality)]) ).

cnf(7520,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7519,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),573,theory(equality)]) ).

cnf(7521,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[7520,theory(equality)]) ).

cnf(7546,plain,
    ( esk1_0 = n1
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n20)),sum(pred(n20),n3)) != sum(n4,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[7518,7521,theory(equality)]) ).

cnf(7549,plain,
    ( esk1_0 = n1
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n4,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7546,679,theory(equality)]),636,theory(equality)]),658,theory(equality)]),255,theory(equality)]),635,theory(equality)]) ).

cnf(7550,plain,
    ( esk1_0 = n1
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7549,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),554,theory(equality)]) ).

cnf(7551,plain,
    ( esk1_0 = n1
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7550,theory(equality)]) ).

cnf(7571,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n1,succ(n19)),sum(pred(n19),n3)) != sum(n4,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[7518,7551,theory(equality)]) ).

cnf(7574,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n0 != sum(n4,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7571,680,theory(equality)]),616,theory(equality)]),659,theory(equality)]),276,theory(equality)]),657,theory(equality)]) ).

cnf(7575,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7574,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),556,theory(equality)]) ).

cnf(7576,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[7575,theory(equality)]) ).

cnf(7595,plain,
    ( esk1_0 = n1
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n18)),sum(pred(n18),n3)) != sum(n4,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[7518,7576,theory(equality)]) ).

cnf(7598,plain,
    ( esk1_0 = n1
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n19 != sum(n4,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7595,681,theory(equality)]),617,theory(equality)]),660,theory(equality)]),297,theory(equality)]),217,theory(equality)]) ).

cnf(7599,plain,
    ( esk1_0 = n1
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7598,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),558,theory(equality)]) ).

cnf(7600,plain,
    ( esk1_0 = n1
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7599,theory(equality)]) ).

cnf(7618,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n1,succ(n17)),sum(pred(n17),n3)) != sum(n4,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[7518,7600,theory(equality)]) ).

cnf(7621,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n17 != sum(n4,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7618,682,theory(equality)]),618,theory(equality)]),661,theory(equality)]),318,theory(equality)]),239,theory(equality)]) ).

cnf(7622,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7621,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),560,theory(equality)]) ).

cnf(7623,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[7622,theory(equality)]) ).

cnf(7643,plain,
    ( esk1_0 = n1
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n16)),sum(pred(n16),n3)) != sum(n4,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[7518,7623,theory(equality)]) ).

cnf(7646,plain,
    ( esk1_0 = n1
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n15 != sum(n4,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7643,683,theory(equality)]),619,theory(equality)]),662,theory(equality)]),339,theory(equality)]),261,theory(equality)]) ).

cnf(7647,plain,
    ( esk1_0 = n1
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7646,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),562,theory(equality)]) ).

cnf(7648,plain,
    ( esk1_0 = n1
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7647,theory(equality)]) ).

cnf(7664,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n1,succ(n15)),sum(pred(n15),n3)) != sum(n4,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[7518,7648,theory(equality)]) ).

cnf(7667,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n13 != sum(n4,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7664,684,theory(equality)]),620,theory(equality)]),663,theory(equality)]),360,theory(equality)]),283,theory(equality)]) ).

cnf(7668,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7667,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),564,theory(equality)]) ).

cnf(7669,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[7668,theory(equality)]) ).

cnf(7684,plain,
    ( esk1_0 = n1
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n14)),sum(pred(n14),n3)) != sum(n4,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[7518,7669,theory(equality)]) ).

cnf(7687,plain,
    ( esk1_0 = n1
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n11 != sum(n4,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7684,685,theory(equality)]),621,theory(equality)]),664,theory(equality)]),381,theory(equality)]),305,theory(equality)]) ).

cnf(7688,plain,
    ( esk1_0 = n1
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7687,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),566,theory(equality)]) ).

cnf(7689,plain,
    ( esk1_0 = n1
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7688,theory(equality)]) ).

cnf(7703,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n1,succ(n13)),sum(pred(n13),n3)) != sum(n4,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[7518,7689,theory(equality)]) ).

cnf(7706,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n9 != sum(n4,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7703,686,theory(equality)]),622,theory(equality)]),665,theory(equality)]),402,theory(equality)]),327,theory(equality)]) ).

cnf(7707,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7706,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),568,theory(equality)]) ).

cnf(7708,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[7707,theory(equality)]) ).

cnf(7721,plain,
    ( esk1_0 = n1
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n12)),sum(pred(n12),n3)) != sum(n4,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[7518,7708,theory(equality)]) ).

cnf(7724,plain,
    ( esk1_0 = n1
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n7 != sum(n4,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7721,687,theory(equality)]),623,theory(equality)]),666,theory(equality)]),423,theory(equality)]),349,theory(equality)]) ).

cnf(7725,plain,
    ( esk1_0 = n1
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7724,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),570,theory(equality)]) ).

cnf(7726,plain,
    ( esk1_0 = n1
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7725,theory(equality)]) ).

cnf(7738,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n1,succ(n11)),sum(pred(n11),n3)) != sum(n4,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[7518,7726,theory(equality)]) ).

cnf(7741,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n5 != sum(n4,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7738,688,theory(equality)]),624,theory(equality)]),667,theory(equality)]),444,theory(equality)]),371,theory(equality)]) ).

cnf(7742,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7741,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),572,theory(equality)]) ).

cnf(7743,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[7742,theory(equality)]) ).

cnf(7754,plain,
    ( esk1_0 = n1
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n10)),sum(pred(n10),n3)) != sum(n4,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[7518,7743,theory(equality)]) ).

cnf(7757,plain,
    ( esk1_0 = n1
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n3 != sum(n4,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7754,689,theory(equality)]),625,theory(equality)]),668,theory(equality)]),465,theory(equality)]),393,theory(equality)]) ).

cnf(7758,plain,
    ( esk1_0 = n1
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7757,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),553,theory(equality)]) ).

cnf(7759,plain,
    ( esk1_0 = n1
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7758,theory(equality)]) ).

cnf(7769,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n1,succ(n9)),sum(pred(n9),n3)) != sum(n4,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[7518,7759,theory(equality)]) ).

cnf(7772,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n1 != sum(n4,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7769,690,theory(equality)]),626,theory(equality)]),669,theory(equality)]),486,theory(equality)]),415,theory(equality)]) ).

cnf(7773,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7772,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),555,theory(equality)]) ).

cnf(7774,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[7773,theory(equality)]) ).

cnf(7783,plain,
    ( esk1_0 = n1
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n8)),sum(pred(n8),n3)) != sum(n4,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[7518,7774,theory(equality)]) ).

cnf(7786,plain,
    ( esk1_0 = n1
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n4,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7783,691,theory(equality)]),627,theory(equality)]),670,theory(equality)]),507,theory(equality)]),437,theory(equality)]) ).

cnf(7787,plain,
    ( esk1_0 = n1
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7786,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),557,theory(equality)]) ).

cnf(7788,plain,
    ( esk1_0 = n1
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7787,theory(equality)]) ).

cnf(7796,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n1,succ(n7)),sum(pred(n7),n3)) != sum(n4,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[7518,7788,theory(equality)]) ).

cnf(7799,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n18 != sum(n4,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7796,692,theory(equality)]),628,theory(equality)]),671,theory(equality)]),528,theory(equality)]),459,theory(equality)]) ).

cnf(7800,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7799,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),559,theory(equality)]) ).

cnf(7801,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[7800,theory(equality)]) ).

cnf(7808,plain,
    ( esk1_0 = n1
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n6)),sum(pred(n6),n3)) != sum(n4,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[7518,7801,theory(equality)]) ).

cnf(7811,plain,
    ( esk1_0 = n1
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n4,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7808,693,theory(equality)]),629,theory(equality)]),672,theory(equality)]),549,theory(equality)]),481,theory(equality)]) ).

cnf(7812,plain,
    ( esk1_0 = n1
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7811,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),561,theory(equality)]) ).

cnf(7813,plain,
    ( esk1_0 = n1
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7812,theory(equality)]) ).

cnf(7819,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n1,succ(n5)),sum(pred(n5),n3)) != sum(n4,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[7518,7813,theory(equality)]) ).

cnf(7822,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n14 != sum(n4,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7819,694,theory(equality)]),630,theory(equality)]),673,theory(equality)]),570,theory(equality)]),503,theory(equality)]) ).

cnf(7823,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7822,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),563,theory(equality)]) ).

cnf(7824,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[7823,theory(equality)]) ).

cnf(7829,plain,
    ( esk1_0 = n1
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n4)),sum(pred(n4),n3)) != sum(n4,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[7518,7824,theory(equality)]) ).

cnf(7832,plain,
    ( esk1_0 = n1
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n4,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7829,695,theory(equality)]),631,theory(equality)]),674,theory(equality)]),591,theory(equality)]),525,theory(equality)]) ).

cnf(7833,plain,
    ( esk1_0 = n1
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7832,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),565,theory(equality)]) ).

cnf(7834,plain,
    ( esk1_0 = n1
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7833,theory(equality)]) ).

cnf(7838,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n1,succ(n3)),sum(pred(n3),n3)) != sum(n4,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[7518,7834,theory(equality)]) ).

cnf(7841,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | n10 != sum(n4,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7838,696,theory(equality)]),632,theory(equality)]),675,theory(equality)]),612,theory(equality)]),547,theory(equality)]) ).

cnf(7842,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7841,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),567,theory(equality)]) ).

cnf(7843,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[7842,theory(equality)]) ).

cnf(7846,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | sum(sum(n1,succ(n2)),sum(pred(n2),n3)) != sum(n4,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[7518,7843,theory(equality)]) ).

cnf(7849,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | n8 != sum(n4,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7846,697,theory(equality)]),633,theory(equality)]),676,theory(equality)]),633,theory(equality)]),569,theory(equality)]) ).

cnf(7850,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7849,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),569,theory(equality)]) ).

cnf(7851,plain,
    ( esk1_0 = n1
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7850,theory(equality)]) ).

cnf(7853,plain,
    ( esk1_0 = n1
    | sum(sum(n1,succ(n1)),sum(pred(n1),n3)) != sum(n4,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[7518,7851,theory(equality)]) ).

cnf(7856,plain,
    ( esk1_0 = n1
    | n6 != sum(n4,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7853,698,theory(equality)]),634,theory(equality)]),677,theory(equality)]),654,theory(equality)]),591,theory(equality)]) ).

cnf(7857,plain,
    ( esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7856,677,theory(equality)]),698,theory(equality)]),655,theory(equality)]),571,theory(equality)]) ).

cnf(7858,plain,
    esk1_0 = n1,
    inference(cn,[status(thm)],[7857,theory(equality)]) ).

cnf(7864,plain,
    sum(sum(n0,succ(esk2_0)),sum(pred(esk2_0),n2)) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[214,7858,theory(equality)]),677,theory(equality)]),7858,theory(equality)]),698,theory(equality)]) ).

cnf(7865,plain,
    sum(sum(n0,succ(esk2_0)),sum(pred(esk2_0),n2)) != sum(n2,sum(pred(esk2_0),succ(esk2_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7864,7858,theory(equality)]),677,theory(equality)]),7858,theory(equality)]),698,theory(equality)]),655,theory(equality)]) ).

cnf(7874,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | n2 != sum(sum(pred(esk1_0),succ(esk1_0)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[745,7858,theory(equality)]),677,theory(equality)]),656,theory(equality)]),7858,theory(equality)]),698,theory(equality)]),235,theory(equality)]),635,theory(equality)]) ).

cnf(7875,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7874,7858,theory(equality)]),677,theory(equality)]),7858,theory(equality)]),698,theory(equality)]),655,theory(equality)]),615,theory(equality)]) ).

cnf(7876,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20 ),
    inference(cn,[status(thm)],[7875,theory(equality)]) ).

cnf(7900,plain,
    ( esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n20)),sum(pred(n20),n2)) != sum(n2,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[7865,7876,theory(equality)]) ).

cnf(7901,plain,
    ( esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n2,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7900,679,theory(equality)]),657,theory(equality)]),658,theory(equality)]),256,theory(equality)]),657,theory(equality)]) ).

cnf(7902,plain,
    ( esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7901,658,theory(equality)]),679,theory(equality)]),258,theory(equality)]),596,theory(equality)]) ).

cnf(7903,plain,
    ( esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7902,theory(equality)]) ).

cnf(7922,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n0,succ(n19)),sum(pred(n19),n2)) != sum(n2,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[7865,7903,theory(equality)]) ).

cnf(7923,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n19 != sum(n2,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7922,680,theory(equality)]),637,theory(equality)]),659,theory(equality)]),277,theory(equality)]),217,theory(equality)]) ).

cnf(7924,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7923,659,theory(equality)]),680,theory(equality)]),259,theory(equality)]),598,theory(equality)]) ).

cnf(7925,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[7924,theory(equality)]) ).

cnf(7943,plain,
    ( esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n18)),sum(pred(n18),n2)) != sum(n2,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[7865,7925,theory(equality)]) ).

cnf(7944,plain,
    ( esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n17 != sum(n2,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7943,681,theory(equality)]),638,theory(equality)]),660,theory(equality)]),298,theory(equality)]),239,theory(equality)]) ).

cnf(7945,plain,
    ( esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7944,660,theory(equality)]),681,theory(equality)]),281,theory(equality)]),600,theory(equality)]) ).

cnf(7946,plain,
    ( esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7945,theory(equality)]) ).

cnf(7963,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n0,succ(n17)),sum(pred(n17),n2)) != sum(n2,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[7865,7946,theory(equality)]) ).

cnf(7964,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n15 != sum(n2,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7963,682,theory(equality)]),639,theory(equality)]),661,theory(equality)]),319,theory(equality)]),261,theory(equality)]) ).

cnf(7965,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7964,661,theory(equality)]),682,theory(equality)]),303,theory(equality)]),602,theory(equality)]) ).

cnf(7966,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[7965,theory(equality)]) ).

cnf(7982,plain,
    ( esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n16)),sum(pred(n16),n2)) != sum(n2,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[7865,7966,theory(equality)]) ).

cnf(7983,plain,
    ( esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n13 != sum(n2,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7982,683,theory(equality)]),640,theory(equality)]),662,theory(equality)]),340,theory(equality)]),283,theory(equality)]) ).

cnf(7984,plain,
    ( esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7983,662,theory(equality)]),683,theory(equality)]),325,theory(equality)]),604,theory(equality)]) ).

cnf(7985,plain,
    ( esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7984,theory(equality)]) ).

cnf(8000,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n0,succ(n15)),sum(pred(n15),n2)) != sum(n2,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[7865,7985,theory(equality)]) ).

cnf(8001,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n11 != sum(n2,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8000,684,theory(equality)]),641,theory(equality)]),663,theory(equality)]),361,theory(equality)]),305,theory(equality)]) ).

cnf(8002,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8001,663,theory(equality)]),684,theory(equality)]),347,theory(equality)]),606,theory(equality)]) ).

cnf(8003,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[8002,theory(equality)]) ).

cnf(8017,plain,
    ( esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n14)),sum(pred(n14),n2)) != sum(n2,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[7865,8003,theory(equality)]) ).

cnf(8018,plain,
    ( esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n9 != sum(n2,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8017,685,theory(equality)]),642,theory(equality)]),664,theory(equality)]),382,theory(equality)]),327,theory(equality)]) ).

cnf(8019,plain,
    ( esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8018,664,theory(equality)]),685,theory(equality)]),369,theory(equality)]),608,theory(equality)]) ).

cnf(8020,plain,
    ( esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8019,theory(equality)]) ).

cnf(8033,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n0,succ(n13)),sum(pred(n13),n2)) != sum(n2,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[7865,8020,theory(equality)]) ).

cnf(8034,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n7 != sum(n2,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8033,686,theory(equality)]),643,theory(equality)]),665,theory(equality)]),403,theory(equality)]),349,theory(equality)]) ).

cnf(8035,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8034,665,theory(equality)]),686,theory(equality)]),391,theory(equality)]),610,theory(equality)]) ).

cnf(8036,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[8035,theory(equality)]) ).

cnf(8048,plain,
    ( esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n12)),sum(pred(n12),n2)) != sum(n2,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[7865,8036,theory(equality)]) ).

cnf(8049,plain,
    ( esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n5 != sum(n2,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8048,687,theory(equality)]),644,theory(equality)]),666,theory(equality)]),424,theory(equality)]),371,theory(equality)]) ).

cnf(8050,plain,
    ( esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8049,666,theory(equality)]),687,theory(equality)]),413,theory(equality)]),612,theory(equality)]) ).

cnf(8051,plain,
    ( esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8050,theory(equality)]) ).

cnf(8062,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n0,succ(n11)),sum(pred(n11),n2)) != sum(n2,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[7865,8051,theory(equality)]) ).

cnf(8063,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n3 != sum(n2,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8062,688,theory(equality)]),645,theory(equality)]),667,theory(equality)]),445,theory(equality)]),393,theory(equality)]) ).

cnf(8064,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8063,667,theory(equality)]),688,theory(equality)]),435,theory(equality)]),614,theory(equality)]) ).

cnf(8065,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[8064,theory(equality)]) ).

cnf(8075,plain,
    ( esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n10)),sum(pred(n10),n2)) != sum(n2,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[7865,8065,theory(equality)]) ).

cnf(8076,plain,
    ( esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n1 != sum(n2,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8075,689,theory(equality)]),646,theory(equality)]),668,theory(equality)]),466,theory(equality)]),415,theory(equality)]) ).

cnf(8077,plain,
    ( esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8076,668,theory(equality)]),689,theory(equality)]),457,theory(equality)]),595,theory(equality)]) ).

cnf(8078,plain,
    ( esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8077,theory(equality)]) ).

cnf(8087,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n0,succ(n9)),sum(pred(n9),n2)) != sum(n2,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[7865,8078,theory(equality)]) ).

cnf(8088,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n20 != sum(n2,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8087,690,theory(equality)]),647,theory(equality)]),669,theory(equality)]),487,theory(equality)]),437,theory(equality)]) ).

cnf(8089,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8088,669,theory(equality)]),690,theory(equality)]),479,theory(equality)]),597,theory(equality)]) ).

cnf(8090,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[8089,theory(equality)]) ).

cnf(8098,plain,
    ( esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n8)),sum(pred(n8),n2)) != sum(n2,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[7865,8090,theory(equality)]) ).

cnf(8099,plain,
    ( esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n2,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8098,691,theory(equality)]),648,theory(equality)]),670,theory(equality)]),508,theory(equality)]),459,theory(equality)]) ).

cnf(8100,plain,
    ( esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8099,670,theory(equality)]),691,theory(equality)]),501,theory(equality)]),599,theory(equality)]) ).

cnf(8101,plain,
    ( esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8100,theory(equality)]) ).

cnf(8108,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n0,succ(n7)),sum(pred(n7),n2)) != sum(n2,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[7865,8101,theory(equality)]) ).

cnf(8109,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n16 != sum(n2,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8108,692,theory(equality)]),649,theory(equality)]),671,theory(equality)]),529,theory(equality)]),481,theory(equality)]) ).

cnf(8110,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8109,671,theory(equality)]),692,theory(equality)]),523,theory(equality)]),601,theory(equality)]) ).

cnf(8111,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[8110,theory(equality)]) ).

cnf(8117,plain,
    ( esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n6)),sum(pred(n6),n2)) != sum(n2,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[7865,8111,theory(equality)]) ).

cnf(8118,plain,
    ( esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n2,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8117,693,theory(equality)]),650,theory(equality)]),672,theory(equality)]),550,theory(equality)]),503,theory(equality)]) ).

cnf(8119,plain,
    ( esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8118,672,theory(equality)]),693,theory(equality)]),545,theory(equality)]),603,theory(equality)]) ).

cnf(8120,plain,
    ( esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8119,theory(equality)]) ).

cnf(8125,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n0,succ(n5)),sum(pred(n5),n2)) != sum(n2,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[7865,8120,theory(equality)]) ).

cnf(8126,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n12 != sum(n2,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8125,694,theory(equality)]),651,theory(equality)]),673,theory(equality)]),571,theory(equality)]),525,theory(equality)]) ).

cnf(8127,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8126,673,theory(equality)]),694,theory(equality)]),567,theory(equality)]),605,theory(equality)]) ).

cnf(8128,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[8127,theory(equality)]) ).

cnf(8132,plain,
    ( esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n4)),sum(pred(n4),n2)) != sum(n2,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[7865,8128,theory(equality)]) ).

cnf(8133,plain,
    ( esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n2,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8132,695,theory(equality)]),652,theory(equality)]),674,theory(equality)]),592,theory(equality)]),547,theory(equality)]) ).

cnf(8134,plain,
    ( esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8133,674,theory(equality)]),695,theory(equality)]),589,theory(equality)]),607,theory(equality)]) ).

cnf(8135,plain,
    ( esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8134,theory(equality)]) ).

cnf(8138,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n0,succ(n3)),sum(pred(n3),n2)) != sum(n2,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[7865,8135,theory(equality)]) ).

cnf(8139,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | n8 != sum(n2,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8138,696,theory(equality)]),653,theory(equality)]),675,theory(equality)]),613,theory(equality)]),569,theory(equality)]) ).

cnf(8140,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8139,675,theory(equality)]),696,theory(equality)]),611,theory(equality)]),609,theory(equality)]) ).

cnf(8141,plain,
    ( esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[8140,theory(equality)]) ).

cnf(8143,plain,
    ( esk2_0 = n1
    | sum(sum(n0,succ(n2)),sum(pred(n2),n2)) != sum(n2,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[7865,8141,theory(equality)]) ).

cnf(8144,plain,
    ( esk2_0 = n1
    | n6 != sum(n2,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8143,697,theory(equality)]),654,theory(equality)]),676,theory(equality)]),634,theory(equality)]),591,theory(equality)]) ).

cnf(8145,plain,
    ( esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8144,676,theory(equality)]),697,theory(equality)]),633,theory(equality)]),611,theory(equality)]) ).

cnf(8146,plain,
    esk2_0 = n1,
    inference(cn,[status(thm)],[8145,theory(equality)]) ).

cnf(8147,plain,
    n4 != sum(n2,sum(pred(esk2_0),succ(esk2_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7865,8146,theory(equality)]),698,theory(equality)]),655,theory(equality)]),8146,theory(equality)]),677,theory(equality)]),655,theory(equality)]),613,theory(equality)]) ).

cnf(8148,plain,
    $false,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8147,8146,theory(equality)]),677,theory(equality)]),8146,theory(equality)]),698,theory(equality)]),655,theory(equality)]),613,theory(equality)]) ).

cnf(8149,plain,
    $false,
    inference(cn,[status(thm)],[8148,theory(equality)]) ).

cnf(8150,plain,
    $false,
    8149,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM376+1.020 : TPTP v7.0.0. Released v3.2.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.23  % Computer : n130.star.cs.uiowa.edu
% 0.02/0.23  % Model    : x86_64 x86_64
% 0.02/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23  % Memory   : 32218.625MB
% 0.02/0.23  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23  % CPULimit : 300
% 0.02/0.23  % DateTime : Fri Jan  5 02:12:15 CST 2018
% 0.02/0.23  % CPUTime  : 
% 0.07/0.39  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.39  --creating new selector for []
% 0.92/1.24  -running prover on /export/starexec/sandbox2/tmp/tmp8DCFt_/sel_theBenchmark.p_1 with time limit 29
% 0.92/1.24  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmp8DCFt_/sel_theBenchmark.p_1']
% 0.92/1.24  -prover status Unsatisfiable
% 0.92/1.24  Problem theBenchmark.p solved in phase 0.
% 0.92/1.24  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.24  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.24  Solved 1 out of 1.
% 0.92/1.24  # Problem is unsatisfiable (or provable), constructing proof object
% 0.92/1.24  # SZS status Unsatisfiable
% 0.92/1.24  # SZS output start CNFRefutation.
% See solution above
% 0.92/1.26  # SZS output end CNFRefutation
%------------------------------------------------------------------------------