TSTP Solution File: NUM375+1.020 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM375+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 : n129.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 15:02:13 EST 2018

% Result   : Unsatisfiable 0.68s
% Output   : CNFRefutation 0.89s
% Verified : 
% SZS Type : None (Could not find formula named 32))
% Syntax   : Number of formulae    : 1876

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ? [X1,X2,X3] :
      ( 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(X3,sum(pred(sum(X1,succ(X2))),sum(X2,pred(sum(X1,X2)))))
      & ~ 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(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/sandbox/tmp/tmp6TQWL0/sel_theBenchmark.p_1',try_satisfy_this) ).

fof(2,plain,
    ? [X4,X5,X6] :
      ( 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(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(X5,n0)
        | equal(X5,n1)
        | equal(X5,n2)
        | equal(X5,n3)
        | equal(X5,n4)
        | equal(X5,n5)
        | equal(X5,n6)
        | equal(X5,n7)
        | equal(X5,n8)
        | equal(X5,n9)
        | equal(X5,n10)
        | equal(X5,n11)
        | equal(X5,n12)
        | equal(X5,n13)
        | equal(X5,n14)
        | equal(X5,n15)
        | equal(X5,n16)
        | equal(X5,n17)
        | equal(X5,n18)
        | equal(X5,n19)
        | equal(X5,n20) )
      & equal(X6,sum(pred(sum(X4,succ(X5))),sum(X5,pred(sum(X4,X5)))))
      & ~ equal(X6,n0)
      & ~ equal(X6,n1)
      & ~ equal(X6,n2)
      & ~ equal(X6,n3)
      & ~ equal(X6,n4)
      & ~ equal(X6,n5)
      & ~ equal(X6,n6)
      & ~ equal(X6,n7)
      & ~ equal(X6,n8)
      & ~ equal(X6,n9)
      & ~ equal(X6,n10)
      & ~ equal(X6,n11)
      & ~ equal(X6,n12)
      & ~ equal(X6,n13)
      & ~ equal(X6,n14)
      & ~ equal(X6,n15)
      & ~ equal(X6,n16)
      & ~ equal(X6,n17)
      & ~ equal(X6,n18)
      & ~ equal(X6,n19)
      & ~ equal(X6,n20)
      & ~ 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(esk3_0,sum(pred(sum(esk1_0,succ(esk2_0))),sum(esk2_0,pred(sum(esk1_0,esk2_0)))))
    & ~ equal(esk3_0,n0)
    & ~ equal(esk3_0,n1)
    & ~ equal(esk3_0,n2)
    & ~ equal(esk3_0,n3)
    & ~ equal(esk3_0,n4)
    & ~ equal(esk3_0,n5)
    & ~ equal(esk3_0,n6)
    & ~ equal(esk3_0,n7)
    & ~ equal(esk3_0,n8)
    & ~ equal(esk3_0,n9)
    & ~ equal(esk3_0,n10)
    & ~ equal(esk3_0,n11)
    & ~ equal(esk3_0,n12)
    & ~ equal(esk3_0,n13)
    & ~ equal(esk3_0,n14)
    & ~ equal(esk3_0,n15)
    & ~ equal(esk3_0,n16)
    & ~ equal(esk3_0,n17)
    & ~ equal(esk3_0,n18)
    & ~ equal(esk3_0,n19)
    & ~ equal(esk3_0,n20)
    & ~ 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,
    esk3_0 != n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(215,plain,
    esk3_0 != n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(216,plain,
    esk3_0 != n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(217,plain,
    esk3_0 != n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(218,plain,
    esk3_0 != n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(219,plain,
    esk3_0 != n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(220,plain,
    esk3_0 != n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(221,plain,
    esk3_0 != n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(222,plain,
    esk3_0 != n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(223,plain,
    esk3_0 != n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(224,plain,
    esk3_0 != n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(225,plain,
    esk3_0 != n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(226,plain,
    esk3_0 != n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(227,plain,
    esk3_0 != n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(228,plain,
    esk3_0 != n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(229,plain,
    esk3_0 != n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(230,plain,
    esk3_0 != n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(231,plain,
    esk3_0 != n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(232,plain,
    esk3_0 != n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(233,plain,
    esk3_0 != n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(234,plain,
    esk3_0 != n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(235,plain,
    esk3_0 = sum(pred(sum(esk1_0,succ(esk2_0))),sum(esk2_0,pred(sum(esk1_0,esk2_0)))),
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(236,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(237,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(238,plain,
    sum(n20,n20) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(239,plain,
    sum(n20,n19) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(240,plain,
    sum(n20,n18) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(241,plain,
    sum(n20,n17) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(242,plain,
    sum(n20,n16) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(243,plain,
    sum(n20,n15) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(244,plain,
    sum(n20,n14) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(245,plain,
    sum(n20,n13) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(246,plain,
    sum(n20,n12) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(247,plain,
    sum(n20,n11) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(248,plain,
    sum(n20,n10) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(249,plain,
    sum(n20,n9) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(250,plain,
    sum(n20,n8) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(251,plain,
    sum(n20,n7) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(252,plain,
    sum(n20,n6) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(253,plain,
    sum(n20,n5) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(254,plain,
    sum(n20,n4) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(255,plain,
    sum(n20,n3) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(256,plain,
    sum(n20,n2) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(257,plain,
    sum(n20,n1) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(258,plain,
    sum(n20,n0) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(259,plain,
    sum(n19,n20) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(260,plain,
    sum(n19,n19) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(261,plain,
    sum(n19,n18) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(262,plain,
    sum(n19,n17) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(263,plain,
    sum(n19,n16) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(264,plain,
    sum(n19,n15) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(265,plain,
    sum(n19,n14) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(266,plain,
    sum(n19,n13) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(267,plain,
    sum(n19,n12) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(268,plain,
    sum(n19,n11) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(269,plain,
    sum(n19,n10) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(270,plain,
    sum(n19,n9) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(271,plain,
    sum(n19,n8) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(272,plain,
    sum(n19,n7) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(273,plain,
    sum(n19,n6) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(274,plain,
    sum(n19,n5) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(275,plain,
    sum(n19,n4) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(276,plain,
    sum(n19,n3) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(277,plain,
    sum(n19,n2) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(278,plain,
    sum(n19,n1) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(279,plain,
    sum(n19,n0) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(280,plain,
    sum(n18,n20) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(281,plain,
    sum(n18,n19) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(282,plain,
    sum(n18,n18) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(283,plain,
    sum(n18,n17) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(284,plain,
    sum(n18,n16) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(285,plain,
    sum(n18,n15) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(286,plain,
    sum(n18,n14) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(287,plain,
    sum(n18,n13) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(288,plain,
    sum(n18,n12) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(289,plain,
    sum(n18,n11) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(290,plain,
    sum(n18,n10) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(291,plain,
    sum(n18,n9) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(292,plain,
    sum(n18,n8) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(293,plain,
    sum(n18,n7) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(294,plain,
    sum(n18,n6) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(295,plain,
    sum(n18,n5) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(296,plain,
    sum(n18,n4) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(297,plain,
    sum(n18,n3) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(298,plain,
    sum(n18,n2) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(299,plain,
    sum(n18,n1) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(300,plain,
    sum(n18,n0) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(301,plain,
    sum(n17,n20) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(302,plain,
    sum(n17,n19) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(303,plain,
    sum(n17,n18) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(304,plain,
    sum(n17,n17) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(305,plain,
    sum(n17,n16) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(306,plain,
    sum(n17,n15) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(307,plain,
    sum(n17,n14) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(308,plain,
    sum(n17,n13) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(309,plain,
    sum(n17,n12) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(310,plain,
    sum(n17,n11) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(311,plain,
    sum(n17,n10) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(312,plain,
    sum(n17,n9) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(313,plain,
    sum(n17,n8) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(314,plain,
    sum(n17,n7) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(315,plain,
    sum(n17,n6) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(316,plain,
    sum(n17,n5) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(317,plain,
    sum(n17,n4) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(318,plain,
    sum(n17,n3) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(319,plain,
    sum(n17,n2) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(320,plain,
    sum(n17,n1) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(321,plain,
    sum(n17,n0) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(322,plain,
    sum(n16,n20) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(323,plain,
    sum(n16,n19) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(324,plain,
    sum(n16,n18) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(325,plain,
    sum(n16,n17) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(326,plain,
    sum(n16,n16) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(327,plain,
    sum(n16,n15) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(328,plain,
    sum(n16,n14) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(329,plain,
    sum(n16,n13) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(330,plain,
    sum(n16,n12) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(331,plain,
    sum(n16,n11) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(332,plain,
    sum(n16,n10) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(333,plain,
    sum(n16,n9) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(334,plain,
    sum(n16,n8) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(335,plain,
    sum(n16,n7) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(336,plain,
    sum(n16,n6) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(337,plain,
    sum(n16,n5) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(338,plain,
    sum(n16,n4) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(339,plain,
    sum(n16,n3) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(340,plain,
    sum(n16,n2) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(341,plain,
    sum(n16,n1) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(342,plain,
    sum(n16,n0) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(343,plain,
    sum(n15,n20) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(344,plain,
    sum(n15,n19) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(345,plain,
    sum(n15,n18) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(346,plain,
    sum(n15,n17) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(347,plain,
    sum(n15,n16) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(348,plain,
    sum(n15,n15) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(349,plain,
    sum(n15,n14) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(350,plain,
    sum(n15,n13) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(351,plain,
    sum(n15,n12) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(352,plain,
    sum(n15,n11) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(353,plain,
    sum(n15,n10) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(354,plain,
    sum(n15,n9) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(355,plain,
    sum(n15,n8) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(356,plain,
    sum(n15,n7) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(357,plain,
    sum(n15,n6) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(358,plain,
    sum(n15,n5) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(359,plain,
    sum(n15,n4) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(360,plain,
    sum(n15,n3) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(361,plain,
    sum(n15,n2) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(362,plain,
    sum(n15,n1) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(363,plain,
    sum(n15,n0) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(364,plain,
    sum(n14,n20) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(365,plain,
    sum(n14,n19) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(366,plain,
    sum(n14,n18) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(367,plain,
    sum(n14,n17) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(368,plain,
    sum(n14,n16) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(369,plain,
    sum(n14,n15) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(370,plain,
    sum(n14,n14) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(371,plain,
    sum(n14,n13) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(372,plain,
    sum(n14,n12) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(373,plain,
    sum(n14,n11) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(374,plain,
    sum(n14,n10) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(375,plain,
    sum(n14,n9) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(376,plain,
    sum(n14,n8) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(377,plain,
    sum(n14,n7) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(378,plain,
    sum(n14,n6) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(379,plain,
    sum(n14,n5) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(380,plain,
    sum(n14,n4) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(381,plain,
    sum(n14,n3) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(382,plain,
    sum(n14,n2) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(383,plain,
    sum(n14,n1) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(384,plain,
    sum(n14,n0) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(385,plain,
    sum(n13,n20) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(386,plain,
    sum(n13,n19) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(387,plain,
    sum(n13,n18) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(388,plain,
    sum(n13,n17) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(389,plain,
    sum(n13,n16) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(390,plain,
    sum(n13,n15) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(391,plain,
    sum(n13,n14) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(392,plain,
    sum(n13,n13) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(393,plain,
    sum(n13,n12) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(394,plain,
    sum(n13,n11) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(395,plain,
    sum(n13,n10) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(396,plain,
    sum(n13,n9) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(397,plain,
    sum(n13,n8) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(398,plain,
    sum(n13,n7) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(399,plain,
    sum(n13,n6) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(400,plain,
    sum(n13,n5) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(401,plain,
    sum(n13,n4) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(402,plain,
    sum(n13,n3) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(403,plain,
    sum(n13,n2) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(404,plain,
    sum(n13,n1) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(405,plain,
    sum(n13,n0) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(406,plain,
    sum(n12,n20) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(407,plain,
    sum(n12,n19) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(408,plain,
    sum(n12,n18) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(409,plain,
    sum(n12,n17) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(410,plain,
    sum(n12,n16) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(411,plain,
    sum(n12,n15) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(412,plain,
    sum(n12,n14) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(413,plain,
    sum(n12,n13) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(414,plain,
    sum(n12,n12) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(415,plain,
    sum(n12,n11) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(416,plain,
    sum(n12,n10) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(417,plain,
    sum(n12,n9) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(418,plain,
    sum(n12,n8) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(419,plain,
    sum(n12,n7) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(420,plain,
    sum(n12,n6) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(421,plain,
    sum(n12,n5) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(422,plain,
    sum(n12,n4) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(423,plain,
    sum(n12,n3) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(424,plain,
    sum(n12,n2) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(425,plain,
    sum(n12,n1) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(426,plain,
    sum(n12,n0) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(427,plain,
    sum(n11,n20) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(428,plain,
    sum(n11,n19) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(429,plain,
    sum(n11,n18) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(430,plain,
    sum(n11,n17) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(431,plain,
    sum(n11,n16) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(432,plain,
    sum(n11,n15) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(433,plain,
    sum(n11,n14) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(434,plain,
    sum(n11,n13) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(435,plain,
    sum(n11,n12) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(436,plain,
    sum(n11,n11) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(437,plain,
    sum(n11,n10) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(438,plain,
    sum(n11,n9) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(439,plain,
    sum(n11,n8) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(440,plain,
    sum(n11,n7) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(441,plain,
    sum(n11,n6) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(442,plain,
    sum(n11,n5) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(443,plain,
    sum(n11,n4) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(444,plain,
    sum(n11,n3) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(445,plain,
    sum(n11,n2) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(446,plain,
    sum(n11,n1) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(447,plain,
    sum(n11,n0) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(448,plain,
    sum(n10,n20) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(449,plain,
    sum(n10,n19) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(450,plain,
    sum(n10,n18) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(451,plain,
    sum(n10,n17) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(452,plain,
    sum(n10,n16) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(453,plain,
    sum(n10,n15) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(454,plain,
    sum(n10,n14) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(455,plain,
    sum(n10,n13) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(456,plain,
    sum(n10,n12) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(457,plain,
    sum(n10,n11) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(458,plain,
    sum(n10,n10) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(459,plain,
    sum(n10,n9) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(460,plain,
    sum(n10,n8) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(461,plain,
    sum(n10,n7) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(462,plain,
    sum(n10,n6) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(463,plain,
    sum(n10,n5) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(464,plain,
    sum(n10,n4) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(465,plain,
    sum(n10,n3) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(466,plain,
    sum(n10,n2) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(467,plain,
    sum(n10,n1) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(468,plain,
    sum(n10,n0) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(469,plain,
    sum(n9,n20) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(470,plain,
    sum(n9,n19) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(471,plain,
    sum(n9,n18) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(472,plain,
    sum(n9,n17) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(473,plain,
    sum(n9,n16) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(474,plain,
    sum(n9,n15) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(475,plain,
    sum(n9,n14) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(476,plain,
    sum(n9,n13) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(477,plain,
    sum(n9,n12) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(478,plain,
    sum(n9,n11) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(479,plain,
    sum(n9,n10) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(480,plain,
    sum(n9,n9) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(481,plain,
    sum(n9,n8) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(482,plain,
    sum(n9,n7) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(483,plain,
    sum(n9,n6) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(484,plain,
    sum(n9,n5) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(485,plain,
    sum(n9,n4) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(486,plain,
    sum(n9,n3) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(487,plain,
    sum(n9,n2) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(488,plain,
    sum(n9,n1) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(489,plain,
    sum(n9,n0) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(490,plain,
    sum(n8,n20) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(491,plain,
    sum(n8,n19) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(492,plain,
    sum(n8,n18) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(493,plain,
    sum(n8,n17) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(494,plain,
    sum(n8,n16) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(495,plain,
    sum(n8,n15) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(496,plain,
    sum(n8,n14) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(497,plain,
    sum(n8,n13) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(498,plain,
    sum(n8,n12) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(499,plain,
    sum(n8,n11) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(500,plain,
    sum(n8,n10) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(501,plain,
    sum(n8,n9) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(502,plain,
    sum(n8,n8) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(503,plain,
    sum(n8,n7) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(504,plain,
    sum(n8,n6) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(505,plain,
    sum(n8,n5) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(506,plain,
    sum(n8,n4) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(507,plain,
    sum(n8,n3) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(508,plain,
    sum(n8,n2) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(509,plain,
    sum(n8,n1) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(510,plain,
    sum(n8,n0) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(511,plain,
    sum(n7,n20) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(512,plain,
    sum(n7,n19) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(513,plain,
    sum(n7,n18) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(514,plain,
    sum(n7,n17) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(515,plain,
    sum(n7,n16) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(516,plain,
    sum(n7,n15) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(517,plain,
    sum(n7,n14) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(518,plain,
    sum(n7,n13) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(519,plain,
    sum(n7,n12) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(520,plain,
    sum(n7,n11) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(521,plain,
    sum(n7,n10) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(522,plain,
    sum(n7,n9) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(523,plain,
    sum(n7,n8) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(524,plain,
    sum(n7,n7) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(525,plain,
    sum(n7,n6) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(526,plain,
    sum(n7,n5) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(527,plain,
    sum(n7,n4) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(528,plain,
    sum(n7,n3) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(529,plain,
    sum(n7,n2) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(530,plain,
    sum(n7,n1) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(531,plain,
    sum(n7,n0) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(532,plain,
    sum(n6,n20) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(533,plain,
    sum(n6,n19) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(534,plain,
    sum(n6,n18) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(535,plain,
    sum(n6,n17) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(536,plain,
    sum(n6,n16) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(537,plain,
    sum(n6,n15) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(538,plain,
    sum(n6,n14) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(539,plain,
    sum(n6,n13) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(540,plain,
    sum(n6,n12) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(541,plain,
    sum(n6,n11) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(542,plain,
    sum(n6,n10) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(543,plain,
    sum(n6,n9) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(544,plain,
    sum(n6,n8) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(545,plain,
    sum(n6,n7) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(546,plain,
    sum(n6,n6) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(547,plain,
    sum(n6,n5) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(548,plain,
    sum(n6,n4) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(549,plain,
    sum(n6,n3) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(550,plain,
    sum(n6,n2) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(551,plain,
    sum(n6,n1) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(552,plain,
    sum(n6,n0) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(553,plain,
    sum(n5,n20) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(554,plain,
    sum(n5,n19) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(555,plain,
    sum(n5,n18) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(556,plain,
    sum(n5,n17) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(557,plain,
    sum(n5,n16) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(558,plain,
    sum(n5,n15) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(559,plain,
    sum(n5,n14) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(560,plain,
    sum(n5,n13) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(561,plain,
    sum(n5,n12) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(562,plain,
    sum(n5,n11) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(563,plain,
    sum(n5,n10) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(564,plain,
    sum(n5,n9) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(565,plain,
    sum(n5,n8) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(566,plain,
    sum(n5,n7) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(567,plain,
    sum(n5,n6) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(568,plain,
    sum(n5,n5) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(569,plain,
    sum(n5,n4) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(570,plain,
    sum(n5,n3) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(571,plain,
    sum(n5,n2) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(572,plain,
    sum(n5,n1) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(573,plain,
    sum(n5,n0) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(574,plain,
    sum(n4,n20) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(575,plain,
    sum(n4,n19) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(576,plain,
    sum(n4,n18) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(577,plain,
    sum(n4,n17) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(578,plain,
    sum(n4,n16) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(579,plain,
    sum(n4,n15) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(580,plain,
    sum(n4,n14) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(581,plain,
    sum(n4,n13) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(582,plain,
    sum(n4,n12) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(583,plain,
    sum(n4,n11) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(584,plain,
    sum(n4,n10) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(585,plain,
    sum(n4,n9) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(586,plain,
    sum(n4,n8) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(587,plain,
    sum(n4,n7) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(588,plain,
    sum(n4,n6) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(589,plain,
    sum(n4,n5) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(590,plain,
    sum(n4,n4) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(591,plain,
    sum(n4,n3) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(592,plain,
    sum(n4,n2) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(593,plain,
    sum(n4,n1) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(594,plain,
    sum(n4,n0) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(595,plain,
    sum(n3,n20) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(596,plain,
    sum(n3,n19) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(597,plain,
    sum(n3,n18) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(598,plain,
    sum(n3,n17) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(599,plain,
    sum(n3,n16) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(600,plain,
    sum(n3,n15) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(601,plain,
    sum(n3,n14) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(602,plain,
    sum(n3,n13) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(603,plain,
    sum(n3,n12) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(604,plain,
    sum(n3,n11) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(605,plain,
    sum(n3,n10) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(606,plain,
    sum(n3,n9) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(607,plain,
    sum(n3,n8) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(608,plain,
    sum(n3,n7) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(609,plain,
    sum(n3,n6) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(610,plain,
    sum(n3,n5) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(611,plain,
    sum(n3,n4) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(612,plain,
    sum(n3,n3) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(613,plain,
    sum(n3,n2) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(614,plain,
    sum(n3,n1) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(615,plain,
    sum(n3,n0) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(616,plain,
    sum(n2,n20) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(617,plain,
    sum(n2,n19) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(618,plain,
    sum(n2,n18) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(619,plain,
    sum(n2,n17) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(620,plain,
    sum(n2,n16) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(621,plain,
    sum(n2,n15) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(622,plain,
    sum(n2,n14) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(623,plain,
    sum(n2,n13) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(624,plain,
    sum(n2,n12) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(625,plain,
    sum(n2,n11) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(626,plain,
    sum(n2,n10) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(627,plain,
    sum(n2,n9) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(628,plain,
    sum(n2,n8) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(629,plain,
    sum(n2,n7) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(630,plain,
    sum(n2,n6) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(631,plain,
    sum(n2,n5) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(632,plain,
    sum(n2,n4) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(633,plain,
    sum(n2,n3) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(634,plain,
    sum(n2,n2) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(635,plain,
    sum(n2,n1) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(636,plain,
    sum(n2,n0) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(637,plain,
    sum(n1,n20) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(638,plain,
    sum(n1,n19) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(639,plain,
    sum(n1,n18) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(640,plain,
    sum(n1,n17) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(641,plain,
    sum(n1,n16) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(642,plain,
    sum(n1,n15) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(643,plain,
    sum(n1,n14) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(644,plain,
    sum(n1,n13) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(645,plain,
    sum(n1,n12) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(646,plain,
    sum(n1,n11) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(647,plain,
    sum(n1,n10) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(648,plain,
    sum(n1,n9) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(649,plain,
    sum(n1,n8) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(650,plain,
    sum(n1,n7) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(651,plain,
    sum(n1,n6) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(652,plain,
    sum(n1,n5) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(653,plain,
    sum(n1,n4) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(654,plain,
    sum(n1,n3) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(655,plain,
    sum(n1,n2) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(656,plain,
    sum(n1,n1) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(657,plain,
    sum(n1,n0) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(658,plain,
    sum(n0,n20) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(659,plain,
    sum(n0,n19) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(660,plain,
    sum(n0,n18) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(661,plain,
    sum(n0,n17) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(662,plain,
    sum(n0,n16) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(663,plain,
    sum(n0,n15) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(664,plain,
    sum(n0,n14) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(665,plain,
    sum(n0,n13) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(666,plain,
    sum(n0,n12) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(667,plain,
    sum(n0,n11) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(668,plain,
    sum(n0,n10) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(669,plain,
    sum(n0,n9) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(670,plain,
    sum(n0,n8) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(671,plain,
    sum(n0,n7) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(672,plain,
    sum(n0,n6) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(673,plain,
    sum(n0,n5) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(674,plain,
    sum(n0,n4) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(675,plain,
    sum(n0,n3) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(676,plain,
    sum(n0,n2) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

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

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

cnf(679,plain,
    pred(n20) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(680,plain,
    pred(n19) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(681,plain,
    pred(n18) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(682,plain,
    pred(n17) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(683,plain,
    pred(n16) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(684,plain,
    pred(n15) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(685,plain,
    pred(n14) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(686,plain,
    pred(n13) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(687,plain,
    pred(n12) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(688,plain,
    pred(n11) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(689,plain,
    pred(n10) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(690,plain,
    pred(n9) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(691,plain,
    pred(n8) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(692,plain,
    pred(n7) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(693,plain,
    pred(n6) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(694,plain,
    pred(n5) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(695,plain,
    pred(n4) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(696,plain,
    pred(n3) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(697,plain,
    pred(n2) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(698,plain,
    pred(n1) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(699,plain,
    pred(n0) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(700,plain,
    succ(n20) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(701,plain,
    succ(n19) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(702,plain,
    succ(n18) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(703,plain,
    succ(n17) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(704,plain,
    succ(n16) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(705,plain,
    succ(n15) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(706,plain,
    succ(n14) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(707,plain,
    succ(n13) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(708,plain,
    succ(n12) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(709,plain,
    succ(n11) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(710,plain,
    succ(n10) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(711,plain,
    succ(n9) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(712,plain,
    succ(n8) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(713,plain,
    succ(n7) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(714,plain,
    succ(n6) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(715,plain,
    succ(n5) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(716,plain,
    succ(n4) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(717,plain,
    succ(n3) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(718,plain,
    succ(n2) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(719,plain,
    succ(n1) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(720,plain,
    succ(n0) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(741,plain,
    ( sum(pred(sum(n0,succ(esk2_0))),sum(esk2_0,pred(sum(n0,esk2_0)))) = esk3_0
    | 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 ),
    inference(spm,[status(thm)],[235,237,theory(equality)]) ).

cnf(762,plain,
    ( sum(pred(sum(esk1_0,succ(n0))),sum(n0,pred(sum(esk1_0,n0)))) = esk3_0
    | 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(spm,[status(thm)],[235,236,theory(equality)]) ).

cnf(763,plain,
    ( sum(pred(sum(esk1_0,n1)),sum(n0,pred(sum(esk1_0,n0)))) = esk3_0
    | 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(rw,[status(thm)],[762,720,theory(equality)]) ).

cnf(764,plain,
    ( sum(pred(sum(n0,succ(n0))),sum(n0,pred(sum(n0,n0)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[741,236,theory(equality)]) ).

cnf(765,plain,
    ( n20 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(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)],[764,720,theory(equality)]),677,theory(equality)]),698,theory(equality)]),678,theory(equality)]),699,theory(equality)]),658,theory(equality)]),658,theory(equality)]) ).

cnf(766,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[765,214,theory(equality)]) ).

cnf(788,plain,
    ( sum(pred(sum(n20,n1)),sum(n0,pred(sum(n20,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[763,766,theory(equality)]) ).

cnf(791,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[788,257,theory(equality)]),699,theory(equality)]),258,theory(equality)]),679,theory(equality)]),659,theory(equality)]),239,theory(equality)]) ).

cnf(792,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(sr,[status(thm)],[791,216,theory(equality)]) ).

cnf(812,plain,
    ( sum(pred(sum(n19,n1)),sum(n0,pred(sum(n19,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[763,792,theory(equality)]) ).

cnf(813,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[812,278,theory(equality)]),679,theory(equality)]),279,theory(equality)]),680,theory(equality)]),660,theory(equality)]),261,theory(equality)]) ).

cnf(814,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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[813,218,theory(equality)]) ).

cnf(833,plain,
    ( sum(pred(sum(n18,n1)),sum(n0,pred(sum(n18,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[763,814,theory(equality)]) ).

cnf(834,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[833,299,theory(equality)]),680,theory(equality)]),300,theory(equality)]),681,theory(equality)]),661,theory(equality)]),283,theory(equality)]) ).

cnf(835,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(sr,[status(thm)],[834,220,theory(equality)]) ).

cnf(853,plain,
    ( sum(pred(sum(n17,n1)),sum(n0,pred(sum(n17,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[763,835,theory(equality)]) ).

cnf(854,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[853,320,theory(equality)]),681,theory(equality)]),321,theory(equality)]),682,theory(equality)]),662,theory(equality)]),305,theory(equality)]) ).

cnf(855,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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[854,222,theory(equality)]) ).

cnf(875,plain,
    ( sum(pred(sum(n16,n1)),sum(n0,pred(sum(n16,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[763,855,theory(equality)]) ).

cnf(876,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[875,341,theory(equality)]),682,theory(equality)]),342,theory(equality)]),683,theory(equality)]),663,theory(equality)]),327,theory(equality)]) ).

cnf(877,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(sr,[status(thm)],[876,224,theory(equality)]) ).

cnf(893,plain,
    ( sum(pred(sum(n15,n1)),sum(n0,pred(sum(n15,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[763,877,theory(equality)]) ).

cnf(894,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[893,362,theory(equality)]),683,theory(equality)]),363,theory(equality)]),684,theory(equality)]),664,theory(equality)]),349,theory(equality)]) ).

cnf(895,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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[894,226,theory(equality)]) ).

cnf(910,plain,
    ( sum(pred(sum(n14,n1)),sum(n0,pred(sum(n14,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[763,895,theory(equality)]) ).

cnf(911,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[910,383,theory(equality)]),684,theory(equality)]),384,theory(equality)]),685,theory(equality)]),665,theory(equality)]),371,theory(equality)]) ).

cnf(912,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(sr,[status(thm)],[911,228,theory(equality)]) ).

cnf(926,plain,
    ( sum(pred(sum(n13,n1)),sum(n0,pred(sum(n13,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[763,912,theory(equality)]) ).

cnf(927,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[926,404,theory(equality)]),685,theory(equality)]),405,theory(equality)]),686,theory(equality)]),666,theory(equality)]),393,theory(equality)]) ).

cnf(928,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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[927,230,theory(equality)]) ).

cnf(941,plain,
    ( sum(pred(sum(n12,n1)),sum(n0,pred(sum(n12,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[763,928,theory(equality)]) ).

cnf(942,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[941,425,theory(equality)]),686,theory(equality)]),426,theory(equality)]),687,theory(equality)]),667,theory(equality)]),415,theory(equality)]) ).

cnf(943,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(sr,[status(thm)],[942,232,theory(equality)]) ).

cnf(955,plain,
    ( sum(pred(sum(n11,n1)),sum(n0,pred(sum(n11,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | 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(spm,[status(thm)],[763,943,theory(equality)]) ).

cnf(956,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[955,446,theory(equality)]),687,theory(equality)]),447,theory(equality)]),688,theory(equality)]),668,theory(equality)]),437,theory(equality)]) ).

cnf(957,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
    | esk1_0 = n2
    | 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(sr,[status(thm)],[956,234,theory(equality)]) ).

cnf(968,plain,
    ( sum(pred(sum(n10,n1)),sum(n0,pred(sum(n10,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[763,957,theory(equality)]) ).

cnf(969,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[968,467,theory(equality)]),688,theory(equality)]),468,theory(equality)]),689,theory(equality)]),669,theory(equality)]),459,theory(equality)]) ).

cnf(970,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(sr,[status(thm)],[969,215,theory(equality)]) ).

cnf(980,plain,
    ( sum(pred(sum(n9,n1)),sum(n0,pred(sum(n9,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8 ),
    inference(spm,[status(thm)],[763,970,theory(equality)]) ).

cnf(981,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[980,488,theory(equality)]),689,theory(equality)]),489,theory(equality)]),690,theory(equality)]),670,theory(equality)]),481,theory(equality)]) ).

cnf(982,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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8 ),
    inference(sr,[status(thm)],[981,217,theory(equality)]) ).

cnf(991,plain,
    ( sum(pred(sum(n8,n1)),sum(n0,pred(sum(n8,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[763,982,theory(equality)]) ).

cnf(992,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[991,509,theory(equality)]),690,theory(equality)]),510,theory(equality)]),691,theory(equality)]),671,theory(equality)]),503,theory(equality)]) ).

cnf(993,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(sr,[status(thm)],[992,219,theory(equality)]) ).

cnf(1001,plain,
    ( sum(pred(sum(n7,n1)),sum(n0,pred(sum(n7,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[763,993,theory(equality)]) ).

cnf(1002,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1001,530,theory(equality)]),691,theory(equality)]),531,theory(equality)]),692,theory(equality)]),672,theory(equality)]),525,theory(equality)]) ).

cnf(1003,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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[1002,221,theory(equality)]) ).

cnf(1010,plain,
    ( sum(pred(sum(n6,n1)),sum(n0,pred(sum(n6,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[763,1003,theory(equality)]) ).

cnf(1011,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1010,551,theory(equality)]),692,theory(equality)]),552,theory(equality)]),693,theory(equality)]),673,theory(equality)]),547,theory(equality)]) ).

cnf(1012,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(sr,[status(thm)],[1011,223,theory(equality)]) ).

cnf(1018,plain,
    ( sum(pred(sum(n5,n1)),sum(n0,pred(sum(n5,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[763,1012,theory(equality)]) ).

cnf(1019,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1018,572,theory(equality)]),693,theory(equality)]),573,theory(equality)]),694,theory(equality)]),674,theory(equality)]),569,theory(equality)]) ).

cnf(1020,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
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[1019,225,theory(equality)]) ).

cnf(1025,plain,
    ( sum(pred(sum(n4,n1)),sum(n0,pred(sum(n4,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[763,1020,theory(equality)]) ).

cnf(1026,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1025,593,theory(equality)]),694,theory(equality)]),594,theory(equality)]),695,theory(equality)]),675,theory(equality)]),591,theory(equality)]) ).

cnf(1027,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(sr,[status(thm)],[1026,227,theory(equality)]) ).

cnf(1031,plain,
    ( sum(pred(sum(n3,n1)),sum(n0,pred(sum(n3,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[763,1027,theory(equality)]) ).

cnf(1032,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1031,614,theory(equality)]),695,theory(equality)]),615,theory(equality)]),696,theory(equality)]),676,theory(equality)]),613,theory(equality)]) ).

cnf(1033,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
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[1032,229,theory(equality)]) ).

cnf(1036,plain,
    ( sum(pred(sum(n2,n1)),sum(n0,pred(sum(n2,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[763,1033,theory(equality)]) ).

cnf(1037,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1036,635,theory(equality)]),696,theory(equality)]),636,theory(equality)]),697,theory(equality)]),677,theory(equality)]),635,theory(equality)]) ).

cnf(1038,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(sr,[status(thm)],[1037,231,theory(equality)]) ).

cnf(1040,plain,
    ( sum(pred(sum(n1,n1)),sum(n0,pred(sum(n1,n0)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[763,1038,theory(equality)]) ).

cnf(1041,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1040,656,theory(equality)]),697,theory(equality)]),657,theory(equality)]),698,theory(equality)]),678,theory(equality)]),657,theory(equality)]) ).

cnf(1042,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(sr,[status(thm)],[1041,233,theory(equality)]) ).

cnf(1085,plain,
    ( sum(pred(sum(esk1_0,succ(n20))),sum(n20,pred(sum(esk1_0,n20)))) = esk3_0
    | 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(spm,[status(thm)],[235,1042,theory(equality)]) ).

cnf(1086,plain,
    ( sum(pred(sum(n0,succ(n20))),sum(n20,pred(sum(n0,n20)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = 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(spm,[status(thm)],[741,1042,theory(equality)]) ).

cnf(1087,plain,
    ( sum(pred(sum(esk1_0,n0)),sum(n20,pred(sum(esk1_0,n20)))) = esk3_0
    | 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(rw,[status(thm)],[1085,700,theory(equality)]) ).

cnf(1088,plain,
    ( n17 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = 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(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)],[1086,700,theory(equality)]),678,theory(equality)]),699,theory(equality)]),658,theory(equality)]),679,theory(equality)]),239,theory(equality)]),240,theory(equality)]) ).

cnf(1089,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = 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(sr,[status(thm)],[1088,217,theory(equality)]) ).

cnf(1113,plain,
    ( sum(pred(sum(n20,n0)),sum(n20,pred(sum(n20,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1087,1089,theory(equality)]) ).

cnf(1114,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1113,258,theory(equality)]),679,theory(equality)]),238,theory(equality)]),680,theory(equality)]),240,theory(equality)]),262,theory(equality)]) ).

cnf(1115,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
    | 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(sr,[status(thm)],[1114,219,theory(equality)]) ).

cnf(1135,plain,
    ( sum(pred(sum(n19,n0)),sum(n20,pred(sum(n19,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[1087,1115,theory(equality)]) ).

cnf(1136,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1135,279,theory(equality)]),680,theory(equality)]),259,theory(equality)]),681,theory(equality)]),241,theory(equality)]),284,theory(equality)]) ).

cnf(1137,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[1136,221,theory(equality)]) ).

cnf(1156,plain,
    ( sum(pred(sum(n18,n0)),sum(n20,pred(sum(n18,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1087,1137,theory(equality)]) ).

cnf(1157,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1156,300,theory(equality)]),681,theory(equality)]),280,theory(equality)]),682,theory(equality)]),242,theory(equality)]),306,theory(equality)]) ).

cnf(1158,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
    | 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(sr,[status(thm)],[1157,223,theory(equality)]) ).

cnf(1176,plain,
    ( sum(pred(sum(n17,n0)),sum(n20,pred(sum(n17,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[1087,1158,theory(equality)]) ).

cnf(1177,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1176,321,theory(equality)]),682,theory(equality)]),301,theory(equality)]),683,theory(equality)]),243,theory(equality)]),328,theory(equality)]) ).

cnf(1178,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[1177,225,theory(equality)]) ).

cnf(1195,plain,
    ( sum(pred(sum(n16,n0)),sum(n20,pred(sum(n16,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1087,1178,theory(equality)]) ).

cnf(1196,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1195,342,theory(equality)]),683,theory(equality)]),322,theory(equality)]),684,theory(equality)]),244,theory(equality)]),350,theory(equality)]) ).

cnf(1197,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
    | 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(sr,[status(thm)],[1196,227,theory(equality)]) ).

cnf(1217,plain,
    ( sum(pred(sum(n15,n0)),sum(n20,pred(sum(n15,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[1087,1197,theory(equality)]) ).

cnf(1218,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1217,363,theory(equality)]),684,theory(equality)]),343,theory(equality)]),685,theory(equality)]),245,theory(equality)]),372,theory(equality)]) ).

cnf(1219,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[1218,229,theory(equality)]) ).

cnf(1234,plain,
    ( sum(pred(sum(n14,n0)),sum(n20,pred(sum(n14,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1087,1219,theory(equality)]) ).

cnf(1235,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1234,384,theory(equality)]),685,theory(equality)]),364,theory(equality)]),686,theory(equality)]),246,theory(equality)]),394,theory(equality)]) ).

cnf(1236,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
    | 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(sr,[status(thm)],[1235,231,theory(equality)]) ).

cnf(1250,plain,
    ( sum(pred(sum(n13,n0)),sum(n20,pred(sum(n13,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[1087,1236,theory(equality)]) ).

cnf(1251,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1250,405,theory(equality)]),686,theory(equality)]),385,theory(equality)]),687,theory(equality)]),247,theory(equality)]),416,theory(equality)]) ).

cnf(1252,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[1251,233,theory(equality)]) ).

cnf(1265,plain,
    ( sum(pred(sum(n12,n0)),sum(n20,pred(sum(n12,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1087,1252,theory(equality)]) ).

cnf(1266,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1265,426,theory(equality)]),687,theory(equality)]),406,theory(equality)]),688,theory(equality)]),248,theory(equality)]),438,theory(equality)]) ).

cnf(1267,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
    | 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(sr,[status(thm)],[1266,214,theory(equality)]) ).

cnf(1279,plain,
    ( sum(pred(sum(n11,n0)),sum(n20,pred(sum(n11,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[1087,1267,theory(equality)]) ).

cnf(1280,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1279,447,theory(equality)]),688,theory(equality)]),427,theory(equality)]),689,theory(equality)]),249,theory(equality)]),460,theory(equality)]) ).

cnf(1281,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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[1280,216,theory(equality)]) ).

cnf(1292,plain,
    ( sum(pred(sum(n10,n0)),sum(n20,pred(sum(n10,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1087,1281,theory(equality)]) ).

cnf(1293,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1292,468,theory(equality)]),689,theory(equality)]),448,theory(equality)]),690,theory(equality)]),250,theory(equality)]),482,theory(equality)]) ).

cnf(1294,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
    | 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(sr,[status(thm)],[1293,218,theory(equality)]) ).

cnf(1304,plain,
    ( sum(pred(sum(n9,n0)),sum(n20,pred(sum(n9,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1087,1294,theory(equality)]) ).

cnf(1305,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1304,489,theory(equality)]),690,theory(equality)]),469,theory(equality)]),691,theory(equality)]),251,theory(equality)]),504,theory(equality)]) ).

cnf(1306,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
    | 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(sr,[status(thm)],[1305,220,theory(equality)]) ).

cnf(1315,plain,
    ( sum(pred(sum(n8,n0)),sum(n20,pred(sum(n8,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1087,1306,theory(equality)]) ).

cnf(1316,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1315,510,theory(equality)]),691,theory(equality)]),490,theory(equality)]),692,theory(equality)]),252,theory(equality)]),526,theory(equality)]) ).

cnf(1317,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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[1316,222,theory(equality)]) ).

cnf(1325,plain,
    ( sum(pred(sum(n7,n0)),sum(n20,pred(sum(n7,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[1087,1317,theory(equality)]) ).

cnf(1326,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1325,531,theory(equality)]),692,theory(equality)]),511,theory(equality)]),693,theory(equality)]),253,theory(equality)]),548,theory(equality)]) ).

cnf(1327,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[1326,224,theory(equality)]) ).

cnf(1334,plain,
    ( sum(pred(sum(n6,n0)),sum(n20,pred(sum(n6,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1087,1327,theory(equality)]) ).

cnf(1335,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1334,552,theory(equality)]),693,theory(equality)]),532,theory(equality)]),694,theory(equality)]),254,theory(equality)]),570,theory(equality)]) ).

cnf(1336,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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[1335,226,theory(equality)]) ).

cnf(1342,plain,
    ( sum(pred(sum(n5,n0)),sum(n20,pred(sum(n5,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[1087,1336,theory(equality)]) ).

cnf(1343,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1342,573,theory(equality)]),694,theory(equality)]),553,theory(equality)]),695,theory(equality)]),255,theory(equality)]),592,theory(equality)]) ).

cnf(1344,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[1343,228,theory(equality)]) ).

cnf(1349,plain,
    ( sum(pred(sum(n4,n0)),sum(n20,pred(sum(n4,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1087,1344,theory(equality)]) ).

cnf(1350,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1349,594,theory(equality)]),695,theory(equality)]),574,theory(equality)]),696,theory(equality)]),256,theory(equality)]),614,theory(equality)]) ).

cnf(1351,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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[1350,230,theory(equality)]) ).

cnf(1355,plain,
    ( sum(pred(sum(n3,n0)),sum(n20,pred(sum(n3,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[1087,1351,theory(equality)]) ).

cnf(1356,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1355,615,theory(equality)]),696,theory(equality)]),595,theory(equality)]),697,theory(equality)]),257,theory(equality)]),636,theory(equality)]) ).

cnf(1357,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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[1356,232,theory(equality)]) ).

cnf(1360,plain,
    ( sum(pred(sum(n2,n0)),sum(n20,pred(sum(n2,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1087,1357,theory(equality)]) ).

cnf(1361,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1360,636,theory(equality)]),697,theory(equality)]),616,theory(equality)]),698,theory(equality)]),258,theory(equality)]),637,theory(equality)]) ).

cnf(1362,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
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[1361,234,theory(equality)]) ).

cnf(1364,plain,
    ( sum(pred(sum(n1,n0)),sum(n20,pred(sum(n1,n20)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[1087,1362,theory(equality)]) ).

cnf(1365,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1364,657,theory(equality)]),698,theory(equality)]),637,theory(equality)]),699,theory(equality)]),238,theory(equality)]),659,theory(equality)]) ).

cnf(1366,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 ),
    inference(sr,[status(thm)],[1365,215,theory(equality)]) ).

cnf(1385,plain,
    ( sum(pred(sum(esk1_0,succ(n19))),sum(n19,pred(sum(esk1_0,n19)))) = esk3_0
    | 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(spm,[status(thm)],[235,1366,theory(equality)]) ).

cnf(1386,plain,
    ( sum(pred(sum(n0,succ(n19))),sum(n19,pred(sum(n0,n19)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[741,1366,theory(equality)]) ).

cnf(1387,plain,
    ( sum(pred(sum(esk1_0,n20)),sum(n19,pred(sum(esk1_0,n19)))) = esk3_0
    | 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(rw,[status(thm)],[1385,701,theory(equality)]) ).

cnf(1388,plain,
    ( n14 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(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)],[1386,701,theory(equality)]),658,theory(equality)]),679,theory(equality)]),659,theory(equality)]),680,theory(equality)]),261,theory(equality)]),263,theory(equality)]) ).

cnf(1389,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[1388,220,theory(equality)]) ).

cnf(1413,plain,
    ( sum(pred(sum(n20,n20)),sum(n19,pred(sum(n20,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1387,1389,theory(equality)]) ).

cnf(1414,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1413,238,theory(equality)]),680,theory(equality)]),239,theory(equality)]),681,theory(equality)]),262,theory(equality)]),285,theory(equality)]) ).

cnf(1415,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
    | 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(sr,[status(thm)],[1414,222,theory(equality)]) ).

cnf(1435,plain,
    ( sum(pred(sum(n19,n20)),sum(n19,pred(sum(n19,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[1387,1415,theory(equality)]) ).

cnf(1436,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1435,259,theory(equality)]),681,theory(equality)]),260,theory(equality)]),682,theory(equality)]),263,theory(equality)]),307,theory(equality)]) ).

cnf(1437,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[1436,224,theory(equality)]) ).

cnf(1456,plain,
    ( sum(pred(sum(n18,n20)),sum(n19,pred(sum(n18,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1387,1437,theory(equality)]) ).

cnf(1457,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1456,280,theory(equality)]),682,theory(equality)]),281,theory(equality)]),683,theory(equality)]),264,theory(equality)]),329,theory(equality)]) ).

cnf(1458,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
    | 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(sr,[status(thm)],[1457,226,theory(equality)]) ).

cnf(1476,plain,
    ( sum(pred(sum(n17,n20)),sum(n19,pred(sum(n17,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[1387,1458,theory(equality)]) ).

cnf(1477,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1476,301,theory(equality)]),683,theory(equality)]),302,theory(equality)]),684,theory(equality)]),265,theory(equality)]),351,theory(equality)]) ).

cnf(1478,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[1477,228,theory(equality)]) ).

cnf(1495,plain,
    ( sum(pred(sum(n16,n20)),sum(n19,pred(sum(n16,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1387,1478,theory(equality)]) ).

cnf(1496,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1495,322,theory(equality)]),684,theory(equality)]),323,theory(equality)]),685,theory(equality)]),266,theory(equality)]),373,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
    | 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(sr,[status(thm)],[1496,230,theory(equality)]) ).

cnf(1513,plain,
    ( sum(pred(sum(n15,n20)),sum(n19,pred(sum(n15,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[1387,1497,theory(equality)]) ).

cnf(1514,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1513,343,theory(equality)]),685,theory(equality)]),344,theory(equality)]),686,theory(equality)]),267,theory(equality)]),395,theory(equality)]) ).

cnf(1515,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[1514,232,theory(equality)]) ).

cnf(1530,plain,
    ( sum(pred(sum(n14,n20)),sum(n19,pred(sum(n14,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1387,1515,theory(equality)]) ).

cnf(1531,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1530,364,theory(equality)]),686,theory(equality)]),365,theory(equality)]),687,theory(equality)]),268,theory(equality)]),417,theory(equality)]) ).

cnf(1532,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
    | 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(sr,[status(thm)],[1531,234,theory(equality)]) ).

cnf(1546,plain,
    ( sum(pred(sum(n13,n20)),sum(n19,pred(sum(n13,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[1387,1532,theory(equality)]) ).

cnf(1547,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1546,385,theory(equality)]),687,theory(equality)]),386,theory(equality)]),688,theory(equality)]),269,theory(equality)]),439,theory(equality)]) ).

cnf(1548,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[1547,215,theory(equality)]) ).

cnf(1568,plain,
    ( sum(pred(sum(n12,n20)),sum(n19,pred(sum(n12,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1387,1548,theory(equality)]) ).

cnf(1569,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1568,406,theory(equality)]),688,theory(equality)]),407,theory(equality)]),689,theory(equality)]),270,theory(equality)]),461,theory(equality)]) ).

cnf(1570,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
    | 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(sr,[status(thm)],[1569,217,theory(equality)]) ).

cnf(1582,plain,
    ( sum(pred(sum(n11,n20)),sum(n19,pred(sum(n11,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[1387,1570,theory(equality)]) ).

cnf(1583,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1582,427,theory(equality)]),689,theory(equality)]),428,theory(equality)]),690,theory(equality)]),271,theory(equality)]),483,theory(equality)]) ).

cnf(1584,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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[1583,219,theory(equality)]) ).

cnf(1595,plain,
    ( sum(pred(sum(n10,n20)),sum(n19,pred(sum(n10,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1387,1584,theory(equality)]) ).

cnf(1596,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1595,448,theory(equality)]),690,theory(equality)]),449,theory(equality)]),691,theory(equality)]),272,theory(equality)]),505,theory(equality)]) ).

cnf(1597,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
    | 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(sr,[status(thm)],[1596,221,theory(equality)]) ).

cnf(1607,plain,
    ( sum(pred(sum(n9,n20)),sum(n19,pred(sum(n9,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1387,1597,theory(equality)]) ).

cnf(1608,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1607,469,theory(equality)]),691,theory(equality)]),470,theory(equality)]),692,theory(equality)]),273,theory(equality)]),527,theory(equality)]) ).

cnf(1609,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
    | 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(sr,[status(thm)],[1608,223,theory(equality)]) ).

cnf(1618,plain,
    ( sum(pred(sum(n8,n20)),sum(n19,pred(sum(n8,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1387,1609,theory(equality)]) ).

cnf(1619,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1618,490,theory(equality)]),692,theory(equality)]),491,theory(equality)]),693,theory(equality)]),274,theory(equality)]),549,theory(equality)]) ).

cnf(1620,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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[1619,225,theory(equality)]) ).

cnf(1628,plain,
    ( sum(pred(sum(n7,n20)),sum(n19,pred(sum(n7,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[1387,1620,theory(equality)]) ).

cnf(1629,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1628,511,theory(equality)]),693,theory(equality)]),512,theory(equality)]),694,theory(equality)]),275,theory(equality)]),571,theory(equality)]) ).

cnf(1630,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[1629,227,theory(equality)]) ).

cnf(1637,plain,
    ( sum(pred(sum(n6,n20)),sum(n19,pred(sum(n6,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1387,1630,theory(equality)]) ).

cnf(1638,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1637,532,theory(equality)]),694,theory(equality)]),533,theory(equality)]),695,theory(equality)]),276,theory(equality)]),593,theory(equality)]) ).

cnf(1639,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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[1638,229,theory(equality)]) ).

cnf(1645,plain,
    ( sum(pred(sum(n5,n20)),sum(n19,pred(sum(n5,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[1387,1639,theory(equality)]) ).

cnf(1646,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1645,553,theory(equality)]),695,theory(equality)]),554,theory(equality)]),696,theory(equality)]),277,theory(equality)]),615,theory(equality)]) ).

cnf(1647,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[1646,231,theory(equality)]) ).

cnf(1652,plain,
    ( sum(pred(sum(n4,n20)),sum(n19,pred(sum(n4,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1387,1647,theory(equality)]) ).

cnf(1653,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1652,574,theory(equality)]),696,theory(equality)]),575,theory(equality)]),697,theory(equality)]),278,theory(equality)]),616,theory(equality)]) ).

cnf(1654,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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[1653,233,theory(equality)]) ).

cnf(1658,plain,
    ( sum(pred(sum(n3,n20)),sum(n19,pred(sum(n3,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[1387,1654,theory(equality)]) ).

cnf(1659,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1658,595,theory(equality)]),697,theory(equality)]),596,theory(equality)]),698,theory(equality)]),279,theory(equality)]),638,theory(equality)]) ).

cnf(1660,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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[1659,214,theory(equality)]) ).

cnf(1663,plain,
    ( sum(pred(sum(n2,n20)),sum(n19,pred(sum(n2,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1387,1660,theory(equality)]) ).

cnf(1664,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1663,616,theory(equality)]),698,theory(equality)]),617,theory(equality)]),699,theory(equality)]),259,theory(equality)]),660,theory(equality)]) ).

cnf(1665,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
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[1664,216,theory(equality)]) ).

cnf(1667,plain,
    ( sum(pred(sum(n1,n20)),sum(n19,pred(sum(n1,n19)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[1387,1665,theory(equality)]) ).

cnf(1668,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1667,637,theory(equality)]),699,theory(equality)]),638,theory(equality)]),679,theory(equality)]),260,theory(equality)]),241,theory(equality)]) ).

cnf(1669,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(sr,[status(thm)],[1668,218,theory(equality)]) ).

cnf(1687,plain,
    ( sum(pred(sum(esk1_0,succ(n18))),sum(n18,pred(sum(esk1_0,n18)))) = esk3_0
    | 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(spm,[status(thm)],[235,1669,theory(equality)]) ).

cnf(1688,plain,
    ( sum(pred(sum(n0,succ(n18))),sum(n18,pred(sum(n0,n18)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = 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(spm,[status(thm)],[741,1669,theory(equality)]) ).

cnf(1689,plain,
    ( sum(pred(sum(esk1_0,n19)),sum(n18,pred(sum(esk1_0,n18)))) = esk3_0
    | 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(rw,[status(thm)],[1687,702,theory(equality)]) ).

cnf(1690,plain,
    ( n11 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = 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(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)],[1688,702,theory(equality)]),659,theory(equality)]),680,theory(equality)]),660,theory(equality)]),681,theory(equality)]),283,theory(equality)]),286,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
    | esk1_0 = n19
    | esk1_0 = n20
    | 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(sr,[status(thm)],[1690,223,theory(equality)]) ).

cnf(1715,plain,
    ( sum(pred(sum(n20,n19)),sum(n18,pred(sum(n20,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1689,1691,theory(equality)]) ).

cnf(1716,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1715,239,theory(equality)]),681,theory(equality)]),240,theory(equality)]),682,theory(equality)]),284,theory(equality)]),308,theory(equality)]) ).

cnf(1717,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
    | 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(sr,[status(thm)],[1716,225,theory(equality)]) ).

cnf(1737,plain,
    ( sum(pred(sum(n19,n19)),sum(n18,pred(sum(n19,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[1689,1717,theory(equality)]) ).

cnf(1738,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1737,260,theory(equality)]),682,theory(equality)]),261,theory(equality)]),683,theory(equality)]),285,theory(equality)]),330,theory(equality)]) ).

cnf(1739,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[1738,227,theory(equality)]) ).

cnf(1758,plain,
    ( sum(pred(sum(n18,n19)),sum(n18,pred(sum(n18,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1689,1739,theory(equality)]) ).

cnf(1759,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1758,281,theory(equality)]),683,theory(equality)]),282,theory(equality)]),684,theory(equality)]),286,theory(equality)]),352,theory(equality)]) ).

cnf(1760,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
    | 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(sr,[status(thm)],[1759,229,theory(equality)]) ).

cnf(1780,plain,
    ( sum(pred(sum(n17,n19)),sum(n18,pred(sum(n17,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[1689,1760,theory(equality)]) ).

cnf(1781,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1780,302,theory(equality)]),684,theory(equality)]),303,theory(equality)]),685,theory(equality)]),287,theory(equality)]),374,theory(equality)]) ).

cnf(1782,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[1781,231,theory(equality)]) ).

cnf(1799,plain,
    ( sum(pred(sum(n16,n19)),sum(n18,pred(sum(n16,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1689,1782,theory(equality)]) ).

cnf(1800,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1799,323,theory(equality)]),685,theory(equality)]),324,theory(equality)]),686,theory(equality)]),288,theory(equality)]),396,theory(equality)]) ).

cnf(1801,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
    | 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(sr,[status(thm)],[1800,233,theory(equality)]) ).

cnf(1817,plain,
    ( sum(pred(sum(n15,n19)),sum(n18,pred(sum(n15,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[1689,1801,theory(equality)]) ).

cnf(1818,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1817,344,theory(equality)]),686,theory(equality)]),345,theory(equality)]),687,theory(equality)]),289,theory(equality)]),418,theory(equality)]) ).

cnf(1819,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[1818,214,theory(equality)]) ).

cnf(1834,plain,
    ( sum(pred(sum(n14,n19)),sum(n18,pred(sum(n14,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1689,1819,theory(equality)]) ).

cnf(1835,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1834,365,theory(equality)]),687,theory(equality)]),366,theory(equality)]),688,theory(equality)]),290,theory(equality)]),440,theory(equality)]) ).

cnf(1836,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
    | 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(sr,[status(thm)],[1835,216,theory(equality)]) ).

cnf(1850,plain,
    ( sum(pred(sum(n13,n19)),sum(n18,pred(sum(n13,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[1689,1836,theory(equality)]) ).

cnf(1851,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1850,386,theory(equality)]),688,theory(equality)]),387,theory(equality)]),689,theory(equality)]),291,theory(equality)]),462,theory(equality)]) ).

cnf(1852,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[1851,218,theory(equality)]) ).

cnf(1865,plain,
    ( sum(pred(sum(n12,n19)),sum(n18,pred(sum(n12,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1689,1852,theory(equality)]) ).

cnf(1866,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1865,407,theory(equality)]),689,theory(equality)]),408,theory(equality)]),690,theory(equality)]),292,theory(equality)]),484,theory(equality)]) ).

cnf(1867,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
    | 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(sr,[status(thm)],[1866,220,theory(equality)]) ).

cnf(1879,plain,
    ( sum(pred(sum(n11,n19)),sum(n18,pred(sum(n11,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[1689,1867,theory(equality)]) ).

cnf(1880,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1879,428,theory(equality)]),690,theory(equality)]),429,theory(equality)]),691,theory(equality)]),293,theory(equality)]),506,theory(equality)]) ).

cnf(1881,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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[1880,222,theory(equality)]) ).

cnf(1892,plain,
    ( sum(pred(sum(n10,n19)),sum(n18,pred(sum(n10,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1689,1881,theory(equality)]) ).

cnf(1893,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1892,449,theory(equality)]),691,theory(equality)]),450,theory(equality)]),692,theory(equality)]),294,theory(equality)]),528,theory(equality)]) ).

cnf(1894,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
    | 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(sr,[status(thm)],[1893,224,theory(equality)]) ).

cnf(1904,plain,
    ( sum(pred(sum(n9,n19)),sum(n18,pred(sum(n9,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1689,1894,theory(equality)]) ).

cnf(1905,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1904,470,theory(equality)]),692,theory(equality)]),471,theory(equality)]),693,theory(equality)]),295,theory(equality)]),550,theory(equality)]) ).

cnf(1906,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
    | 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(sr,[status(thm)],[1905,226,theory(equality)]) ).

cnf(1915,plain,
    ( sum(pred(sum(n8,n19)),sum(n18,pred(sum(n8,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1689,1906,theory(equality)]) ).

cnf(1916,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1915,491,theory(equality)]),693,theory(equality)]),492,theory(equality)]),694,theory(equality)]),296,theory(equality)]),572,theory(equality)]) ).

cnf(1917,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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[1916,228,theory(equality)]) ).

cnf(1925,plain,
    ( sum(pred(sum(n7,n19)),sum(n18,pred(sum(n7,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[1689,1917,theory(equality)]) ).

cnf(1926,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1925,512,theory(equality)]),694,theory(equality)]),513,theory(equality)]),695,theory(equality)]),297,theory(equality)]),594,theory(equality)]) ).

cnf(1927,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[1926,230,theory(equality)]) ).

cnf(1934,plain,
    ( sum(pred(sum(n6,n19)),sum(n18,pred(sum(n6,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1689,1927,theory(equality)]) ).

cnf(1935,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1934,533,theory(equality)]),695,theory(equality)]),534,theory(equality)]),696,theory(equality)]),298,theory(equality)]),595,theory(equality)]) ).

cnf(1936,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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[1935,232,theory(equality)]) ).

cnf(1942,plain,
    ( sum(pred(sum(n5,n19)),sum(n18,pred(sum(n5,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[1689,1936,theory(equality)]) ).

cnf(1943,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1942,554,theory(equality)]),696,theory(equality)]),555,theory(equality)]),697,theory(equality)]),299,theory(equality)]),617,theory(equality)]) ).

cnf(1944,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[1943,234,theory(equality)]) ).

cnf(1949,plain,
    ( sum(pred(sum(n4,n19)),sum(n18,pred(sum(n4,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1689,1944,theory(equality)]) ).

cnf(1950,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1949,575,theory(equality)]),697,theory(equality)]),576,theory(equality)]),698,theory(equality)]),300,theory(equality)]),639,theory(equality)]) ).

cnf(1951,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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[1950,215,theory(equality)]) ).

cnf(1955,plain,
    ( sum(pred(sum(n3,n19)),sum(n18,pred(sum(n3,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[1689,1951,theory(equality)]) ).

cnf(1956,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1955,596,theory(equality)]),698,theory(equality)]),597,theory(equality)]),699,theory(equality)]),280,theory(equality)]),661,theory(equality)]) ).

cnf(1957,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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[1956,217,theory(equality)]) ).

cnf(1960,plain,
    ( sum(pred(sum(n2,n19)),sum(n18,pred(sum(n2,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1689,1957,theory(equality)]) ).

cnf(1961,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1960,617,theory(equality)]),699,theory(equality)]),618,theory(equality)]),679,theory(equality)]),281,theory(equality)]),242,theory(equality)]) ).

cnf(1962,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
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[1961,219,theory(equality)]) ).

cnf(1964,plain,
    ( sum(pred(sum(n1,n19)),sum(n18,pred(sum(n1,n18)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[1689,1962,theory(equality)]) ).

cnf(1965,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1964,638,theory(equality)]),679,theory(equality)]),639,theory(equality)]),680,theory(equality)]),282,theory(equality)]),264,theory(equality)]) ).

cnf(1966,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 ),
    inference(sr,[status(thm)],[1965,221,theory(equality)]) ).

cnf(1983,plain,
    ( sum(pred(sum(esk1_0,succ(n17))),sum(n17,pred(sum(esk1_0,n17)))) = esk3_0
    | 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(spm,[status(thm)],[235,1966,theory(equality)]) ).

cnf(1984,plain,
    ( sum(pred(sum(n0,succ(n17))),sum(n17,pred(sum(n0,n17)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[741,1966,theory(equality)]) ).

cnf(1985,plain,
    ( sum(pred(sum(esk1_0,n18)),sum(n17,pred(sum(esk1_0,n17)))) = esk3_0
    | 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(rw,[status(thm)],[1983,703,theory(equality)]) ).

cnf(1986,plain,
    ( n8 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(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)],[1984,703,theory(equality)]),660,theory(equality)]),681,theory(equality)]),661,theory(equality)]),682,theory(equality)]),305,theory(equality)]),309,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
    | 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(sr,[status(thm)],[1986,226,theory(equality)]) ).

cnf(2011,plain,
    ( sum(pred(sum(n20,n18)),sum(n17,pred(sum(n20,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1985,1987,theory(equality)]) ).

cnf(2012,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2011,240,theory(equality)]),682,theory(equality)]),241,theory(equality)]),683,theory(equality)]),306,theory(equality)]),331,theory(equality)]) ).

cnf(2013,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
    | 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(sr,[status(thm)],[2012,228,theory(equality)]) ).

cnf(2033,plain,
    ( sum(pred(sum(n19,n18)),sum(n17,pred(sum(n19,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[1985,2013,theory(equality)]) ).

cnf(2034,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2033,261,theory(equality)]),683,theory(equality)]),262,theory(equality)]),684,theory(equality)]),307,theory(equality)]),353,theory(equality)]) ).

cnf(2035,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[2034,230,theory(equality)]) ).

cnf(2054,plain,
    ( sum(pred(sum(n18,n18)),sum(n17,pred(sum(n18,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1985,2035,theory(equality)]) ).

cnf(2055,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2054,282,theory(equality)]),684,theory(equality)]),283,theory(equality)]),685,theory(equality)]),308,theory(equality)]),375,theory(equality)]) ).

cnf(2056,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
    | 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(sr,[status(thm)],[2055,232,theory(equality)]) ).

cnf(2074,plain,
    ( sum(pred(sum(n17,n18)),sum(n17,pred(sum(n17,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[1985,2056,theory(equality)]) ).

cnf(2075,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2074,303,theory(equality)]),685,theory(equality)]),304,theory(equality)]),686,theory(equality)]),309,theory(equality)]),397,theory(equality)]) ).

cnf(2076,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[2075,234,theory(equality)]) ).

cnf(2093,plain,
    ( sum(pred(sum(n16,n18)),sum(n17,pred(sum(n16,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1985,2076,theory(equality)]) ).

cnf(2094,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2093,324,theory(equality)]),686,theory(equality)]),325,theory(equality)]),687,theory(equality)]),310,theory(equality)]),419,theory(equality)]) ).

cnf(2095,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
    | 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(sr,[status(thm)],[2094,215,theory(equality)]) ).

cnf(2111,plain,
    ( sum(pred(sum(n15,n18)),sum(n17,pred(sum(n15,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[1985,2095,theory(equality)]) ).

cnf(2112,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2111,345,theory(equality)]),687,theory(equality)]),346,theory(equality)]),688,theory(equality)]),311,theory(equality)]),441,theory(equality)]) ).

cnf(2113,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[2112,217,theory(equality)]) ).

cnf(2128,plain,
    ( sum(pred(sum(n14,n18)),sum(n17,pred(sum(n14,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1985,2113,theory(equality)]) ).

cnf(2129,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2128,366,theory(equality)]),688,theory(equality)]),367,theory(equality)]),689,theory(equality)]),312,theory(equality)]),463,theory(equality)]) ).

cnf(2130,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
    | 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(sr,[status(thm)],[2129,219,theory(equality)]) ).

cnf(2150,plain,
    ( sum(pred(sum(n13,n18)),sum(n17,pred(sum(n13,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[1985,2130,theory(equality)]) ).

cnf(2151,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2150,387,theory(equality)]),689,theory(equality)]),388,theory(equality)]),690,theory(equality)]),313,theory(equality)]),485,theory(equality)]) ).

cnf(2152,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[2151,221,theory(equality)]) ).

cnf(2165,plain,
    ( sum(pred(sum(n12,n18)),sum(n17,pred(sum(n12,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1985,2152,theory(equality)]) ).

cnf(2166,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2165,408,theory(equality)]),690,theory(equality)]),409,theory(equality)]),691,theory(equality)]),314,theory(equality)]),507,theory(equality)]) ).

cnf(2167,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
    | 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(sr,[status(thm)],[2166,223,theory(equality)]) ).

cnf(2179,plain,
    ( sum(pred(sum(n11,n18)),sum(n17,pred(sum(n11,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[1985,2167,theory(equality)]) ).

cnf(2180,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2179,429,theory(equality)]),691,theory(equality)]),430,theory(equality)]),692,theory(equality)]),315,theory(equality)]),529,theory(equality)]) ).

cnf(2181,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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[2180,225,theory(equality)]) ).

cnf(2192,plain,
    ( sum(pred(sum(n10,n18)),sum(n17,pred(sum(n10,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1985,2181,theory(equality)]) ).

cnf(2193,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2192,450,theory(equality)]),692,theory(equality)]),451,theory(equality)]),693,theory(equality)]),316,theory(equality)]),551,theory(equality)]) ).

cnf(2194,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
    | 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(sr,[status(thm)],[2193,227,theory(equality)]) ).

cnf(2204,plain,
    ( sum(pred(sum(n9,n18)),sum(n17,pred(sum(n9,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[1985,2194,theory(equality)]) ).

cnf(2205,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2204,471,theory(equality)]),693,theory(equality)]),472,theory(equality)]),694,theory(equality)]),317,theory(equality)]),573,theory(equality)]) ).

cnf(2206,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
    | 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(sr,[status(thm)],[2205,229,theory(equality)]) ).

cnf(2215,plain,
    ( sum(pred(sum(n8,n18)),sum(n17,pred(sum(n8,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1985,2206,theory(equality)]) ).

cnf(2216,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2215,492,theory(equality)]),694,theory(equality)]),493,theory(equality)]),695,theory(equality)]),318,theory(equality)]),574,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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[2216,231,theory(equality)]) ).

cnf(2225,plain,
    ( sum(pred(sum(n7,n18)),sum(n17,pred(sum(n7,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[1985,2217,theory(equality)]) ).

cnf(2226,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2225,513,theory(equality)]),695,theory(equality)]),514,theory(equality)]),696,theory(equality)]),319,theory(equality)]),596,theory(equality)]) ).

cnf(2227,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[2226,233,theory(equality)]) ).

cnf(2234,plain,
    ( sum(pred(sum(n6,n18)),sum(n17,pred(sum(n6,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1985,2227,theory(equality)]) ).

cnf(2235,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2234,534,theory(equality)]),696,theory(equality)]),535,theory(equality)]),697,theory(equality)]),320,theory(equality)]),618,theory(equality)]) ).

cnf(2236,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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[2235,214,theory(equality)]) ).

cnf(2242,plain,
    ( sum(pred(sum(n5,n18)),sum(n17,pred(sum(n5,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[1985,2236,theory(equality)]) ).

cnf(2243,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2242,555,theory(equality)]),697,theory(equality)]),556,theory(equality)]),698,theory(equality)]),321,theory(equality)]),640,theory(equality)]) ).

cnf(2244,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[2243,216,theory(equality)]) ).

cnf(2249,plain,
    ( sum(pred(sum(n4,n18)),sum(n17,pred(sum(n4,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1985,2244,theory(equality)]) ).

cnf(2250,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2249,576,theory(equality)]),698,theory(equality)]),577,theory(equality)]),699,theory(equality)]),301,theory(equality)]),662,theory(equality)]) ).

cnf(2251,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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[2250,218,theory(equality)]) ).

cnf(2255,plain,
    ( sum(pred(sum(n3,n18)),sum(n17,pred(sum(n3,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[1985,2251,theory(equality)]) ).

cnf(2256,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2255,597,theory(equality)]),699,theory(equality)]),598,theory(equality)]),679,theory(equality)]),302,theory(equality)]),243,theory(equality)]) ).

cnf(2257,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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[2256,220,theory(equality)]) ).

cnf(2260,plain,
    ( sum(pred(sum(n2,n18)),sum(n17,pred(sum(n2,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[1985,2257,theory(equality)]) ).

cnf(2261,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2260,618,theory(equality)]),679,theory(equality)]),619,theory(equality)]),680,theory(equality)]),303,theory(equality)]),265,theory(equality)]) ).

cnf(2262,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
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[2261,222,theory(equality)]) ).

cnf(2264,plain,
    ( sum(pred(sum(n1,n18)),sum(n17,pred(sum(n1,n17)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[1985,2262,theory(equality)]) ).

cnf(2265,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2264,639,theory(equality)]),680,theory(equality)]),640,theory(equality)]),681,theory(equality)]),304,theory(equality)]),287,theory(equality)]) ).

cnf(2266,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(sr,[status(thm)],[2265,224,theory(equality)]) ).

cnf(2282,plain,
    ( sum(pred(sum(esk1_0,succ(n16))),sum(n16,pred(sum(esk1_0,n16)))) = esk3_0
    | 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(spm,[status(thm)],[235,2266,theory(equality)]) ).

cnf(2283,plain,
    ( sum(pred(sum(n0,succ(n16))),sum(n16,pred(sum(n0,n16)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = 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(spm,[status(thm)],[741,2266,theory(equality)]) ).

cnf(2284,plain,
    ( sum(pred(sum(esk1_0,n17)),sum(n16,pred(sum(esk1_0,n16)))) = esk3_0
    | 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(rw,[status(thm)],[2282,704,theory(equality)]) ).

cnf(2285,plain,
    ( n5 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = 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(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)],[2283,704,theory(equality)]),661,theory(equality)]),682,theory(equality)]),662,theory(equality)]),683,theory(equality)]),327,theory(equality)]),332,theory(equality)]) ).

cnf(2286,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = 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(sr,[status(thm)],[2285,229,theory(equality)]) ).

cnf(2310,plain,
    ( sum(pred(sum(n20,n17)),sum(n16,pred(sum(n20,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[2284,2286,theory(equality)]) ).

cnf(2311,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2310,241,theory(equality)]),683,theory(equality)]),242,theory(equality)]),684,theory(equality)]),328,theory(equality)]),354,theory(equality)]) ).

cnf(2312,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
    | 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(sr,[status(thm)],[2311,231,theory(equality)]) ).

cnf(2332,plain,
    ( sum(pred(sum(n19,n17)),sum(n16,pred(sum(n19,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[2284,2312,theory(equality)]) ).

cnf(2333,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2332,262,theory(equality)]),684,theory(equality)]),263,theory(equality)]),685,theory(equality)]),329,theory(equality)]),376,theory(equality)]) ).

cnf(2334,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[2333,233,theory(equality)]) ).

cnf(2353,plain,
    ( sum(pred(sum(n18,n17)),sum(n16,pred(sum(n18,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[2284,2334,theory(equality)]) ).

cnf(2354,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2353,283,theory(equality)]),685,theory(equality)]),284,theory(equality)]),686,theory(equality)]),330,theory(equality)]),398,theory(equality)]) ).

cnf(2355,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
    | 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(sr,[status(thm)],[2354,214,theory(equality)]) ).

cnf(2373,plain,
    ( sum(pred(sum(n17,n17)),sum(n16,pred(sum(n17,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[2284,2355,theory(equality)]) ).

cnf(2374,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2373,304,theory(equality)]),686,theory(equality)]),305,theory(equality)]),687,theory(equality)]),331,theory(equality)]),420,theory(equality)]) ).

cnf(2375,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[2374,216,theory(equality)]) ).

cnf(2395,plain,
    ( sum(pred(sum(n16,n17)),sum(n16,pred(sum(n16,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[2284,2375,theory(equality)]) ).

cnf(2396,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2395,325,theory(equality)]),687,theory(equality)]),326,theory(equality)]),688,theory(equality)]),332,theory(equality)]),442,theory(equality)]) ).

cnf(2397,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
    | 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(sr,[status(thm)],[2396,218,theory(equality)]) ).

cnf(2413,plain,
    ( sum(pred(sum(n15,n17)),sum(n16,pred(sum(n15,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[2284,2397,theory(equality)]) ).

cnf(2414,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2413,346,theory(equality)]),688,theory(equality)]),347,theory(equality)]),689,theory(equality)]),333,theory(equality)]),464,theory(equality)]) ).

cnf(2415,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[2414,220,theory(equality)]) ).

cnf(2430,plain,
    ( sum(pred(sum(n14,n17)),sum(n16,pred(sum(n14,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[2284,2415,theory(equality)]) ).

cnf(2431,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2430,367,theory(equality)]),689,theory(equality)]),368,theory(equality)]),690,theory(equality)]),334,theory(equality)]),486,theory(equality)]) ).

cnf(2432,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
    | 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(sr,[status(thm)],[2431,222,theory(equality)]) ).

cnf(2446,plain,
    ( sum(pred(sum(n13,n17)),sum(n16,pred(sum(n13,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[2284,2432,theory(equality)]) ).

cnf(2447,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2446,388,theory(equality)]),690,theory(equality)]),389,theory(equality)]),691,theory(equality)]),335,theory(equality)]),508,theory(equality)]) ).

cnf(2448,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[2447,224,theory(equality)]) ).

cnf(2461,plain,
    ( sum(pred(sum(n12,n17)),sum(n16,pred(sum(n12,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[2284,2448,theory(equality)]) ).

cnf(2462,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2461,409,theory(equality)]),691,theory(equality)]),410,theory(equality)]),692,theory(equality)]),336,theory(equality)]),530,theory(equality)]) ).

cnf(2463,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
    | 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(sr,[status(thm)],[2462,226,theory(equality)]) ).

cnf(2475,plain,
    ( sum(pred(sum(n11,n17)),sum(n16,pred(sum(n11,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[2284,2463,theory(equality)]) ).

cnf(2476,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2475,430,theory(equality)]),692,theory(equality)]),431,theory(equality)]),693,theory(equality)]),337,theory(equality)]),552,theory(equality)]) ).

cnf(2477,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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[2476,228,theory(equality)]) ).

cnf(2488,plain,
    ( sum(pred(sum(n10,n17)),sum(n16,pred(sum(n10,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[2284,2477,theory(equality)]) ).

cnf(2489,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2488,451,theory(equality)]),693,theory(equality)]),452,theory(equality)]),694,theory(equality)]),338,theory(equality)]),553,theory(equality)]) ).

cnf(2490,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
    | 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(sr,[status(thm)],[2489,230,theory(equality)]) ).

cnf(2500,plain,
    ( sum(pred(sum(n9,n17)),sum(n16,pred(sum(n9,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(spm,[status(thm)],[2284,2490,theory(equality)]) ).

cnf(2501,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2500,472,theory(equality)]),694,theory(equality)]),473,theory(equality)]),695,theory(equality)]),339,theory(equality)]),575,theory(equality)]) ).

cnf(2502,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
    | 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(sr,[status(thm)],[2501,232,theory(equality)]) ).

cnf(2511,plain,
    ( sum(pred(sum(n8,n17)),sum(n16,pred(sum(n8,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[2284,2502,theory(equality)]) ).

cnf(2512,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2511,493,theory(equality)]),695,theory(equality)]),494,theory(equality)]),696,theory(equality)]),340,theory(equality)]),597,theory(equality)]) ).

cnf(2513,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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[2512,234,theory(equality)]) ).

cnf(2521,plain,
    ( sum(pred(sum(n7,n17)),sum(n16,pred(sum(n7,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[2284,2513,theory(equality)]) ).

cnf(2522,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2521,514,theory(equality)]),696,theory(equality)]),515,theory(equality)]),697,theory(equality)]),341,theory(equality)]),619,theory(equality)]) ).

cnf(2523,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[2522,215,theory(equality)]) ).

cnf(2530,plain,
    ( sum(pred(sum(n6,n17)),sum(n16,pred(sum(n6,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[2284,2523,theory(equality)]) ).

cnf(2531,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2530,535,theory(equality)]),697,theory(equality)]),536,theory(equality)]),698,theory(equality)]),342,theory(equality)]),641,theory(equality)]) ).

cnf(2532,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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[2531,217,theory(equality)]) ).

cnf(2538,plain,
    ( sum(pred(sum(n5,n17)),sum(n16,pred(sum(n5,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[2284,2532,theory(equality)]) ).

cnf(2539,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2538,556,theory(equality)]),698,theory(equality)]),557,theory(equality)]),699,theory(equality)]),322,theory(equality)]),663,theory(equality)]) ).

cnf(2540,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[2539,219,theory(equality)]) ).

cnf(2545,plain,
    ( sum(pred(sum(n4,n17)),sum(n16,pred(sum(n4,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[2284,2540,theory(equality)]) ).

cnf(2546,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2545,577,theory(equality)]),699,theory(equality)]),578,theory(equality)]),679,theory(equality)]),323,theory(equality)]),244,theory(equality)]) ).

cnf(2547,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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[2546,221,theory(equality)]) ).

cnf(2551,plain,
    ( sum(pred(sum(n3,n17)),sum(n16,pred(sum(n3,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[2284,2547,theory(equality)]) ).

cnf(2552,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2551,598,theory(equality)]),679,theory(equality)]),599,theory(equality)]),680,theory(equality)]),324,theory(equality)]),266,theory(equality)]) ).

cnf(2553,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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[2552,223,theory(equality)]) ).

cnf(2556,plain,
    ( sum(pred(sum(n2,n17)),sum(n16,pred(sum(n2,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[2284,2553,theory(equality)]) ).

cnf(2557,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2556,619,theory(equality)]),680,theory(equality)]),620,theory(equality)]),681,theory(equality)]),325,theory(equality)]),288,theory(equality)]) ).

cnf(2558,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
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[2557,225,theory(equality)]) ).

cnf(2560,plain,
    ( sum(pred(sum(n1,n17)),sum(n16,pred(sum(n1,n16)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[2284,2558,theory(equality)]) ).

cnf(2561,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2560,640,theory(equality)]),681,theory(equality)]),641,theory(equality)]),682,theory(equality)]),326,theory(equality)]),310,theory(equality)]) ).

cnf(2562,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 ),
    inference(sr,[status(thm)],[2561,227,theory(equality)]) ).

cnf(2595,plain,
    ( sum(pred(sum(esk1_0,succ(n15))),sum(n15,pred(sum(esk1_0,n15)))) = esk3_0
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(spm,[status(thm)],[235,2562,theory(equality)]) ).

cnf(2596,plain,
    ( sum(pred(sum(n0,succ(n15))),sum(n15,pred(sum(n0,n15)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[741,2562,theory(equality)]) ).

cnf(2597,plain,
    ( sum(pred(sum(esk1_0,n16)),sum(n15,pred(sum(esk1_0,n15)))) = esk3_0
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(rw,[status(thm)],[2595,705,theory(equality)]) ).

cnf(2598,plain,
    ( n2 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(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)],[2596,705,theory(equality)]),662,theory(equality)]),683,theory(equality)]),663,theory(equality)]),684,theory(equality)]),349,theory(equality)]),355,theory(equality)]) ).

cnf(2599,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[2598,232,theory(equality)]) ).

cnf(2623,plain,
    ( sum(pred(sum(n20,n16)),sum(n15,pred(sum(n20,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | 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(spm,[status(thm)],[2597,2599,theory(equality)]) ).

cnf(2624,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2623,242,theory(equality)]),684,theory(equality)]),243,theory(equality)]),685,theory(equality)]),350,theory(equality)]),377,theory(equality)]) ).

cnf(2625,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
    | 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(sr,[status(thm)],[2624,234,theory(equality)]) ).

cnf(2645,plain,
    ( sum(pred(sum(n19,n16)),sum(n15,pred(sum(n19,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[2597,2625,theory(equality)]) ).

cnf(2646,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2645,263,theory(equality)]),685,theory(equality)]),264,theory(equality)]),686,theory(equality)]),351,theory(equality)]),399,theory(equality)]) ).

cnf(2647,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[2646,215,theory(equality)]) ).

cnf(2666,plain,
    ( sum(pred(sum(n18,n16)),sum(n15,pred(sum(n18,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | 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(spm,[status(thm)],[2597,2647,theory(equality)]) ).

cnf(2667,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2666,284,theory(equality)]),686,theory(equality)]),285,theory(equality)]),687,theory(equality)]),352,theory(equality)]),421,theory(equality)]) ).

cnf(2668,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
    | 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(sr,[status(thm)],[2667,217,theory(equality)]) ).

cnf(2686,plain,
    ( sum(pred(sum(n17,n16)),sum(n15,pred(sum(n17,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[2597,2668,theory(equality)]) ).

cnf(2687,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2686,305,theory(equality)]),687,theory(equality)]),306,theory(equality)]),688,theory(equality)]),353,theory(equality)]),443,theory(equality)]) ).

cnf(2688,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[2687,219,theory(equality)]) ).

cnf(2705,plain,
    ( sum(pred(sum(n16,n16)),sum(n15,pred(sum(n16,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | 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(spm,[status(thm)],[2597,2688,theory(equality)]) ).

cnf(2706,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2705,326,theory(equality)]),688,theory(equality)]),327,theory(equality)]),689,theory(equality)]),354,theory(equality)]),465,theory(equality)]) ).

cnf(2707,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
    | 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(sr,[status(thm)],[2706,221,theory(equality)]) ).

cnf(2723,plain,
    ( sum(pred(sum(n15,n16)),sum(n15,pred(sum(n15,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[2597,2707,theory(equality)]) ).

cnf(2724,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2723,347,theory(equality)]),689,theory(equality)]),348,theory(equality)]),690,theory(equality)]),355,theory(equality)]),487,theory(equality)]) ).

cnf(2725,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[2724,223,theory(equality)]) ).

cnf(2740,plain,
    ( sum(pred(sum(n14,n16)),sum(n15,pred(sum(n14,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_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(spm,[status(thm)],[2597,2725,theory(equality)]) ).

cnf(2741,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2740,368,theory(equality)]),690,theory(equality)]),369,theory(equality)]),691,theory(equality)]),356,theory(equality)]),509,theory(equality)]) ).

cnf(2742,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
    | 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(sr,[status(thm)],[2741,225,theory(equality)]) ).

cnf(2756,plain,
    ( sum(pred(sum(n13,n16)),sum(n15,pred(sum(n13,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[2597,2742,theory(equality)]) ).

cnf(2757,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2756,389,theory(equality)]),691,theory(equality)]),390,theory(equality)]),692,theory(equality)]),357,theory(equality)]),531,theory(equality)]) ).

cnf(2758,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[2757,227,theory(equality)]) ).

cnf(2771,plain,
    ( sum(pred(sum(n12,n16)),sum(n15,pred(sum(n12,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | 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(spm,[status(thm)],[2597,2758,theory(equality)]) ).

cnf(2772,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2771,410,theory(equality)]),692,theory(equality)]),411,theory(equality)]),693,theory(equality)]),358,theory(equality)]),532,theory(equality)]) ).

cnf(2773,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
    | 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(sr,[status(thm)],[2772,229,theory(equality)]) ).

cnf(2785,plain,
    ( sum(pred(sum(n11,n16)),sum(n15,pred(sum(n11,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[2597,2773,theory(equality)]) ).

cnf(2786,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2785,431,theory(equality)]),693,theory(equality)]),432,theory(equality)]),694,theory(equality)]),359,theory(equality)]),554,theory(equality)]) ).

cnf(2787,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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[2786,231,theory(equality)]) ).

cnf(2798,plain,
    ( sum(pred(sum(n10,n16)),sum(n15,pred(sum(n10,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | 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(spm,[status(thm)],[2597,2787,theory(equality)]) ).

cnf(2799,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2798,452,theory(equality)]),694,theory(equality)]),453,theory(equality)]),695,theory(equality)]),360,theory(equality)]),576,theory(equality)]) ).

cnf(2800,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
    | 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(sr,[status(thm)],[2799,233,theory(equality)]) ).

cnf(2810,plain,
    ( sum(pred(sum(n9,n16)),sum(n15,pred(sum(n9,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | 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(spm,[status(thm)],[2597,2800,theory(equality)]) ).

cnf(2811,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2810,473,theory(equality)]),695,theory(equality)]),474,theory(equality)]),696,theory(equality)]),361,theory(equality)]),598,theory(equality)]) ).

cnf(2812,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
    | 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(sr,[status(thm)],[2811,214,theory(equality)]) ).

cnf(2821,plain,
    ( sum(pred(sum(n8,n16)),sum(n15,pred(sum(n8,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[2597,2812,theory(equality)]) ).

cnf(2822,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2821,494,theory(equality)]),696,theory(equality)]),495,theory(equality)]),697,theory(equality)]),362,theory(equality)]),620,theory(equality)]) ).

cnf(2823,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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[2822,216,theory(equality)]) ).

cnf(2831,plain,
    ( sum(pred(sum(n7,n16)),sum(n15,pred(sum(n7,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[2597,2823,theory(equality)]) ).

cnf(2832,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2831,515,theory(equality)]),697,theory(equality)]),516,theory(equality)]),698,theory(equality)]),363,theory(equality)]),642,theory(equality)]) ).

cnf(2833,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[2832,218,theory(equality)]) ).

cnf(2840,plain,
    ( sum(pred(sum(n6,n16)),sum(n15,pred(sum(n6,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[2597,2833,theory(equality)]) ).

cnf(2841,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2840,536,theory(equality)]),698,theory(equality)]),537,theory(equality)]),699,theory(equality)]),343,theory(equality)]),664,theory(equality)]) ).

cnf(2842,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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[2841,220,theory(equality)]) ).

cnf(2848,plain,
    ( sum(pred(sum(n5,n16)),sum(n15,pred(sum(n5,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[2597,2842,theory(equality)]) ).

cnf(2849,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2848,557,theory(equality)]),699,theory(equality)]),558,theory(equality)]),679,theory(equality)]),344,theory(equality)]),245,theory(equality)]) ).

cnf(2850,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[2849,222,theory(equality)]) ).

cnf(2855,plain,
    ( sum(pred(sum(n4,n16)),sum(n15,pred(sum(n4,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[2597,2850,theory(equality)]) ).

cnf(2856,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2855,578,theory(equality)]),679,theory(equality)]),579,theory(equality)]),680,theory(equality)]),345,theory(equality)]),267,theory(equality)]) ).

cnf(2857,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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[2856,224,theory(equality)]) ).

cnf(2861,plain,
    ( sum(pred(sum(n3,n16)),sum(n15,pred(sum(n3,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[2597,2857,theory(equality)]) ).

cnf(2862,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2861,599,theory(equality)]),680,theory(equality)]),600,theory(equality)]),681,theory(equality)]),346,theory(equality)]),289,theory(equality)]) ).

cnf(2863,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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[2862,226,theory(equality)]) ).

cnf(2866,plain,
    ( sum(pred(sum(n2,n16)),sum(n15,pred(sum(n2,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[2597,2863,theory(equality)]) ).

cnf(2867,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2866,620,theory(equality)]),681,theory(equality)]),621,theory(equality)]),682,theory(equality)]),347,theory(equality)]),311,theory(equality)]) ).

cnf(2868,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
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[2867,228,theory(equality)]) ).

cnf(2870,plain,
    ( sum(pred(sum(n1,n16)),sum(n15,pred(sum(n1,n15)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[2597,2868,theory(equality)]) ).

cnf(2871,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2870,641,theory(equality)]),682,theory(equality)]),642,theory(equality)]),683,theory(equality)]),348,theory(equality)]),333,theory(equality)]) ).

cnf(2872,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(sr,[status(thm)],[2871,230,theory(equality)]) ).

cnf(2886,plain,
    ( sum(pred(sum(esk1_0,succ(n14))),sum(n14,pred(sum(esk1_0,n14)))) = esk3_0
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(spm,[status(thm)],[235,2872,theory(equality)]) ).

cnf(2887,plain,
    ( sum(pred(sum(n0,succ(n14))),sum(n14,pred(sum(n0,n14)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(spm,[status(thm)],[741,2872,theory(equality)]) ).

cnf(2888,plain,
    ( sum(pred(sum(esk1_0,n15)),sum(n14,pred(sum(esk1_0,n14)))) = esk3_0
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(rw,[status(thm)],[2886,706,theory(equality)]) ).

cnf(2889,plain,
    ( n20 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(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)],[2887,706,theory(equality)]),663,theory(equality)]),684,theory(equality)]),664,theory(equality)]),685,theory(equality)]),371,theory(equality)]),378,theory(equality)]) ).

cnf(2890,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(sr,[status(thm)],[2889,214,theory(equality)]) ).

cnf(2914,plain,
    ( sum(pred(sum(n20,n15)),sum(n14,pred(sum(n20,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | 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(spm,[status(thm)],[2888,2890,theory(equality)]) ).

cnf(2915,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2914,243,theory(equality)]),685,theory(equality)]),244,theory(equality)]),686,theory(equality)]),372,theory(equality)]),400,theory(equality)]) ).

cnf(2916,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
    | 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(sr,[status(thm)],[2915,216,theory(equality)]) ).

cnf(2936,plain,
    ( sum(pred(sum(n19,n15)),sum(n14,pred(sum(n19,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[2888,2916,theory(equality)]) ).

cnf(2937,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2936,264,theory(equality)]),686,theory(equality)]),265,theory(equality)]),687,theory(equality)]),373,theory(equality)]),422,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[2937,218,theory(equality)]) ).

cnf(2957,plain,
    ( sum(pred(sum(n18,n15)),sum(n14,pred(sum(n18,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | 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(spm,[status(thm)],[2888,2938,theory(equality)]) ).

cnf(2958,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2957,285,theory(equality)]),687,theory(equality)]),286,theory(equality)]),688,theory(equality)]),374,theory(equality)]),444,theory(equality)]) ).

cnf(2959,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
    | 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(sr,[status(thm)],[2958,220,theory(equality)]) ).

cnf(2977,plain,
    ( sum(pred(sum(n17,n15)),sum(n14,pred(sum(n17,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[2888,2959,theory(equality)]) ).

cnf(2978,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2977,306,theory(equality)]),688,theory(equality)]),307,theory(equality)]),689,theory(equality)]),375,theory(equality)]),466,theory(equality)]) ).

cnf(2979,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[2978,222,theory(equality)]) ).

cnf(2996,plain,
    ( sum(pred(sum(n16,n15)),sum(n14,pred(sum(n16,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | 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(spm,[status(thm)],[2888,2979,theory(equality)]) ).

cnf(2997,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2996,327,theory(equality)]),689,theory(equality)]),328,theory(equality)]),690,theory(equality)]),376,theory(equality)]),488,theory(equality)]) ).

cnf(2998,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
    | 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(sr,[status(thm)],[2997,224,theory(equality)]) ).

cnf(3014,plain,
    ( sum(pred(sum(n15,n15)),sum(n14,pred(sum(n15,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[2888,2998,theory(equality)]) ).

cnf(3015,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3014,348,theory(equality)]),690,theory(equality)]),349,theory(equality)]),691,theory(equality)]),377,theory(equality)]),510,theory(equality)]) ).

cnf(3016,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[3015,226,theory(equality)]) ).

cnf(3031,plain,
    ( sum(pred(sum(n14,n15)),sum(n14,pred(sum(n14,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | 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(spm,[status(thm)],[2888,3016,theory(equality)]) ).

cnf(3032,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3031,369,theory(equality)]),691,theory(equality)]),370,theory(equality)]),692,theory(equality)]),378,theory(equality)]),511,theory(equality)]) ).

cnf(3033,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
    | 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(sr,[status(thm)],[3032,228,theory(equality)]) ).

cnf(3047,plain,
    ( sum(pred(sum(n13,n15)),sum(n14,pred(sum(n13,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[2888,3033,theory(equality)]) ).

cnf(3048,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3047,390,theory(equality)]),692,theory(equality)]),391,theory(equality)]),693,theory(equality)]),379,theory(equality)]),533,theory(equality)]) ).

cnf(3049,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[3048,230,theory(equality)]) ).

cnf(3069,plain,
    ( sum(pred(sum(n12,n15)),sum(n14,pred(sum(n12,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | 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(spm,[status(thm)],[2888,3049,theory(equality)]) ).

cnf(3070,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3069,411,theory(equality)]),693,theory(equality)]),412,theory(equality)]),694,theory(equality)]),380,theory(equality)]),555,theory(equality)]) ).

cnf(3071,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
    | 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(sr,[status(thm)],[3070,232,theory(equality)]) ).

cnf(3083,plain,
    ( sum(pred(sum(n11,n15)),sum(n14,pred(sum(n11,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[2888,3071,theory(equality)]) ).

cnf(3084,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3083,432,theory(equality)]),694,theory(equality)]),433,theory(equality)]),695,theory(equality)]),381,theory(equality)]),577,theory(equality)]) ).

cnf(3085,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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[3084,234,theory(equality)]) ).

cnf(3096,plain,
    ( sum(pred(sum(n10,n15)),sum(n14,pred(sum(n10,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | 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(spm,[status(thm)],[2888,3085,theory(equality)]) ).

cnf(3097,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3096,453,theory(equality)]),695,theory(equality)]),454,theory(equality)]),696,theory(equality)]),382,theory(equality)]),599,theory(equality)]) ).

cnf(3098,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
    | 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(sr,[status(thm)],[3097,215,theory(equality)]) ).

cnf(3108,plain,
    ( sum(pred(sum(n9,n15)),sum(n14,pred(sum(n9,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | 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(spm,[status(thm)],[2888,3098,theory(equality)]) ).

cnf(3109,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3108,474,theory(equality)]),696,theory(equality)]),475,theory(equality)]),697,theory(equality)]),383,theory(equality)]),621,theory(equality)]) ).

cnf(3110,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
    | 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(sr,[status(thm)],[3109,217,theory(equality)]) ).

cnf(3119,plain,
    ( sum(pred(sum(n8,n15)),sum(n14,pred(sum(n8,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[2888,3110,theory(equality)]) ).

cnf(3120,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3119,495,theory(equality)]),697,theory(equality)]),496,theory(equality)]),698,theory(equality)]),384,theory(equality)]),643,theory(equality)]) ).

cnf(3121,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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[3120,219,theory(equality)]) ).

cnf(3129,plain,
    ( sum(pred(sum(n7,n15)),sum(n14,pred(sum(n7,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[2888,3121,theory(equality)]) ).

cnf(3130,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3129,516,theory(equality)]),698,theory(equality)]),517,theory(equality)]),699,theory(equality)]),364,theory(equality)]),665,theory(equality)]) ).

cnf(3131,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[3130,221,theory(equality)]) ).

cnf(3138,plain,
    ( sum(pred(sum(n6,n15)),sum(n14,pred(sum(n6,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[2888,3131,theory(equality)]) ).

cnf(3139,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3138,537,theory(equality)]),699,theory(equality)]),538,theory(equality)]),679,theory(equality)]),365,theory(equality)]),246,theory(equality)]) ).

cnf(3140,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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[3139,223,theory(equality)]) ).

cnf(3146,plain,
    ( sum(pred(sum(n5,n15)),sum(n14,pred(sum(n5,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[2888,3140,theory(equality)]) ).

cnf(3147,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3146,558,theory(equality)]),679,theory(equality)]),559,theory(equality)]),680,theory(equality)]),366,theory(equality)]),268,theory(equality)]) ).

cnf(3148,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[3147,225,theory(equality)]) ).

cnf(3153,plain,
    ( sum(pred(sum(n4,n15)),sum(n14,pred(sum(n4,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[2888,3148,theory(equality)]) ).

cnf(3154,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3153,579,theory(equality)]),680,theory(equality)]),580,theory(equality)]),681,theory(equality)]),367,theory(equality)]),290,theory(equality)]) ).

cnf(3155,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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[3154,227,theory(equality)]) ).

cnf(3159,plain,
    ( sum(pred(sum(n3,n15)),sum(n14,pred(sum(n3,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[2888,3155,theory(equality)]) ).

cnf(3160,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3159,600,theory(equality)]),681,theory(equality)]),601,theory(equality)]),682,theory(equality)]),368,theory(equality)]),312,theory(equality)]) ).

cnf(3161,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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[3160,229,theory(equality)]) ).

cnf(3164,plain,
    ( sum(pred(sum(n2,n15)),sum(n14,pred(sum(n2,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[2888,3161,theory(equality)]) ).

cnf(3165,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3164,621,theory(equality)]),682,theory(equality)]),622,theory(equality)]),683,theory(equality)]),369,theory(equality)]),334,theory(equality)]) ).

cnf(3166,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
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[3165,231,theory(equality)]) ).

cnf(3168,plain,
    ( sum(pred(sum(n1,n15)),sum(n14,pred(sum(n1,n14)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(spm,[status(thm)],[2888,3166,theory(equality)]) ).

cnf(3169,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3168,642,theory(equality)]),683,theory(equality)]),643,theory(equality)]),684,theory(equality)]),370,theory(equality)]),356,theory(equality)]) ).

cnf(3170,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 ),
    inference(sr,[status(thm)],[3169,233,theory(equality)]) ).

cnf(3183,plain,
    ( sum(pred(sum(esk1_0,succ(n13))),sum(n13,pred(sum(esk1_0,n13)))) = esk3_0
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(spm,[status(thm)],[235,3170,theory(equality)]) ).

cnf(3184,plain,
    ( sum(pred(sum(n0,succ(n13))),sum(n13,pred(sum(n0,n13)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[741,3170,theory(equality)]) ).

cnf(3185,plain,
    ( sum(pred(sum(esk1_0,n14)),sum(n13,pred(sum(esk1_0,n13)))) = esk3_0
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(rw,[status(thm)],[3183,707,theory(equality)]) ).

cnf(3186,plain,
    ( n17 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(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)],[3184,707,theory(equality)]),664,theory(equality)]),685,theory(equality)]),665,theory(equality)]),686,theory(equality)]),393,theory(equality)]),401,theory(equality)]) ).

cnf(3187,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[3186,217,theory(equality)]) ).

cnf(3211,plain,
    ( sum(pred(sum(n20,n14)),sum(n13,pred(sum(n20,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | 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(spm,[status(thm)],[3185,3187,theory(equality)]) ).

cnf(3212,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3211,244,theory(equality)]),686,theory(equality)]),245,theory(equality)]),687,theory(equality)]),394,theory(equality)]),423,theory(equality)]) ).

cnf(3213,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
    | 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(sr,[status(thm)],[3212,219,theory(equality)]) ).

cnf(3233,plain,
    ( sum(pred(sum(n19,n14)),sum(n13,pred(sum(n19,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[3185,3213,theory(equality)]) ).

cnf(3234,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3233,265,theory(equality)]),687,theory(equality)]),266,theory(equality)]),688,theory(equality)]),395,theory(equality)]),445,theory(equality)]) ).

cnf(3235,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[3234,221,theory(equality)]) ).

cnf(3254,plain,
    ( sum(pred(sum(n18,n14)),sum(n13,pred(sum(n18,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | 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(spm,[status(thm)],[3185,3235,theory(equality)]) ).

cnf(3255,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3254,286,theory(equality)]),688,theory(equality)]),287,theory(equality)]),689,theory(equality)]),396,theory(equality)]),467,theory(equality)]) ).

cnf(3256,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
    | 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(sr,[status(thm)],[3255,223,theory(equality)]) ).

cnf(3274,plain,
    ( sum(pred(sum(n17,n14)),sum(n13,pred(sum(n17,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[3185,3256,theory(equality)]) ).

cnf(3275,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3274,307,theory(equality)]),689,theory(equality)]),308,theory(equality)]),690,theory(equality)]),397,theory(equality)]),489,theory(equality)]) ).

cnf(3276,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[3275,225,theory(equality)]) ).

cnf(3293,plain,
    ( sum(pred(sum(n16,n14)),sum(n13,pred(sum(n16,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | 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(spm,[status(thm)],[3185,3276,theory(equality)]) ).

cnf(3294,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3293,328,theory(equality)]),690,theory(equality)]),329,theory(equality)]),691,theory(equality)]),398,theory(equality)]),490,theory(equality)]) ).

cnf(3295,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
    | 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(sr,[status(thm)],[3294,227,theory(equality)]) ).

cnf(3311,plain,
    ( sum(pred(sum(n15,n14)),sum(n13,pred(sum(n15,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[3185,3295,theory(equality)]) ).

cnf(3312,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3311,349,theory(equality)]),691,theory(equality)]),350,theory(equality)]),692,theory(equality)]),399,theory(equality)]),512,theory(equality)]) ).

cnf(3313,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[3312,229,theory(equality)]) ).

cnf(3328,plain,
    ( sum(pred(sum(n14,n14)),sum(n13,pred(sum(n14,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | 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(spm,[status(thm)],[3185,3313,theory(equality)]) ).

cnf(3329,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3328,370,theory(equality)]),692,theory(equality)]),371,theory(equality)]),693,theory(equality)]),400,theory(equality)]),534,theory(equality)]) ).

cnf(3330,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
    | 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(sr,[status(thm)],[3329,231,theory(equality)]) ).

cnf(3344,plain,
    ( sum(pred(sum(n13,n14)),sum(n13,pred(sum(n13,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[3185,3330,theory(equality)]) ).

cnf(3345,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3344,391,theory(equality)]),693,theory(equality)]),392,theory(equality)]),694,theory(equality)]),401,theory(equality)]),556,theory(equality)]) ).

cnf(3346,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[3345,233,theory(equality)]) ).

cnf(3366,plain,
    ( sum(pred(sum(n12,n14)),sum(n13,pred(sum(n12,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_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(spm,[status(thm)],[3185,3346,theory(equality)]) ).

cnf(3367,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3366,412,theory(equality)]),694,theory(equality)]),413,theory(equality)]),695,theory(equality)]),402,theory(equality)]),578,theory(equality)]) ).

cnf(3368,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
    | 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(sr,[status(thm)],[3367,214,theory(equality)]) ).

cnf(3380,plain,
    ( sum(pred(sum(n11,n14)),sum(n13,pred(sum(n11,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[3185,3368,theory(equality)]) ).

cnf(3381,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3380,433,theory(equality)]),695,theory(equality)]),434,theory(equality)]),696,theory(equality)]),403,theory(equality)]),600,theory(equality)]) ).

cnf(3382,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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[3381,216,theory(equality)]) ).

cnf(3393,plain,
    ( sum(pred(sum(n10,n14)),sum(n13,pred(sum(n10,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | 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(spm,[status(thm)],[3185,3382,theory(equality)]) ).

cnf(3394,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3393,454,theory(equality)]),696,theory(equality)]),455,theory(equality)]),697,theory(equality)]),404,theory(equality)]),622,theory(equality)]) ).

cnf(3395,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
    | 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(sr,[status(thm)],[3394,218,theory(equality)]) ).

cnf(3405,plain,
    ( sum(pred(sum(n9,n14)),sum(n13,pred(sum(n9,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | 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(spm,[status(thm)],[3185,3395,theory(equality)]) ).

cnf(3406,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3405,475,theory(equality)]),697,theory(equality)]),476,theory(equality)]),698,theory(equality)]),405,theory(equality)]),644,theory(equality)]) ).

cnf(3407,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
    | 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(sr,[status(thm)],[3406,220,theory(equality)]) ).

cnf(3416,plain,
    ( sum(pred(sum(n8,n14)),sum(n13,pred(sum(n8,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[3185,3407,theory(equality)]) ).

cnf(3417,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3416,496,theory(equality)]),698,theory(equality)]),497,theory(equality)]),699,theory(equality)]),385,theory(equality)]),666,theory(equality)]) ).

cnf(3418,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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[3417,222,theory(equality)]) ).

cnf(3426,plain,
    ( sum(pred(sum(n7,n14)),sum(n13,pred(sum(n7,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[3185,3418,theory(equality)]) ).

cnf(3427,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3426,517,theory(equality)]),699,theory(equality)]),518,theory(equality)]),679,theory(equality)]),386,theory(equality)]),247,theory(equality)]) ).

cnf(3428,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[3427,224,theory(equality)]) ).

cnf(3435,plain,
    ( sum(pred(sum(n6,n14)),sum(n13,pred(sum(n6,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[3185,3428,theory(equality)]) ).

cnf(3436,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3435,538,theory(equality)]),679,theory(equality)]),539,theory(equality)]),680,theory(equality)]),387,theory(equality)]),269,theory(equality)]) ).

cnf(3437,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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[3436,226,theory(equality)]) ).

cnf(3443,plain,
    ( sum(pred(sum(n5,n14)),sum(n13,pred(sum(n5,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[3185,3437,theory(equality)]) ).

cnf(3444,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3443,559,theory(equality)]),680,theory(equality)]),560,theory(equality)]),681,theory(equality)]),388,theory(equality)]),291,theory(equality)]) ).

cnf(3445,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[3444,228,theory(equality)]) ).

cnf(3450,plain,
    ( sum(pred(sum(n4,n14)),sum(n13,pred(sum(n4,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[3185,3445,theory(equality)]) ).

cnf(3451,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3450,580,theory(equality)]),681,theory(equality)]),581,theory(equality)]),682,theory(equality)]),389,theory(equality)]),313,theory(equality)]) ).

cnf(3452,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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[3451,230,theory(equality)]) ).

cnf(3456,plain,
    ( sum(pred(sum(n3,n14)),sum(n13,pred(sum(n3,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[3185,3452,theory(equality)]) ).

cnf(3457,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3456,601,theory(equality)]),682,theory(equality)]),602,theory(equality)]),683,theory(equality)]),390,theory(equality)]),335,theory(equality)]) ).

cnf(3458,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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[3457,232,theory(equality)]) ).

cnf(3461,plain,
    ( sum(pred(sum(n2,n14)),sum(n13,pred(sum(n2,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[3185,3458,theory(equality)]) ).

cnf(3462,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3461,622,theory(equality)]),683,theory(equality)]),623,theory(equality)]),684,theory(equality)]),391,theory(equality)]),357,theory(equality)]) ).

cnf(3463,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
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[3462,234,theory(equality)]) ).

cnf(3465,plain,
    ( sum(pred(sum(n1,n14)),sum(n13,pred(sum(n1,n13)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(spm,[status(thm)],[3185,3463,theory(equality)]) ).

cnf(3466,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3465,643,theory(equality)]),684,theory(equality)]),644,theory(equality)]),685,theory(equality)]),392,theory(equality)]),379,theory(equality)]) ).

cnf(3467,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(sr,[status(thm)],[3466,215,theory(equality)]) ).

cnf(3479,plain,
    ( sum(pred(sum(esk1_0,succ(n12))),sum(n12,pred(sum(esk1_0,n12)))) = esk3_0
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(spm,[status(thm)],[235,3467,theory(equality)]) ).

cnf(3480,plain,
    ( sum(pred(sum(n0,succ(n12))),sum(n12,pred(sum(n0,n12)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(spm,[status(thm)],[741,3467,theory(equality)]) ).

cnf(3481,plain,
    ( sum(pred(sum(esk1_0,n13)),sum(n12,pred(sum(esk1_0,n12)))) = esk3_0
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(rw,[status(thm)],[3479,708,theory(equality)]) ).

cnf(3482,plain,
    ( n14 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(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)],[3480,708,theory(equality)]),665,theory(equality)]),686,theory(equality)]),666,theory(equality)]),687,theory(equality)]),415,theory(equality)]),424,theory(equality)]) ).

cnf(3483,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(sr,[status(thm)],[3482,220,theory(equality)]) ).

cnf(3507,plain,
    ( sum(pred(sum(n20,n13)),sum(n12,pred(sum(n20,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | 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(spm,[status(thm)],[3481,3483,theory(equality)]) ).

cnf(3508,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3507,245,theory(equality)]),687,theory(equality)]),246,theory(equality)]),688,theory(equality)]),416,theory(equality)]),446,theory(equality)]) ).

cnf(3509,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
    | 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(sr,[status(thm)],[3508,222,theory(equality)]) ).

cnf(3529,plain,
    ( sum(pred(sum(n19,n13)),sum(n12,pred(sum(n19,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[3481,3509,theory(equality)]) ).

cnf(3530,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3529,266,theory(equality)]),688,theory(equality)]),267,theory(equality)]),689,theory(equality)]),417,theory(equality)]),468,theory(equality)]) ).

cnf(3531,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[3530,224,theory(equality)]) ).

cnf(3550,plain,
    ( sum(pred(sum(n18,n13)),sum(n12,pred(sum(n18,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | 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(spm,[status(thm)],[3481,3531,theory(equality)]) ).

cnf(3551,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3550,287,theory(equality)]),689,theory(equality)]),288,theory(equality)]),690,theory(equality)]),418,theory(equality)]),469,theory(equality)]) ).

cnf(3552,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
    | 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(sr,[status(thm)],[3551,226,theory(equality)]) ).

cnf(3570,plain,
    ( sum(pred(sum(n17,n13)),sum(n12,pred(sum(n17,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[3481,3552,theory(equality)]) ).

cnf(3571,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3570,308,theory(equality)]),690,theory(equality)]),309,theory(equality)]),691,theory(equality)]),419,theory(equality)]),491,theory(equality)]) ).

cnf(3572,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[3571,228,theory(equality)]) ).

cnf(3589,plain,
    ( sum(pred(sum(n16,n13)),sum(n12,pred(sum(n16,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | 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(spm,[status(thm)],[3481,3572,theory(equality)]) ).

cnf(3590,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3589,329,theory(equality)]),691,theory(equality)]),330,theory(equality)]),692,theory(equality)]),420,theory(equality)]),513,theory(equality)]) ).

cnf(3591,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
    | 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(sr,[status(thm)],[3590,230,theory(equality)]) ).

cnf(3607,plain,
    ( sum(pred(sum(n15,n13)),sum(n12,pred(sum(n15,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[3481,3591,theory(equality)]) ).

cnf(3608,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3607,350,theory(equality)]),692,theory(equality)]),351,theory(equality)]),693,theory(equality)]),421,theory(equality)]),535,theory(equality)]) ).

cnf(3609,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[3608,232,theory(equality)]) ).

cnf(3624,plain,
    ( sum(pred(sum(n14,n13)),sum(n12,pred(sum(n14,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | 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(spm,[status(thm)],[3481,3609,theory(equality)]) ).

cnf(3625,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3624,371,theory(equality)]),693,theory(equality)]),372,theory(equality)]),694,theory(equality)]),422,theory(equality)]),557,theory(equality)]) ).

cnf(3626,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
    | 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(sr,[status(thm)],[3625,234,theory(equality)]) ).

cnf(3640,plain,
    ( sum(pred(sum(n13,n13)),sum(n12,pred(sum(n13,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[3481,3626,theory(equality)]) ).

cnf(3641,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3640,392,theory(equality)]),694,theory(equality)]),393,theory(equality)]),695,theory(equality)]),423,theory(equality)]),579,theory(equality)]) ).

cnf(3642,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[3641,215,theory(equality)]) ).

cnf(3655,plain,
    ( sum(pred(sum(n12,n13)),sum(n12,pred(sum(n12,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | 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(spm,[status(thm)],[3481,3642,theory(equality)]) ).

cnf(3656,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3655,413,theory(equality)]),695,theory(equality)]),414,theory(equality)]),696,theory(equality)]),424,theory(equality)]),601,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
    | 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(sr,[status(thm)],[3656,217,theory(equality)]) ).

cnf(3677,plain,
    ( sum(pred(sum(n11,n13)),sum(n12,pred(sum(n11,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[3481,3657,theory(equality)]) ).

cnf(3678,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3677,434,theory(equality)]),696,theory(equality)]),435,theory(equality)]),697,theory(equality)]),425,theory(equality)]),623,theory(equality)]) ).

cnf(3679,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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[3678,219,theory(equality)]) ).

cnf(3690,plain,
    ( sum(pred(sum(n10,n13)),sum(n12,pred(sum(n10,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | 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(spm,[status(thm)],[3481,3679,theory(equality)]) ).

cnf(3691,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3690,455,theory(equality)]),697,theory(equality)]),456,theory(equality)]),698,theory(equality)]),426,theory(equality)]),645,theory(equality)]) ).

cnf(3692,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
    | 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(sr,[status(thm)],[3691,221,theory(equality)]) ).

cnf(3702,plain,
    ( sum(pred(sum(n9,n13)),sum(n12,pred(sum(n9,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | 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(spm,[status(thm)],[3481,3692,theory(equality)]) ).

cnf(3703,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3702,476,theory(equality)]),698,theory(equality)]),477,theory(equality)]),699,theory(equality)]),406,theory(equality)]),667,theory(equality)]) ).

cnf(3704,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
    | 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(sr,[status(thm)],[3703,223,theory(equality)]) ).

cnf(3713,plain,
    ( sum(pred(sum(n8,n13)),sum(n12,pred(sum(n8,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[3481,3704,theory(equality)]) ).

cnf(3714,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3713,497,theory(equality)]),699,theory(equality)]),498,theory(equality)]),679,theory(equality)]),407,theory(equality)]),248,theory(equality)]) ).

cnf(3715,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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[3714,225,theory(equality)]) ).

cnf(3723,plain,
    ( sum(pred(sum(n7,n13)),sum(n12,pred(sum(n7,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[3481,3715,theory(equality)]) ).

cnf(3724,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3723,518,theory(equality)]),679,theory(equality)]),519,theory(equality)]),680,theory(equality)]),408,theory(equality)]),270,theory(equality)]) ).

cnf(3725,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[3724,227,theory(equality)]) ).

cnf(3732,plain,
    ( sum(pred(sum(n6,n13)),sum(n12,pred(sum(n6,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[3481,3725,theory(equality)]) ).

cnf(3733,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3732,539,theory(equality)]),680,theory(equality)]),540,theory(equality)]),681,theory(equality)]),409,theory(equality)]),292,theory(equality)]) ).

cnf(3734,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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[3733,229,theory(equality)]) ).

cnf(3740,plain,
    ( sum(pred(sum(n5,n13)),sum(n12,pred(sum(n5,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[3481,3734,theory(equality)]) ).

cnf(3741,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3740,560,theory(equality)]),681,theory(equality)]),561,theory(equality)]),682,theory(equality)]),410,theory(equality)]),314,theory(equality)]) ).

cnf(3742,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[3741,231,theory(equality)]) ).

cnf(3747,plain,
    ( sum(pred(sum(n4,n13)),sum(n12,pred(sum(n4,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[3481,3742,theory(equality)]) ).

cnf(3748,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3747,581,theory(equality)]),682,theory(equality)]),582,theory(equality)]),683,theory(equality)]),411,theory(equality)]),336,theory(equality)]) ).

cnf(3749,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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[3748,233,theory(equality)]) ).

cnf(3753,plain,
    ( sum(pred(sum(n3,n13)),sum(n12,pred(sum(n3,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[3481,3749,theory(equality)]) ).

cnf(3754,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3753,602,theory(equality)]),683,theory(equality)]),603,theory(equality)]),684,theory(equality)]),412,theory(equality)]),358,theory(equality)]) ).

cnf(3755,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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[3754,214,theory(equality)]) ).

cnf(3758,plain,
    ( sum(pred(sum(n2,n13)),sum(n12,pred(sum(n2,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[3481,3755,theory(equality)]) ).

cnf(3759,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3758,623,theory(equality)]),684,theory(equality)]),624,theory(equality)]),685,theory(equality)]),413,theory(equality)]),380,theory(equality)]) ).

cnf(3760,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
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[3759,216,theory(equality)]) ).

cnf(3762,plain,
    ( sum(pred(sum(n1,n13)),sum(n12,pred(sum(n1,n12)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(spm,[status(thm)],[3481,3760,theory(equality)]) ).

cnf(3763,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3762,644,theory(equality)]),685,theory(equality)]),645,theory(equality)]),686,theory(equality)]),414,theory(equality)]),402,theory(equality)]) ).

cnf(3764,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 ),
    inference(sr,[status(thm)],[3763,218,theory(equality)]) ).

cnf(3775,plain,
    ( sum(pred(sum(esk1_0,succ(n11))),sum(n11,pred(sum(esk1_0,n11)))) = esk3_0
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(spm,[status(thm)],[235,3764,theory(equality)]) ).

cnf(3776,plain,
    ( sum(pred(sum(n0,succ(n11))),sum(n11,pred(sum(n0,n11)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[741,3764,theory(equality)]) ).

cnf(3777,plain,
    ( sum(pred(sum(esk1_0,n12)),sum(n11,pred(sum(esk1_0,n11)))) = esk3_0
    | esk2_0 = n10
    | esk2_0 = n9
    | 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(rw,[status(thm)],[3775,709,theory(equality)]) ).

cnf(3778,plain,
    ( n11 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(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)],[3776,709,theory(equality)]),666,theory(equality)]),687,theory(equality)]),667,theory(equality)]),688,theory(equality)]),437,theory(equality)]),447,theory(equality)]) ).

cnf(3779,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[3778,223,theory(equality)]) ).

cnf(3803,plain,
    ( sum(pred(sum(n20,n12)),sum(n11,pred(sum(n20,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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(spm,[status(thm)],[3777,3779,theory(equality)]) ).

cnf(3804,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3803,246,theory(equality)]),688,theory(equality)]),247,theory(equality)]),689,theory(equality)]),438,theory(equality)]),448,theory(equality)]) ).

cnf(3805,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
    | 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(sr,[status(thm)],[3804,225,theory(equality)]) ).

cnf(3825,plain,
    ( sum(pred(sum(n19,n12)),sum(n11,pred(sum(n19,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[3777,3805,theory(equality)]) ).

cnf(3826,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3825,267,theory(equality)]),689,theory(equality)]),268,theory(equality)]),690,theory(equality)]),439,theory(equality)]),470,theory(equality)]) ).

cnf(3827,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[3826,227,theory(equality)]) ).

cnf(3847,plain,
    ( sum(pred(sum(n18,n12)),sum(n11,pred(sum(n18,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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(spm,[status(thm)],[3777,3827,theory(equality)]) ).

cnf(3848,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3847,288,theory(equality)]),690,theory(equality)]),289,theory(equality)]),691,theory(equality)]),440,theory(equality)]),492,theory(equality)]) ).

cnf(3849,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
    | 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(sr,[status(thm)],[3848,229,theory(equality)]) ).

cnf(3867,plain,
    ( sum(pred(sum(n17,n12)),sum(n11,pred(sum(n17,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[3777,3849,theory(equality)]) ).

cnf(3868,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3867,309,theory(equality)]),691,theory(equality)]),310,theory(equality)]),692,theory(equality)]),441,theory(equality)]),514,theory(equality)]) ).

cnf(3869,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[3868,231,theory(equality)]) ).

cnf(3886,plain,
    ( sum(pred(sum(n16,n12)),sum(n11,pred(sum(n16,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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(spm,[status(thm)],[3777,3869,theory(equality)]) ).

cnf(3887,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3886,330,theory(equality)]),692,theory(equality)]),331,theory(equality)]),693,theory(equality)]),442,theory(equality)]),536,theory(equality)]) ).

cnf(3888,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
    | 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(sr,[status(thm)],[3887,233,theory(equality)]) ).

cnf(3904,plain,
    ( sum(pred(sum(n15,n12)),sum(n11,pred(sum(n15,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[3777,3888,theory(equality)]) ).

cnf(3905,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3904,351,theory(equality)]),693,theory(equality)]),352,theory(equality)]),694,theory(equality)]),443,theory(equality)]),558,theory(equality)]) ).

cnf(3906,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[3905,214,theory(equality)]) ).

cnf(3921,plain,
    ( sum(pred(sum(n14,n12)),sum(n11,pred(sum(n14,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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(spm,[status(thm)],[3777,3906,theory(equality)]) ).

cnf(3922,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3921,372,theory(equality)]),694,theory(equality)]),373,theory(equality)]),695,theory(equality)]),444,theory(equality)]),580,theory(equality)]) ).

cnf(3923,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
    | 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(sr,[status(thm)],[3922,216,theory(equality)]) ).

cnf(3937,plain,
    ( sum(pred(sum(n13,n12)),sum(n11,pred(sum(n13,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[3777,3923,theory(equality)]) ).

cnf(3938,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3937,393,theory(equality)]),695,theory(equality)]),394,theory(equality)]),696,theory(equality)]),445,theory(equality)]),602,theory(equality)]) ).

cnf(3939,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[3938,218,theory(equality)]) ).

cnf(3952,plain,
    ( sum(pred(sum(n12,n12)),sum(n11,pred(sum(n12,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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(spm,[status(thm)],[3777,3939,theory(equality)]) ).

cnf(3953,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3952,414,theory(equality)]),696,theory(equality)]),415,theory(equality)]),697,theory(equality)]),446,theory(equality)]),624,theory(equality)]) ).

cnf(3954,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
    | 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(sr,[status(thm)],[3953,220,theory(equality)]) ).

cnf(3966,plain,
    ( sum(pred(sum(n11,n12)),sum(n11,pred(sum(n11,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[3777,3954,theory(equality)]) ).

cnf(3967,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3966,435,theory(equality)]),697,theory(equality)]),436,theory(equality)]),698,theory(equality)]),447,theory(equality)]),646,theory(equality)]) ).

cnf(3968,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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[3967,222,theory(equality)]) ).

cnf(3979,plain,
    ( sum(pred(sum(n10,n12)),sum(n11,pred(sum(n10,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_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(spm,[status(thm)],[3777,3968,theory(equality)]) ).

cnf(3980,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3979,456,theory(equality)]),698,theory(equality)]),457,theory(equality)]),699,theory(equality)]),427,theory(equality)]),668,theory(equality)]) ).

cnf(3981,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
    | 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(sr,[status(thm)],[3980,224,theory(equality)]) ).

cnf(3991,plain,
    ( sum(pred(sum(n9,n12)),sum(n11,pred(sum(n9,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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(spm,[status(thm)],[3777,3981,theory(equality)]) ).

cnf(3992,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3991,477,theory(equality)]),699,theory(equality)]),478,theory(equality)]),679,theory(equality)]),428,theory(equality)]),249,theory(equality)]) ).

cnf(3993,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
    | 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(sr,[status(thm)],[3992,226,theory(equality)]) ).

cnf(4002,plain,
    ( sum(pred(sum(n8,n12)),sum(n11,pred(sum(n8,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[3777,3993,theory(equality)]) ).

cnf(4003,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4002,498,theory(equality)]),679,theory(equality)]),499,theory(equality)]),680,theory(equality)]),429,theory(equality)]),271,theory(equality)]) ).

cnf(4004,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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4003,228,theory(equality)]) ).

cnf(4012,plain,
    ( sum(pred(sum(n7,n12)),sum(n11,pred(sum(n7,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[3777,4004,theory(equality)]) ).

cnf(4013,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4012,519,theory(equality)]),680,theory(equality)]),520,theory(equality)]),681,theory(equality)]),430,theory(equality)]),293,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[4013,230,theory(equality)]) ).

cnf(4021,plain,
    ( sum(pred(sum(n6,n12)),sum(n11,pred(sum(n6,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[3777,4014,theory(equality)]) ).

cnf(4022,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4021,540,theory(equality)]),681,theory(equality)]),541,theory(equality)]),682,theory(equality)]),431,theory(equality)]),315,theory(equality)]) ).

cnf(4023,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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4022,232,theory(equality)]) ).

cnf(4029,plain,
    ( sum(pred(sum(n5,n12)),sum(n11,pred(sum(n5,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[3777,4023,theory(equality)]) ).

cnf(4030,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4029,561,theory(equality)]),682,theory(equality)]),562,theory(equality)]),683,theory(equality)]),432,theory(equality)]),337,theory(equality)]) ).

cnf(4031,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[4030,234,theory(equality)]) ).

cnf(4036,plain,
    ( sum(pred(sum(n4,n12)),sum(n11,pred(sum(n4,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[3777,4031,theory(equality)]) ).

cnf(4037,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4036,582,theory(equality)]),683,theory(equality)]),583,theory(equality)]),684,theory(equality)]),433,theory(equality)]),359,theory(equality)]) ).

cnf(4038,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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4037,215,theory(equality)]) ).

cnf(4042,plain,
    ( sum(pred(sum(n3,n12)),sum(n11,pred(sum(n3,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[3777,4038,theory(equality)]) ).

cnf(4043,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4042,603,theory(equality)]),684,theory(equality)]),604,theory(equality)]),685,theory(equality)]),434,theory(equality)]),381,theory(equality)]) ).

cnf(4044,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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[4043,217,theory(equality)]) ).

cnf(4047,plain,
    ( sum(pred(sum(n2,n12)),sum(n11,pred(sum(n2,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[3777,4044,theory(equality)]) ).

cnf(4048,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4047,624,theory(equality)]),685,theory(equality)]),625,theory(equality)]),686,theory(equality)]),435,theory(equality)]),403,theory(equality)]) ).

cnf(4049,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
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4048,219,theory(equality)]) ).

cnf(4051,plain,
    ( sum(pred(sum(n1,n12)),sum(n11,pred(sum(n1,n11)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(spm,[status(thm)],[3777,4049,theory(equality)]) ).

cnf(4052,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4051,645,theory(equality)]),686,theory(equality)]),646,theory(equality)]),687,theory(equality)]),436,theory(equality)]),425,theory(equality)]) ).

cnf(4053,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(sr,[status(thm)],[4052,221,theory(equality)]) ).

cnf(4063,plain,
    ( sum(pred(sum(esk1_0,succ(n10))),sum(n10,pred(sum(esk1_0,n10)))) = esk3_0
    | esk2_0 = n9
    | 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(spm,[status(thm)],[235,4053,theory(equality)]) ).

cnf(4064,plain,
    ( sum(pred(sum(n0,succ(n10))),sum(n10,pred(sum(n0,n10)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n9
    | 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(spm,[status(thm)],[741,4053,theory(equality)]) ).

cnf(4065,plain,
    ( sum(pred(sum(esk1_0,n11)),sum(n10,pred(sum(esk1_0,n10)))) = esk3_0
    | esk2_0 = n9
    | 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(rw,[status(thm)],[4063,710,theory(equality)]) ).

cnf(4066,plain,
    ( n8 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n9
    | 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(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)],[4064,710,theory(equality)]),667,theory(equality)]),688,theory(equality)]),668,theory(equality)]),689,theory(equality)]),459,theory(equality)]),449,theory(equality)]) ).

cnf(4067,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n9
    | 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(sr,[status(thm)],[4066,226,theory(equality)]) ).

cnf(4091,plain,
    ( sum(pred(sum(n20,n11)),sum(n10,pred(sum(n20,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | 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(spm,[status(thm)],[4065,4067,theory(equality)]) ).

cnf(4092,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4091,247,theory(equality)]),689,theory(equality)]),248,theory(equality)]),690,theory(equality)]),460,theory(equality)]),471,theory(equality)]) ).

cnf(4093,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
    | 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(sr,[status(thm)],[4092,228,theory(equality)]) ).

cnf(4113,plain,
    ( sum(pred(sum(n19,n11)),sum(n10,pred(sum(n19,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[4065,4093,theory(equality)]) ).

cnf(4114,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4113,268,theory(equality)]),690,theory(equality)]),269,theory(equality)]),691,theory(equality)]),461,theory(equality)]),493,theory(equality)]) ).

cnf(4115,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[4114,230,theory(equality)]) ).

cnf(4134,plain,
    ( sum(pred(sum(n18,n11)),sum(n10,pred(sum(n18,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | 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(spm,[status(thm)],[4065,4115,theory(equality)]) ).

cnf(4135,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4134,289,theory(equality)]),691,theory(equality)]),290,theory(equality)]),692,theory(equality)]),462,theory(equality)]),515,theory(equality)]) ).

cnf(4136,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
    | 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(sr,[status(thm)],[4135,232,theory(equality)]) ).

cnf(4154,plain,
    ( sum(pred(sum(n17,n11)),sum(n10,pred(sum(n17,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[4065,4136,theory(equality)]) ).

cnf(4155,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4154,310,theory(equality)]),692,theory(equality)]),311,theory(equality)]),693,theory(equality)]),463,theory(equality)]),537,theory(equality)]) ).

cnf(4156,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[4155,234,theory(equality)]) ).

cnf(4176,plain,
    ( sum(pred(sum(n16,n11)),sum(n10,pred(sum(n16,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | 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(spm,[status(thm)],[4065,4156,theory(equality)]) ).

cnf(4177,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4176,331,theory(equality)]),693,theory(equality)]),332,theory(equality)]),694,theory(equality)]),464,theory(equality)]),559,theory(equality)]) ).

cnf(4178,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
    | 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(sr,[status(thm)],[4177,215,theory(equality)]) ).

cnf(4194,plain,
    ( sum(pred(sum(n15,n11)),sum(n10,pred(sum(n15,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[4065,4178,theory(equality)]) ).

cnf(4195,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4194,352,theory(equality)]),694,theory(equality)]),353,theory(equality)]),695,theory(equality)]),465,theory(equality)]),581,theory(equality)]) ).

cnf(4196,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[4195,217,theory(equality)]) ).

cnf(4211,plain,
    ( sum(pred(sum(n14,n11)),sum(n10,pred(sum(n14,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | 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(spm,[status(thm)],[4065,4196,theory(equality)]) ).

cnf(4212,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4211,373,theory(equality)]),695,theory(equality)]),374,theory(equality)]),696,theory(equality)]),466,theory(equality)]),603,theory(equality)]) ).

cnf(4213,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
    | 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(sr,[status(thm)],[4212,219,theory(equality)]) ).

cnf(4227,plain,
    ( sum(pred(sum(n13,n11)),sum(n10,pred(sum(n13,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[4065,4213,theory(equality)]) ).

cnf(4228,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4227,394,theory(equality)]),696,theory(equality)]),395,theory(equality)]),697,theory(equality)]),467,theory(equality)]),625,theory(equality)]) ).

cnf(4229,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[4228,221,theory(equality)]) ).

cnf(4242,plain,
    ( sum(pred(sum(n12,n11)),sum(n10,pred(sum(n12,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | 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(spm,[status(thm)],[4065,4229,theory(equality)]) ).

cnf(4243,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4242,415,theory(equality)]),697,theory(equality)]),416,theory(equality)]),698,theory(equality)]),468,theory(equality)]),647,theory(equality)]) ).

cnf(4244,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
    | 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(sr,[status(thm)],[4243,223,theory(equality)]) ).

cnf(4256,plain,
    ( sum(pred(sum(n11,n11)),sum(n10,pred(sum(n11,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[4065,4244,theory(equality)]) ).

cnf(4257,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4256,436,theory(equality)]),698,theory(equality)]),437,theory(equality)]),699,theory(equality)]),448,theory(equality)]),669,theory(equality)]) ).

cnf(4258,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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[4257,225,theory(equality)]) ).

cnf(4269,plain,
    ( sum(pred(sum(n10,n11)),sum(n10,pred(sum(n10,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | 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(spm,[status(thm)],[4065,4258,theory(equality)]) ).

cnf(4270,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4269,457,theory(equality)]),699,theory(equality)]),458,theory(equality)]),679,theory(equality)]),449,theory(equality)]),250,theory(equality)]) ).

cnf(4271,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
    | 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(sr,[status(thm)],[4270,227,theory(equality)]) ).

cnf(4281,plain,
    ( sum(pred(sum(n9,n11)),sum(n10,pred(sum(n9,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | 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(spm,[status(thm)],[4065,4271,theory(equality)]) ).

cnf(4282,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4281,478,theory(equality)]),679,theory(equality)]),479,theory(equality)]),680,theory(equality)]),450,theory(equality)]),272,theory(equality)]) ).

cnf(4283,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
    | 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(sr,[status(thm)],[4282,229,theory(equality)]) ).

cnf(4292,plain,
    ( sum(pred(sum(n8,n11)),sum(n10,pred(sum(n8,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4065,4283,theory(equality)]) ).

cnf(4293,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4292,499,theory(equality)]),680,theory(equality)]),500,theory(equality)]),681,theory(equality)]),451,theory(equality)]),294,theory(equality)]) ).

cnf(4294,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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4293,231,theory(equality)]) ).

cnf(4302,plain,
    ( sum(pred(sum(n7,n11)),sum(n10,pred(sum(n7,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[4065,4294,theory(equality)]) ).

cnf(4303,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4302,520,theory(equality)]),681,theory(equality)]),521,theory(equality)]),682,theory(equality)]),452,theory(equality)]),316,theory(equality)]) ).

cnf(4304,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[4303,233,theory(equality)]) ).

cnf(4311,plain,
    ( sum(pred(sum(n6,n11)),sum(n10,pred(sum(n6,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4065,4304,theory(equality)]) ).

cnf(4312,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4311,541,theory(equality)]),682,theory(equality)]),542,theory(equality)]),683,theory(equality)]),453,theory(equality)]),338,theory(equality)]) ).

cnf(4313,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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4312,214,theory(equality)]) ).

cnf(4319,plain,
    ( sum(pred(sum(n5,n11)),sum(n10,pred(sum(n5,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[4065,4313,theory(equality)]) ).

cnf(4320,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4319,562,theory(equality)]),683,theory(equality)]),563,theory(equality)]),684,theory(equality)]),454,theory(equality)]),360,theory(equality)]) ).

cnf(4321,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[4320,216,theory(equality)]) ).

cnf(4326,plain,
    ( sum(pred(sum(n4,n11)),sum(n10,pred(sum(n4,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4065,4321,theory(equality)]) ).

cnf(4327,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4326,583,theory(equality)]),684,theory(equality)]),584,theory(equality)]),685,theory(equality)]),455,theory(equality)]),382,theory(equality)]) ).

cnf(4328,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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4327,218,theory(equality)]) ).

cnf(4332,plain,
    ( sum(pred(sum(n3,n11)),sum(n10,pred(sum(n3,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[4065,4328,theory(equality)]) ).

cnf(4333,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4332,604,theory(equality)]),685,theory(equality)]),605,theory(equality)]),686,theory(equality)]),456,theory(equality)]),404,theory(equality)]) ).

cnf(4334,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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[4333,220,theory(equality)]) ).

cnf(4337,plain,
    ( sum(pred(sum(n2,n11)),sum(n10,pred(sum(n2,n10)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4065,4334,theory(equality)]) ).

cnf(4338,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4337,625,theory(equality)]),686,theory(equality)]),626,theory(equality)]),687,theory(equality)]),457,theory(equality)]),426,theory(equality)]) ).

cnf(4339,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
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4338,222,theory(equality)]) ).

cnf(4341,plain,
    ( sum(pred(sum(n1,n11)),sum(n10,pred(sum(n1,n10)))) = esk3_0
    | esk2_0 = n1
    | 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(spm,[status(thm)],[4065,4339,theory(equality)]) ).

cnf(4342,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4341,646,theory(equality)]),687,theory(equality)]),647,theory(equality)]),688,theory(equality)]),458,theory(equality)]),427,theory(equality)]) ).

cnf(4343,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 ),
    inference(sr,[status(thm)],[4342,224,theory(equality)]) ).

cnf(4364,plain,
    ( sum(pred(sum(esk1_0,succ(n9))),sum(n9,pred(sum(esk1_0,n9)))) = esk3_0
    | 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(spm,[status(thm)],[235,4343,theory(equality)]) ).

cnf(4365,plain,
    ( sum(pred(sum(n0,succ(n9))),sum(n9,pred(sum(n0,n9)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[741,4343,theory(equality)]) ).

cnf(4366,plain,
    ( sum(pred(sum(esk1_0,n10)),sum(n9,pred(sum(esk1_0,n9)))) = esk3_0
    | 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(rw,[status(thm)],[4364,711,theory(equality)]) ).

cnf(4367,plain,
    ( n5 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(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)],[4365,711,theory(equality)]),668,theory(equality)]),689,theory(equality)]),669,theory(equality)]),690,theory(equality)]),481,theory(equality)]),472,theory(equality)]) ).

cnf(4368,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[4367,229,theory(equality)]) ).

cnf(4392,plain,
    ( sum(pred(sum(n20,n10)),sum(n9,pred(sum(n20,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | 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(spm,[status(thm)],[4366,4368,theory(equality)]) ).

cnf(4393,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4392,248,theory(equality)]),690,theory(equality)]),249,theory(equality)]),691,theory(equality)]),482,theory(equality)]),494,theory(equality)]) ).

cnf(4394,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
    | 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(sr,[status(thm)],[4393,231,theory(equality)]) ).

cnf(4414,plain,
    ( sum(pred(sum(n19,n10)),sum(n9,pred(sum(n19,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[4366,4394,theory(equality)]) ).

cnf(4415,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4414,269,theory(equality)]),691,theory(equality)]),270,theory(equality)]),692,theory(equality)]),483,theory(equality)]),516,theory(equality)]) ).

cnf(4416,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[4415,233,theory(equality)]) ).

cnf(4435,plain,
    ( sum(pred(sum(n18,n10)),sum(n9,pred(sum(n18,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | 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(spm,[status(thm)],[4366,4416,theory(equality)]) ).

cnf(4436,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4435,290,theory(equality)]),692,theory(equality)]),291,theory(equality)]),693,theory(equality)]),484,theory(equality)]),538,theory(equality)]) ).

cnf(4437,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
    | 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(sr,[status(thm)],[4436,214,theory(equality)]) ).

cnf(4455,plain,
    ( sum(pred(sum(n17,n10)),sum(n9,pred(sum(n17,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[4366,4437,theory(equality)]) ).

cnf(4456,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4455,311,theory(equality)]),693,theory(equality)]),312,theory(equality)]),694,theory(equality)]),485,theory(equality)]),560,theory(equality)]) ).

cnf(4457,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[4456,216,theory(equality)]) ).

cnf(4474,plain,
    ( sum(pred(sum(n16,n10)),sum(n9,pred(sum(n16,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | 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(spm,[status(thm)],[4366,4457,theory(equality)]) ).

cnf(4475,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4474,332,theory(equality)]),694,theory(equality)]),333,theory(equality)]),695,theory(equality)]),486,theory(equality)]),582,theory(equality)]) ).

cnf(4476,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
    | 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(sr,[status(thm)],[4475,218,theory(equality)]) ).

cnf(4492,plain,
    ( sum(pred(sum(n15,n10)),sum(n9,pred(sum(n15,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[4366,4476,theory(equality)]) ).

cnf(4493,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4492,353,theory(equality)]),695,theory(equality)]),354,theory(equality)]),696,theory(equality)]),487,theory(equality)]),604,theory(equality)]) ).

cnf(4494,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[4493,220,theory(equality)]) ).

cnf(4509,plain,
    ( sum(pred(sum(n14,n10)),sum(n9,pred(sum(n14,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | 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(spm,[status(thm)],[4366,4494,theory(equality)]) ).

cnf(4510,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4509,374,theory(equality)]),696,theory(equality)]),375,theory(equality)]),697,theory(equality)]),488,theory(equality)]),626,theory(equality)]) ).

cnf(4511,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
    | 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(sr,[status(thm)],[4510,222,theory(equality)]) ).

cnf(4531,plain,
    ( sum(pred(sum(n13,n10)),sum(n9,pred(sum(n13,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[4366,4511,theory(equality)]) ).

cnf(4532,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4531,395,theory(equality)]),697,theory(equality)]),396,theory(equality)]),698,theory(equality)]),489,theory(equality)]),648,theory(equality)]) ).

cnf(4533,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[4532,224,theory(equality)]) ).

cnf(4546,plain,
    ( sum(pred(sum(n12,n10)),sum(n9,pred(sum(n12,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | 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(spm,[status(thm)],[4366,4533,theory(equality)]) ).

cnf(4547,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4546,416,theory(equality)]),698,theory(equality)]),417,theory(equality)]),699,theory(equality)]),469,theory(equality)]),670,theory(equality)]) ).

cnf(4548,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
    | 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(sr,[status(thm)],[4547,226,theory(equality)]) ).

cnf(4560,plain,
    ( sum(pred(sum(n11,n10)),sum(n9,pred(sum(n11,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[4366,4548,theory(equality)]) ).

cnf(4561,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4560,437,theory(equality)]),699,theory(equality)]),438,theory(equality)]),679,theory(equality)]),470,theory(equality)]),251,theory(equality)]) ).

cnf(4562,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
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[4561,228,theory(equality)]) ).

cnf(4573,plain,
    ( sum(pred(sum(n10,n10)),sum(n9,pred(sum(n10,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | 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(spm,[status(thm)],[4366,4562,theory(equality)]) ).

cnf(4574,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4573,458,theory(equality)]),679,theory(equality)]),459,theory(equality)]),680,theory(equality)]),471,theory(equality)]),273,theory(equality)]) ).

cnf(4575,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
    | 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(sr,[status(thm)],[4574,230,theory(equality)]) ).

cnf(4585,plain,
    ( sum(pred(sum(n9,n10)),sum(n9,pred(sum(n9,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | 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(spm,[status(thm)],[4366,4575,theory(equality)]) ).

cnf(4586,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4585,479,theory(equality)]),680,theory(equality)]),480,theory(equality)]),681,theory(equality)]),472,theory(equality)]),295,theory(equality)]) ).

cnf(4587,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
    | 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(sr,[status(thm)],[4586,232,theory(equality)]) ).

cnf(4596,plain,
    ( sum(pred(sum(n8,n10)),sum(n9,pred(sum(n8,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4366,4587,theory(equality)]) ).

cnf(4597,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4596,500,theory(equality)]),681,theory(equality)]),501,theory(equality)]),682,theory(equality)]),473,theory(equality)]),317,theory(equality)]) ).

cnf(4598,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
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4597,234,theory(equality)]) ).

cnf(4606,plain,
    ( sum(pred(sum(n7,n10)),sum(n9,pred(sum(n7,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[4366,4598,theory(equality)]) ).

cnf(4607,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4606,521,theory(equality)]),682,theory(equality)]),522,theory(equality)]),683,theory(equality)]),474,theory(equality)]),339,theory(equality)]) ).

cnf(4608,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[4607,215,theory(equality)]) ).

cnf(4615,plain,
    ( sum(pred(sum(n6,n10)),sum(n9,pred(sum(n6,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4366,4608,theory(equality)]) ).

cnf(4616,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4615,542,theory(equality)]),683,theory(equality)]),543,theory(equality)]),684,theory(equality)]),475,theory(equality)]),361,theory(equality)]) ).

cnf(4617,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
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4616,217,theory(equality)]) ).

cnf(4623,plain,
    ( sum(pred(sum(n5,n10)),sum(n9,pred(sum(n5,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[4366,4617,theory(equality)]) ).

cnf(4624,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4623,563,theory(equality)]),684,theory(equality)]),564,theory(equality)]),685,theory(equality)]),476,theory(equality)]),383,theory(equality)]) ).

cnf(4625,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[4624,219,theory(equality)]) ).

cnf(4630,plain,
    ( sum(pred(sum(n4,n10)),sum(n9,pred(sum(n4,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4366,4625,theory(equality)]) ).

cnf(4631,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4630,584,theory(equality)]),685,theory(equality)]),585,theory(equality)]),686,theory(equality)]),477,theory(equality)]),405,theory(equality)]) ).

cnf(4632,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
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4631,221,theory(equality)]) ).

cnf(4636,plain,
    ( sum(pred(sum(n3,n10)),sum(n9,pred(sum(n3,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[4366,4632,theory(equality)]) ).

cnf(4637,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4636,605,theory(equality)]),686,theory(equality)]),606,theory(equality)]),687,theory(equality)]),478,theory(equality)]),406,theory(equality)]) ).

cnf(4638,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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[4637,223,theory(equality)]) ).

cnf(4641,plain,
    ( sum(pred(sum(n2,n10)),sum(n9,pred(sum(n2,n9)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4366,4638,theory(equality)]) ).

cnf(4642,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4641,626,theory(equality)]),687,theory(equality)]),627,theory(equality)]),688,theory(equality)]),479,theory(equality)]),428,theory(equality)]) ).

cnf(4643,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
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4642,225,theory(equality)]) ).

cnf(4645,plain,
    ( sum(pred(sum(n1,n10)),sum(n9,pred(sum(n1,n9)))) = esk3_0
    | 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(spm,[status(thm)],[4366,4643,theory(equality)]) ).

cnf(4646,plain,
    ( n7 = esk3_0
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4645,647,theory(equality)]),688,theory(equality)]),648,theory(equality)]),689,theory(equality)]),480,theory(equality)]),450,theory(equality)]) ).

cnf(4647,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(sr,[status(thm)],[4646,227,theory(equality)]) ).

cnf(4655,plain,
    ( sum(pred(sum(esk1_0,succ(n8))),sum(n8,pred(sum(esk1_0,n8)))) = esk3_0
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(spm,[status(thm)],[235,4647,theory(equality)]) ).

cnf(4656,plain,
    ( sum(pred(sum(n0,succ(n8))),sum(n8,pred(sum(n0,n8)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(spm,[status(thm)],[741,4647,theory(equality)]) ).

cnf(4657,plain,
    ( sum(pred(sum(esk1_0,n9)),sum(n8,pred(sum(esk1_0,n8)))) = esk3_0
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[4655,712,theory(equality)]) ).

cnf(4658,plain,
    ( n2 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    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)],[4656,712,theory(equality)]),669,theory(equality)]),690,theory(equality)]),670,theory(equality)]),691,theory(equality)]),503,theory(equality)]),495,theory(equality)]) ).

cnf(4659,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[4658,232,theory(equality)]) ).

cnf(4683,plain,
    ( sum(pred(sum(n20,n9)),sum(n8,pred(sum(n20,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(spm,[status(thm)],[4657,4659,theory(equality)]) ).

cnf(4684,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4683,249,theory(equality)]),691,theory(equality)]),250,theory(equality)]),692,theory(equality)]),504,theory(equality)]),517,theory(equality)]) ).

cnf(4685,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(sr,[status(thm)],[4684,234,theory(equality)]) ).

cnf(4705,plain,
    ( sum(pred(sum(n19,n9)),sum(n8,pred(sum(n19,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[4657,4685,theory(equality)]) ).

cnf(4706,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4705,270,theory(equality)]),692,theory(equality)]),271,theory(equality)]),693,theory(equality)]),505,theory(equality)]),539,theory(equality)]) ).

cnf(4707,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[4706,215,theory(equality)]) ).

cnf(4726,plain,
    ( sum(pred(sum(n18,n9)),sum(n8,pred(sum(n18,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(spm,[status(thm)],[4657,4707,theory(equality)]) ).

cnf(4727,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4726,291,theory(equality)]),693,theory(equality)]),292,theory(equality)]),694,theory(equality)]),506,theory(equality)]),561,theory(equality)]) ).

cnf(4728,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(sr,[status(thm)],[4727,217,theory(equality)]) ).

cnf(4748,plain,
    ( sum(pred(sum(n17,n9)),sum(n8,pred(sum(n17,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[4657,4728,theory(equality)]) ).

cnf(4749,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4748,312,theory(equality)]),694,theory(equality)]),313,theory(equality)]),695,theory(equality)]),507,theory(equality)]),583,theory(equality)]) ).

cnf(4750,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[4749,219,theory(equality)]) ).

cnf(4767,plain,
    ( sum(pred(sum(n16,n9)),sum(n8,pred(sum(n16,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(spm,[status(thm)],[4657,4750,theory(equality)]) ).

cnf(4768,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4767,333,theory(equality)]),695,theory(equality)]),334,theory(equality)]),696,theory(equality)]),508,theory(equality)]),605,theory(equality)]) ).

cnf(4769,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(sr,[status(thm)],[4768,221,theory(equality)]) ).

cnf(4785,plain,
    ( sum(pred(sum(n15,n9)),sum(n8,pred(sum(n15,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[4657,4769,theory(equality)]) ).

cnf(4786,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4785,354,theory(equality)]),696,theory(equality)]),355,theory(equality)]),697,theory(equality)]),509,theory(equality)]),627,theory(equality)]) ).

cnf(4787,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[4786,223,theory(equality)]) ).

cnf(4802,plain,
    ( sum(pred(sum(n14,n9)),sum(n8,pred(sum(n14,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(spm,[status(thm)],[4657,4787,theory(equality)]) ).

cnf(4803,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4802,375,theory(equality)]),697,theory(equality)]),376,theory(equality)]),698,theory(equality)]),510,theory(equality)]),649,theory(equality)]) ).

cnf(4804,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(sr,[status(thm)],[4803,225,theory(equality)]) ).

cnf(4818,plain,
    ( sum(pred(sum(n13,n9)),sum(n8,pred(sum(n13,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[4657,4804,theory(equality)]) ).

cnf(4819,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4818,396,theory(equality)]),698,theory(equality)]),397,theory(equality)]),699,theory(equality)]),490,theory(equality)]),671,theory(equality)]) ).

cnf(4820,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[4819,227,theory(equality)]) ).

cnf(4833,plain,
    ( sum(pred(sum(n12,n9)),sum(n8,pred(sum(n12,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(spm,[status(thm)],[4657,4820,theory(equality)]) ).

cnf(4834,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4833,417,theory(equality)]),699,theory(equality)]),418,theory(equality)]),679,theory(equality)]),491,theory(equality)]),252,theory(equality)]) ).

cnf(4835,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(sr,[status(thm)],[4834,229,theory(equality)]) ).

cnf(4847,plain,
    ( sum(pred(sum(n11,n9)),sum(n8,pred(sum(n11,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[4657,4835,theory(equality)]) ).

cnf(4848,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4847,438,theory(equality)]),679,theory(equality)]),439,theory(equality)]),680,theory(equality)]),492,theory(equality)]),274,theory(equality)]) ).

cnf(4849,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[4848,231,theory(equality)]) ).

cnf(4860,plain,
    ( sum(pred(sum(n10,n9)),sum(n8,pred(sum(n10,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(spm,[status(thm)],[4657,4849,theory(equality)]) ).

cnf(4861,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4860,459,theory(equality)]),680,theory(equality)]),460,theory(equality)]),681,theory(equality)]),493,theory(equality)]),296,theory(equality)]) ).

cnf(4862,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(sr,[status(thm)],[4861,233,theory(equality)]) ).

cnf(4872,plain,
    ( sum(pred(sum(n9,n9)),sum(n8,pred(sum(n9,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(spm,[status(thm)],[4657,4862,theory(equality)]) ).

cnf(4873,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4872,480,theory(equality)]),681,theory(equality)]),481,theory(equality)]),682,theory(equality)]),494,theory(equality)]),318,theory(equality)]) ).

cnf(4874,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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(sr,[status(thm)],[4873,214,theory(equality)]) ).

cnf(4883,plain,
    ( sum(pred(sum(n8,n9)),sum(n8,pred(sum(n8,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4657,4874,theory(equality)]) ).

cnf(4884,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4883,501,theory(equality)]),682,theory(equality)]),502,theory(equality)]),683,theory(equality)]),495,theory(equality)]),340,theory(equality)]) ).

cnf(4885,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4884,216,theory(equality)]) ).

cnf(4893,plain,
    ( sum(pred(sum(n7,n9)),sum(n8,pred(sum(n7,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[4657,4885,theory(equality)]) ).

cnf(4894,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4893,522,theory(equality)]),683,theory(equality)]),523,theory(equality)]),684,theory(equality)]),496,theory(equality)]),362,theory(equality)]) ).

cnf(4895,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[4894,218,theory(equality)]) ).

cnf(4902,plain,
    ( sum(pred(sum(n6,n9)),sum(n8,pred(sum(n6,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4657,4895,theory(equality)]) ).

cnf(4903,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4902,543,theory(equality)]),684,theory(equality)]),544,theory(equality)]),685,theory(equality)]),497,theory(equality)]),384,theory(equality)]) ).

cnf(4904,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4903,220,theory(equality)]) ).

cnf(4910,plain,
    ( sum(pred(sum(n5,n9)),sum(n8,pred(sum(n5,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[4657,4904,theory(equality)]) ).

cnf(4911,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4910,564,theory(equality)]),685,theory(equality)]),565,theory(equality)]),686,theory(equality)]),498,theory(equality)]),385,theory(equality)]) ).

cnf(4912,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[4911,222,theory(equality)]) ).

cnf(4917,plain,
    ( sum(pred(sum(n4,n9)),sum(n8,pred(sum(n4,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4657,4912,theory(equality)]) ).

cnf(4918,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4917,585,theory(equality)]),686,theory(equality)]),586,theory(equality)]),687,theory(equality)]),499,theory(equality)]),407,theory(equality)]) ).

cnf(4919,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4918,224,theory(equality)]) ).

cnf(4923,plain,
    ( sum(pred(sum(n3,n9)),sum(n8,pred(sum(n3,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[4657,4919,theory(equality)]) ).

cnf(4924,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4923,606,theory(equality)]),687,theory(equality)]),607,theory(equality)]),688,theory(equality)]),500,theory(equality)]),429,theory(equality)]) ).

cnf(4925,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[4924,226,theory(equality)]) ).

cnf(4928,plain,
    ( sum(pred(sum(n2,n9)),sum(n8,pred(sum(n2,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4657,4925,theory(equality)]) ).

cnf(4929,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4928,627,theory(equality)]),688,theory(equality)]),628,theory(equality)]),689,theory(equality)]),501,theory(equality)]),451,theory(equality)]) ).

cnf(4930,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[4929,228,theory(equality)]) ).

cnf(4932,plain,
    ( sum(pred(sum(n1,n9)),sum(n8,pred(sum(n1,n8)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(spm,[status(thm)],[4657,4930,theory(equality)]) ).

cnf(4933,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4932,648,theory(equality)]),689,theory(equality)]),649,theory(equality)]),690,theory(equality)]),502,theory(equality)]),473,theory(equality)]) ).

cnf(4934,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[4933,230,theory(equality)]) ).

cnf(4941,plain,
    ( sum(pred(sum(esk1_0,succ(n7))),sum(n7,pred(sum(esk1_0,n7)))) = esk3_0
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(spm,[status(thm)],[235,4934,theory(equality)]) ).

cnf(4942,plain,
    ( sum(pred(sum(n0,succ(n7))),sum(n7,pred(sum(n0,n7)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[741,4934,theory(equality)]) ).

cnf(4943,plain,
    ( sum(pred(sum(esk1_0,n8)),sum(n7,pred(sum(esk1_0,n7)))) = esk3_0
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[4941,713,theory(equality)]) ).

cnf(4944,plain,
    ( n20 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(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)],[4942,713,theory(equality)]),670,theory(equality)]),691,theory(equality)]),671,theory(equality)]),692,theory(equality)]),525,theory(equality)]),518,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
    | 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(sr,[status(thm)],[4944,214,theory(equality)]) ).

cnf(4969,plain,
    ( sum(pred(sum(n20,n8)),sum(n7,pred(sum(n20,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[4943,4945,theory(equality)]) ).

cnf(4970,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4969,250,theory(equality)]),692,theory(equality)]),251,theory(equality)]),693,theory(equality)]),526,theory(equality)]),540,theory(equality)]) ).

cnf(4971,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(sr,[status(thm)],[4970,216,theory(equality)]) ).

cnf(4991,plain,
    ( sum(pred(sum(n19,n8)),sum(n7,pred(sum(n19,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[4943,4971,theory(equality)]) ).

cnf(4992,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4991,271,theory(equality)]),693,theory(equality)]),272,theory(equality)]),694,theory(equality)]),527,theory(equality)]),562,theory(equality)]) ).

cnf(4993,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[4992,218,theory(equality)]) ).

cnf(5012,plain,
    ( sum(pred(sum(n18,n8)),sum(n7,pred(sum(n18,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[4943,4993,theory(equality)]) ).

cnf(5013,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5012,292,theory(equality)]),694,theory(equality)]),293,theory(equality)]),695,theory(equality)]),528,theory(equality)]),584,theory(equality)]) ).

cnf(5014,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(sr,[status(thm)],[5013,220,theory(equality)]) ).

cnf(5032,plain,
    ( sum(pred(sum(n17,n8)),sum(n7,pred(sum(n17,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[4943,5014,theory(equality)]) ).

cnf(5033,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5032,313,theory(equality)]),695,theory(equality)]),314,theory(equality)]),696,theory(equality)]),529,theory(equality)]),606,theory(equality)]) ).

cnf(5034,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[5033,222,theory(equality)]) ).

cnf(5051,plain,
    ( sum(pred(sum(n16,n8)),sum(n7,pred(sum(n16,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[4943,5034,theory(equality)]) ).

cnf(5052,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5051,334,theory(equality)]),696,theory(equality)]),335,theory(equality)]),697,theory(equality)]),530,theory(equality)]),628,theory(equality)]) ).

cnf(5053,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(sr,[status(thm)],[5052,224,theory(equality)]) ).

cnf(5069,plain,
    ( sum(pred(sum(n15,n8)),sum(n7,pred(sum(n15,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[4943,5053,theory(equality)]) ).

cnf(5070,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5069,355,theory(equality)]),697,theory(equality)]),356,theory(equality)]),698,theory(equality)]),531,theory(equality)]),650,theory(equality)]) ).

cnf(5071,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[5070,226,theory(equality)]) ).

cnf(5086,plain,
    ( sum(pred(sum(n14,n8)),sum(n7,pred(sum(n14,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[4943,5071,theory(equality)]) ).

cnf(5087,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5086,376,theory(equality)]),698,theory(equality)]),377,theory(equality)]),699,theory(equality)]),511,theory(equality)]),672,theory(equality)]) ).

cnf(5088,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(sr,[status(thm)],[5087,228,theory(equality)]) ).

cnf(5102,plain,
    ( sum(pred(sum(n13,n8)),sum(n7,pred(sum(n13,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[4943,5088,theory(equality)]) ).

cnf(5103,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5102,397,theory(equality)]),699,theory(equality)]),398,theory(equality)]),679,theory(equality)]),512,theory(equality)]),253,theory(equality)]) ).

cnf(5104,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[5103,230,theory(equality)]) ).

cnf(5124,plain,
    ( sum(pred(sum(n12,n8)),sum(n7,pred(sum(n12,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[4943,5104,theory(equality)]) ).

cnf(5125,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5124,418,theory(equality)]),679,theory(equality)]),419,theory(equality)]),680,theory(equality)]),513,theory(equality)]),275,theory(equality)]) ).

cnf(5126,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(sr,[status(thm)],[5125,232,theory(equality)]) ).

cnf(5138,plain,
    ( sum(pred(sum(n11,n8)),sum(n7,pred(sum(n11,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[4943,5126,theory(equality)]) ).

cnf(5139,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5138,439,theory(equality)]),680,theory(equality)]),440,theory(equality)]),681,theory(equality)]),514,theory(equality)]),297,theory(equality)]) ).

cnf(5140,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[5139,234,theory(equality)]) ).

cnf(5151,plain,
    ( sum(pred(sum(n10,n8)),sum(n7,pred(sum(n10,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[4943,5140,theory(equality)]) ).

cnf(5152,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5151,460,theory(equality)]),681,theory(equality)]),461,theory(equality)]),682,theory(equality)]),515,theory(equality)]),319,theory(equality)]) ).

cnf(5153,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(sr,[status(thm)],[5152,215,theory(equality)]) ).

cnf(5163,plain,
    ( sum(pred(sum(n9,n8)),sum(n7,pred(sum(n9,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(spm,[status(thm)],[4943,5153,theory(equality)]) ).

cnf(5164,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5163,481,theory(equality)]),682,theory(equality)]),482,theory(equality)]),683,theory(equality)]),516,theory(equality)]),341,theory(equality)]) ).

cnf(5165,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(sr,[status(thm)],[5164,217,theory(equality)]) ).

cnf(5174,plain,
    ( sum(pred(sum(n8,n8)),sum(n7,pred(sum(n8,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4943,5165,theory(equality)]) ).

cnf(5175,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5174,502,theory(equality)]),683,theory(equality)]),503,theory(equality)]),684,theory(equality)]),517,theory(equality)]),363,theory(equality)]) ).

cnf(5176,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[5175,219,theory(equality)]) ).

cnf(5184,plain,
    ( sum(pred(sum(n7,n8)),sum(n7,pred(sum(n7,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[4943,5176,theory(equality)]) ).

cnf(5185,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5184,523,theory(equality)]),684,theory(equality)]),524,theory(equality)]),685,theory(equality)]),518,theory(equality)]),364,theory(equality)]) ).

cnf(5186,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[5185,221,theory(equality)]) ).

cnf(5193,plain,
    ( sum(pred(sum(n6,n8)),sum(n7,pred(sum(n6,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4943,5186,theory(equality)]) ).

cnf(5194,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5193,544,theory(equality)]),685,theory(equality)]),545,theory(equality)]),686,theory(equality)]),519,theory(equality)]),386,theory(equality)]) ).

cnf(5195,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[5194,223,theory(equality)]) ).

cnf(5201,plain,
    ( sum(pred(sum(n5,n8)),sum(n7,pred(sum(n5,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[4943,5195,theory(equality)]) ).

cnf(5202,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5201,565,theory(equality)]),686,theory(equality)]),566,theory(equality)]),687,theory(equality)]),520,theory(equality)]),408,theory(equality)]) ).

cnf(5203,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[5202,225,theory(equality)]) ).

cnf(5208,plain,
    ( sum(pred(sum(n4,n8)),sum(n7,pred(sum(n4,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4943,5203,theory(equality)]) ).

cnf(5209,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5208,586,theory(equality)]),687,theory(equality)]),587,theory(equality)]),688,theory(equality)]),521,theory(equality)]),430,theory(equality)]) ).

cnf(5210,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[5209,227,theory(equality)]) ).

cnf(5214,plain,
    ( sum(pred(sum(n3,n8)),sum(n7,pred(sum(n3,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[4943,5210,theory(equality)]) ).

cnf(5215,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5214,607,theory(equality)]),688,theory(equality)]),608,theory(equality)]),689,theory(equality)]),522,theory(equality)]),452,theory(equality)]) ).

cnf(5216,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[5215,229,theory(equality)]) ).

cnf(5219,plain,
    ( sum(pred(sum(n2,n8)),sum(n7,pred(sum(n2,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[4943,5216,theory(equality)]) ).

cnf(5220,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5219,628,theory(equality)]),689,theory(equality)]),629,theory(equality)]),690,theory(equality)]),523,theory(equality)]),474,theory(equality)]) ).

cnf(5221,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[5220,231,theory(equality)]) ).

cnf(5223,plain,
    ( sum(pred(sum(n1,n8)),sum(n7,pred(sum(n1,n7)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(spm,[status(thm)],[4943,5221,theory(equality)]) ).

cnf(5224,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5223,649,theory(equality)]),690,theory(equality)]),650,theory(equality)]),691,theory(equality)]),524,theory(equality)]),496,theory(equality)]) ).

cnf(5225,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[5224,233,theory(equality)]) ).

cnf(5231,plain,
    ( sum(pred(sum(esk1_0,succ(n6))),sum(n6,pred(sum(esk1_0,n6)))) = esk3_0
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(spm,[status(thm)],[235,5225,theory(equality)]) ).

cnf(5232,plain,
    ( sum(pred(sum(n0,succ(n6))),sum(n6,pred(sum(n0,n6)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(spm,[status(thm)],[741,5225,theory(equality)]) ).

cnf(5233,plain,
    ( sum(pred(sum(esk1_0,n7)),sum(n6,pred(sum(esk1_0,n6)))) = esk3_0
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[5231,714,theory(equality)]) ).

cnf(5234,plain,
    ( n17 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    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)],[5232,714,theory(equality)]),671,theory(equality)]),692,theory(equality)]),672,theory(equality)]),693,theory(equality)]),547,theory(equality)]),541,theory(equality)]) ).

cnf(5235,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[5234,217,theory(equality)]) ).

cnf(5259,plain,
    ( sum(pred(sum(n20,n7)),sum(n6,pred(sum(n20,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(spm,[status(thm)],[5233,5235,theory(equality)]) ).

cnf(5260,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5259,251,theory(equality)]),693,theory(equality)]),252,theory(equality)]),694,theory(equality)]),548,theory(equality)]),563,theory(equality)]) ).

cnf(5261,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(sr,[status(thm)],[5260,219,theory(equality)]) ).

cnf(5281,plain,
    ( sum(pred(sum(n19,n7)),sum(n6,pred(sum(n19,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[5233,5261,theory(equality)]) ).

cnf(5282,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5281,272,theory(equality)]),694,theory(equality)]),273,theory(equality)]),695,theory(equality)]),549,theory(equality)]),585,theory(equality)]) ).

cnf(5283,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[5282,221,theory(equality)]) ).

cnf(5302,plain,
    ( sum(pred(sum(n18,n7)),sum(n6,pred(sum(n18,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(spm,[status(thm)],[5233,5283,theory(equality)]) ).

cnf(5303,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5302,293,theory(equality)]),695,theory(equality)]),294,theory(equality)]),696,theory(equality)]),550,theory(equality)]),607,theory(equality)]) ).

cnf(5304,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(sr,[status(thm)],[5303,223,theory(equality)]) ).

cnf(5322,plain,
    ( sum(pred(sum(n17,n7)),sum(n6,pred(sum(n17,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[5233,5304,theory(equality)]) ).

cnf(5323,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5322,314,theory(equality)]),696,theory(equality)]),315,theory(equality)]),697,theory(equality)]),551,theory(equality)]),629,theory(equality)]) ).

cnf(5324,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[5323,225,theory(equality)]) ).

cnf(5341,plain,
    ( sum(pred(sum(n16,n7)),sum(n6,pred(sum(n16,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(spm,[status(thm)],[5233,5324,theory(equality)]) ).

cnf(5342,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5341,335,theory(equality)]),697,theory(equality)]),336,theory(equality)]),698,theory(equality)]),552,theory(equality)]),651,theory(equality)]) ).

cnf(5343,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(sr,[status(thm)],[5342,227,theory(equality)]) ).

cnf(5359,plain,
    ( sum(pred(sum(n15,n7)),sum(n6,pred(sum(n15,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[5233,5343,theory(equality)]) ).

cnf(5360,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5359,356,theory(equality)]),698,theory(equality)]),357,theory(equality)]),699,theory(equality)]),532,theory(equality)]),673,theory(equality)]) ).

cnf(5361,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[5360,229,theory(equality)]) ).

cnf(5381,plain,
    ( sum(pred(sum(n14,n7)),sum(n6,pred(sum(n14,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(spm,[status(thm)],[5233,5361,theory(equality)]) ).

cnf(5382,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5381,377,theory(equality)]),699,theory(equality)]),378,theory(equality)]),679,theory(equality)]),533,theory(equality)]),254,theory(equality)]) ).

cnf(5383,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(sr,[status(thm)],[5382,231,theory(equality)]) ).

cnf(5397,plain,
    ( sum(pred(sum(n13,n7)),sum(n6,pred(sum(n13,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[5233,5383,theory(equality)]) ).

cnf(5398,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5397,398,theory(equality)]),679,theory(equality)]),399,theory(equality)]),680,theory(equality)]),534,theory(equality)]),276,theory(equality)]) ).

cnf(5399,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[5398,233,theory(equality)]) ).

cnf(5412,plain,
    ( sum(pred(sum(n12,n7)),sum(n6,pred(sum(n12,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(spm,[status(thm)],[5233,5399,theory(equality)]) ).

cnf(5413,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5412,419,theory(equality)]),680,theory(equality)]),420,theory(equality)]),681,theory(equality)]),535,theory(equality)]),298,theory(equality)]) ).

cnf(5414,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(sr,[status(thm)],[5413,214,theory(equality)]) ).

cnf(5426,plain,
    ( sum(pred(sum(n11,n7)),sum(n6,pred(sum(n11,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[5233,5414,theory(equality)]) ).

cnf(5427,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5426,440,theory(equality)]),681,theory(equality)]),441,theory(equality)]),682,theory(equality)]),536,theory(equality)]),320,theory(equality)]) ).

cnf(5428,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[5427,216,theory(equality)]) ).

cnf(5439,plain,
    ( sum(pred(sum(n10,n7)),sum(n6,pred(sum(n10,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(spm,[status(thm)],[5233,5428,theory(equality)]) ).

cnf(5440,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5439,461,theory(equality)]),682,theory(equality)]),462,theory(equality)]),683,theory(equality)]),537,theory(equality)]),342,theory(equality)]) ).

cnf(5441,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(sr,[status(thm)],[5440,218,theory(equality)]) ).

cnf(5451,plain,
    ( sum(pred(sum(n9,n7)),sum(n6,pred(sum(n9,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(spm,[status(thm)],[5233,5441,theory(equality)]) ).

cnf(5452,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5451,482,theory(equality)]),683,theory(equality)]),483,theory(equality)]),684,theory(equality)]),538,theory(equality)]),343,theory(equality)]) ).

cnf(5453,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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(sr,[status(thm)],[5452,220,theory(equality)]) ).

cnf(5462,plain,
    ( sum(pred(sum(n8,n7)),sum(n6,pred(sum(n8,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[5233,5453,theory(equality)]) ).

cnf(5463,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5462,503,theory(equality)]),684,theory(equality)]),504,theory(equality)]),685,theory(equality)]),539,theory(equality)]),365,theory(equality)]) ).

cnf(5464,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[5463,222,theory(equality)]) ).

cnf(5472,plain,
    ( sum(pred(sum(n7,n7)),sum(n6,pred(sum(n7,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[5233,5464,theory(equality)]) ).

cnf(5473,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5472,524,theory(equality)]),685,theory(equality)]),525,theory(equality)]),686,theory(equality)]),540,theory(equality)]),387,theory(equality)]) ).

cnf(5474,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[5473,224,theory(equality)]) ).

cnf(5481,plain,
    ( sum(pred(sum(n6,n7)),sum(n6,pred(sum(n6,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[5233,5474,theory(equality)]) ).

cnf(5482,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5481,545,theory(equality)]),686,theory(equality)]),546,theory(equality)]),687,theory(equality)]),541,theory(equality)]),409,theory(equality)]) ).

cnf(5483,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[5482,226,theory(equality)]) ).

cnf(5489,plain,
    ( sum(pred(sum(n5,n7)),sum(n6,pred(sum(n5,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[5233,5483,theory(equality)]) ).

cnf(5490,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5489,566,theory(equality)]),687,theory(equality)]),567,theory(equality)]),688,theory(equality)]),542,theory(equality)]),431,theory(equality)]) ).

cnf(5491,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[5490,228,theory(equality)]) ).

cnf(5496,plain,
    ( sum(pred(sum(n4,n7)),sum(n6,pred(sum(n4,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[5233,5491,theory(equality)]) ).

cnf(5497,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5496,587,theory(equality)]),688,theory(equality)]),588,theory(equality)]),689,theory(equality)]),543,theory(equality)]),453,theory(equality)]) ).

cnf(5498,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[5497,230,theory(equality)]) ).

cnf(5502,plain,
    ( sum(pred(sum(n3,n7)),sum(n6,pred(sum(n3,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[5233,5498,theory(equality)]) ).

cnf(5503,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5502,608,theory(equality)]),689,theory(equality)]),609,theory(equality)]),690,theory(equality)]),544,theory(equality)]),475,theory(equality)]) ).

cnf(5504,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[5503,232,theory(equality)]) ).

cnf(5507,plain,
    ( sum(pred(sum(n2,n7)),sum(n6,pred(sum(n2,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[5233,5504,theory(equality)]) ).

cnf(5508,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5507,629,theory(equality)]),690,theory(equality)]),630,theory(equality)]),691,theory(equality)]),545,theory(equality)]),497,theory(equality)]) ).

cnf(5509,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[5508,234,theory(equality)]) ).

cnf(5511,plain,
    ( sum(pred(sum(n1,n7)),sum(n6,pred(sum(n1,n6)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(spm,[status(thm)],[5233,5509,theory(equality)]) ).

cnf(5512,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5511,650,theory(equality)]),691,theory(equality)]),651,theory(equality)]),692,theory(equality)]),546,theory(equality)]),519,theory(equality)]) ).

cnf(5513,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[5512,215,theory(equality)]) ).

cnf(5518,plain,
    ( sum(pred(sum(esk1_0,succ(n5))),sum(n5,pred(sum(esk1_0,n5)))) = esk3_0
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(spm,[status(thm)],[235,5513,theory(equality)]) ).

cnf(5519,plain,
    ( sum(pred(sum(n0,succ(n5))),sum(n5,pred(sum(n0,n5)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[741,5513,theory(equality)]) ).

cnf(5520,plain,
    ( sum(pred(sum(esk1_0,n6)),sum(n5,pred(sum(esk1_0,n5)))) = esk3_0
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[5518,715,theory(equality)]) ).

cnf(5521,plain,
    ( n14 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(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)],[5519,715,theory(equality)]),672,theory(equality)]),693,theory(equality)]),673,theory(equality)]),694,theory(equality)]),569,theory(equality)]),564,theory(equality)]) ).

cnf(5522,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[5521,220,theory(equality)]) ).

cnf(5546,plain,
    ( sum(pred(sum(n20,n6)),sum(n5,pred(sum(n20,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(spm,[status(thm)],[5520,5522,theory(equality)]) ).

cnf(5547,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5546,252,theory(equality)]),694,theory(equality)]),253,theory(equality)]),695,theory(equality)]),570,theory(equality)]),586,theory(equality)]) ).

cnf(5548,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(sr,[status(thm)],[5547,222,theory(equality)]) ).

cnf(5568,plain,
    ( sum(pred(sum(n19,n6)),sum(n5,pred(sum(n19,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[5520,5548,theory(equality)]) ).

cnf(5569,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5568,273,theory(equality)]),695,theory(equality)]),274,theory(equality)]),696,theory(equality)]),571,theory(equality)]),608,theory(equality)]) ).

cnf(5570,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[5569,224,theory(equality)]) ).

cnf(5589,plain,
    ( sum(pred(sum(n18,n6)),sum(n5,pred(sum(n18,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(spm,[status(thm)],[5520,5570,theory(equality)]) ).

cnf(5590,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5589,294,theory(equality)]),696,theory(equality)]),295,theory(equality)]),697,theory(equality)]),572,theory(equality)]),630,theory(equality)]) ).

cnf(5591,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(sr,[status(thm)],[5590,226,theory(equality)]) ).

cnf(5609,plain,
    ( sum(pred(sum(n17,n6)),sum(n5,pred(sum(n17,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[5520,5591,theory(equality)]) ).

cnf(5610,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5609,315,theory(equality)]),697,theory(equality)]),316,theory(equality)]),698,theory(equality)]),573,theory(equality)]),652,theory(equality)]) ).

cnf(5611,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[5610,228,theory(equality)]) ).

cnf(5628,plain,
    ( sum(pred(sum(n16,n6)),sum(n5,pred(sum(n16,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(spm,[status(thm)],[5520,5611,theory(equality)]) ).

cnf(5629,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5628,336,theory(equality)]),698,theory(equality)]),337,theory(equality)]),699,theory(equality)]),553,theory(equality)]),674,theory(equality)]) ).

cnf(5630,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(sr,[status(thm)],[5629,230,theory(equality)]) ).

cnf(5650,plain,
    ( sum(pred(sum(n15,n6)),sum(n5,pred(sum(n15,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[5520,5630,theory(equality)]) ).

cnf(5651,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5650,357,theory(equality)]),699,theory(equality)]),358,theory(equality)]),679,theory(equality)]),554,theory(equality)]),255,theory(equality)]) ).

cnf(5652,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[5651,232,theory(equality)]) ).

cnf(5667,plain,
    ( sum(pred(sum(n14,n6)),sum(n5,pred(sum(n14,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(spm,[status(thm)],[5520,5652,theory(equality)]) ).

cnf(5668,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5667,378,theory(equality)]),679,theory(equality)]),379,theory(equality)]),680,theory(equality)]),555,theory(equality)]),277,theory(equality)]) ).

cnf(5669,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(sr,[status(thm)],[5668,234,theory(equality)]) ).

cnf(5683,plain,
    ( sum(pred(sum(n13,n6)),sum(n5,pred(sum(n13,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[5520,5669,theory(equality)]) ).

cnf(5684,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5683,399,theory(equality)]),680,theory(equality)]),400,theory(equality)]),681,theory(equality)]),556,theory(equality)]),299,theory(equality)]) ).

cnf(5685,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[5684,215,theory(equality)]) ).

cnf(5698,plain,
    ( sum(pred(sum(n12,n6)),sum(n5,pred(sum(n12,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(spm,[status(thm)],[5520,5685,theory(equality)]) ).

cnf(5699,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5698,420,theory(equality)]),681,theory(equality)]),421,theory(equality)]),682,theory(equality)]),557,theory(equality)]),321,theory(equality)]) ).

cnf(5700,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(sr,[status(thm)],[5699,217,theory(equality)]) ).

cnf(5712,plain,
    ( sum(pred(sum(n11,n6)),sum(n5,pred(sum(n11,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[5520,5700,theory(equality)]) ).

cnf(5713,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5712,441,theory(equality)]),682,theory(equality)]),442,theory(equality)]),683,theory(equality)]),558,theory(equality)]),322,theory(equality)]) ).

cnf(5714,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[5713,219,theory(equality)]) ).

cnf(5725,plain,
    ( sum(pred(sum(n10,n6)),sum(n5,pred(sum(n10,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(spm,[status(thm)],[5520,5714,theory(equality)]) ).

cnf(5726,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5725,462,theory(equality)]),683,theory(equality)]),463,theory(equality)]),684,theory(equality)]),559,theory(equality)]),344,theory(equality)]) ).

cnf(5727,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(sr,[status(thm)],[5726,221,theory(equality)]) ).

cnf(5737,plain,
    ( sum(pred(sum(n9,n6)),sum(n5,pred(sum(n9,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(spm,[status(thm)],[5520,5727,theory(equality)]) ).

cnf(5738,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5737,483,theory(equality)]),684,theory(equality)]),484,theory(equality)]),685,theory(equality)]),560,theory(equality)]),366,theory(equality)]) ).

cnf(5739,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | 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(sr,[status(thm)],[5738,223,theory(equality)]) ).

cnf(5748,plain,
    ( sum(pred(sum(n8,n6)),sum(n5,pred(sum(n8,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[5520,5739,theory(equality)]) ).

cnf(5749,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5748,504,theory(equality)]),685,theory(equality)]),505,theory(equality)]),686,theory(equality)]),561,theory(equality)]),388,theory(equality)]) ).

cnf(5750,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[5749,225,theory(equality)]) ).

cnf(5758,plain,
    ( sum(pred(sum(n7,n6)),sum(n5,pred(sum(n7,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[5520,5750,theory(equality)]) ).

cnf(5759,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5758,525,theory(equality)]),686,theory(equality)]),526,theory(equality)]),687,theory(equality)]),562,theory(equality)]),410,theory(equality)]) ).

cnf(5760,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[5759,227,theory(equality)]) ).

cnf(5767,plain,
    ( sum(pred(sum(n6,n6)),sum(n5,pred(sum(n6,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[5520,5760,theory(equality)]) ).

cnf(5768,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5767,546,theory(equality)]),687,theory(equality)]),547,theory(equality)]),688,theory(equality)]),563,theory(equality)]),432,theory(equality)]) ).

cnf(5769,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[5768,229,theory(equality)]) ).

cnf(5775,plain,
    ( sum(pred(sum(n5,n6)),sum(n5,pred(sum(n5,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[5520,5769,theory(equality)]) ).

cnf(5776,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5775,567,theory(equality)]),688,theory(equality)]),568,theory(equality)]),689,theory(equality)]),564,theory(equality)]),454,theory(equality)]) ).

cnf(5777,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[5776,231,theory(equality)]) ).

cnf(5782,plain,
    ( sum(pred(sum(n4,n6)),sum(n5,pred(sum(n4,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[5520,5777,theory(equality)]) ).

cnf(5783,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5782,588,theory(equality)]),689,theory(equality)]),589,theory(equality)]),690,theory(equality)]),565,theory(equality)]),476,theory(equality)]) ).

cnf(5784,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[5783,233,theory(equality)]) ).

cnf(5788,plain,
    ( sum(pred(sum(n3,n6)),sum(n5,pred(sum(n3,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[5520,5784,theory(equality)]) ).

cnf(5789,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5788,609,theory(equality)]),690,theory(equality)]),610,theory(equality)]),691,theory(equality)]),566,theory(equality)]),498,theory(equality)]) ).

cnf(5790,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[5789,214,theory(equality)]) ).

cnf(5793,plain,
    ( sum(pred(sum(n2,n6)),sum(n5,pred(sum(n2,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[5520,5790,theory(equality)]) ).

cnf(5794,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5793,630,theory(equality)]),691,theory(equality)]),631,theory(equality)]),692,theory(equality)]),567,theory(equality)]),520,theory(equality)]) ).

cnf(5795,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[5794,216,theory(equality)]) ).

cnf(5797,plain,
    ( sum(pred(sum(n1,n6)),sum(n5,pred(sum(n1,n5)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(spm,[status(thm)],[5520,5795,theory(equality)]) ).

cnf(5798,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5797,651,theory(equality)]),692,theory(equality)]),652,theory(equality)]),693,theory(equality)]),568,theory(equality)]),542,theory(equality)]) ).

cnf(5799,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[5798,218,theory(equality)]) ).

cnf(5803,plain,
    ( sum(pred(sum(esk1_0,succ(n4))),sum(n4,pred(sum(esk1_0,n4)))) = esk3_0
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(spm,[status(thm)],[235,5799,theory(equality)]) ).

cnf(5804,plain,
    ( sum(pred(sum(n0,succ(n4))),sum(n4,pred(sum(n0,n4)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(spm,[status(thm)],[741,5799,theory(equality)]) ).

cnf(5805,plain,
    ( sum(pred(sum(esk1_0,n5)),sum(n4,pred(sum(esk1_0,n4)))) = esk3_0
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[5803,716,theory(equality)]) ).

cnf(5806,plain,
    ( n11 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    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)],[5804,716,theory(equality)]),673,theory(equality)]),694,theory(equality)]),674,theory(equality)]),695,theory(equality)]),591,theory(equality)]),587,theory(equality)]) ).

cnf(5807,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[5806,223,theory(equality)]) ).

cnf(5831,plain,
    ( sum(pred(sum(n20,n5)),sum(n4,pred(sum(n20,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(spm,[status(thm)],[5805,5807,theory(equality)]) ).

cnf(5832,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5831,253,theory(equality)]),695,theory(equality)]),254,theory(equality)]),696,theory(equality)]),592,theory(equality)]),609,theory(equality)]) ).

cnf(5833,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(sr,[status(thm)],[5832,225,theory(equality)]) ).

cnf(5853,plain,
    ( sum(pred(sum(n19,n5)),sum(n4,pred(sum(n19,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[5805,5833,theory(equality)]) ).

cnf(5854,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5853,274,theory(equality)]),696,theory(equality)]),275,theory(equality)]),697,theory(equality)]),593,theory(equality)]),631,theory(equality)]) ).

cnf(5855,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[5854,227,theory(equality)]) ).

cnf(5874,plain,
    ( sum(pred(sum(n18,n5)),sum(n4,pred(sum(n18,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(spm,[status(thm)],[5805,5855,theory(equality)]) ).

cnf(5875,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5874,295,theory(equality)]),697,theory(equality)]),296,theory(equality)]),698,theory(equality)]),594,theory(equality)]),653,theory(equality)]) ).

cnf(5876,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(sr,[status(thm)],[5875,229,theory(equality)]) ).

cnf(5894,plain,
    ( sum(pred(sum(n17,n5)),sum(n4,pred(sum(n17,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[5805,5876,theory(equality)]) ).

cnf(5895,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5894,316,theory(equality)]),698,theory(equality)]),317,theory(equality)]),699,theory(equality)]),574,theory(equality)]),675,theory(equality)]) ).

cnf(5896,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[5895,231,theory(equality)]) ).

cnf(5913,plain,
    ( sum(pred(sum(n16,n5)),sum(n4,pred(sum(n16,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(spm,[status(thm)],[5805,5896,theory(equality)]) ).

cnf(5914,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5913,337,theory(equality)]),699,theory(equality)]),338,theory(equality)]),679,theory(equality)]),575,theory(equality)]),256,theory(equality)]) ).

cnf(5915,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(sr,[status(thm)],[5914,233,theory(equality)]) ).

cnf(5935,plain,
    ( sum(pred(sum(n15,n5)),sum(n4,pred(sum(n15,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[5805,5915,theory(equality)]) ).

cnf(5936,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5935,358,theory(equality)]),679,theory(equality)]),359,theory(equality)]),680,theory(equality)]),576,theory(equality)]),278,theory(equality)]) ).

cnf(5937,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[5936,214,theory(equality)]) ).

cnf(5952,plain,
    ( sum(pred(sum(n14,n5)),sum(n4,pred(sum(n14,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(spm,[status(thm)],[5805,5937,theory(equality)]) ).

cnf(5953,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5952,379,theory(equality)]),680,theory(equality)]),380,theory(equality)]),681,theory(equality)]),577,theory(equality)]),300,theory(equality)]) ).

cnf(5954,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(sr,[status(thm)],[5953,216,theory(equality)]) ).

cnf(5968,plain,
    ( sum(pred(sum(n13,n5)),sum(n4,pred(sum(n13,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[5805,5954,theory(equality)]) ).

cnf(5969,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5968,400,theory(equality)]),681,theory(equality)]),401,theory(equality)]),682,theory(equality)]),578,theory(equality)]),301,theory(equality)]) ).

cnf(5970,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[5969,218,theory(equality)]) ).

cnf(5983,plain,
    ( sum(pred(sum(n12,n5)),sum(n4,pred(sum(n12,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(spm,[status(thm)],[5805,5970,theory(equality)]) ).

cnf(5984,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5983,421,theory(equality)]),682,theory(equality)]),422,theory(equality)]),683,theory(equality)]),579,theory(equality)]),323,theory(equality)]) ).

cnf(5985,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(sr,[status(thm)],[5984,220,theory(equality)]) ).

cnf(5997,plain,
    ( sum(pred(sum(n11,n5)),sum(n4,pred(sum(n11,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[5805,5985,theory(equality)]) ).

cnf(5998,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5997,442,theory(equality)]),683,theory(equality)]),443,theory(equality)]),684,theory(equality)]),580,theory(equality)]),345,theory(equality)]) ).

cnf(5999,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[5998,222,theory(equality)]) ).

cnf(6010,plain,
    ( sum(pred(sum(n10,n5)),sum(n4,pred(sum(n10,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(spm,[status(thm)],[5805,5999,theory(equality)]) ).

cnf(6011,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6010,463,theory(equality)]),684,theory(equality)]),464,theory(equality)]),685,theory(equality)]),581,theory(equality)]),367,theory(equality)]) ).

cnf(6012,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(sr,[status(thm)],[6011,224,theory(equality)]) ).

cnf(6022,plain,
    ( sum(pred(sum(n9,n5)),sum(n4,pred(sum(n9,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(spm,[status(thm)],[5805,6012,theory(equality)]) ).

cnf(6023,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6022,484,theory(equality)]),685,theory(equality)]),485,theory(equality)]),686,theory(equality)]),582,theory(equality)]),389,theory(equality)]) ).

cnf(6024,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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(sr,[status(thm)],[6023,226,theory(equality)]) ).

cnf(6033,plain,
    ( sum(pred(sum(n8,n5)),sum(n4,pred(sum(n8,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[5805,6024,theory(equality)]) ).

cnf(6034,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6033,505,theory(equality)]),686,theory(equality)]),506,theory(equality)]),687,theory(equality)]),583,theory(equality)]),411,theory(equality)]) ).

cnf(6035,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[6034,228,theory(equality)]) ).

cnf(6043,plain,
    ( sum(pred(sum(n7,n5)),sum(n4,pred(sum(n7,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[5805,6035,theory(equality)]) ).

cnf(6044,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6043,526,theory(equality)]),687,theory(equality)]),527,theory(equality)]),688,theory(equality)]),584,theory(equality)]),433,theory(equality)]) ).

cnf(6045,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[6044,230,theory(equality)]) ).

cnf(6052,plain,
    ( sum(pred(sum(n6,n5)),sum(n4,pred(sum(n6,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[5805,6045,theory(equality)]) ).

cnf(6053,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6052,547,theory(equality)]),688,theory(equality)]),548,theory(equality)]),689,theory(equality)]),585,theory(equality)]),455,theory(equality)]) ).

cnf(6054,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[6053,232,theory(equality)]) ).

cnf(6060,plain,
    ( sum(pred(sum(n5,n5)),sum(n4,pred(sum(n5,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[5805,6054,theory(equality)]) ).

cnf(6061,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6060,568,theory(equality)]),689,theory(equality)]),569,theory(equality)]),690,theory(equality)]),586,theory(equality)]),477,theory(equality)]) ).

cnf(6062,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[6061,234,theory(equality)]) ).

cnf(6067,plain,
    ( sum(pred(sum(n4,n5)),sum(n4,pred(sum(n4,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[5805,6062,theory(equality)]) ).

cnf(6068,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6067,589,theory(equality)]),690,theory(equality)]),590,theory(equality)]),691,theory(equality)]),587,theory(equality)]),499,theory(equality)]) ).

cnf(6069,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[6068,215,theory(equality)]) ).

cnf(6073,plain,
    ( sum(pred(sum(n3,n5)),sum(n4,pred(sum(n3,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[5805,6069,theory(equality)]) ).

cnf(6074,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6073,610,theory(equality)]),691,theory(equality)]),611,theory(equality)]),692,theory(equality)]),588,theory(equality)]),521,theory(equality)]) ).

cnf(6075,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[6074,217,theory(equality)]) ).

cnf(6078,plain,
    ( sum(pred(sum(n2,n5)),sum(n4,pred(sum(n2,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[5805,6075,theory(equality)]) ).

cnf(6079,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6078,631,theory(equality)]),692,theory(equality)]),632,theory(equality)]),693,theory(equality)]),589,theory(equality)]),543,theory(equality)]) ).

cnf(6080,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[6079,219,theory(equality)]) ).

cnf(6082,plain,
    ( sum(pred(sum(n1,n5)),sum(n4,pred(sum(n1,n4)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(spm,[status(thm)],[5805,6080,theory(equality)]) ).

cnf(6083,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6082,652,theory(equality)]),693,theory(equality)]),653,theory(equality)]),694,theory(equality)]),590,theory(equality)]),565,theory(equality)]) ).

cnf(6084,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[6083,221,theory(equality)]) ).

cnf(6087,plain,
    ( sum(pred(sum(esk1_0,succ(n3))),sum(n3,pred(sum(esk1_0,n3)))) = esk3_0
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(spm,[status(thm)],[235,6084,theory(equality)]) ).

cnf(6088,plain,
    ( sum(pred(sum(n0,succ(n3))),sum(n3,pred(sum(n0,n3)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[741,6084,theory(equality)]) ).

cnf(6089,plain,
    ( sum(pred(sum(esk1_0,n4)),sum(n3,pred(sum(esk1_0,n3)))) = esk3_0
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[6087,717,theory(equality)]) ).

cnf(6090,plain,
    ( n8 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(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)],[6088,717,theory(equality)]),674,theory(equality)]),695,theory(equality)]),675,theory(equality)]),696,theory(equality)]),613,theory(equality)]),610,theory(equality)]) ).

cnf(6091,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[6090,226,theory(equality)]) ).

cnf(6115,plain,
    ( sum(pred(sum(n20,n4)),sum(n3,pred(sum(n20,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(spm,[status(thm)],[6089,6091,theory(equality)]) ).

cnf(6116,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6115,254,theory(equality)]),696,theory(equality)]),255,theory(equality)]),697,theory(equality)]),614,theory(equality)]),632,theory(equality)]) ).

cnf(6117,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | 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(sr,[status(thm)],[6116,228,theory(equality)]) ).

cnf(6137,plain,
    ( sum(pred(sum(n19,n4)),sum(n3,pred(sum(n19,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[6089,6117,theory(equality)]) ).

cnf(6138,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6137,275,theory(equality)]),697,theory(equality)]),276,theory(equality)]),698,theory(equality)]),615,theory(equality)]),654,theory(equality)]) ).

cnf(6139,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[6138,230,theory(equality)]) ).

cnf(6158,plain,
    ( sum(pred(sum(n18,n4)),sum(n3,pred(sum(n18,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(spm,[status(thm)],[6089,6139,theory(equality)]) ).

cnf(6159,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6158,296,theory(equality)]),698,theory(equality)]),297,theory(equality)]),699,theory(equality)]),595,theory(equality)]),676,theory(equality)]) ).

cnf(6160,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | 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(sr,[status(thm)],[6159,232,theory(equality)]) ).

cnf(6178,plain,
    ( sum(pred(sum(n17,n4)),sum(n3,pred(sum(n17,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[6089,6160,theory(equality)]) ).

cnf(6179,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6178,317,theory(equality)]),699,theory(equality)]),318,theory(equality)]),679,theory(equality)]),596,theory(equality)]),257,theory(equality)]) ).

cnf(6180,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[6179,234,theory(equality)]) ).

cnf(6197,plain,
    ( sum(pred(sum(n16,n4)),sum(n3,pred(sum(n16,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(spm,[status(thm)],[6089,6180,theory(equality)]) ).

cnf(6198,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6197,338,theory(equality)]),679,theory(equality)]),339,theory(equality)]),680,theory(equality)]),597,theory(equality)]),279,theory(equality)]) ).

cnf(6199,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | 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(sr,[status(thm)],[6198,215,theory(equality)]) ).

cnf(6215,plain,
    ( sum(pred(sum(n15,n4)),sum(n3,pred(sum(n15,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[6089,6199,theory(equality)]) ).

cnf(6216,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6215,359,theory(equality)]),680,theory(equality)]),360,theory(equality)]),681,theory(equality)]),598,theory(equality)]),280,theory(equality)]) ).

cnf(6217,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[6216,217,theory(equality)]) ).

cnf(6237,plain,
    ( sum(pred(sum(n14,n4)),sum(n3,pred(sum(n14,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(spm,[status(thm)],[6089,6217,theory(equality)]) ).

cnf(6238,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6237,380,theory(equality)]),681,theory(equality)]),381,theory(equality)]),682,theory(equality)]),599,theory(equality)]),302,theory(equality)]) ).

cnf(6239,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | 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(sr,[status(thm)],[6238,219,theory(equality)]) ).

cnf(6253,plain,
    ( sum(pred(sum(n13,n4)),sum(n3,pred(sum(n13,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[6089,6239,theory(equality)]) ).

cnf(6254,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6253,401,theory(equality)]),682,theory(equality)]),402,theory(equality)]),683,theory(equality)]),600,theory(equality)]),324,theory(equality)]) ).

cnf(6255,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[6254,221,theory(equality)]) ).

cnf(6268,plain,
    ( sum(pred(sum(n12,n4)),sum(n3,pred(sum(n12,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(spm,[status(thm)],[6089,6255,theory(equality)]) ).

cnf(6269,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6268,422,theory(equality)]),683,theory(equality)]),423,theory(equality)]),684,theory(equality)]),601,theory(equality)]),346,theory(equality)]) ).

cnf(6270,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | 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(sr,[status(thm)],[6269,223,theory(equality)]) ).

cnf(6282,plain,
    ( sum(pred(sum(n11,n4)),sum(n3,pred(sum(n11,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[6089,6270,theory(equality)]) ).

cnf(6283,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6282,443,theory(equality)]),684,theory(equality)]),444,theory(equality)]),685,theory(equality)]),602,theory(equality)]),368,theory(equality)]) ).

cnf(6284,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[6283,225,theory(equality)]) ).

cnf(6295,plain,
    ( sum(pred(sum(n10,n4)),sum(n3,pred(sum(n10,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(spm,[status(thm)],[6089,6284,theory(equality)]) ).

cnf(6296,plain,
    ( n7 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6295,464,theory(equality)]),685,theory(equality)]),465,theory(equality)]),686,theory(equality)]),603,theory(equality)]),390,theory(equality)]) ).

cnf(6297,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | 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(sr,[status(thm)],[6296,227,theory(equality)]) ).

cnf(6307,plain,
    ( sum(pred(sum(n9,n4)),sum(n3,pred(sum(n9,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(spm,[status(thm)],[6089,6297,theory(equality)]) ).

cnf(6308,plain,
    ( n5 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6307,485,theory(equality)]),686,theory(equality)]),486,theory(equality)]),687,theory(equality)]),604,theory(equality)]),412,theory(equality)]) ).

cnf(6309,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | 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(sr,[status(thm)],[6308,229,theory(equality)]) ).

cnf(6318,plain,
    ( sum(pred(sum(n8,n4)),sum(n3,pred(sum(n8,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[6089,6309,theory(equality)]) ).

cnf(6319,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6318,506,theory(equality)]),687,theory(equality)]),507,theory(equality)]),688,theory(equality)]),605,theory(equality)]),434,theory(equality)]) ).

cnf(6320,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[6319,231,theory(equality)]) ).

cnf(6328,plain,
    ( sum(pred(sum(n7,n4)),sum(n3,pred(sum(n7,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[6089,6320,theory(equality)]) ).

cnf(6329,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6328,527,theory(equality)]),688,theory(equality)]),528,theory(equality)]),689,theory(equality)]),606,theory(equality)]),456,theory(equality)]) ).

cnf(6330,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[6329,233,theory(equality)]) ).

cnf(6337,plain,
    ( sum(pred(sum(n6,n4)),sum(n3,pred(sum(n6,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[6089,6330,theory(equality)]) ).

cnf(6338,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6337,548,theory(equality)]),689,theory(equality)]),549,theory(equality)]),690,theory(equality)]),607,theory(equality)]),478,theory(equality)]) ).

cnf(6339,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[6338,214,theory(equality)]) ).

cnf(6345,plain,
    ( sum(pred(sum(n5,n4)),sum(n3,pred(sum(n5,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[6089,6339,theory(equality)]) ).

cnf(6346,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6345,569,theory(equality)]),690,theory(equality)]),570,theory(equality)]),691,theory(equality)]),608,theory(equality)]),500,theory(equality)]) ).

cnf(6347,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[6346,216,theory(equality)]) ).

cnf(6352,plain,
    ( sum(pred(sum(n4,n4)),sum(n3,pred(sum(n4,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[6089,6347,theory(equality)]) ).

cnf(6353,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6352,590,theory(equality)]),691,theory(equality)]),591,theory(equality)]),692,theory(equality)]),609,theory(equality)]),522,theory(equality)]) ).

cnf(6354,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[6353,218,theory(equality)]) ).

cnf(6358,plain,
    ( sum(pred(sum(n3,n4)),sum(n3,pred(sum(n3,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[6089,6354,theory(equality)]) ).

cnf(6359,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6358,611,theory(equality)]),692,theory(equality)]),612,theory(equality)]),693,theory(equality)]),610,theory(equality)]),544,theory(equality)]) ).

cnf(6360,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[6359,220,theory(equality)]) ).

cnf(6363,plain,
    ( sum(pred(sum(n2,n4)),sum(n3,pred(sum(n2,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[6089,6360,theory(equality)]) ).

cnf(6364,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6363,632,theory(equality)]),693,theory(equality)]),633,theory(equality)]),694,theory(equality)]),611,theory(equality)]),566,theory(equality)]) ).

cnf(6365,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[6364,222,theory(equality)]) ).

cnf(6367,plain,
    ( sum(pred(sum(n1,n4)),sum(n3,pred(sum(n1,n3)))) = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(spm,[status(thm)],[6089,6365,theory(equality)]) ).

cnf(6368,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6367,653,theory(equality)]),694,theory(equality)]),654,theory(equality)]),695,theory(equality)]),612,theory(equality)]),588,theory(equality)]) ).

cnf(6369,plain,
    ( esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[6368,224,theory(equality)]) ).

cnf(6371,plain,
    ( sum(pred(sum(esk1_0,succ(n2))),sum(n2,pred(sum(esk1_0,n2)))) = esk3_0
    | esk2_0 = n1 ),
    inference(spm,[status(thm)],[235,6369,theory(equality)]) ).

cnf(6372,plain,
    ( sum(pred(sum(n0,succ(n2))),sum(n2,pred(sum(n0,n2)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[741,6369,theory(equality)]) ).

cnf(6373,plain,
    ( sum(pred(sum(esk1_0,n3)),sum(n2,pred(sum(esk1_0,n2)))) = esk3_0
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[6371,718,theory(equality)]) ).

cnf(6374,plain,
    ( n5 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(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)],[6372,718,theory(equality)]),675,theory(equality)]),696,theory(equality)]),676,theory(equality)]),697,theory(equality)]),635,theory(equality)]),633,theory(equality)]) ).

cnf(6375,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[6374,229,theory(equality)]) ).

cnf(6399,plain,
    ( sum(pred(sum(n20,n3)),sum(n2,pred(sum(n20,n2)))) = esk3_0
    | esk2_0 = n1
    | 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(spm,[status(thm)],[6373,6375,theory(equality)]) ).

cnf(6400,plain,
    ( n3 = esk3_0
    | esk2_0 = n1
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6399,255,theory(equality)]),697,theory(equality)]),256,theory(equality)]),698,theory(equality)]),636,theory(equality)]),655,theory(equality)]) ).

cnf(6401,plain,
    ( esk2_0 = n1
    | 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(sr,[status(thm)],[6400,231,theory(equality)]) ).

cnf(6421,plain,
    ( sum(pred(sum(n19,n3)),sum(n2,pred(sum(n19,n2)))) = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[6373,6401,theory(equality)]) ).

cnf(6422,plain,
    ( n1 = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6421,276,theory(equality)]),698,theory(equality)]),277,theory(equality)]),699,theory(equality)]),616,theory(equality)]),677,theory(equality)]) ).

cnf(6423,plain,
    ( esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[6422,233,theory(equality)]) ).

cnf(6442,plain,
    ( sum(pred(sum(n18,n3)),sum(n2,pred(sum(n18,n2)))) = esk3_0
    | esk2_0 = n1
    | 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(spm,[status(thm)],[6373,6423,theory(equality)]) ).

cnf(6443,plain,
    ( n20 = esk3_0
    | esk2_0 = n1
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6442,297,theory(equality)]),699,theory(equality)]),298,theory(equality)]),679,theory(equality)]),617,theory(equality)]),258,theory(equality)]) ).

cnf(6444,plain,
    ( esk2_0 = n1
    | 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(sr,[status(thm)],[6443,214,theory(equality)]) ).

cnf(6462,plain,
    ( sum(pred(sum(n17,n3)),sum(n2,pred(sum(n17,n2)))) = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[6373,6444,theory(equality)]) ).

cnf(6463,plain,
    ( n18 = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6462,318,theory(equality)]),679,theory(equality)]),319,theory(equality)]),680,theory(equality)]),618,theory(equality)]),259,theory(equality)]) ).

cnf(6464,plain,
    ( esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[6463,216,theory(equality)]) ).

cnf(6481,plain,
    ( sum(pred(sum(n16,n3)),sum(n2,pred(sum(n16,n2)))) = esk3_0
    | esk2_0 = n1
    | 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(spm,[status(thm)],[6373,6464,theory(equality)]) ).

cnf(6482,plain,
    ( n16 = esk3_0
    | esk2_0 = n1
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6481,339,theory(equality)]),680,theory(equality)]),340,theory(equality)]),681,theory(equality)]),619,theory(equality)]),281,theory(equality)]) ).

cnf(6483,plain,
    ( esk2_0 = n1
    | 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(sr,[status(thm)],[6482,218,theory(equality)]) ).

cnf(6499,plain,
    ( sum(pred(sum(n15,n3)),sum(n2,pred(sum(n15,n2)))) = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[6373,6483,theory(equality)]) ).

cnf(6500,plain,
    ( n14 = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6499,360,theory(equality)]),681,theory(equality)]),361,theory(equality)]),682,theory(equality)]),620,theory(equality)]),303,theory(equality)]) ).

cnf(6501,plain,
    ( esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[6500,220,theory(equality)]) ).

cnf(6516,plain,
    ( sum(pred(sum(n14,n3)),sum(n2,pred(sum(n14,n2)))) = esk3_0
    | esk2_0 = n1
    | 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(spm,[status(thm)],[6373,6501,theory(equality)]) ).

cnf(6517,plain,
    ( n12 = esk3_0
    | esk2_0 = n1
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6516,381,theory(equality)]),682,theory(equality)]),382,theory(equality)]),683,theory(equality)]),621,theory(equality)]),325,theory(equality)]) ).

cnf(6518,plain,
    ( esk2_0 = n1
    | 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(sr,[status(thm)],[6517,222,theory(equality)]) ).

cnf(6532,plain,
    ( sum(pred(sum(n13,n3)),sum(n2,pred(sum(n13,n2)))) = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[6373,6518,theory(equality)]) ).

cnf(6533,plain,
    ( n10 = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6532,402,theory(equality)]),683,theory(equality)]),403,theory(equality)]),684,theory(equality)]),622,theory(equality)]),347,theory(equality)]) ).

cnf(6534,plain,
    ( esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[6533,224,theory(equality)]) ).

cnf(6554,plain,
    ( sum(pred(sum(n12,n3)),sum(n2,pred(sum(n12,n2)))) = esk3_0
    | esk2_0 = n1
    | 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(spm,[status(thm)],[6373,6534,theory(equality)]) ).

cnf(6555,plain,
    ( n8 = esk3_0
    | esk2_0 = n1
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6554,423,theory(equality)]),684,theory(equality)]),424,theory(equality)]),685,theory(equality)]),623,theory(equality)]),369,theory(equality)]) ).

cnf(6556,plain,
    ( esk2_0 = n1
    | 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(sr,[status(thm)],[6555,226,theory(equality)]) ).

cnf(6568,plain,
    ( sum(pred(sum(n11,n3)),sum(n2,pred(sum(n11,n2)))) = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[6373,6556,theory(equality)]) ).

cnf(6569,plain,
    ( n6 = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6568,444,theory(equality)]),685,theory(equality)]),445,theory(equality)]),686,theory(equality)]),624,theory(equality)]),391,theory(equality)]) ).

cnf(6570,plain,
    ( esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[6569,228,theory(equality)]) ).

cnf(6581,plain,
    ( sum(pred(sum(n10,n3)),sum(n2,pred(sum(n10,n2)))) = esk3_0
    | esk2_0 = n1
    | 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(spm,[status(thm)],[6373,6570,theory(equality)]) ).

cnf(6582,plain,
    ( n4 = esk3_0
    | esk2_0 = n1
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6581,465,theory(equality)]),686,theory(equality)]),466,theory(equality)]),687,theory(equality)]),625,theory(equality)]),413,theory(equality)]) ).

cnf(6583,plain,
    ( esk2_0 = n1
    | 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(sr,[status(thm)],[6582,230,theory(equality)]) ).

cnf(6593,plain,
    ( sum(pred(sum(n9,n3)),sum(n2,pred(sum(n9,n2)))) = esk3_0
    | esk2_0 = n1
    | 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(spm,[status(thm)],[6373,6583,theory(equality)]) ).

cnf(6594,plain,
    ( n2 = esk3_0
    | esk2_0 = n1
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6593,486,theory(equality)]),687,theory(equality)]),487,theory(equality)]),688,theory(equality)]),626,theory(equality)]),435,theory(equality)]) ).

cnf(6595,plain,
    ( esk2_0 = n1
    | 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(sr,[status(thm)],[6594,232,theory(equality)]) ).

cnf(6604,plain,
    ( sum(pred(sum(n8,n3)),sum(n2,pred(sum(n8,n2)))) = esk3_0
    | esk2_0 = n1
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[6373,6595,theory(equality)]) ).

cnf(6605,plain,
    ( n0 = esk3_0
    | esk2_0 = n1
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6604,507,theory(equality)]),688,theory(equality)]),508,theory(equality)]),689,theory(equality)]),627,theory(equality)]),457,theory(equality)]) ).

cnf(6606,plain,
    ( esk2_0 = n1
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[6605,234,theory(equality)]) ).

cnf(6614,plain,
    ( sum(pred(sum(n7,n3)),sum(n2,pred(sum(n7,n2)))) = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[6373,6606,theory(equality)]) ).

cnf(6615,plain,
    ( n19 = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6614,528,theory(equality)]),689,theory(equality)]),529,theory(equality)]),690,theory(equality)]),628,theory(equality)]),479,theory(equality)]) ).

cnf(6616,plain,
    ( esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[6615,215,theory(equality)]) ).

cnf(6623,plain,
    ( sum(pred(sum(n6,n3)),sum(n2,pred(sum(n6,n2)))) = esk3_0
    | esk2_0 = n1
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[6373,6616,theory(equality)]) ).

cnf(6624,plain,
    ( n17 = esk3_0
    | esk2_0 = n1
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6623,549,theory(equality)]),690,theory(equality)]),550,theory(equality)]),691,theory(equality)]),629,theory(equality)]),501,theory(equality)]) ).

cnf(6625,plain,
    ( esk2_0 = n1
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[6624,217,theory(equality)]) ).

cnf(6631,plain,
    ( sum(pred(sum(n5,n3)),sum(n2,pred(sum(n5,n2)))) = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[6373,6625,theory(equality)]) ).

cnf(6632,plain,
    ( n15 = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6631,570,theory(equality)]),691,theory(equality)]),571,theory(equality)]),692,theory(equality)]),630,theory(equality)]),523,theory(equality)]) ).

cnf(6633,plain,
    ( esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[6632,219,theory(equality)]) ).

cnf(6638,plain,
    ( sum(pred(sum(n4,n3)),sum(n2,pred(sum(n4,n2)))) = esk3_0
    | esk2_0 = n1
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[6373,6633,theory(equality)]) ).

cnf(6639,plain,
    ( n13 = esk3_0
    | esk2_0 = n1
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6638,591,theory(equality)]),692,theory(equality)]),592,theory(equality)]),693,theory(equality)]),631,theory(equality)]),545,theory(equality)]) ).

cnf(6640,plain,
    ( esk2_0 = n1
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[6639,221,theory(equality)]) ).

cnf(6644,plain,
    ( sum(pred(sum(n3,n3)),sum(n2,pred(sum(n3,n2)))) = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[6373,6640,theory(equality)]) ).

cnf(6645,plain,
    ( n11 = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6644,612,theory(equality)]),693,theory(equality)]),613,theory(equality)]),694,theory(equality)]),632,theory(equality)]),567,theory(equality)]) ).

cnf(6646,plain,
    ( esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[6645,223,theory(equality)]) ).

cnf(6649,plain,
    ( sum(pred(sum(n2,n3)),sum(n2,pred(sum(n2,n2)))) = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[6373,6646,theory(equality)]) ).

cnf(6650,plain,
    ( n9 = esk3_0
    | esk2_0 = n1
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6649,633,theory(equality)]),694,theory(equality)]),634,theory(equality)]),695,theory(equality)]),633,theory(equality)]),589,theory(equality)]) ).

cnf(6651,plain,
    ( esk2_0 = n1
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[6650,225,theory(equality)]) ).

cnf(6653,plain,
    ( sum(pred(sum(n1,n3)),sum(n2,pred(sum(n1,n2)))) = esk3_0
    | esk2_0 = n1 ),
    inference(spm,[status(thm)],[6373,6651,theory(equality)]) ).

cnf(6654,plain,
    ( n7 = esk3_0
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6653,654,theory(equality)]),695,theory(equality)]),655,theory(equality)]),696,theory(equality)]),634,theory(equality)]),611,theory(equality)]) ).

cnf(6655,plain,
    esk2_0 = n1,
    inference(sr,[status(thm)],[6654,227,theory(equality)]) ).

cnf(6656,plain,
    sum(pred(sum(esk1_0,n2)),sum(n1,pred(sum(esk1_0,n1)))) = esk3_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[235,6655,theory(equality)]),719,theory(equality)]),6655,theory(equality)]),6655,theory(equality)]) ).

cnf(6661,plain,
    ( sum(n1,n1) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[741,6655,theory(equality)]),719,theory(equality)]),676,theory(equality)]),697,theory(equality)]),6655,theory(equality)]),6655,theory(equality)]),677,theory(equality)]),698,theory(equality)]),657,theory(equality)]) ).

cnf(6662,plain,
    ( n2 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[6661,656,theory(equality)]) ).

cnf(6663,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[6662,232,theory(equality)]) ).

cnf(6686,plain,
    ( sum(pred(sum(n20,n2)),sum(n1,pred(sum(n20,n1)))) = esk3_0
    | 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(spm,[status(thm)],[6656,6663,theory(equality)]) ).

cnf(6687,plain,
    ( n0 = esk3_0
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6686,256,theory(equality)]),698,theory(equality)]),257,theory(equality)]),699,theory(equality)]),637,theory(equality)]),678,theory(equality)]) ).

cnf(6688,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 ),
    inference(sr,[status(thm)],[6687,234,theory(equality)]) ).

cnf(6707,plain,
    ( sum(pred(sum(n19,n2)),sum(n1,pred(sum(n19,n1)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(spm,[status(thm)],[6656,6688,theory(equality)]) ).

cnf(6708,plain,
    ( n19 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6707,277,theory(equality)]),699,theory(equality)]),278,theory(equality)]),679,theory(equality)]),638,theory(equality)]),238,theory(equality)]) ).

cnf(6709,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | 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(sr,[status(thm)],[6708,215,theory(equality)]) ).

cnf(6727,plain,
    ( sum(pred(sum(n18,n2)),sum(n1,pred(sum(n18,n1)))) = esk3_0
    | 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(spm,[status(thm)],[6656,6709,theory(equality)]) ).

cnf(6728,plain,
    ( n17 = esk3_0
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6727,298,theory(equality)]),679,theory(equality)]),299,theory(equality)]),680,theory(equality)]),639,theory(equality)]),260,theory(equality)]) ).

cnf(6729,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 ),
    inference(sr,[status(thm)],[6728,217,theory(equality)]) ).

cnf(6746,plain,
    ( sum(pred(sum(n17,n2)),sum(n1,pred(sum(n17,n1)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(spm,[status(thm)],[6656,6729,theory(equality)]) ).

cnf(6747,plain,
    ( n15 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6746,319,theory(equality)]),680,theory(equality)]),320,theory(equality)]),681,theory(equality)]),640,theory(equality)]),282,theory(equality)]) ).

cnf(6748,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | 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(sr,[status(thm)],[6747,219,theory(equality)]) ).

cnf(6764,plain,
    ( sum(pred(sum(n16,n2)),sum(n1,pred(sum(n16,n1)))) = esk3_0
    | 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(spm,[status(thm)],[6656,6748,theory(equality)]) ).

cnf(6765,plain,
    ( n13 = esk3_0
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6764,340,theory(equality)]),681,theory(equality)]),341,theory(equality)]),682,theory(equality)]),641,theory(equality)]),304,theory(equality)]) ).

cnf(6766,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 ),
    inference(sr,[status(thm)],[6765,221,theory(equality)]) ).

cnf(6781,plain,
    ( sum(pred(sum(n15,n2)),sum(n1,pred(sum(n15,n1)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(spm,[status(thm)],[6656,6766,theory(equality)]) ).

cnf(6782,plain,
    ( n11 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6781,361,theory(equality)]),682,theory(equality)]),362,theory(equality)]),683,theory(equality)]),642,theory(equality)]),326,theory(equality)]) ).

cnf(6783,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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(sr,[status(thm)],[6782,223,theory(equality)]) ).

cnf(6797,plain,
    ( sum(pred(sum(n14,n2)),sum(n1,pred(sum(n14,n1)))) = esk3_0
    | 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(spm,[status(thm)],[6656,6783,theory(equality)]) ).

cnf(6798,plain,
    ( n9 = esk3_0
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6797,382,theory(equality)]),683,theory(equality)]),383,theory(equality)]),684,theory(equality)]),643,theory(equality)]),348,theory(equality)]) ).

cnf(6799,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 ),
    inference(sr,[status(thm)],[6798,225,theory(equality)]) ).

cnf(6812,plain,
    ( sum(pred(sum(n13,n2)),sum(n1,pred(sum(n13,n1)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(spm,[status(thm)],[6656,6799,theory(equality)]) ).

cnf(6813,plain,
    ( n7 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6812,403,theory(equality)]),684,theory(equality)]),404,theory(equality)]),685,theory(equality)]),644,theory(equality)]),370,theory(equality)]) ).

cnf(6814,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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(sr,[status(thm)],[6813,227,theory(equality)]) ).

cnf(6826,plain,
    ( sum(pred(sum(n12,n2)),sum(n1,pred(sum(n12,n1)))) = esk3_0
    | 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(spm,[status(thm)],[6656,6814,theory(equality)]) ).

cnf(6827,plain,
    ( n5 = esk3_0
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6826,424,theory(equality)]),685,theory(equality)]),425,theory(equality)]),686,theory(equality)]),645,theory(equality)]),392,theory(equality)]) ).

cnf(6828,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 ),
    inference(sr,[status(thm)],[6827,229,theory(equality)]) ).

cnf(6839,plain,
    ( sum(pred(sum(n11,n2)),sum(n1,pred(sum(n11,n1)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(spm,[status(thm)],[6656,6828,theory(equality)]) ).

cnf(6840,plain,
    ( n3 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6839,445,theory(equality)]),686,theory(equality)]),446,theory(equality)]),687,theory(equality)]),646,theory(equality)]),414,theory(equality)]) ).

cnf(6841,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | 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(sr,[status(thm)],[6840,231,theory(equality)]) ).

cnf(6851,plain,
    ( sum(pred(sum(n10,n2)),sum(n1,pred(sum(n10,n1)))) = esk3_0
    | 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(spm,[status(thm)],[6656,6841,theory(equality)]) ).

cnf(6852,plain,
    ( n1 = esk3_0
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6851,466,theory(equality)]),687,theory(equality)]),467,theory(equality)]),688,theory(equality)]),647,theory(equality)]),436,theory(equality)]) ).

cnf(6853,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 ),
    inference(sr,[status(thm)],[6852,233,theory(equality)]) ).

cnf(6862,plain,
    ( sum(pred(sum(n9,n2)),sum(n1,pred(sum(n9,n1)))) = esk3_0
    | 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(spm,[status(thm)],[6656,6853,theory(equality)]) ).

cnf(6863,plain,
    ( n20 = esk3_0
    | 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6862,487,theory(equality)]),688,theory(equality)]),488,theory(equality)]),689,theory(equality)]),648,theory(equality)]),458,theory(equality)]) ).

cnf(6864,plain,
    ( 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(sr,[status(thm)],[6863,214,theory(equality)]) ).

cnf(6872,plain,
    ( sum(pred(sum(n8,n2)),sum(n1,pred(sum(n8,n1)))) = esk3_0
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[6656,6864,theory(equality)]) ).

cnf(6873,plain,
    ( n18 = esk3_0
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6872,508,theory(equality)]),689,theory(equality)]),509,theory(equality)]),690,theory(equality)]),649,theory(equality)]),480,theory(equality)]) ).

cnf(6874,plain,
    ( esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[6873,216,theory(equality)]) ).

cnf(6881,plain,
    ( sum(pred(sum(n7,n2)),sum(n1,pred(sum(n7,n1)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(spm,[status(thm)],[6656,6874,theory(equality)]) ).

cnf(6882,plain,
    ( n16 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6881,529,theory(equality)]),690,theory(equality)]),530,theory(equality)]),691,theory(equality)]),650,theory(equality)]),502,theory(equality)]) ).

cnf(6883,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(sr,[status(thm)],[6882,218,theory(equality)]) ).

cnf(6889,plain,
    ( sum(pred(sum(n6,n2)),sum(n1,pred(sum(n6,n1)))) = esk3_0
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[6656,6883,theory(equality)]) ).

cnf(6890,plain,
    ( n14 = esk3_0
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6889,550,theory(equality)]),691,theory(equality)]),551,theory(equality)]),692,theory(equality)]),651,theory(equality)]),524,theory(equality)]) ).

cnf(6891,plain,
    ( esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[6890,220,theory(equality)]) ).

cnf(6896,plain,
    ( sum(pred(sum(n5,n2)),sum(n1,pred(sum(n5,n1)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(spm,[status(thm)],[6656,6891,theory(equality)]) ).

cnf(6897,plain,
    ( n12 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6896,571,theory(equality)]),692,theory(equality)]),572,theory(equality)]),693,theory(equality)]),652,theory(equality)]),546,theory(equality)]) ).

cnf(6898,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(sr,[status(thm)],[6897,222,theory(equality)]) ).

cnf(6902,plain,
    ( sum(pred(sum(n4,n2)),sum(n1,pred(sum(n4,n1)))) = esk3_0
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[6656,6898,theory(equality)]) ).

cnf(6903,plain,
    ( n10 = esk3_0
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6902,592,theory(equality)]),693,theory(equality)]),593,theory(equality)]),694,theory(equality)]),653,theory(equality)]),568,theory(equality)]) ).

cnf(6904,plain,
    ( esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[6903,224,theory(equality)]) ).

cnf(6907,plain,
    ( sum(pred(sum(n3,n2)),sum(n1,pred(sum(n3,n1)))) = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(spm,[status(thm)],[6656,6904,theory(equality)]) ).

cnf(6908,plain,
    ( n8 = esk3_0
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6907,613,theory(equality)]),694,theory(equality)]),614,theory(equality)]),695,theory(equality)]),654,theory(equality)]),590,theory(equality)]) ).

cnf(6909,plain,
    ( esk1_0 = n1
    | esk1_0 = n2 ),
    inference(sr,[status(thm)],[6908,226,theory(equality)]) ).

cnf(6911,plain,
    ( sum(pred(sum(n2,n2)),sum(n1,pred(sum(n2,n1)))) = esk3_0
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[6656,6909,theory(equality)]) ).

cnf(6912,plain,
    ( n6 = esk3_0
    | esk1_0 = n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6911,634,theory(equality)]),695,theory(equality)]),635,theory(equality)]),696,theory(equality)]),655,theory(equality)]),612,theory(equality)]) ).

cnf(6913,plain,
    esk1_0 = n1,
    inference(sr,[status(thm)],[6912,228,theory(equality)]) ).

cnf(6914,plain,
    sum(n2,n2) = esk3_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)],[6656,6913,theory(equality)]),655,theory(equality)]),696,theory(equality)]),6913,theory(equality)]),656,theory(equality)]),697,theory(equality)]),656,theory(equality)]) ).

cnf(6915,plain,
    n4 = esk3_0,
    inference(rw,[status(thm)],[6914,634,theory(equality)]) ).

cnf(6916,plain,
    $false,
    inference(sr,[status(thm)],[6915,230,theory(equality)]) ).

cnf(6917,plain,
    $false,
    6916,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM375+1.020 : TPTP v7.0.0. Released v3.2.0.
% 0.00/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.22  % Computer : n129.star.cs.uiowa.edu
% 0.03/0.22  % Model    : x86_64 x86_64
% 0.03/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22  % Memory   : 32218.625MB
% 0.03/0.22  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.22  % CPULimit : 300
% 0.03/0.22  % DateTime : Fri Jan  5 02:08:59 CST 2018
% 0.03/0.22  % CPUTime  : 
% 0.05/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.27  --creating new selector for []
% 0.68/1.08  -running prover on /export/starexec/sandbox/tmp/tmp6TQWL0/sel_theBenchmark.p_1 with time limit 29
% 0.68/1.08  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmp6TQWL0/sel_theBenchmark.p_1']
% 0.68/1.08  -prover status Unsatisfiable
% 0.68/1.08  Problem theBenchmark.p solved in phase 0.
% 0.68/1.08  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/1.08  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/1.08  Solved 1 out of 1.
% 0.68/1.08  # Problem is unsatisfiable (or provable), constructing proof object
% 0.68/1.08  # SZS status Unsatisfiable
% 0.68/1.08  # SZS output start CNFRefutation.
% See solution above
% 0.89/1.09  # SZS output end CNFRefutation
%------------------------------------------------------------------------------