TSTP Solution File: NUM376+1.025 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM376+1.025 : TPTP v7.0.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n047.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 15:02:20 EST 2018

% Result   : Unsatisfiable 1.89s
% Output   : CNFRefutation 1.91s
% Verified : 
% SZS Type : None (MakeTreeStats ran out of CPU time)
% Syntax   : Number of formulae    : 3517

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ? [X1,X2] :
      ( equal(succ(n0),n1)
      & equal(succ(n1),n2)
      & equal(succ(n2),n3)
      & equal(succ(n3),n4)
      & equal(succ(n4),n5)
      & equal(succ(n5),n6)
      & equal(succ(n6),n7)
      & equal(succ(n7),n8)
      & equal(succ(n8),n9)
      & equal(succ(n9),n10)
      & equal(succ(n10),n11)
      & equal(succ(n11),n12)
      & equal(succ(n12),n13)
      & equal(succ(n13),n14)
      & equal(succ(n14),n15)
      & equal(succ(n15),n16)
      & equal(succ(n16),n17)
      & equal(succ(n17),n18)
      & equal(succ(n18),n19)
      & equal(succ(n19),n20)
      & equal(succ(n20),n21)
      & equal(succ(n21),n22)
      & equal(succ(n22),n23)
      & equal(succ(n23),n24)
      & equal(succ(n24),n25)
      & equal(succ(n25),n0)
      & equal(pred(n0),n25)
      & 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(pred(n21),n20)
      & equal(pred(n22),n21)
      & equal(pred(n23),n22)
      & equal(pred(n24),n23)
      & equal(pred(n25),n24)
      & 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(n0,n21),n21)
      & equal(sum(n0,n22),n22)
      & equal(sum(n0,n23),n23)
      & equal(sum(n0,n24),n24)
      & equal(sum(n0,n25),n25)
      & 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),n21)
      & equal(sum(n1,n21),n22)
      & equal(sum(n1,n22),n23)
      & equal(sum(n1,n23),n24)
      & equal(sum(n1,n24),n25)
      & equal(sum(n1,n25),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),n21)
      & equal(sum(n2,n20),n22)
      & equal(sum(n2,n21),n23)
      & equal(sum(n2,n22),n24)
      & equal(sum(n2,n23),n25)
      & equal(sum(n2,n24),n0)
      & equal(sum(n2,n25),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),n21)
      & equal(sum(n3,n19),n22)
      & equal(sum(n3,n20),n23)
      & equal(sum(n3,n21),n24)
      & equal(sum(n3,n22),n25)
      & equal(sum(n3,n23),n0)
      & equal(sum(n3,n24),n1)
      & equal(sum(n3,n25),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),n21)
      & equal(sum(n4,n18),n22)
      & equal(sum(n4,n19),n23)
      & equal(sum(n4,n20),n24)
      & equal(sum(n4,n21),n25)
      & equal(sum(n4,n22),n0)
      & equal(sum(n4,n23),n1)
      & equal(sum(n4,n24),n2)
      & equal(sum(n4,n25),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),n21)
      & equal(sum(n5,n17),n22)
      & equal(sum(n5,n18),n23)
      & equal(sum(n5,n19),n24)
      & equal(sum(n5,n20),n25)
      & equal(sum(n5,n21),n0)
      & equal(sum(n5,n22),n1)
      & equal(sum(n5,n23),n2)
      & equal(sum(n5,n24),n3)
      & equal(sum(n5,n25),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),n21)
      & equal(sum(n6,n16),n22)
      & equal(sum(n6,n17),n23)
      & equal(sum(n6,n18),n24)
      & equal(sum(n6,n19),n25)
      & equal(sum(n6,n20),n0)
      & equal(sum(n6,n21),n1)
      & equal(sum(n6,n22),n2)
      & equal(sum(n6,n23),n3)
      & equal(sum(n6,n24),n4)
      & equal(sum(n6,n25),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),n21)
      & equal(sum(n7,n15),n22)
      & equal(sum(n7,n16),n23)
      & equal(sum(n7,n17),n24)
      & equal(sum(n7,n18),n25)
      & equal(sum(n7,n19),n0)
      & equal(sum(n7,n20),n1)
      & equal(sum(n7,n21),n2)
      & equal(sum(n7,n22),n3)
      & equal(sum(n7,n23),n4)
      & equal(sum(n7,n24),n5)
      & equal(sum(n7,n25),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),n21)
      & equal(sum(n8,n14),n22)
      & equal(sum(n8,n15),n23)
      & equal(sum(n8,n16),n24)
      & equal(sum(n8,n17),n25)
      & equal(sum(n8,n18),n0)
      & equal(sum(n8,n19),n1)
      & equal(sum(n8,n20),n2)
      & equal(sum(n8,n21),n3)
      & equal(sum(n8,n22),n4)
      & equal(sum(n8,n23),n5)
      & equal(sum(n8,n24),n6)
      & equal(sum(n8,n25),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),n21)
      & equal(sum(n9,n13),n22)
      & equal(sum(n9,n14),n23)
      & equal(sum(n9,n15),n24)
      & equal(sum(n9,n16),n25)
      & equal(sum(n9,n17),n0)
      & equal(sum(n9,n18),n1)
      & equal(sum(n9,n19),n2)
      & equal(sum(n9,n20),n3)
      & equal(sum(n9,n21),n4)
      & equal(sum(n9,n22),n5)
      & equal(sum(n9,n23),n6)
      & equal(sum(n9,n24),n7)
      & equal(sum(n9,n25),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),n21)
      & equal(sum(n10,n12),n22)
      & equal(sum(n10,n13),n23)
      & equal(sum(n10,n14),n24)
      & equal(sum(n10,n15),n25)
      & equal(sum(n10,n16),n0)
      & equal(sum(n10,n17),n1)
      & equal(sum(n10,n18),n2)
      & equal(sum(n10,n19),n3)
      & equal(sum(n10,n20),n4)
      & equal(sum(n10,n21),n5)
      & equal(sum(n10,n22),n6)
      & equal(sum(n10,n23),n7)
      & equal(sum(n10,n24),n8)
      & equal(sum(n10,n25),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),n21)
      & equal(sum(n11,n11),n22)
      & equal(sum(n11,n12),n23)
      & equal(sum(n11,n13),n24)
      & equal(sum(n11,n14),n25)
      & equal(sum(n11,n15),n0)
      & equal(sum(n11,n16),n1)
      & equal(sum(n11,n17),n2)
      & equal(sum(n11,n18),n3)
      & equal(sum(n11,n19),n4)
      & equal(sum(n11,n20),n5)
      & equal(sum(n11,n21),n6)
      & equal(sum(n11,n22),n7)
      & equal(sum(n11,n23),n8)
      & equal(sum(n11,n24),n9)
      & equal(sum(n11,n25),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),n21)
      & equal(sum(n12,n10),n22)
      & equal(sum(n12,n11),n23)
      & equal(sum(n12,n12),n24)
      & equal(sum(n12,n13),n25)
      & equal(sum(n12,n14),n0)
      & equal(sum(n12,n15),n1)
      & equal(sum(n12,n16),n2)
      & equal(sum(n12,n17),n3)
      & equal(sum(n12,n18),n4)
      & equal(sum(n12,n19),n5)
      & equal(sum(n12,n20),n6)
      & equal(sum(n12,n21),n7)
      & equal(sum(n12,n22),n8)
      & equal(sum(n12,n23),n9)
      & equal(sum(n12,n24),n10)
      & equal(sum(n12,n25),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),n21)
      & equal(sum(n13,n9),n22)
      & equal(sum(n13,n10),n23)
      & equal(sum(n13,n11),n24)
      & equal(sum(n13,n12),n25)
      & equal(sum(n13,n13),n0)
      & equal(sum(n13,n14),n1)
      & equal(sum(n13,n15),n2)
      & equal(sum(n13,n16),n3)
      & equal(sum(n13,n17),n4)
      & equal(sum(n13,n18),n5)
      & equal(sum(n13,n19),n6)
      & equal(sum(n13,n20),n7)
      & equal(sum(n13,n21),n8)
      & equal(sum(n13,n22),n9)
      & equal(sum(n13,n23),n10)
      & equal(sum(n13,n24),n11)
      & equal(sum(n13,n25),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),n21)
      & equal(sum(n14,n8),n22)
      & equal(sum(n14,n9),n23)
      & equal(sum(n14,n10),n24)
      & equal(sum(n14,n11),n25)
      & equal(sum(n14,n12),n0)
      & equal(sum(n14,n13),n1)
      & equal(sum(n14,n14),n2)
      & equal(sum(n14,n15),n3)
      & equal(sum(n14,n16),n4)
      & equal(sum(n14,n17),n5)
      & equal(sum(n14,n18),n6)
      & equal(sum(n14,n19),n7)
      & equal(sum(n14,n20),n8)
      & equal(sum(n14,n21),n9)
      & equal(sum(n14,n22),n10)
      & equal(sum(n14,n23),n11)
      & equal(sum(n14,n24),n12)
      & equal(sum(n14,n25),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),n21)
      & equal(sum(n15,n7),n22)
      & equal(sum(n15,n8),n23)
      & equal(sum(n15,n9),n24)
      & equal(sum(n15,n10),n25)
      & equal(sum(n15,n11),n0)
      & equal(sum(n15,n12),n1)
      & equal(sum(n15,n13),n2)
      & equal(sum(n15,n14),n3)
      & equal(sum(n15,n15),n4)
      & equal(sum(n15,n16),n5)
      & equal(sum(n15,n17),n6)
      & equal(sum(n15,n18),n7)
      & equal(sum(n15,n19),n8)
      & equal(sum(n15,n20),n9)
      & equal(sum(n15,n21),n10)
      & equal(sum(n15,n22),n11)
      & equal(sum(n15,n23),n12)
      & equal(sum(n15,n24),n13)
      & equal(sum(n15,n25),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),n21)
      & equal(sum(n16,n6),n22)
      & equal(sum(n16,n7),n23)
      & equal(sum(n16,n8),n24)
      & equal(sum(n16,n9),n25)
      & equal(sum(n16,n10),n0)
      & equal(sum(n16,n11),n1)
      & equal(sum(n16,n12),n2)
      & equal(sum(n16,n13),n3)
      & equal(sum(n16,n14),n4)
      & equal(sum(n16,n15),n5)
      & equal(sum(n16,n16),n6)
      & equal(sum(n16,n17),n7)
      & equal(sum(n16,n18),n8)
      & equal(sum(n16,n19),n9)
      & equal(sum(n16,n20),n10)
      & equal(sum(n16,n21),n11)
      & equal(sum(n16,n22),n12)
      & equal(sum(n16,n23),n13)
      & equal(sum(n16,n24),n14)
      & equal(sum(n16,n25),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),n21)
      & equal(sum(n17,n5),n22)
      & equal(sum(n17,n6),n23)
      & equal(sum(n17,n7),n24)
      & equal(sum(n17,n8),n25)
      & equal(sum(n17,n9),n0)
      & equal(sum(n17,n10),n1)
      & equal(sum(n17,n11),n2)
      & equal(sum(n17,n12),n3)
      & equal(sum(n17,n13),n4)
      & equal(sum(n17,n14),n5)
      & equal(sum(n17,n15),n6)
      & equal(sum(n17,n16),n7)
      & equal(sum(n17,n17),n8)
      & equal(sum(n17,n18),n9)
      & equal(sum(n17,n19),n10)
      & equal(sum(n17,n20),n11)
      & equal(sum(n17,n21),n12)
      & equal(sum(n17,n22),n13)
      & equal(sum(n17,n23),n14)
      & equal(sum(n17,n24),n15)
      & equal(sum(n17,n25),n16)
      & equal(sum(n18,n0),n18)
      & equal(sum(n18,n1),n19)
      & equal(sum(n18,n2),n20)
      & equal(sum(n18,n3),n21)
      & equal(sum(n18,n4),n22)
      & equal(sum(n18,n5),n23)
      & equal(sum(n18,n6),n24)
      & equal(sum(n18,n7),n25)
      & equal(sum(n18,n8),n0)
      & equal(sum(n18,n9),n1)
      & equal(sum(n18,n10),n2)
      & equal(sum(n18,n11),n3)
      & equal(sum(n18,n12),n4)
      & equal(sum(n18,n13),n5)
      & equal(sum(n18,n14),n6)
      & equal(sum(n18,n15),n7)
      & equal(sum(n18,n16),n8)
      & equal(sum(n18,n17),n9)
      & equal(sum(n18,n18),n10)
      & equal(sum(n18,n19),n11)
      & equal(sum(n18,n20),n12)
      & equal(sum(n18,n21),n13)
      & equal(sum(n18,n22),n14)
      & equal(sum(n18,n23),n15)
      & equal(sum(n18,n24),n16)
      & equal(sum(n18,n25),n17)
      & equal(sum(n19,n0),n19)
      & equal(sum(n19,n1),n20)
      & equal(sum(n19,n2),n21)
      & equal(sum(n19,n3),n22)
      & equal(sum(n19,n4),n23)
      & equal(sum(n19,n5),n24)
      & equal(sum(n19,n6),n25)
      & equal(sum(n19,n7),n0)
      & equal(sum(n19,n8),n1)
      & equal(sum(n19,n9),n2)
      & equal(sum(n19,n10),n3)
      & equal(sum(n19,n11),n4)
      & equal(sum(n19,n12),n5)
      & equal(sum(n19,n13),n6)
      & equal(sum(n19,n14),n7)
      & equal(sum(n19,n15),n8)
      & equal(sum(n19,n16),n9)
      & equal(sum(n19,n17),n10)
      & equal(sum(n19,n18),n11)
      & equal(sum(n19,n19),n12)
      & equal(sum(n19,n20),n13)
      & equal(sum(n19,n21),n14)
      & equal(sum(n19,n22),n15)
      & equal(sum(n19,n23),n16)
      & equal(sum(n19,n24),n17)
      & equal(sum(n19,n25),n18)
      & equal(sum(n20,n0),n20)
      & equal(sum(n20,n1),n21)
      & equal(sum(n20,n2),n22)
      & equal(sum(n20,n3),n23)
      & equal(sum(n20,n4),n24)
      & equal(sum(n20,n5),n25)
      & equal(sum(n20,n6),n0)
      & equal(sum(n20,n7),n1)
      & equal(sum(n20,n8),n2)
      & equal(sum(n20,n9),n3)
      & equal(sum(n20,n10),n4)
      & equal(sum(n20,n11),n5)
      & equal(sum(n20,n12),n6)
      & equal(sum(n20,n13),n7)
      & equal(sum(n20,n14),n8)
      & equal(sum(n20,n15),n9)
      & equal(sum(n20,n16),n10)
      & equal(sum(n20,n17),n11)
      & equal(sum(n20,n18),n12)
      & equal(sum(n20,n19),n13)
      & equal(sum(n20,n20),n14)
      & equal(sum(n20,n21),n15)
      & equal(sum(n20,n22),n16)
      & equal(sum(n20,n23),n17)
      & equal(sum(n20,n24),n18)
      & equal(sum(n20,n25),n19)
      & equal(sum(n21,n0),n21)
      & equal(sum(n21,n1),n22)
      & equal(sum(n21,n2),n23)
      & equal(sum(n21,n3),n24)
      & equal(sum(n21,n4),n25)
      & equal(sum(n21,n5),n0)
      & equal(sum(n21,n6),n1)
      & equal(sum(n21,n7),n2)
      & equal(sum(n21,n8),n3)
      & equal(sum(n21,n9),n4)
      & equal(sum(n21,n10),n5)
      & equal(sum(n21,n11),n6)
      & equal(sum(n21,n12),n7)
      & equal(sum(n21,n13),n8)
      & equal(sum(n21,n14),n9)
      & equal(sum(n21,n15),n10)
      & equal(sum(n21,n16),n11)
      & equal(sum(n21,n17),n12)
      & equal(sum(n21,n18),n13)
      & equal(sum(n21,n19),n14)
      & equal(sum(n21,n20),n15)
      & equal(sum(n21,n21),n16)
      & equal(sum(n21,n22),n17)
      & equal(sum(n21,n23),n18)
      & equal(sum(n21,n24),n19)
      & equal(sum(n21,n25),n20)
      & equal(sum(n22,n0),n22)
      & equal(sum(n22,n1),n23)
      & equal(sum(n22,n2),n24)
      & equal(sum(n22,n3),n25)
      & equal(sum(n22,n4),n0)
      & equal(sum(n22,n5),n1)
      & equal(sum(n22,n6),n2)
      & equal(sum(n22,n7),n3)
      & equal(sum(n22,n8),n4)
      & equal(sum(n22,n9),n5)
      & equal(sum(n22,n10),n6)
      & equal(sum(n22,n11),n7)
      & equal(sum(n22,n12),n8)
      & equal(sum(n22,n13),n9)
      & equal(sum(n22,n14),n10)
      & equal(sum(n22,n15),n11)
      & equal(sum(n22,n16),n12)
      & equal(sum(n22,n17),n13)
      & equal(sum(n22,n18),n14)
      & equal(sum(n22,n19),n15)
      & equal(sum(n22,n20),n16)
      & equal(sum(n22,n21),n17)
      & equal(sum(n22,n22),n18)
      & equal(sum(n22,n23),n19)
      & equal(sum(n22,n24),n20)
      & equal(sum(n22,n25),n21)
      & equal(sum(n23,n0),n23)
      & equal(sum(n23,n1),n24)
      & equal(sum(n23,n2),n25)
      & equal(sum(n23,n3),n0)
      & equal(sum(n23,n4),n1)
      & equal(sum(n23,n5),n2)
      & equal(sum(n23,n6),n3)
      & equal(sum(n23,n7),n4)
      & equal(sum(n23,n8),n5)
      & equal(sum(n23,n9),n6)
      & equal(sum(n23,n10),n7)
      & equal(sum(n23,n11),n8)
      & equal(sum(n23,n12),n9)
      & equal(sum(n23,n13),n10)
      & equal(sum(n23,n14),n11)
      & equal(sum(n23,n15),n12)
      & equal(sum(n23,n16),n13)
      & equal(sum(n23,n17),n14)
      & equal(sum(n23,n18),n15)
      & equal(sum(n23,n19),n16)
      & equal(sum(n23,n20),n17)
      & equal(sum(n23,n21),n18)
      & equal(sum(n23,n22),n19)
      & equal(sum(n23,n23),n20)
      & equal(sum(n23,n24),n21)
      & equal(sum(n23,n25),n22)
      & equal(sum(n24,n0),n24)
      & equal(sum(n24,n1),n25)
      & equal(sum(n24,n2),n0)
      & equal(sum(n24,n3),n1)
      & equal(sum(n24,n4),n2)
      & equal(sum(n24,n5),n3)
      & equal(sum(n24,n6),n4)
      & equal(sum(n24,n7),n5)
      & equal(sum(n24,n8),n6)
      & equal(sum(n24,n9),n7)
      & equal(sum(n24,n10),n8)
      & equal(sum(n24,n11),n9)
      & equal(sum(n24,n12),n10)
      & equal(sum(n24,n13),n11)
      & equal(sum(n24,n14),n12)
      & equal(sum(n24,n15),n13)
      & equal(sum(n24,n16),n14)
      & equal(sum(n24,n17),n15)
      & equal(sum(n24,n18),n16)
      & equal(sum(n24,n19),n17)
      & equal(sum(n24,n20),n18)
      & equal(sum(n24,n21),n19)
      & equal(sum(n24,n22),n20)
      & equal(sum(n24,n23),n21)
      & equal(sum(n24,n24),n22)
      & equal(sum(n24,n25),n23)
      & equal(sum(n25,n0),n25)
      & equal(sum(n25,n1),n0)
      & equal(sum(n25,n2),n1)
      & equal(sum(n25,n3),n2)
      & equal(sum(n25,n4),n3)
      & equal(sum(n25,n5),n4)
      & equal(sum(n25,n6),n5)
      & equal(sum(n25,n7),n6)
      & equal(sum(n25,n8),n7)
      & equal(sum(n25,n9),n8)
      & equal(sum(n25,n10),n9)
      & equal(sum(n25,n11),n10)
      & equal(sum(n25,n12),n11)
      & equal(sum(n25,n13),n12)
      & equal(sum(n25,n14),n13)
      & equal(sum(n25,n15),n14)
      & equal(sum(n25,n16),n15)
      & equal(sum(n25,n17),n16)
      & equal(sum(n25,n18),n17)
      & equal(sum(n25,n19),n18)
      & equal(sum(n25,n20),n19)
      & equal(sum(n25,n21),n20)
      & equal(sum(n25,n22),n21)
      & equal(sum(n25,n23),n22)
      & equal(sum(n25,n24),n23)
      & equal(sum(n25,n25),n24)
      & ( 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(X1,n21)
        | equal(X1,n22)
        | equal(X1,n23)
        | equal(X1,n24)
        | equal(X1,n25) )
      & ( 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(X2,n21)
        | equal(X2,n22)
        | equal(X2,n23)
        | equal(X2,n24)
        | equal(X2,n25) )
      & ~ equal(sum(sum(pred(X1),succ(X2)),sum(pred(X2),succ(X1))),sum(sum(pred(X1),succ(X1)),sum(pred(X2),succ(X2))))
      & ~ equal(n0,n1)
      & ~ equal(n0,n2)
      & ~ equal(n0,n3)
      & ~ equal(n0,n4)
      & ~ equal(n0,n5)
      & ~ equal(n0,n6)
      & ~ equal(n0,n7)
      & ~ equal(n0,n8)
      & ~ equal(n0,n9)
      & ~ equal(n0,n10)
      & ~ equal(n0,n11)
      & ~ equal(n0,n12)
      & ~ equal(n0,n13)
      & ~ equal(n0,n14)
      & ~ equal(n0,n15)
      & ~ equal(n0,n16)
      & ~ equal(n0,n17)
      & ~ equal(n0,n18)
      & ~ equal(n0,n19)
      & ~ equal(n0,n20)
      & ~ equal(n0,n21)
      & ~ equal(n0,n22)
      & ~ equal(n0,n23)
      & ~ equal(n0,n24)
      & ~ equal(n0,n25)
      & ~ 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(n1,n21)
      & ~ equal(n1,n22)
      & ~ equal(n1,n23)
      & ~ equal(n1,n24)
      & ~ equal(n1,n25)
      & ~ 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(n2,n21)
      & ~ equal(n2,n22)
      & ~ equal(n2,n23)
      & ~ equal(n2,n24)
      & ~ equal(n2,n25)
      & ~ 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(n3,n21)
      & ~ equal(n3,n22)
      & ~ equal(n3,n23)
      & ~ equal(n3,n24)
      & ~ equal(n3,n25)
      & ~ 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(n4,n21)
      & ~ equal(n4,n22)
      & ~ equal(n4,n23)
      & ~ equal(n4,n24)
      & ~ equal(n4,n25)
      & ~ 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(n5,n21)
      & ~ equal(n5,n22)
      & ~ equal(n5,n23)
      & ~ equal(n5,n24)
      & ~ equal(n5,n25)
      & ~ 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(n6,n21)
      & ~ equal(n6,n22)
      & ~ equal(n6,n23)
      & ~ equal(n6,n24)
      & ~ equal(n6,n25)
      & ~ 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(n7,n21)
      & ~ equal(n7,n22)
      & ~ equal(n7,n23)
      & ~ equal(n7,n24)
      & ~ equal(n7,n25)
      & ~ 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(n8,n21)
      & ~ equal(n8,n22)
      & ~ equal(n8,n23)
      & ~ equal(n8,n24)
      & ~ equal(n8,n25)
      & ~ 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(n9,n21)
      & ~ equal(n9,n22)
      & ~ equal(n9,n23)
      & ~ equal(n9,n24)
      & ~ equal(n9,n25)
      & ~ 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(n10,n21)
      & ~ equal(n10,n22)
      & ~ equal(n10,n23)
      & ~ equal(n10,n24)
      & ~ equal(n10,n25)
      & ~ 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(n11,n21)
      & ~ equal(n11,n22)
      & ~ equal(n11,n23)
      & ~ equal(n11,n24)
      & ~ equal(n11,n25)
      & ~ 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(n12,n21)
      & ~ equal(n12,n22)
      & ~ equal(n12,n23)
      & ~ equal(n12,n24)
      & ~ equal(n12,n25)
      & ~ equal(n13,n14)
      & ~ equal(n13,n15)
      & ~ equal(n13,n16)
      & ~ equal(n13,n17)
      & ~ equal(n13,n18)
      & ~ equal(n13,n19)
      & ~ equal(n13,n20)
      & ~ equal(n13,n21)
      & ~ equal(n13,n22)
      & ~ equal(n13,n23)
      & ~ equal(n13,n24)
      & ~ equal(n13,n25)
      & ~ equal(n14,n15)
      & ~ equal(n14,n16)
      & ~ equal(n14,n17)
      & ~ equal(n14,n18)
      & ~ equal(n14,n19)
      & ~ equal(n14,n20)
      & ~ equal(n14,n21)
      & ~ equal(n14,n22)
      & ~ equal(n14,n23)
      & ~ equal(n14,n24)
      & ~ equal(n14,n25)
      & ~ equal(n15,n16)
      & ~ equal(n15,n17)
      & ~ equal(n15,n18)
      & ~ equal(n15,n19)
      & ~ equal(n15,n20)
      & ~ equal(n15,n21)
      & ~ equal(n15,n22)
      & ~ equal(n15,n23)
      & ~ equal(n15,n24)
      & ~ equal(n15,n25)
      & ~ equal(n16,n17)
      & ~ equal(n16,n18)
      & ~ equal(n16,n19)
      & ~ equal(n16,n20)
      & ~ equal(n16,n21)
      & ~ equal(n16,n22)
      & ~ equal(n16,n23)
      & ~ equal(n16,n24)
      & ~ equal(n16,n25)
      & ~ equal(n17,n18)
      & ~ equal(n17,n19)
      & ~ equal(n17,n20)
      & ~ equal(n17,n21)
      & ~ equal(n17,n22)
      & ~ equal(n17,n23)
      & ~ equal(n17,n24)
      & ~ equal(n17,n25)
      & ~ equal(n18,n19)
      & ~ equal(n18,n20)
      & ~ equal(n18,n21)
      & ~ equal(n18,n22)
      & ~ equal(n18,n23)
      & ~ equal(n18,n24)
      & ~ equal(n18,n25)
      & ~ equal(n19,n20)
      & ~ equal(n19,n21)
      & ~ equal(n19,n22)
      & ~ equal(n19,n23)
      & ~ equal(n19,n24)
      & ~ equal(n19,n25)
      & ~ equal(n20,n21)
      & ~ equal(n20,n22)
      & ~ equal(n20,n23)
      & ~ equal(n20,n24)
      & ~ equal(n20,n25)
      & ~ equal(n21,n22)
      & ~ equal(n21,n23)
      & ~ equal(n21,n24)
      & ~ equal(n21,n25)
      & ~ equal(n22,n23)
      & ~ equal(n22,n24)
      & ~ equal(n22,n25)
      & ~ equal(n23,n24)
      & ~ equal(n23,n25)
      & ~ equal(n24,n25) ),
    file('/export/starexec/sandbox2/tmp/tmpu575Oz/sel_theBenchmark.p_1',try_satisfy_this) ).

fof(2,plain,
    ? [X3,X4] :
      ( equal(succ(n0),n1)
      & equal(succ(n1),n2)
      & equal(succ(n2),n3)
      & equal(succ(n3),n4)
      & equal(succ(n4),n5)
      & equal(succ(n5),n6)
      & equal(succ(n6),n7)
      & equal(succ(n7),n8)
      & equal(succ(n8),n9)
      & equal(succ(n9),n10)
      & equal(succ(n10),n11)
      & equal(succ(n11),n12)
      & equal(succ(n12),n13)
      & equal(succ(n13),n14)
      & equal(succ(n14),n15)
      & equal(succ(n15),n16)
      & equal(succ(n16),n17)
      & equal(succ(n17),n18)
      & equal(succ(n18),n19)
      & equal(succ(n19),n20)
      & equal(succ(n20),n21)
      & equal(succ(n21),n22)
      & equal(succ(n22),n23)
      & equal(succ(n23),n24)
      & equal(succ(n24),n25)
      & equal(succ(n25),n0)
      & equal(pred(n0),n25)
      & 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(pred(n21),n20)
      & equal(pred(n22),n21)
      & equal(pred(n23),n22)
      & equal(pred(n24),n23)
      & equal(pred(n25),n24)
      & 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(n0,n21),n21)
      & equal(sum(n0,n22),n22)
      & equal(sum(n0,n23),n23)
      & equal(sum(n0,n24),n24)
      & equal(sum(n0,n25),n25)
      & 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),n21)
      & equal(sum(n1,n21),n22)
      & equal(sum(n1,n22),n23)
      & equal(sum(n1,n23),n24)
      & equal(sum(n1,n24),n25)
      & equal(sum(n1,n25),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),n21)
      & equal(sum(n2,n20),n22)
      & equal(sum(n2,n21),n23)
      & equal(sum(n2,n22),n24)
      & equal(sum(n2,n23),n25)
      & equal(sum(n2,n24),n0)
      & equal(sum(n2,n25),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),n21)
      & equal(sum(n3,n19),n22)
      & equal(sum(n3,n20),n23)
      & equal(sum(n3,n21),n24)
      & equal(sum(n3,n22),n25)
      & equal(sum(n3,n23),n0)
      & equal(sum(n3,n24),n1)
      & equal(sum(n3,n25),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),n21)
      & equal(sum(n4,n18),n22)
      & equal(sum(n4,n19),n23)
      & equal(sum(n4,n20),n24)
      & equal(sum(n4,n21),n25)
      & equal(sum(n4,n22),n0)
      & equal(sum(n4,n23),n1)
      & equal(sum(n4,n24),n2)
      & equal(sum(n4,n25),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),n21)
      & equal(sum(n5,n17),n22)
      & equal(sum(n5,n18),n23)
      & equal(sum(n5,n19),n24)
      & equal(sum(n5,n20),n25)
      & equal(sum(n5,n21),n0)
      & equal(sum(n5,n22),n1)
      & equal(sum(n5,n23),n2)
      & equal(sum(n5,n24),n3)
      & equal(sum(n5,n25),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),n21)
      & equal(sum(n6,n16),n22)
      & equal(sum(n6,n17),n23)
      & equal(sum(n6,n18),n24)
      & equal(sum(n6,n19),n25)
      & equal(sum(n6,n20),n0)
      & equal(sum(n6,n21),n1)
      & equal(sum(n6,n22),n2)
      & equal(sum(n6,n23),n3)
      & equal(sum(n6,n24),n4)
      & equal(sum(n6,n25),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),n21)
      & equal(sum(n7,n15),n22)
      & equal(sum(n7,n16),n23)
      & equal(sum(n7,n17),n24)
      & equal(sum(n7,n18),n25)
      & equal(sum(n7,n19),n0)
      & equal(sum(n7,n20),n1)
      & equal(sum(n7,n21),n2)
      & equal(sum(n7,n22),n3)
      & equal(sum(n7,n23),n4)
      & equal(sum(n7,n24),n5)
      & equal(sum(n7,n25),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),n21)
      & equal(sum(n8,n14),n22)
      & equal(sum(n8,n15),n23)
      & equal(sum(n8,n16),n24)
      & equal(sum(n8,n17),n25)
      & equal(sum(n8,n18),n0)
      & equal(sum(n8,n19),n1)
      & equal(sum(n8,n20),n2)
      & equal(sum(n8,n21),n3)
      & equal(sum(n8,n22),n4)
      & equal(sum(n8,n23),n5)
      & equal(sum(n8,n24),n6)
      & equal(sum(n8,n25),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),n21)
      & equal(sum(n9,n13),n22)
      & equal(sum(n9,n14),n23)
      & equal(sum(n9,n15),n24)
      & equal(sum(n9,n16),n25)
      & equal(sum(n9,n17),n0)
      & equal(sum(n9,n18),n1)
      & equal(sum(n9,n19),n2)
      & equal(sum(n9,n20),n3)
      & equal(sum(n9,n21),n4)
      & equal(sum(n9,n22),n5)
      & equal(sum(n9,n23),n6)
      & equal(sum(n9,n24),n7)
      & equal(sum(n9,n25),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),n21)
      & equal(sum(n10,n12),n22)
      & equal(sum(n10,n13),n23)
      & equal(sum(n10,n14),n24)
      & equal(sum(n10,n15),n25)
      & equal(sum(n10,n16),n0)
      & equal(sum(n10,n17),n1)
      & equal(sum(n10,n18),n2)
      & equal(sum(n10,n19),n3)
      & equal(sum(n10,n20),n4)
      & equal(sum(n10,n21),n5)
      & equal(sum(n10,n22),n6)
      & equal(sum(n10,n23),n7)
      & equal(sum(n10,n24),n8)
      & equal(sum(n10,n25),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),n21)
      & equal(sum(n11,n11),n22)
      & equal(sum(n11,n12),n23)
      & equal(sum(n11,n13),n24)
      & equal(sum(n11,n14),n25)
      & equal(sum(n11,n15),n0)
      & equal(sum(n11,n16),n1)
      & equal(sum(n11,n17),n2)
      & equal(sum(n11,n18),n3)
      & equal(sum(n11,n19),n4)
      & equal(sum(n11,n20),n5)
      & equal(sum(n11,n21),n6)
      & equal(sum(n11,n22),n7)
      & equal(sum(n11,n23),n8)
      & equal(sum(n11,n24),n9)
      & equal(sum(n11,n25),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),n21)
      & equal(sum(n12,n10),n22)
      & equal(sum(n12,n11),n23)
      & equal(sum(n12,n12),n24)
      & equal(sum(n12,n13),n25)
      & equal(sum(n12,n14),n0)
      & equal(sum(n12,n15),n1)
      & equal(sum(n12,n16),n2)
      & equal(sum(n12,n17),n3)
      & equal(sum(n12,n18),n4)
      & equal(sum(n12,n19),n5)
      & equal(sum(n12,n20),n6)
      & equal(sum(n12,n21),n7)
      & equal(sum(n12,n22),n8)
      & equal(sum(n12,n23),n9)
      & equal(sum(n12,n24),n10)
      & equal(sum(n12,n25),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),n21)
      & equal(sum(n13,n9),n22)
      & equal(sum(n13,n10),n23)
      & equal(sum(n13,n11),n24)
      & equal(sum(n13,n12),n25)
      & equal(sum(n13,n13),n0)
      & equal(sum(n13,n14),n1)
      & equal(sum(n13,n15),n2)
      & equal(sum(n13,n16),n3)
      & equal(sum(n13,n17),n4)
      & equal(sum(n13,n18),n5)
      & equal(sum(n13,n19),n6)
      & equal(sum(n13,n20),n7)
      & equal(sum(n13,n21),n8)
      & equal(sum(n13,n22),n9)
      & equal(sum(n13,n23),n10)
      & equal(sum(n13,n24),n11)
      & equal(sum(n13,n25),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),n21)
      & equal(sum(n14,n8),n22)
      & equal(sum(n14,n9),n23)
      & equal(sum(n14,n10),n24)
      & equal(sum(n14,n11),n25)
      & equal(sum(n14,n12),n0)
      & equal(sum(n14,n13),n1)
      & equal(sum(n14,n14),n2)
      & equal(sum(n14,n15),n3)
      & equal(sum(n14,n16),n4)
      & equal(sum(n14,n17),n5)
      & equal(sum(n14,n18),n6)
      & equal(sum(n14,n19),n7)
      & equal(sum(n14,n20),n8)
      & equal(sum(n14,n21),n9)
      & equal(sum(n14,n22),n10)
      & equal(sum(n14,n23),n11)
      & equal(sum(n14,n24),n12)
      & equal(sum(n14,n25),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),n21)
      & equal(sum(n15,n7),n22)
      & equal(sum(n15,n8),n23)
      & equal(sum(n15,n9),n24)
      & equal(sum(n15,n10),n25)
      & equal(sum(n15,n11),n0)
      & equal(sum(n15,n12),n1)
      & equal(sum(n15,n13),n2)
      & equal(sum(n15,n14),n3)
      & equal(sum(n15,n15),n4)
      & equal(sum(n15,n16),n5)
      & equal(sum(n15,n17),n6)
      & equal(sum(n15,n18),n7)
      & equal(sum(n15,n19),n8)
      & equal(sum(n15,n20),n9)
      & equal(sum(n15,n21),n10)
      & equal(sum(n15,n22),n11)
      & equal(sum(n15,n23),n12)
      & equal(sum(n15,n24),n13)
      & equal(sum(n15,n25),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),n21)
      & equal(sum(n16,n6),n22)
      & equal(sum(n16,n7),n23)
      & equal(sum(n16,n8),n24)
      & equal(sum(n16,n9),n25)
      & equal(sum(n16,n10),n0)
      & equal(sum(n16,n11),n1)
      & equal(sum(n16,n12),n2)
      & equal(sum(n16,n13),n3)
      & equal(sum(n16,n14),n4)
      & equal(sum(n16,n15),n5)
      & equal(sum(n16,n16),n6)
      & equal(sum(n16,n17),n7)
      & equal(sum(n16,n18),n8)
      & equal(sum(n16,n19),n9)
      & equal(sum(n16,n20),n10)
      & equal(sum(n16,n21),n11)
      & equal(sum(n16,n22),n12)
      & equal(sum(n16,n23),n13)
      & equal(sum(n16,n24),n14)
      & equal(sum(n16,n25),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),n21)
      & equal(sum(n17,n5),n22)
      & equal(sum(n17,n6),n23)
      & equal(sum(n17,n7),n24)
      & equal(sum(n17,n8),n25)
      & equal(sum(n17,n9),n0)
      & equal(sum(n17,n10),n1)
      & equal(sum(n17,n11),n2)
      & equal(sum(n17,n12),n3)
      & equal(sum(n17,n13),n4)
      & equal(sum(n17,n14),n5)
      & equal(sum(n17,n15),n6)
      & equal(sum(n17,n16),n7)
      & equal(sum(n17,n17),n8)
      & equal(sum(n17,n18),n9)
      & equal(sum(n17,n19),n10)
      & equal(sum(n17,n20),n11)
      & equal(sum(n17,n21),n12)
      & equal(sum(n17,n22),n13)
      & equal(sum(n17,n23),n14)
      & equal(sum(n17,n24),n15)
      & equal(sum(n17,n25),n16)
      & equal(sum(n18,n0),n18)
      & equal(sum(n18,n1),n19)
      & equal(sum(n18,n2),n20)
      & equal(sum(n18,n3),n21)
      & equal(sum(n18,n4),n22)
      & equal(sum(n18,n5),n23)
      & equal(sum(n18,n6),n24)
      & equal(sum(n18,n7),n25)
      & equal(sum(n18,n8),n0)
      & equal(sum(n18,n9),n1)
      & equal(sum(n18,n10),n2)
      & equal(sum(n18,n11),n3)
      & equal(sum(n18,n12),n4)
      & equal(sum(n18,n13),n5)
      & equal(sum(n18,n14),n6)
      & equal(sum(n18,n15),n7)
      & equal(sum(n18,n16),n8)
      & equal(sum(n18,n17),n9)
      & equal(sum(n18,n18),n10)
      & equal(sum(n18,n19),n11)
      & equal(sum(n18,n20),n12)
      & equal(sum(n18,n21),n13)
      & equal(sum(n18,n22),n14)
      & equal(sum(n18,n23),n15)
      & equal(sum(n18,n24),n16)
      & equal(sum(n18,n25),n17)
      & equal(sum(n19,n0),n19)
      & equal(sum(n19,n1),n20)
      & equal(sum(n19,n2),n21)
      & equal(sum(n19,n3),n22)
      & equal(sum(n19,n4),n23)
      & equal(sum(n19,n5),n24)
      & equal(sum(n19,n6),n25)
      & equal(sum(n19,n7),n0)
      & equal(sum(n19,n8),n1)
      & equal(sum(n19,n9),n2)
      & equal(sum(n19,n10),n3)
      & equal(sum(n19,n11),n4)
      & equal(sum(n19,n12),n5)
      & equal(sum(n19,n13),n6)
      & equal(sum(n19,n14),n7)
      & equal(sum(n19,n15),n8)
      & equal(sum(n19,n16),n9)
      & equal(sum(n19,n17),n10)
      & equal(sum(n19,n18),n11)
      & equal(sum(n19,n19),n12)
      & equal(sum(n19,n20),n13)
      & equal(sum(n19,n21),n14)
      & equal(sum(n19,n22),n15)
      & equal(sum(n19,n23),n16)
      & equal(sum(n19,n24),n17)
      & equal(sum(n19,n25),n18)
      & equal(sum(n20,n0),n20)
      & equal(sum(n20,n1),n21)
      & equal(sum(n20,n2),n22)
      & equal(sum(n20,n3),n23)
      & equal(sum(n20,n4),n24)
      & equal(sum(n20,n5),n25)
      & equal(sum(n20,n6),n0)
      & equal(sum(n20,n7),n1)
      & equal(sum(n20,n8),n2)
      & equal(sum(n20,n9),n3)
      & equal(sum(n20,n10),n4)
      & equal(sum(n20,n11),n5)
      & equal(sum(n20,n12),n6)
      & equal(sum(n20,n13),n7)
      & equal(sum(n20,n14),n8)
      & equal(sum(n20,n15),n9)
      & equal(sum(n20,n16),n10)
      & equal(sum(n20,n17),n11)
      & equal(sum(n20,n18),n12)
      & equal(sum(n20,n19),n13)
      & equal(sum(n20,n20),n14)
      & equal(sum(n20,n21),n15)
      & equal(sum(n20,n22),n16)
      & equal(sum(n20,n23),n17)
      & equal(sum(n20,n24),n18)
      & equal(sum(n20,n25),n19)
      & equal(sum(n21,n0),n21)
      & equal(sum(n21,n1),n22)
      & equal(sum(n21,n2),n23)
      & equal(sum(n21,n3),n24)
      & equal(sum(n21,n4),n25)
      & equal(sum(n21,n5),n0)
      & equal(sum(n21,n6),n1)
      & equal(sum(n21,n7),n2)
      & equal(sum(n21,n8),n3)
      & equal(sum(n21,n9),n4)
      & equal(sum(n21,n10),n5)
      & equal(sum(n21,n11),n6)
      & equal(sum(n21,n12),n7)
      & equal(sum(n21,n13),n8)
      & equal(sum(n21,n14),n9)
      & equal(sum(n21,n15),n10)
      & equal(sum(n21,n16),n11)
      & equal(sum(n21,n17),n12)
      & equal(sum(n21,n18),n13)
      & equal(sum(n21,n19),n14)
      & equal(sum(n21,n20),n15)
      & equal(sum(n21,n21),n16)
      & equal(sum(n21,n22),n17)
      & equal(sum(n21,n23),n18)
      & equal(sum(n21,n24),n19)
      & equal(sum(n21,n25),n20)
      & equal(sum(n22,n0),n22)
      & equal(sum(n22,n1),n23)
      & equal(sum(n22,n2),n24)
      & equal(sum(n22,n3),n25)
      & equal(sum(n22,n4),n0)
      & equal(sum(n22,n5),n1)
      & equal(sum(n22,n6),n2)
      & equal(sum(n22,n7),n3)
      & equal(sum(n22,n8),n4)
      & equal(sum(n22,n9),n5)
      & equal(sum(n22,n10),n6)
      & equal(sum(n22,n11),n7)
      & equal(sum(n22,n12),n8)
      & equal(sum(n22,n13),n9)
      & equal(sum(n22,n14),n10)
      & equal(sum(n22,n15),n11)
      & equal(sum(n22,n16),n12)
      & equal(sum(n22,n17),n13)
      & equal(sum(n22,n18),n14)
      & equal(sum(n22,n19),n15)
      & equal(sum(n22,n20),n16)
      & equal(sum(n22,n21),n17)
      & equal(sum(n22,n22),n18)
      & equal(sum(n22,n23),n19)
      & equal(sum(n22,n24),n20)
      & equal(sum(n22,n25),n21)
      & equal(sum(n23,n0),n23)
      & equal(sum(n23,n1),n24)
      & equal(sum(n23,n2),n25)
      & equal(sum(n23,n3),n0)
      & equal(sum(n23,n4),n1)
      & equal(sum(n23,n5),n2)
      & equal(sum(n23,n6),n3)
      & equal(sum(n23,n7),n4)
      & equal(sum(n23,n8),n5)
      & equal(sum(n23,n9),n6)
      & equal(sum(n23,n10),n7)
      & equal(sum(n23,n11),n8)
      & equal(sum(n23,n12),n9)
      & equal(sum(n23,n13),n10)
      & equal(sum(n23,n14),n11)
      & equal(sum(n23,n15),n12)
      & equal(sum(n23,n16),n13)
      & equal(sum(n23,n17),n14)
      & equal(sum(n23,n18),n15)
      & equal(sum(n23,n19),n16)
      & equal(sum(n23,n20),n17)
      & equal(sum(n23,n21),n18)
      & equal(sum(n23,n22),n19)
      & equal(sum(n23,n23),n20)
      & equal(sum(n23,n24),n21)
      & equal(sum(n23,n25),n22)
      & equal(sum(n24,n0),n24)
      & equal(sum(n24,n1),n25)
      & equal(sum(n24,n2),n0)
      & equal(sum(n24,n3),n1)
      & equal(sum(n24,n4),n2)
      & equal(sum(n24,n5),n3)
      & equal(sum(n24,n6),n4)
      & equal(sum(n24,n7),n5)
      & equal(sum(n24,n8),n6)
      & equal(sum(n24,n9),n7)
      & equal(sum(n24,n10),n8)
      & equal(sum(n24,n11),n9)
      & equal(sum(n24,n12),n10)
      & equal(sum(n24,n13),n11)
      & equal(sum(n24,n14),n12)
      & equal(sum(n24,n15),n13)
      & equal(sum(n24,n16),n14)
      & equal(sum(n24,n17),n15)
      & equal(sum(n24,n18),n16)
      & equal(sum(n24,n19),n17)
      & equal(sum(n24,n20),n18)
      & equal(sum(n24,n21),n19)
      & equal(sum(n24,n22),n20)
      & equal(sum(n24,n23),n21)
      & equal(sum(n24,n24),n22)
      & equal(sum(n24,n25),n23)
      & equal(sum(n25,n0),n25)
      & equal(sum(n25,n1),n0)
      & equal(sum(n25,n2),n1)
      & equal(sum(n25,n3),n2)
      & equal(sum(n25,n4),n3)
      & equal(sum(n25,n5),n4)
      & equal(sum(n25,n6),n5)
      & equal(sum(n25,n7),n6)
      & equal(sum(n25,n8),n7)
      & equal(sum(n25,n9),n8)
      & equal(sum(n25,n10),n9)
      & equal(sum(n25,n11),n10)
      & equal(sum(n25,n12),n11)
      & equal(sum(n25,n13),n12)
      & equal(sum(n25,n14),n13)
      & equal(sum(n25,n15),n14)
      & equal(sum(n25,n16),n15)
      & equal(sum(n25,n17),n16)
      & equal(sum(n25,n18),n17)
      & equal(sum(n25,n19),n18)
      & equal(sum(n25,n20),n19)
      & equal(sum(n25,n21),n20)
      & equal(sum(n25,n22),n21)
      & equal(sum(n25,n23),n22)
      & equal(sum(n25,n24),n23)
      & equal(sum(n25,n25),n24)
      & ( 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(X3,n21)
        | equal(X3,n22)
        | equal(X3,n23)
        | equal(X3,n24)
        | equal(X3,n25) )
      & ( 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(X4,n21)
        | equal(X4,n22)
        | equal(X4,n23)
        | equal(X4,n24)
        | equal(X4,n25) )
      & ~ equal(sum(sum(pred(X3),succ(X4)),sum(pred(X4),succ(X3))),sum(sum(pred(X3),succ(X3)),sum(pred(X4),succ(X4))))
      & ~ equal(n0,n1)
      & ~ equal(n0,n2)
      & ~ equal(n0,n3)
      & ~ equal(n0,n4)
      & ~ equal(n0,n5)
      & ~ equal(n0,n6)
      & ~ equal(n0,n7)
      & ~ equal(n0,n8)
      & ~ equal(n0,n9)
      & ~ equal(n0,n10)
      & ~ equal(n0,n11)
      & ~ equal(n0,n12)
      & ~ equal(n0,n13)
      & ~ equal(n0,n14)
      & ~ equal(n0,n15)
      & ~ equal(n0,n16)
      & ~ equal(n0,n17)
      & ~ equal(n0,n18)
      & ~ equal(n0,n19)
      & ~ equal(n0,n20)
      & ~ equal(n0,n21)
      & ~ equal(n0,n22)
      & ~ equal(n0,n23)
      & ~ equal(n0,n24)
      & ~ equal(n0,n25)
      & ~ 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(n1,n21)
      & ~ equal(n1,n22)
      & ~ equal(n1,n23)
      & ~ equal(n1,n24)
      & ~ equal(n1,n25)
      & ~ 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(n2,n21)
      & ~ equal(n2,n22)
      & ~ equal(n2,n23)
      & ~ equal(n2,n24)
      & ~ equal(n2,n25)
      & ~ 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(n3,n21)
      & ~ equal(n3,n22)
      & ~ equal(n3,n23)
      & ~ equal(n3,n24)
      & ~ equal(n3,n25)
      & ~ 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(n4,n21)
      & ~ equal(n4,n22)
      & ~ equal(n4,n23)
      & ~ equal(n4,n24)
      & ~ equal(n4,n25)
      & ~ 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(n5,n21)
      & ~ equal(n5,n22)
      & ~ equal(n5,n23)
      & ~ equal(n5,n24)
      & ~ equal(n5,n25)
      & ~ 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(n6,n21)
      & ~ equal(n6,n22)
      & ~ equal(n6,n23)
      & ~ equal(n6,n24)
      & ~ equal(n6,n25)
      & ~ 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(n7,n21)
      & ~ equal(n7,n22)
      & ~ equal(n7,n23)
      & ~ equal(n7,n24)
      & ~ equal(n7,n25)
      & ~ 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(n8,n21)
      & ~ equal(n8,n22)
      & ~ equal(n8,n23)
      & ~ equal(n8,n24)
      & ~ equal(n8,n25)
      & ~ 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(n9,n21)
      & ~ equal(n9,n22)
      & ~ equal(n9,n23)
      & ~ equal(n9,n24)
      & ~ equal(n9,n25)
      & ~ 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(n10,n21)
      & ~ equal(n10,n22)
      & ~ equal(n10,n23)
      & ~ equal(n10,n24)
      & ~ equal(n10,n25)
      & ~ 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(n11,n21)
      & ~ equal(n11,n22)
      & ~ equal(n11,n23)
      & ~ equal(n11,n24)
      & ~ equal(n11,n25)
      & ~ 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(n12,n21)
      & ~ equal(n12,n22)
      & ~ equal(n12,n23)
      & ~ equal(n12,n24)
      & ~ equal(n12,n25)
      & ~ equal(n13,n14)
      & ~ equal(n13,n15)
      & ~ equal(n13,n16)
      & ~ equal(n13,n17)
      & ~ equal(n13,n18)
      & ~ equal(n13,n19)
      & ~ equal(n13,n20)
      & ~ equal(n13,n21)
      & ~ equal(n13,n22)
      & ~ equal(n13,n23)
      & ~ equal(n13,n24)
      & ~ equal(n13,n25)
      & ~ equal(n14,n15)
      & ~ equal(n14,n16)
      & ~ equal(n14,n17)
      & ~ equal(n14,n18)
      & ~ equal(n14,n19)
      & ~ equal(n14,n20)
      & ~ equal(n14,n21)
      & ~ equal(n14,n22)
      & ~ equal(n14,n23)
      & ~ equal(n14,n24)
      & ~ equal(n14,n25)
      & ~ equal(n15,n16)
      & ~ equal(n15,n17)
      & ~ equal(n15,n18)
      & ~ equal(n15,n19)
      & ~ equal(n15,n20)
      & ~ equal(n15,n21)
      & ~ equal(n15,n22)
      & ~ equal(n15,n23)
      & ~ equal(n15,n24)
      & ~ equal(n15,n25)
      & ~ equal(n16,n17)
      & ~ equal(n16,n18)
      & ~ equal(n16,n19)
      & ~ equal(n16,n20)
      & ~ equal(n16,n21)
      & ~ equal(n16,n22)
      & ~ equal(n16,n23)
      & ~ equal(n16,n24)
      & ~ equal(n16,n25)
      & ~ equal(n17,n18)
      & ~ equal(n17,n19)
      & ~ equal(n17,n20)
      & ~ equal(n17,n21)
      & ~ equal(n17,n22)
      & ~ equal(n17,n23)
      & ~ equal(n17,n24)
      & ~ equal(n17,n25)
      & ~ equal(n18,n19)
      & ~ equal(n18,n20)
      & ~ equal(n18,n21)
      & ~ equal(n18,n22)
      & ~ equal(n18,n23)
      & ~ equal(n18,n24)
      & ~ equal(n18,n25)
      & ~ equal(n19,n20)
      & ~ equal(n19,n21)
      & ~ equal(n19,n22)
      & ~ equal(n19,n23)
      & ~ equal(n19,n24)
      & ~ equal(n19,n25)
      & ~ equal(n20,n21)
      & ~ equal(n20,n22)
      & ~ equal(n20,n23)
      & ~ equal(n20,n24)
      & ~ equal(n20,n25)
      & ~ equal(n21,n22)
      & ~ equal(n21,n23)
      & ~ equal(n21,n24)
      & ~ equal(n21,n25)
      & ~ equal(n22,n23)
      & ~ equal(n22,n24)
      & ~ equal(n22,n25)
      & ~ equal(n23,n24)
      & ~ equal(n23,n25)
      & ~ equal(n24,n25) ),
    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),n21)
    & equal(succ(n21),n22)
    & equal(succ(n22),n23)
    & equal(succ(n23),n24)
    & equal(succ(n24),n25)
    & equal(succ(n25),n0)
    & equal(pred(n0),n25)
    & 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(pred(n21),n20)
    & equal(pred(n22),n21)
    & equal(pred(n23),n22)
    & equal(pred(n24),n23)
    & equal(pred(n25),n24)
    & 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(n0,n21),n21)
    & equal(sum(n0,n22),n22)
    & equal(sum(n0,n23),n23)
    & equal(sum(n0,n24),n24)
    & equal(sum(n0,n25),n25)
    & 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),n21)
    & equal(sum(n1,n21),n22)
    & equal(sum(n1,n22),n23)
    & equal(sum(n1,n23),n24)
    & equal(sum(n1,n24),n25)
    & equal(sum(n1,n25),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),n21)
    & equal(sum(n2,n20),n22)
    & equal(sum(n2,n21),n23)
    & equal(sum(n2,n22),n24)
    & equal(sum(n2,n23),n25)
    & equal(sum(n2,n24),n0)
    & equal(sum(n2,n25),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),n21)
    & equal(sum(n3,n19),n22)
    & equal(sum(n3,n20),n23)
    & equal(sum(n3,n21),n24)
    & equal(sum(n3,n22),n25)
    & equal(sum(n3,n23),n0)
    & equal(sum(n3,n24),n1)
    & equal(sum(n3,n25),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),n21)
    & equal(sum(n4,n18),n22)
    & equal(sum(n4,n19),n23)
    & equal(sum(n4,n20),n24)
    & equal(sum(n4,n21),n25)
    & equal(sum(n4,n22),n0)
    & equal(sum(n4,n23),n1)
    & equal(sum(n4,n24),n2)
    & equal(sum(n4,n25),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),n21)
    & equal(sum(n5,n17),n22)
    & equal(sum(n5,n18),n23)
    & equal(sum(n5,n19),n24)
    & equal(sum(n5,n20),n25)
    & equal(sum(n5,n21),n0)
    & equal(sum(n5,n22),n1)
    & equal(sum(n5,n23),n2)
    & equal(sum(n5,n24),n3)
    & equal(sum(n5,n25),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),n21)
    & equal(sum(n6,n16),n22)
    & equal(sum(n6,n17),n23)
    & equal(sum(n6,n18),n24)
    & equal(sum(n6,n19),n25)
    & equal(sum(n6,n20),n0)
    & equal(sum(n6,n21),n1)
    & equal(sum(n6,n22),n2)
    & equal(sum(n6,n23),n3)
    & equal(sum(n6,n24),n4)
    & equal(sum(n6,n25),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),n21)
    & equal(sum(n7,n15),n22)
    & equal(sum(n7,n16),n23)
    & equal(sum(n7,n17),n24)
    & equal(sum(n7,n18),n25)
    & equal(sum(n7,n19),n0)
    & equal(sum(n7,n20),n1)
    & equal(sum(n7,n21),n2)
    & equal(sum(n7,n22),n3)
    & equal(sum(n7,n23),n4)
    & equal(sum(n7,n24),n5)
    & equal(sum(n7,n25),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),n21)
    & equal(sum(n8,n14),n22)
    & equal(sum(n8,n15),n23)
    & equal(sum(n8,n16),n24)
    & equal(sum(n8,n17),n25)
    & equal(sum(n8,n18),n0)
    & equal(sum(n8,n19),n1)
    & equal(sum(n8,n20),n2)
    & equal(sum(n8,n21),n3)
    & equal(sum(n8,n22),n4)
    & equal(sum(n8,n23),n5)
    & equal(sum(n8,n24),n6)
    & equal(sum(n8,n25),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),n21)
    & equal(sum(n9,n13),n22)
    & equal(sum(n9,n14),n23)
    & equal(sum(n9,n15),n24)
    & equal(sum(n9,n16),n25)
    & equal(sum(n9,n17),n0)
    & equal(sum(n9,n18),n1)
    & equal(sum(n9,n19),n2)
    & equal(sum(n9,n20),n3)
    & equal(sum(n9,n21),n4)
    & equal(sum(n9,n22),n5)
    & equal(sum(n9,n23),n6)
    & equal(sum(n9,n24),n7)
    & equal(sum(n9,n25),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),n21)
    & equal(sum(n10,n12),n22)
    & equal(sum(n10,n13),n23)
    & equal(sum(n10,n14),n24)
    & equal(sum(n10,n15),n25)
    & equal(sum(n10,n16),n0)
    & equal(sum(n10,n17),n1)
    & equal(sum(n10,n18),n2)
    & equal(sum(n10,n19),n3)
    & equal(sum(n10,n20),n4)
    & equal(sum(n10,n21),n5)
    & equal(sum(n10,n22),n6)
    & equal(sum(n10,n23),n7)
    & equal(sum(n10,n24),n8)
    & equal(sum(n10,n25),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),n21)
    & equal(sum(n11,n11),n22)
    & equal(sum(n11,n12),n23)
    & equal(sum(n11,n13),n24)
    & equal(sum(n11,n14),n25)
    & equal(sum(n11,n15),n0)
    & equal(sum(n11,n16),n1)
    & equal(sum(n11,n17),n2)
    & equal(sum(n11,n18),n3)
    & equal(sum(n11,n19),n4)
    & equal(sum(n11,n20),n5)
    & equal(sum(n11,n21),n6)
    & equal(sum(n11,n22),n7)
    & equal(sum(n11,n23),n8)
    & equal(sum(n11,n24),n9)
    & equal(sum(n11,n25),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),n21)
    & equal(sum(n12,n10),n22)
    & equal(sum(n12,n11),n23)
    & equal(sum(n12,n12),n24)
    & equal(sum(n12,n13),n25)
    & equal(sum(n12,n14),n0)
    & equal(sum(n12,n15),n1)
    & equal(sum(n12,n16),n2)
    & equal(sum(n12,n17),n3)
    & equal(sum(n12,n18),n4)
    & equal(sum(n12,n19),n5)
    & equal(sum(n12,n20),n6)
    & equal(sum(n12,n21),n7)
    & equal(sum(n12,n22),n8)
    & equal(sum(n12,n23),n9)
    & equal(sum(n12,n24),n10)
    & equal(sum(n12,n25),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),n21)
    & equal(sum(n13,n9),n22)
    & equal(sum(n13,n10),n23)
    & equal(sum(n13,n11),n24)
    & equal(sum(n13,n12),n25)
    & equal(sum(n13,n13),n0)
    & equal(sum(n13,n14),n1)
    & equal(sum(n13,n15),n2)
    & equal(sum(n13,n16),n3)
    & equal(sum(n13,n17),n4)
    & equal(sum(n13,n18),n5)
    & equal(sum(n13,n19),n6)
    & equal(sum(n13,n20),n7)
    & equal(sum(n13,n21),n8)
    & equal(sum(n13,n22),n9)
    & equal(sum(n13,n23),n10)
    & equal(sum(n13,n24),n11)
    & equal(sum(n13,n25),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),n21)
    & equal(sum(n14,n8),n22)
    & equal(sum(n14,n9),n23)
    & equal(sum(n14,n10),n24)
    & equal(sum(n14,n11),n25)
    & equal(sum(n14,n12),n0)
    & equal(sum(n14,n13),n1)
    & equal(sum(n14,n14),n2)
    & equal(sum(n14,n15),n3)
    & equal(sum(n14,n16),n4)
    & equal(sum(n14,n17),n5)
    & equal(sum(n14,n18),n6)
    & equal(sum(n14,n19),n7)
    & equal(sum(n14,n20),n8)
    & equal(sum(n14,n21),n9)
    & equal(sum(n14,n22),n10)
    & equal(sum(n14,n23),n11)
    & equal(sum(n14,n24),n12)
    & equal(sum(n14,n25),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),n21)
    & equal(sum(n15,n7),n22)
    & equal(sum(n15,n8),n23)
    & equal(sum(n15,n9),n24)
    & equal(sum(n15,n10),n25)
    & equal(sum(n15,n11),n0)
    & equal(sum(n15,n12),n1)
    & equal(sum(n15,n13),n2)
    & equal(sum(n15,n14),n3)
    & equal(sum(n15,n15),n4)
    & equal(sum(n15,n16),n5)
    & equal(sum(n15,n17),n6)
    & equal(sum(n15,n18),n7)
    & equal(sum(n15,n19),n8)
    & equal(sum(n15,n20),n9)
    & equal(sum(n15,n21),n10)
    & equal(sum(n15,n22),n11)
    & equal(sum(n15,n23),n12)
    & equal(sum(n15,n24),n13)
    & equal(sum(n15,n25),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),n21)
    & equal(sum(n16,n6),n22)
    & equal(sum(n16,n7),n23)
    & equal(sum(n16,n8),n24)
    & equal(sum(n16,n9),n25)
    & equal(sum(n16,n10),n0)
    & equal(sum(n16,n11),n1)
    & equal(sum(n16,n12),n2)
    & equal(sum(n16,n13),n3)
    & equal(sum(n16,n14),n4)
    & equal(sum(n16,n15),n5)
    & equal(sum(n16,n16),n6)
    & equal(sum(n16,n17),n7)
    & equal(sum(n16,n18),n8)
    & equal(sum(n16,n19),n9)
    & equal(sum(n16,n20),n10)
    & equal(sum(n16,n21),n11)
    & equal(sum(n16,n22),n12)
    & equal(sum(n16,n23),n13)
    & equal(sum(n16,n24),n14)
    & equal(sum(n16,n25),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),n21)
    & equal(sum(n17,n5),n22)
    & equal(sum(n17,n6),n23)
    & equal(sum(n17,n7),n24)
    & equal(sum(n17,n8),n25)
    & equal(sum(n17,n9),n0)
    & equal(sum(n17,n10),n1)
    & equal(sum(n17,n11),n2)
    & equal(sum(n17,n12),n3)
    & equal(sum(n17,n13),n4)
    & equal(sum(n17,n14),n5)
    & equal(sum(n17,n15),n6)
    & equal(sum(n17,n16),n7)
    & equal(sum(n17,n17),n8)
    & equal(sum(n17,n18),n9)
    & equal(sum(n17,n19),n10)
    & equal(sum(n17,n20),n11)
    & equal(sum(n17,n21),n12)
    & equal(sum(n17,n22),n13)
    & equal(sum(n17,n23),n14)
    & equal(sum(n17,n24),n15)
    & equal(sum(n17,n25),n16)
    & equal(sum(n18,n0),n18)
    & equal(sum(n18,n1),n19)
    & equal(sum(n18,n2),n20)
    & equal(sum(n18,n3),n21)
    & equal(sum(n18,n4),n22)
    & equal(sum(n18,n5),n23)
    & equal(sum(n18,n6),n24)
    & equal(sum(n18,n7),n25)
    & equal(sum(n18,n8),n0)
    & equal(sum(n18,n9),n1)
    & equal(sum(n18,n10),n2)
    & equal(sum(n18,n11),n3)
    & equal(sum(n18,n12),n4)
    & equal(sum(n18,n13),n5)
    & equal(sum(n18,n14),n6)
    & equal(sum(n18,n15),n7)
    & equal(sum(n18,n16),n8)
    & equal(sum(n18,n17),n9)
    & equal(sum(n18,n18),n10)
    & equal(sum(n18,n19),n11)
    & equal(sum(n18,n20),n12)
    & equal(sum(n18,n21),n13)
    & equal(sum(n18,n22),n14)
    & equal(sum(n18,n23),n15)
    & equal(sum(n18,n24),n16)
    & equal(sum(n18,n25),n17)
    & equal(sum(n19,n0),n19)
    & equal(sum(n19,n1),n20)
    & equal(sum(n19,n2),n21)
    & equal(sum(n19,n3),n22)
    & equal(sum(n19,n4),n23)
    & equal(sum(n19,n5),n24)
    & equal(sum(n19,n6),n25)
    & equal(sum(n19,n7),n0)
    & equal(sum(n19,n8),n1)
    & equal(sum(n19,n9),n2)
    & equal(sum(n19,n10),n3)
    & equal(sum(n19,n11),n4)
    & equal(sum(n19,n12),n5)
    & equal(sum(n19,n13),n6)
    & equal(sum(n19,n14),n7)
    & equal(sum(n19,n15),n8)
    & equal(sum(n19,n16),n9)
    & equal(sum(n19,n17),n10)
    & equal(sum(n19,n18),n11)
    & equal(sum(n19,n19),n12)
    & equal(sum(n19,n20),n13)
    & equal(sum(n19,n21),n14)
    & equal(sum(n19,n22),n15)
    & equal(sum(n19,n23),n16)
    & equal(sum(n19,n24),n17)
    & equal(sum(n19,n25),n18)
    & equal(sum(n20,n0),n20)
    & equal(sum(n20,n1),n21)
    & equal(sum(n20,n2),n22)
    & equal(sum(n20,n3),n23)
    & equal(sum(n20,n4),n24)
    & equal(sum(n20,n5),n25)
    & equal(sum(n20,n6),n0)
    & equal(sum(n20,n7),n1)
    & equal(sum(n20,n8),n2)
    & equal(sum(n20,n9),n3)
    & equal(sum(n20,n10),n4)
    & equal(sum(n20,n11),n5)
    & equal(sum(n20,n12),n6)
    & equal(sum(n20,n13),n7)
    & equal(sum(n20,n14),n8)
    & equal(sum(n20,n15),n9)
    & equal(sum(n20,n16),n10)
    & equal(sum(n20,n17),n11)
    & equal(sum(n20,n18),n12)
    & equal(sum(n20,n19),n13)
    & equal(sum(n20,n20),n14)
    & equal(sum(n20,n21),n15)
    & equal(sum(n20,n22),n16)
    & equal(sum(n20,n23),n17)
    & equal(sum(n20,n24),n18)
    & equal(sum(n20,n25),n19)
    & equal(sum(n21,n0),n21)
    & equal(sum(n21,n1),n22)
    & equal(sum(n21,n2),n23)
    & equal(sum(n21,n3),n24)
    & equal(sum(n21,n4),n25)
    & equal(sum(n21,n5),n0)
    & equal(sum(n21,n6),n1)
    & equal(sum(n21,n7),n2)
    & equal(sum(n21,n8),n3)
    & equal(sum(n21,n9),n4)
    & equal(sum(n21,n10),n5)
    & equal(sum(n21,n11),n6)
    & equal(sum(n21,n12),n7)
    & equal(sum(n21,n13),n8)
    & equal(sum(n21,n14),n9)
    & equal(sum(n21,n15),n10)
    & equal(sum(n21,n16),n11)
    & equal(sum(n21,n17),n12)
    & equal(sum(n21,n18),n13)
    & equal(sum(n21,n19),n14)
    & equal(sum(n21,n20),n15)
    & equal(sum(n21,n21),n16)
    & equal(sum(n21,n22),n17)
    & equal(sum(n21,n23),n18)
    & equal(sum(n21,n24),n19)
    & equal(sum(n21,n25),n20)
    & equal(sum(n22,n0),n22)
    & equal(sum(n22,n1),n23)
    & equal(sum(n22,n2),n24)
    & equal(sum(n22,n3),n25)
    & equal(sum(n22,n4),n0)
    & equal(sum(n22,n5),n1)
    & equal(sum(n22,n6),n2)
    & equal(sum(n22,n7),n3)
    & equal(sum(n22,n8),n4)
    & equal(sum(n22,n9),n5)
    & equal(sum(n22,n10),n6)
    & equal(sum(n22,n11),n7)
    & equal(sum(n22,n12),n8)
    & equal(sum(n22,n13),n9)
    & equal(sum(n22,n14),n10)
    & equal(sum(n22,n15),n11)
    & equal(sum(n22,n16),n12)
    & equal(sum(n22,n17),n13)
    & equal(sum(n22,n18),n14)
    & equal(sum(n22,n19),n15)
    & equal(sum(n22,n20),n16)
    & equal(sum(n22,n21),n17)
    & equal(sum(n22,n22),n18)
    & equal(sum(n22,n23),n19)
    & equal(sum(n22,n24),n20)
    & equal(sum(n22,n25),n21)
    & equal(sum(n23,n0),n23)
    & equal(sum(n23,n1),n24)
    & equal(sum(n23,n2),n25)
    & equal(sum(n23,n3),n0)
    & equal(sum(n23,n4),n1)
    & equal(sum(n23,n5),n2)
    & equal(sum(n23,n6),n3)
    & equal(sum(n23,n7),n4)
    & equal(sum(n23,n8),n5)
    & equal(sum(n23,n9),n6)
    & equal(sum(n23,n10),n7)
    & equal(sum(n23,n11),n8)
    & equal(sum(n23,n12),n9)
    & equal(sum(n23,n13),n10)
    & equal(sum(n23,n14),n11)
    & equal(sum(n23,n15),n12)
    & equal(sum(n23,n16),n13)
    & equal(sum(n23,n17),n14)
    & equal(sum(n23,n18),n15)
    & equal(sum(n23,n19),n16)
    & equal(sum(n23,n20),n17)
    & equal(sum(n23,n21),n18)
    & equal(sum(n23,n22),n19)
    & equal(sum(n23,n23),n20)
    & equal(sum(n23,n24),n21)
    & equal(sum(n23,n25),n22)
    & equal(sum(n24,n0),n24)
    & equal(sum(n24,n1),n25)
    & equal(sum(n24,n2),n0)
    & equal(sum(n24,n3),n1)
    & equal(sum(n24,n4),n2)
    & equal(sum(n24,n5),n3)
    & equal(sum(n24,n6),n4)
    & equal(sum(n24,n7),n5)
    & equal(sum(n24,n8),n6)
    & equal(sum(n24,n9),n7)
    & equal(sum(n24,n10),n8)
    & equal(sum(n24,n11),n9)
    & equal(sum(n24,n12),n10)
    & equal(sum(n24,n13),n11)
    & equal(sum(n24,n14),n12)
    & equal(sum(n24,n15),n13)
    & equal(sum(n24,n16),n14)
    & equal(sum(n24,n17),n15)
    & equal(sum(n24,n18),n16)
    & equal(sum(n24,n19),n17)
    & equal(sum(n24,n20),n18)
    & equal(sum(n24,n21),n19)
    & equal(sum(n24,n22),n20)
    & equal(sum(n24,n23),n21)
    & equal(sum(n24,n24),n22)
    & equal(sum(n24,n25),n23)
    & equal(sum(n25,n0),n25)
    & equal(sum(n25,n1),n0)
    & equal(sum(n25,n2),n1)
    & equal(sum(n25,n3),n2)
    & equal(sum(n25,n4),n3)
    & equal(sum(n25,n5),n4)
    & equal(sum(n25,n6),n5)
    & equal(sum(n25,n7),n6)
    & equal(sum(n25,n8),n7)
    & equal(sum(n25,n9),n8)
    & equal(sum(n25,n10),n9)
    & equal(sum(n25,n11),n10)
    & equal(sum(n25,n12),n11)
    & equal(sum(n25,n13),n12)
    & equal(sum(n25,n14),n13)
    & equal(sum(n25,n15),n14)
    & equal(sum(n25,n16),n15)
    & equal(sum(n25,n17),n16)
    & equal(sum(n25,n18),n17)
    & equal(sum(n25,n19),n18)
    & equal(sum(n25,n20),n19)
    & equal(sum(n25,n21),n20)
    & equal(sum(n25,n22),n21)
    & equal(sum(n25,n23),n22)
    & equal(sum(n25,n24),n23)
    & equal(sum(n25,n25),n24)
    & ( 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(esk1_0,n21)
      | equal(esk1_0,n22)
      | equal(esk1_0,n23)
      | equal(esk1_0,n24)
      | equal(esk1_0,n25) )
    & ( 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(esk2_0,n21)
      | equal(esk2_0,n22)
      | equal(esk2_0,n23)
      | equal(esk2_0,n24)
      | equal(esk2_0,n25) )
    & ~ equal(sum(sum(pred(esk1_0),succ(esk2_0)),sum(pred(esk2_0),succ(esk1_0))),sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0))))
    & ~ equal(n0,n1)
    & ~ equal(n0,n2)
    & ~ equal(n0,n3)
    & ~ equal(n0,n4)
    & ~ equal(n0,n5)
    & ~ equal(n0,n6)
    & ~ equal(n0,n7)
    & ~ equal(n0,n8)
    & ~ equal(n0,n9)
    & ~ equal(n0,n10)
    & ~ equal(n0,n11)
    & ~ equal(n0,n12)
    & ~ equal(n0,n13)
    & ~ equal(n0,n14)
    & ~ equal(n0,n15)
    & ~ equal(n0,n16)
    & ~ equal(n0,n17)
    & ~ equal(n0,n18)
    & ~ equal(n0,n19)
    & ~ equal(n0,n20)
    & ~ equal(n0,n21)
    & ~ equal(n0,n22)
    & ~ equal(n0,n23)
    & ~ equal(n0,n24)
    & ~ equal(n0,n25)
    & ~ 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(n1,n21)
    & ~ equal(n1,n22)
    & ~ equal(n1,n23)
    & ~ equal(n1,n24)
    & ~ equal(n1,n25)
    & ~ 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(n2,n21)
    & ~ equal(n2,n22)
    & ~ equal(n2,n23)
    & ~ equal(n2,n24)
    & ~ equal(n2,n25)
    & ~ 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(n3,n21)
    & ~ equal(n3,n22)
    & ~ equal(n3,n23)
    & ~ equal(n3,n24)
    & ~ equal(n3,n25)
    & ~ 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(n4,n21)
    & ~ equal(n4,n22)
    & ~ equal(n4,n23)
    & ~ equal(n4,n24)
    & ~ equal(n4,n25)
    & ~ 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(n5,n21)
    & ~ equal(n5,n22)
    & ~ equal(n5,n23)
    & ~ equal(n5,n24)
    & ~ equal(n5,n25)
    & ~ 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(n6,n21)
    & ~ equal(n6,n22)
    & ~ equal(n6,n23)
    & ~ equal(n6,n24)
    & ~ equal(n6,n25)
    & ~ 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(n7,n21)
    & ~ equal(n7,n22)
    & ~ equal(n7,n23)
    & ~ equal(n7,n24)
    & ~ equal(n7,n25)
    & ~ 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(n8,n21)
    & ~ equal(n8,n22)
    & ~ equal(n8,n23)
    & ~ equal(n8,n24)
    & ~ equal(n8,n25)
    & ~ 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(n9,n21)
    & ~ equal(n9,n22)
    & ~ equal(n9,n23)
    & ~ equal(n9,n24)
    & ~ equal(n9,n25)
    & ~ 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(n10,n21)
    & ~ equal(n10,n22)
    & ~ equal(n10,n23)
    & ~ equal(n10,n24)
    & ~ equal(n10,n25)
    & ~ 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(n11,n21)
    & ~ equal(n11,n22)
    & ~ equal(n11,n23)
    & ~ equal(n11,n24)
    & ~ equal(n11,n25)
    & ~ 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(n12,n21)
    & ~ equal(n12,n22)
    & ~ equal(n12,n23)
    & ~ equal(n12,n24)
    & ~ equal(n12,n25)
    & ~ equal(n13,n14)
    & ~ equal(n13,n15)
    & ~ equal(n13,n16)
    & ~ equal(n13,n17)
    & ~ equal(n13,n18)
    & ~ equal(n13,n19)
    & ~ equal(n13,n20)
    & ~ equal(n13,n21)
    & ~ equal(n13,n22)
    & ~ equal(n13,n23)
    & ~ equal(n13,n24)
    & ~ equal(n13,n25)
    & ~ equal(n14,n15)
    & ~ equal(n14,n16)
    & ~ equal(n14,n17)
    & ~ equal(n14,n18)
    & ~ equal(n14,n19)
    & ~ equal(n14,n20)
    & ~ equal(n14,n21)
    & ~ equal(n14,n22)
    & ~ equal(n14,n23)
    & ~ equal(n14,n24)
    & ~ equal(n14,n25)
    & ~ equal(n15,n16)
    & ~ equal(n15,n17)
    & ~ equal(n15,n18)
    & ~ equal(n15,n19)
    & ~ equal(n15,n20)
    & ~ equal(n15,n21)
    & ~ equal(n15,n22)
    & ~ equal(n15,n23)
    & ~ equal(n15,n24)
    & ~ equal(n15,n25)
    & ~ equal(n16,n17)
    & ~ equal(n16,n18)
    & ~ equal(n16,n19)
    & ~ equal(n16,n20)
    & ~ equal(n16,n21)
    & ~ equal(n16,n22)
    & ~ equal(n16,n23)
    & ~ equal(n16,n24)
    & ~ equal(n16,n25)
    & ~ equal(n17,n18)
    & ~ equal(n17,n19)
    & ~ equal(n17,n20)
    & ~ equal(n17,n21)
    & ~ equal(n17,n22)
    & ~ equal(n17,n23)
    & ~ equal(n17,n24)
    & ~ equal(n17,n25)
    & ~ equal(n18,n19)
    & ~ equal(n18,n20)
    & ~ equal(n18,n21)
    & ~ equal(n18,n22)
    & ~ equal(n18,n23)
    & ~ equal(n18,n24)
    & ~ equal(n18,n25)
    & ~ equal(n19,n20)
    & ~ equal(n19,n21)
    & ~ equal(n19,n22)
    & ~ equal(n19,n23)
    & ~ equal(n19,n24)
    & ~ equal(n19,n25)
    & ~ equal(n20,n21)
    & ~ equal(n20,n22)
    & ~ equal(n20,n23)
    & ~ equal(n20,n24)
    & ~ equal(n20,n25)
    & ~ equal(n21,n22)
    & ~ equal(n21,n23)
    & ~ equal(n21,n24)
    & ~ equal(n21,n25)
    & ~ equal(n22,n23)
    & ~ equal(n22,n24)
    & ~ equal(n22,n25)
    & ~ equal(n23,n24)
    & ~ equal(n23,n25)
    & ~ equal(n24,n25) ),
    inference(skolemize,[status(esa)],[2]) ).

cnf(329,plain,
    sum(sum(pred(esk1_0),succ(esk2_0)),sum(pred(esk2_0),succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0))),
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(330,plain,
    ( esk2_0 = n25
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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(331,plain,
    ( esk1_0 = n25
    | esk1_0 = n24
    | esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | 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(332,plain,
    sum(n25,n25) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(333,plain,
    sum(n25,n24) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(334,plain,
    sum(n25,n23) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(335,plain,
    sum(n25,n22) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(336,plain,
    sum(n25,n21) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(337,plain,
    sum(n25,n20) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(338,plain,
    sum(n25,n19) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(339,plain,
    sum(n25,n18) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(340,plain,
    sum(n25,n17) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(341,plain,
    sum(n25,n16) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(342,plain,
    sum(n25,n15) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(343,plain,
    sum(n25,n14) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(344,plain,
    sum(n25,n13) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(345,plain,
    sum(n25,n12) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(346,plain,
    sum(n25,n11) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(347,plain,
    sum(n25,n10) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(348,plain,
    sum(n25,n9) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(349,plain,
    sum(n25,n8) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(350,plain,
    sum(n25,n7) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(351,plain,
    sum(n25,n6) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(352,plain,
    sum(n25,n5) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(353,plain,
    sum(n25,n4) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(354,plain,
    sum(n25,n3) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(355,plain,
    sum(n25,n2) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(356,plain,
    sum(n25,n1) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(357,plain,
    sum(n25,n0) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(358,plain,
    sum(n24,n25) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(359,plain,
    sum(n24,n24) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(360,plain,
    sum(n24,n23) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(361,plain,
    sum(n24,n22) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(362,plain,
    sum(n24,n21) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(363,plain,
    sum(n24,n20) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(364,plain,
    sum(n24,n19) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(365,plain,
    sum(n24,n18) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(366,plain,
    sum(n24,n17) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(367,plain,
    sum(n24,n16) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(368,plain,
    sum(n24,n15) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(369,plain,
    sum(n24,n14) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(370,plain,
    sum(n24,n13) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(371,plain,
    sum(n24,n12) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(372,plain,
    sum(n24,n11) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(373,plain,
    sum(n24,n10) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(374,plain,
    sum(n24,n9) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(375,plain,
    sum(n24,n8) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(376,plain,
    sum(n24,n7) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(377,plain,
    sum(n24,n6) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(378,plain,
    sum(n24,n5) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(379,plain,
    sum(n24,n4) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(380,plain,
    sum(n24,n3) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(381,plain,
    sum(n24,n2) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(382,plain,
    sum(n24,n1) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(383,plain,
    sum(n24,n0) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(384,plain,
    sum(n23,n25) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(385,plain,
    sum(n23,n24) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(386,plain,
    sum(n23,n23) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(387,plain,
    sum(n23,n22) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(388,plain,
    sum(n23,n21) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(389,plain,
    sum(n23,n20) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(390,plain,
    sum(n23,n19) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(391,plain,
    sum(n23,n18) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(392,plain,
    sum(n23,n17) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(393,plain,
    sum(n23,n16) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(394,plain,
    sum(n23,n15) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(395,plain,
    sum(n23,n14) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(396,plain,
    sum(n23,n13) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(397,plain,
    sum(n23,n12) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(398,plain,
    sum(n23,n11) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(399,plain,
    sum(n23,n10) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(400,plain,
    sum(n23,n9) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(401,plain,
    sum(n23,n8) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(402,plain,
    sum(n23,n7) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(403,plain,
    sum(n23,n6) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(404,plain,
    sum(n23,n5) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(405,plain,
    sum(n23,n4) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(406,plain,
    sum(n23,n3) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(407,plain,
    sum(n23,n2) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(408,plain,
    sum(n23,n1) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(409,plain,
    sum(n23,n0) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(410,plain,
    sum(n22,n25) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(411,plain,
    sum(n22,n24) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(412,plain,
    sum(n22,n23) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(413,plain,
    sum(n22,n22) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(414,plain,
    sum(n22,n21) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(415,plain,
    sum(n22,n20) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(416,plain,
    sum(n22,n19) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(417,plain,
    sum(n22,n18) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(418,plain,
    sum(n22,n17) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(419,plain,
    sum(n22,n16) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(420,plain,
    sum(n22,n15) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(421,plain,
    sum(n22,n14) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(422,plain,
    sum(n22,n13) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(423,plain,
    sum(n22,n12) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(424,plain,
    sum(n22,n11) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(425,plain,
    sum(n22,n10) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(426,plain,
    sum(n22,n9) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(427,plain,
    sum(n22,n8) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(428,plain,
    sum(n22,n7) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(429,plain,
    sum(n22,n6) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(430,plain,
    sum(n22,n5) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(431,plain,
    sum(n22,n4) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(432,plain,
    sum(n22,n3) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(433,plain,
    sum(n22,n2) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(434,plain,
    sum(n22,n1) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(435,plain,
    sum(n22,n0) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(436,plain,
    sum(n21,n25) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(437,plain,
    sum(n21,n24) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(438,plain,
    sum(n21,n23) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(439,plain,
    sum(n21,n22) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(440,plain,
    sum(n21,n21) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(441,plain,
    sum(n21,n20) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(442,plain,
    sum(n21,n19) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(443,plain,
    sum(n21,n18) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(444,plain,
    sum(n21,n17) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(445,plain,
    sum(n21,n16) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(446,plain,
    sum(n21,n15) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(447,plain,
    sum(n21,n14) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(448,plain,
    sum(n21,n13) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(449,plain,
    sum(n21,n12) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(450,plain,
    sum(n21,n11) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(451,plain,
    sum(n21,n10) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(452,plain,
    sum(n21,n9) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(453,plain,
    sum(n21,n8) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(454,plain,
    sum(n21,n7) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(455,plain,
    sum(n21,n6) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(456,plain,
    sum(n21,n5) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(457,plain,
    sum(n21,n4) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(458,plain,
    sum(n21,n3) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(459,plain,
    sum(n21,n2) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(460,plain,
    sum(n21,n1) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(461,plain,
    sum(n21,n0) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(462,plain,
    sum(n20,n25) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(463,plain,
    sum(n20,n24) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(464,plain,
    sum(n20,n23) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(465,plain,
    sum(n20,n22) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(466,plain,
    sum(n20,n21) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(467,plain,
    sum(n20,n20) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(468,plain,
    sum(n20,n19) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(469,plain,
    sum(n20,n18) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(470,plain,
    sum(n20,n17) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(471,plain,
    sum(n20,n16) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(472,plain,
    sum(n20,n15) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(473,plain,
    sum(n20,n14) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(474,plain,
    sum(n20,n13) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(475,plain,
    sum(n20,n12) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(476,plain,
    sum(n20,n11) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(477,plain,
    sum(n20,n10) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(478,plain,
    sum(n20,n9) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(479,plain,
    sum(n20,n8) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(480,plain,
    sum(n20,n7) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(481,plain,
    sum(n20,n6) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(482,plain,
    sum(n20,n5) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(483,plain,
    sum(n20,n4) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(484,plain,
    sum(n20,n3) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(485,plain,
    sum(n20,n2) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(486,plain,
    sum(n20,n1) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(487,plain,
    sum(n20,n0) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(488,plain,
    sum(n19,n25) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(489,plain,
    sum(n19,n24) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(490,plain,
    sum(n19,n23) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(491,plain,
    sum(n19,n22) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(492,plain,
    sum(n19,n21) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(493,plain,
    sum(n19,n20) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(494,plain,
    sum(n19,n19) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(495,plain,
    sum(n19,n18) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(496,plain,
    sum(n19,n17) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(497,plain,
    sum(n19,n16) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(498,plain,
    sum(n19,n15) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(499,plain,
    sum(n19,n14) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(500,plain,
    sum(n19,n13) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(501,plain,
    sum(n19,n12) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(502,plain,
    sum(n19,n11) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(503,plain,
    sum(n19,n10) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(504,plain,
    sum(n19,n9) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(505,plain,
    sum(n19,n8) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(506,plain,
    sum(n19,n7) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(507,plain,
    sum(n19,n6) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(508,plain,
    sum(n19,n5) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(509,plain,
    sum(n19,n4) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(510,plain,
    sum(n19,n3) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(511,plain,
    sum(n19,n2) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(512,plain,
    sum(n19,n1) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(513,plain,
    sum(n19,n0) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(514,plain,
    sum(n18,n25) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(515,plain,
    sum(n18,n24) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(516,plain,
    sum(n18,n23) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(517,plain,
    sum(n18,n22) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(518,plain,
    sum(n18,n21) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(519,plain,
    sum(n18,n20) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(520,plain,
    sum(n18,n19) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(521,plain,
    sum(n18,n18) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(522,plain,
    sum(n18,n17) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(523,plain,
    sum(n18,n16) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(524,plain,
    sum(n18,n15) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(525,plain,
    sum(n18,n14) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(526,plain,
    sum(n18,n13) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(527,plain,
    sum(n18,n12) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(528,plain,
    sum(n18,n11) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(529,plain,
    sum(n18,n10) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(530,plain,
    sum(n18,n9) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(531,plain,
    sum(n18,n8) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(532,plain,
    sum(n18,n7) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(533,plain,
    sum(n18,n6) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(534,plain,
    sum(n18,n5) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(535,plain,
    sum(n18,n4) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(536,plain,
    sum(n18,n3) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(537,plain,
    sum(n18,n2) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(538,plain,
    sum(n18,n1) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(539,plain,
    sum(n18,n0) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(540,plain,
    sum(n17,n25) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(541,plain,
    sum(n17,n24) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(542,plain,
    sum(n17,n23) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(543,plain,
    sum(n17,n22) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(544,plain,
    sum(n17,n21) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(545,plain,
    sum(n17,n20) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(546,plain,
    sum(n17,n19) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(547,plain,
    sum(n17,n18) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(548,plain,
    sum(n17,n17) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(549,plain,
    sum(n17,n16) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(550,plain,
    sum(n17,n15) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(551,plain,
    sum(n17,n14) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(552,plain,
    sum(n17,n13) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(553,plain,
    sum(n17,n12) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(554,plain,
    sum(n17,n11) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(555,plain,
    sum(n17,n10) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(556,plain,
    sum(n17,n9) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(557,plain,
    sum(n17,n8) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(558,plain,
    sum(n17,n7) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(559,plain,
    sum(n17,n6) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(560,plain,
    sum(n17,n5) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(561,plain,
    sum(n17,n4) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(562,plain,
    sum(n17,n3) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(563,plain,
    sum(n17,n2) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(564,plain,
    sum(n17,n1) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(565,plain,
    sum(n17,n0) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(566,plain,
    sum(n16,n25) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(567,plain,
    sum(n16,n24) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(568,plain,
    sum(n16,n23) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(569,plain,
    sum(n16,n22) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(570,plain,
    sum(n16,n21) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(571,plain,
    sum(n16,n20) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(572,plain,
    sum(n16,n19) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(573,plain,
    sum(n16,n18) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(574,plain,
    sum(n16,n17) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(575,plain,
    sum(n16,n16) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(576,plain,
    sum(n16,n15) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(577,plain,
    sum(n16,n14) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(578,plain,
    sum(n16,n13) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(579,plain,
    sum(n16,n12) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(580,plain,
    sum(n16,n11) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(581,plain,
    sum(n16,n10) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(582,plain,
    sum(n16,n9) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(583,plain,
    sum(n16,n8) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(584,plain,
    sum(n16,n7) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(585,plain,
    sum(n16,n6) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(586,plain,
    sum(n16,n5) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(587,plain,
    sum(n16,n4) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(588,plain,
    sum(n16,n3) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(589,plain,
    sum(n16,n2) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(590,plain,
    sum(n16,n1) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(591,plain,
    sum(n16,n0) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(592,plain,
    sum(n15,n25) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(593,plain,
    sum(n15,n24) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(594,plain,
    sum(n15,n23) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(595,plain,
    sum(n15,n22) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(596,plain,
    sum(n15,n21) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(597,plain,
    sum(n15,n20) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(598,plain,
    sum(n15,n19) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(599,plain,
    sum(n15,n18) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(600,plain,
    sum(n15,n17) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(601,plain,
    sum(n15,n16) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(602,plain,
    sum(n15,n15) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(603,plain,
    sum(n15,n14) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(604,plain,
    sum(n15,n13) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(605,plain,
    sum(n15,n12) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(606,plain,
    sum(n15,n11) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(607,plain,
    sum(n15,n10) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(608,plain,
    sum(n15,n9) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(609,plain,
    sum(n15,n8) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(610,plain,
    sum(n15,n7) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(611,plain,
    sum(n15,n6) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(612,plain,
    sum(n15,n5) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(613,plain,
    sum(n15,n4) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(614,plain,
    sum(n15,n3) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(615,plain,
    sum(n15,n2) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(616,plain,
    sum(n15,n1) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(617,plain,
    sum(n15,n0) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(618,plain,
    sum(n14,n25) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(619,plain,
    sum(n14,n24) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(620,plain,
    sum(n14,n23) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(621,plain,
    sum(n14,n22) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(622,plain,
    sum(n14,n21) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(623,plain,
    sum(n14,n20) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(624,plain,
    sum(n14,n19) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(625,plain,
    sum(n14,n18) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(626,plain,
    sum(n14,n17) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(627,plain,
    sum(n14,n16) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(628,plain,
    sum(n14,n15) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(629,plain,
    sum(n14,n14) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(630,plain,
    sum(n14,n13) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(631,plain,
    sum(n14,n12) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(632,plain,
    sum(n14,n11) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(633,plain,
    sum(n14,n10) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(634,plain,
    sum(n14,n9) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(635,plain,
    sum(n14,n8) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(636,plain,
    sum(n14,n7) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(637,plain,
    sum(n14,n6) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(638,plain,
    sum(n14,n5) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(639,plain,
    sum(n14,n4) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(640,plain,
    sum(n14,n3) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(641,plain,
    sum(n14,n2) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(642,plain,
    sum(n14,n1) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

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

cnf(644,plain,
    sum(n13,n25) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(645,plain,
    sum(n13,n24) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(646,plain,
    sum(n13,n23) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(647,plain,
    sum(n13,n22) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(648,plain,
    sum(n13,n21) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(649,plain,
    sum(n13,n20) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(650,plain,
    sum(n13,n19) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(651,plain,
    sum(n13,n18) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(652,plain,
    sum(n13,n17) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(653,plain,
    sum(n13,n16) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(654,plain,
    sum(n13,n15) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(655,plain,
    sum(n13,n14) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(656,plain,
    sum(n13,n13) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(657,plain,
    sum(n13,n12) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(658,plain,
    sum(n13,n11) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(659,plain,
    sum(n13,n10) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(660,plain,
    sum(n13,n9) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(661,plain,
    sum(n13,n8) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(662,plain,
    sum(n13,n7) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(663,plain,
    sum(n13,n6) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(664,plain,
    sum(n13,n5) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(665,plain,
    sum(n13,n4) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(666,plain,
    sum(n13,n3) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(667,plain,
    sum(n13,n2) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(668,plain,
    sum(n13,n1) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(669,plain,
    sum(n13,n0) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(670,plain,
    sum(n12,n25) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(671,plain,
    sum(n12,n24) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(672,plain,
    sum(n12,n23) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(673,plain,
    sum(n12,n22) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(674,plain,
    sum(n12,n21) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(675,plain,
    sum(n12,n20) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(676,plain,
    sum(n12,n19) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(677,plain,
    sum(n12,n18) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(678,plain,
    sum(n12,n17) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(679,plain,
    sum(n12,n16) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(680,plain,
    sum(n12,n15) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(681,plain,
    sum(n12,n14) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(682,plain,
    sum(n12,n13) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(683,plain,
    sum(n12,n12) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(684,plain,
    sum(n12,n11) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(685,plain,
    sum(n12,n10) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(686,plain,
    sum(n12,n9) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(687,plain,
    sum(n12,n8) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(688,plain,
    sum(n12,n7) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(689,plain,
    sum(n12,n6) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(690,plain,
    sum(n12,n5) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(691,plain,
    sum(n12,n4) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(692,plain,
    sum(n12,n3) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(693,plain,
    sum(n12,n2) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(694,plain,
    sum(n12,n1) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(695,plain,
    sum(n12,n0) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(696,plain,
    sum(n11,n25) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(697,plain,
    sum(n11,n24) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(698,plain,
    sum(n11,n23) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(699,plain,
    sum(n11,n22) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(700,plain,
    sum(n11,n21) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(701,plain,
    sum(n11,n20) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(702,plain,
    sum(n11,n19) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(703,plain,
    sum(n11,n18) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(704,plain,
    sum(n11,n17) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(705,plain,
    sum(n11,n16) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(706,plain,
    sum(n11,n15) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(707,plain,
    sum(n11,n14) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(708,plain,
    sum(n11,n13) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(709,plain,
    sum(n11,n12) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(710,plain,
    sum(n11,n11) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(711,plain,
    sum(n11,n10) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(712,plain,
    sum(n11,n9) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(713,plain,
    sum(n11,n8) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(714,plain,
    sum(n11,n7) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(715,plain,
    sum(n11,n6) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(716,plain,
    sum(n11,n5) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(717,plain,
    sum(n11,n4) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(718,plain,
    sum(n11,n3) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(719,plain,
    sum(n11,n2) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(720,plain,
    sum(n11,n1) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(721,plain,
    sum(n11,n0) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(722,plain,
    sum(n10,n25) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(723,plain,
    sum(n10,n24) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(724,plain,
    sum(n10,n23) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(725,plain,
    sum(n10,n22) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(726,plain,
    sum(n10,n21) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(727,plain,
    sum(n10,n20) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(728,plain,
    sum(n10,n19) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(729,plain,
    sum(n10,n18) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(730,plain,
    sum(n10,n17) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(731,plain,
    sum(n10,n16) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(732,plain,
    sum(n10,n15) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(733,plain,
    sum(n10,n14) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(734,plain,
    sum(n10,n13) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(735,plain,
    sum(n10,n12) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(736,plain,
    sum(n10,n11) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(737,plain,
    sum(n10,n10) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(738,plain,
    sum(n10,n9) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(739,plain,
    sum(n10,n8) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(740,plain,
    sum(n10,n7) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(741,plain,
    sum(n10,n6) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(742,plain,
    sum(n10,n5) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(743,plain,
    sum(n10,n4) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(744,plain,
    sum(n10,n3) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(745,plain,
    sum(n10,n2) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(746,plain,
    sum(n10,n1) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(747,plain,
    sum(n10,n0) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(748,plain,
    sum(n9,n25) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(749,plain,
    sum(n9,n24) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(750,plain,
    sum(n9,n23) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(751,plain,
    sum(n9,n22) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(752,plain,
    sum(n9,n21) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(753,plain,
    sum(n9,n20) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(754,plain,
    sum(n9,n19) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(755,plain,
    sum(n9,n18) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(756,plain,
    sum(n9,n17) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(757,plain,
    sum(n9,n16) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(758,plain,
    sum(n9,n15) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(759,plain,
    sum(n9,n14) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(760,plain,
    sum(n9,n13) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(761,plain,
    sum(n9,n12) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(762,plain,
    sum(n9,n11) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(763,plain,
    sum(n9,n10) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(764,plain,
    sum(n9,n9) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(765,plain,
    sum(n9,n8) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(766,plain,
    sum(n9,n7) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(767,plain,
    sum(n9,n6) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(768,plain,
    sum(n9,n5) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(769,plain,
    sum(n9,n4) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(770,plain,
    sum(n9,n3) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(771,plain,
    sum(n9,n2) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(772,plain,
    sum(n9,n1) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(773,plain,
    sum(n9,n0) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(774,plain,
    sum(n8,n25) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(775,plain,
    sum(n8,n24) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(776,plain,
    sum(n8,n23) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(777,plain,
    sum(n8,n22) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(778,plain,
    sum(n8,n21) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(779,plain,
    sum(n8,n20) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(780,plain,
    sum(n8,n19) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(781,plain,
    sum(n8,n18) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(782,plain,
    sum(n8,n17) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(783,plain,
    sum(n8,n16) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(784,plain,
    sum(n8,n15) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(785,plain,
    sum(n8,n14) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(786,plain,
    sum(n8,n13) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(787,plain,
    sum(n8,n12) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(788,plain,
    sum(n8,n11) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(789,plain,
    sum(n8,n10) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(790,plain,
    sum(n8,n9) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(791,plain,
    sum(n8,n8) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(792,plain,
    sum(n8,n7) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(793,plain,
    sum(n8,n6) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(794,plain,
    sum(n8,n5) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(795,plain,
    sum(n8,n4) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(796,plain,
    sum(n8,n3) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(797,plain,
    sum(n8,n2) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(798,plain,
    sum(n8,n1) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(799,plain,
    sum(n8,n0) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(800,plain,
    sum(n7,n25) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(801,plain,
    sum(n7,n24) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(802,plain,
    sum(n7,n23) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(803,plain,
    sum(n7,n22) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(804,plain,
    sum(n7,n21) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(805,plain,
    sum(n7,n20) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(806,plain,
    sum(n7,n19) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(807,plain,
    sum(n7,n18) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(808,plain,
    sum(n7,n17) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(809,plain,
    sum(n7,n16) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(810,plain,
    sum(n7,n15) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(811,plain,
    sum(n7,n14) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(812,plain,
    sum(n7,n13) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(813,plain,
    sum(n7,n12) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(814,plain,
    sum(n7,n11) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(815,plain,
    sum(n7,n10) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(816,plain,
    sum(n7,n9) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(817,plain,
    sum(n7,n8) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(818,plain,
    sum(n7,n7) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(819,plain,
    sum(n7,n6) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(820,plain,
    sum(n7,n5) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(821,plain,
    sum(n7,n4) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(822,plain,
    sum(n7,n3) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(823,plain,
    sum(n7,n2) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(824,plain,
    sum(n7,n1) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(825,plain,
    sum(n7,n0) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(826,plain,
    sum(n6,n25) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(827,plain,
    sum(n6,n24) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(828,plain,
    sum(n6,n23) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(829,plain,
    sum(n6,n22) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(830,plain,
    sum(n6,n21) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(831,plain,
    sum(n6,n20) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(832,plain,
    sum(n6,n19) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(833,plain,
    sum(n6,n18) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(834,plain,
    sum(n6,n17) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(835,plain,
    sum(n6,n16) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(836,plain,
    sum(n6,n15) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(837,plain,
    sum(n6,n14) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(838,plain,
    sum(n6,n13) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(839,plain,
    sum(n6,n12) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(840,plain,
    sum(n6,n11) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(841,plain,
    sum(n6,n10) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(842,plain,
    sum(n6,n9) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(843,plain,
    sum(n6,n8) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(844,plain,
    sum(n6,n7) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(845,plain,
    sum(n6,n6) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(846,plain,
    sum(n6,n5) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(847,plain,
    sum(n6,n4) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(848,plain,
    sum(n6,n3) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(849,plain,
    sum(n6,n2) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(850,plain,
    sum(n6,n1) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(851,plain,
    sum(n6,n0) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(852,plain,
    sum(n5,n25) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(853,plain,
    sum(n5,n24) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(854,plain,
    sum(n5,n23) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(855,plain,
    sum(n5,n22) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(856,plain,
    sum(n5,n21) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(857,plain,
    sum(n5,n20) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(858,plain,
    sum(n5,n19) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(859,plain,
    sum(n5,n18) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(860,plain,
    sum(n5,n17) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(861,plain,
    sum(n5,n16) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(862,plain,
    sum(n5,n15) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(863,plain,
    sum(n5,n14) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(864,plain,
    sum(n5,n13) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(865,plain,
    sum(n5,n12) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(866,plain,
    sum(n5,n11) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(867,plain,
    sum(n5,n10) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(868,plain,
    sum(n5,n9) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(869,plain,
    sum(n5,n8) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(870,plain,
    sum(n5,n7) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(871,plain,
    sum(n5,n6) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(872,plain,
    sum(n5,n5) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(873,plain,
    sum(n5,n4) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(874,plain,
    sum(n5,n3) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(875,plain,
    sum(n5,n2) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(876,plain,
    sum(n5,n1) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(877,plain,
    sum(n5,n0) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(878,plain,
    sum(n4,n25) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(879,plain,
    sum(n4,n24) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(880,plain,
    sum(n4,n23) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(881,plain,
    sum(n4,n22) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(882,plain,
    sum(n4,n21) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(883,plain,
    sum(n4,n20) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(884,plain,
    sum(n4,n19) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(885,plain,
    sum(n4,n18) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(886,plain,
    sum(n4,n17) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(887,plain,
    sum(n4,n16) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(888,plain,
    sum(n4,n15) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(889,plain,
    sum(n4,n14) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(890,plain,
    sum(n4,n13) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(891,plain,
    sum(n4,n12) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(892,plain,
    sum(n4,n11) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(893,plain,
    sum(n4,n10) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(894,plain,
    sum(n4,n9) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(895,plain,
    sum(n4,n8) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(896,plain,
    sum(n4,n7) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(897,plain,
    sum(n4,n6) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(898,plain,
    sum(n4,n5) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(899,plain,
    sum(n4,n4) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(900,plain,
    sum(n4,n3) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(901,plain,
    sum(n4,n2) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(902,plain,
    sum(n4,n1) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(903,plain,
    sum(n4,n0) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(904,plain,
    sum(n3,n25) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(905,plain,
    sum(n3,n24) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(906,plain,
    sum(n3,n23) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(907,plain,
    sum(n3,n22) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(908,plain,
    sum(n3,n21) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(909,plain,
    sum(n3,n20) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(910,plain,
    sum(n3,n19) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(911,plain,
    sum(n3,n18) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(912,plain,
    sum(n3,n17) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(913,plain,
    sum(n3,n16) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(914,plain,
    sum(n3,n15) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(915,plain,
    sum(n3,n14) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(916,plain,
    sum(n3,n13) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(917,plain,
    sum(n3,n12) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(918,plain,
    sum(n3,n11) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(919,plain,
    sum(n3,n10) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(920,plain,
    sum(n3,n9) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(921,plain,
    sum(n3,n8) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(922,plain,
    sum(n3,n7) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(923,plain,
    sum(n3,n6) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(924,plain,
    sum(n3,n5) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(925,plain,
    sum(n3,n4) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(926,plain,
    sum(n3,n3) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(927,plain,
    sum(n3,n2) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(928,plain,
    sum(n3,n1) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(929,plain,
    sum(n3,n0) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(930,plain,
    sum(n2,n25) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(931,plain,
    sum(n2,n24) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(932,plain,
    sum(n2,n23) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(933,plain,
    sum(n2,n22) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(934,plain,
    sum(n2,n21) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(935,plain,
    sum(n2,n20) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(936,plain,
    sum(n2,n19) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(937,plain,
    sum(n2,n18) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(938,plain,
    sum(n2,n17) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(939,plain,
    sum(n2,n16) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(940,plain,
    sum(n2,n15) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(941,plain,
    sum(n2,n14) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(942,plain,
    sum(n2,n13) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(943,plain,
    sum(n2,n12) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(944,plain,
    sum(n2,n11) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(945,plain,
    sum(n2,n10) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(946,plain,
    sum(n2,n9) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(947,plain,
    sum(n2,n8) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(948,plain,
    sum(n2,n7) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(949,plain,
    sum(n2,n6) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(950,plain,
    sum(n2,n5) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(951,plain,
    sum(n2,n4) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(952,plain,
    sum(n2,n3) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(953,plain,
    sum(n2,n2) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(954,plain,
    sum(n2,n1) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(955,plain,
    sum(n2,n0) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(956,plain,
    sum(n1,n25) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(957,plain,
    sum(n1,n24) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(958,plain,
    sum(n1,n23) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(959,plain,
    sum(n1,n22) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(960,plain,
    sum(n1,n21) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(961,plain,
    sum(n1,n20) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(962,plain,
    sum(n1,n19) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(963,plain,
    sum(n1,n18) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(964,plain,
    sum(n1,n17) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(965,plain,
    sum(n1,n16) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(966,plain,
    sum(n1,n15) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(967,plain,
    sum(n1,n14) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(968,plain,
    sum(n1,n13) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(969,plain,
    sum(n1,n12) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(970,plain,
    sum(n1,n11) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(971,plain,
    sum(n1,n10) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(972,plain,
    sum(n1,n9) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(973,plain,
    sum(n1,n8) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(974,plain,
    sum(n1,n7) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(975,plain,
    sum(n1,n6) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(976,plain,
    sum(n1,n5) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(977,plain,
    sum(n1,n4) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(978,plain,
    sum(n1,n3) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(979,plain,
    sum(n1,n2) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(980,plain,
    sum(n1,n1) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(981,plain,
    sum(n1,n0) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(982,plain,
    sum(n0,n25) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(983,plain,
    sum(n0,n24) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(984,plain,
    sum(n0,n23) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(985,plain,
    sum(n0,n22) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(986,plain,
    sum(n0,n21) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(987,plain,
    sum(n0,n20) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(988,plain,
    sum(n0,n19) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(989,plain,
    sum(n0,n18) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(990,plain,
    sum(n0,n17) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(991,plain,
    sum(n0,n16) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(992,plain,
    sum(n0,n15) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(993,plain,
    sum(n0,n14) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(994,plain,
    sum(n0,n13) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(995,plain,
    sum(n0,n12) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(996,plain,
    sum(n0,n11) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(997,plain,
    sum(n0,n10) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(998,plain,
    sum(n0,n9) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(999,plain,
    sum(n0,n8) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1000,plain,
    sum(n0,n7) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1001,plain,
    sum(n0,n6) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1002,plain,
    sum(n0,n5) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1003,plain,
    sum(n0,n4) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1004,plain,
    sum(n0,n3) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1005,plain,
    sum(n0,n2) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1006,plain,
    sum(n0,n1) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1007,plain,
    sum(n0,n0) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1008,plain,
    pred(n25) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1009,plain,
    pred(n24) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1010,plain,
    pred(n23) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1011,plain,
    pred(n22) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1012,plain,
    pred(n21) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1013,plain,
    pred(n20) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1014,plain,
    pred(n19) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1015,plain,
    pred(n18) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1016,plain,
    pred(n17) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1017,plain,
    pred(n16) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1018,plain,
    pred(n15) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1019,plain,
    pred(n14) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1020,plain,
    pred(n13) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1021,plain,
    pred(n12) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1022,plain,
    pred(n11) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1023,plain,
    pred(n10) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1024,plain,
    pred(n9) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1025,plain,
    pred(n8) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1026,plain,
    pred(n7) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1027,plain,
    pred(n6) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1028,plain,
    pred(n5) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1029,plain,
    pred(n4) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1030,plain,
    pred(n3) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1031,plain,
    pred(n2) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1032,plain,
    pred(n1) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1033,plain,
    pred(n0) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1034,plain,
    succ(n25) = n0,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1035,plain,
    succ(n24) = n25,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1036,plain,
    succ(n23) = n24,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1037,plain,
    succ(n22) = n23,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1038,plain,
    succ(n21) = n22,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1039,plain,
    succ(n20) = n21,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1040,plain,
    succ(n19) = n20,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1041,plain,
    succ(n18) = n19,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1042,plain,
    succ(n17) = n18,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1043,plain,
    succ(n16) = n17,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1044,plain,
    succ(n15) = n16,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1045,plain,
    succ(n14) = n15,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1046,plain,
    succ(n13) = n14,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1047,plain,
    succ(n12) = n13,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1048,plain,
    succ(n11) = n12,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1049,plain,
    succ(n10) = n11,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1050,plain,
    succ(n9) = n10,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1051,plain,
    succ(n8) = n9,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1052,plain,
    succ(n7) = n8,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1053,plain,
    succ(n6) = n7,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1054,plain,
    succ(n5) = n6,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1055,plain,
    succ(n4) = n5,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1056,plain,
    succ(n3) = n4,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1057,plain,
    succ(n2) = n3,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1058,plain,
    succ(n1) = n2,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1059,plain,
    succ(n0) = n1,
    inference(split_conjunct,[status(thm)],[3]) ).

cnf(1085,plain,
    ( esk1_0 = n25
    | esk1_0 = n24
    | esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n0),succ(esk2_0)),sum(pred(esk2_0),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,331,theory(equality)]) ).

cnf(1086,plain,
    ( esk1_0 = n25
    | esk1_0 = n24
    | esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n25,succ(esk2_0)),sum(pred(esk2_0),n1)) != sum(sum(pred(n0),succ(n0)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[1085,1033,theory(equality)]),1059,theory(equality)]) ).

cnf(1087,plain,
    ( esk1_0 = n25
    | esk1_0 = n24
    | esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n25,succ(esk2_0)),sum(pred(esk2_0),n1)) != sum(n0,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1086,1033,theory(equality)]),1059,theory(equality)]),356,theory(equality)]) ).

cnf(1113,plain,
    ( esk2_0 = n25
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(pred(esk1_0),succ(n0)),sum(pred(n0),succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(n0),succ(n0))) ),
    inference(spm,[status(thm)],[329,330,theory(equality)]) ).

cnf(1114,plain,
    ( esk2_0 = n25
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(pred(esk1_0),n1),sum(n25,succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(n0),succ(n0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[1113,1059,theory(equality)]),1033,theory(equality)]) ).

cnf(1115,plain,
    ( esk2_0 = n25
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(pred(esk1_0),n1),sum(n25,succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1114,1033,theory(equality)]),1059,theory(equality)]),356,theory(equality)]) ).

cnf(1116,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n25
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n25,succ(n0)),sum(pred(n0),n1)) != sum(n0,sum(pred(n0),succ(n0))) ),
    inference(spm,[status(thm)],[1087,330,theory(equality)]) ).

cnf(1117,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n25
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n0,sum(pred(n0),succ(n0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1116,1059,theory(equality)]),356,theory(equality)]),1033,theory(equality)]),356,theory(equality)]),1007,theory(equality)]) ).

cnf(1118,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n25
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1117,1033,theory(equality)]),1059,theory(equality)]),356,theory(equality)]),1007,theory(equality)]) ).

cnf(1119,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n25
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1118,theory(equality)]) ).

cnf(1149,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | sum(sum(n25,succ(n25)),sum(pred(n25),n1)) != sum(n0,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[1087,1119,theory(equality)]) ).

cnf(1152,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | n24 != sum(n0,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1149,1034,theory(equality)]),357,theory(equality)]),1008,theory(equality)]),382,theory(equality)]),332,theory(equality)]) ).

cnf(1153,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1152,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),983,theory(equality)]) ).

cnf(1154,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24 ),
    inference(cn,[status(thm)],[1153,theory(equality)]) ).

cnf(1179,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n25,succ(n24)),sum(pred(n24),n1)) != sum(n0,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[1087,1154,theory(equality)]) ).

cnf(1182,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n22 != sum(n0,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1179,1035,theory(equality)]),332,theory(equality)]),1009,theory(equality)]),408,theory(equality)]),359,theory(equality)]) ).

cnf(1183,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1182,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),985,theory(equality)]) ).

cnf(1184,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1183,theory(equality)]) ).

cnf(1208,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | sum(sum(n25,succ(n23)),sum(pred(n23),n1)) != sum(n0,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[1087,1184,theory(equality)]) ).

cnf(1211,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | n20 != sum(n0,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1208,1036,theory(equality)]),333,theory(equality)]),1010,theory(equality)]),434,theory(equality)]),386,theory(equality)]) ).

cnf(1212,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1211,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),987,theory(equality)]) ).

cnf(1213,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22 ),
    inference(cn,[status(thm)],[1212,theory(equality)]) ).

cnf(1236,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n25,succ(n22)),sum(pred(n22),n1)) != sum(n0,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[1087,1213,theory(equality)]) ).

cnf(1239,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n21
    | 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
    | n18 != sum(n0,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1236,1037,theory(equality)]),334,theory(equality)]),1011,theory(equality)]),460,theory(equality)]),413,theory(equality)]) ).

cnf(1240,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1239,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),989,theory(equality)]) ).

cnf(1241,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1240,theory(equality)]) ).

cnf(1263,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | sum(sum(n25,succ(n21)),sum(pred(n21),n1)) != sum(n0,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[1087,1241,theory(equality)]) ).

cnf(1266,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | n16 != sum(n0,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1263,1038,theory(equality)]),335,theory(equality)]),1012,theory(equality)]),486,theory(equality)]),440,theory(equality)]) ).

cnf(1267,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1266,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),991,theory(equality)]) ).

cnf(1268,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20 ),
    inference(cn,[status(thm)],[1267,theory(equality)]) ).

cnf(1289,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n25,succ(n20)),sum(pred(n20),n1)) != sum(n0,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[1087,1268,theory(equality)]) ).

cnf(1292,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n0,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1289,1039,theory(equality)]),336,theory(equality)]),1013,theory(equality)]),512,theory(equality)]),467,theory(equality)]) ).

cnf(1293,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1292,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),993,theory(equality)]) ).

cnf(1294,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1293,theory(equality)]) ).

cnf(1314,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | sum(sum(n25,succ(n19)),sum(pred(n19),n1)) != sum(n0,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[1087,1294,theory(equality)]) ).

cnf(1317,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | n12 != sum(n0,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1314,1040,theory(equality)]),337,theory(equality)]),1014,theory(equality)]),538,theory(equality)]),494,theory(equality)]) ).

cnf(1318,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1317,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),995,theory(equality)]) ).

cnf(1319,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18 ),
    inference(cn,[status(thm)],[1318,theory(equality)]) ).

cnf(1338,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n25,succ(n18)),sum(pred(n18),n1)) != sum(n0,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[1087,1319,theory(equality)]) ).

cnf(1341,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n0,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1338,1041,theory(equality)]),338,theory(equality)]),1015,theory(equality)]),564,theory(equality)]),521,theory(equality)]) ).

cnf(1342,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1341,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),997,theory(equality)]) ).

cnf(1343,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1342,theory(equality)]) ).

cnf(1361,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | sum(sum(n25,succ(n17)),sum(pred(n17),n1)) != sum(n0,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[1087,1343,theory(equality)]) ).

cnf(1364,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | n8 != sum(n0,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1361,1042,theory(equality)]),339,theory(equality)]),1016,theory(equality)]),590,theory(equality)]),548,theory(equality)]) ).

cnf(1365,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1364,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),999,theory(equality)]) ).

cnf(1366,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16 ),
    inference(cn,[status(thm)],[1365,theory(equality)]) ).

cnf(1383,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n25,succ(n16)),sum(pred(n16),n1)) != sum(n0,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[1087,1366,theory(equality)]) ).

cnf(1386,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n0,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1383,1043,theory(equality)]),340,theory(equality)]),1017,theory(equality)]),616,theory(equality)]),575,theory(equality)]) ).

cnf(1387,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1386,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),1001,theory(equality)]) ).

cnf(1388,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1387,theory(equality)]) ).

cnf(1404,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | sum(sum(n25,succ(n15)),sum(pred(n15),n1)) != sum(n0,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[1087,1388,theory(equality)]) ).

cnf(1407,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | n4 != sum(n0,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1404,1044,theory(equality)]),341,theory(equality)]),1018,theory(equality)]),642,theory(equality)]),602,theory(equality)]) ).

cnf(1408,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1407,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),1003,theory(equality)]) ).

cnf(1409,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(cn,[status(thm)],[1408,theory(equality)]) ).

cnf(1424,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n25,succ(n14)),sum(pred(n14),n1)) != sum(n0,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[1087,1409,theory(equality)]) ).

cnf(1427,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n0,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1424,1045,theory(equality)]),342,theory(equality)]),1019,theory(equality)]),668,theory(equality)]),629,theory(equality)]) ).

cnf(1428,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1427,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),1005,theory(equality)]) ).

cnf(1429,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1428,theory(equality)]) ).

cnf(1443,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | sum(sum(n25,succ(n13)),sum(pred(n13),n1)) != sum(n0,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[1087,1429,theory(equality)]) ).

cnf(1446,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | n0 != sum(n0,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1443,1046,theory(equality)]),343,theory(equality)]),1020,theory(equality)]),694,theory(equality)]),656,theory(equality)]) ).

cnf(1447,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1446,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),1007,theory(equality)]) ).

cnf(1448,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(cn,[status(thm)],[1447,theory(equality)]) ).

cnf(1461,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n25,succ(n12)),sum(pred(n12),n1)) != sum(n0,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[1087,1448,theory(equality)]) ).

cnf(1464,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n24 != sum(n0,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1461,1047,theory(equality)]),344,theory(equality)]),1021,theory(equality)]),720,theory(equality)]),683,theory(equality)]) ).

cnf(1465,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1464,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),983,theory(equality)]) ).

cnf(1466,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1465,theory(equality)]) ).

cnf(1478,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | sum(sum(n25,succ(n11)),sum(pred(n11),n1)) != sum(n0,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[1087,1466,theory(equality)]) ).

cnf(1481,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | n22 != sum(n0,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1478,1048,theory(equality)]),345,theory(equality)]),1022,theory(equality)]),746,theory(equality)]),710,theory(equality)]) ).

cnf(1482,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1481,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),985,theory(equality)]) ).

cnf(1483,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(cn,[status(thm)],[1482,theory(equality)]) ).

cnf(1494,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n25,succ(n10)),sum(pred(n10),n1)) != sum(n0,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[1087,1483,theory(equality)]) ).

cnf(1497,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n0,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1494,1049,theory(equality)]),346,theory(equality)]),1023,theory(equality)]),772,theory(equality)]),737,theory(equality)]) ).

cnf(1498,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1497,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),987,theory(equality)]) ).

cnf(1499,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1498,theory(equality)]) ).

cnf(1509,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | sum(sum(n25,succ(n9)),sum(pred(n9),n1)) != sum(n0,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[1087,1499,theory(equality)]) ).

cnf(1512,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | n18 != sum(n0,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1509,1050,theory(equality)]),347,theory(equality)]),1024,theory(equality)]),798,theory(equality)]),764,theory(equality)]) ).

cnf(1513,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1512,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),989,theory(equality)]) ).

cnf(1514,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(cn,[status(thm)],[1513,theory(equality)]) ).

cnf(1523,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n25,succ(n8)),sum(pred(n8),n1)) != sum(n0,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[1087,1514,theory(equality)]) ).

cnf(1526,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n0,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1523,1051,theory(equality)]),348,theory(equality)]),1025,theory(equality)]),824,theory(equality)]),791,theory(equality)]) ).

cnf(1527,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1526,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),991,theory(equality)]) ).

cnf(1528,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1527,theory(equality)]) ).

cnf(1536,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | sum(sum(n25,succ(n7)),sum(pred(n7),n1)) != sum(n0,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[1087,1528,theory(equality)]) ).

cnf(1539,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | n14 != sum(n0,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1536,1052,theory(equality)]),349,theory(equality)]),1026,theory(equality)]),850,theory(equality)]),818,theory(equality)]) ).

cnf(1540,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1539,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),993,theory(equality)]) ).

cnf(1541,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[1540,theory(equality)]) ).

cnf(1548,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n25,succ(n6)),sum(pred(n6),n1)) != sum(n0,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[1087,1541,theory(equality)]) ).

cnf(1551,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n0,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1548,1053,theory(equality)]),350,theory(equality)]),1027,theory(equality)]),876,theory(equality)]),845,theory(equality)]) ).

cnf(1552,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1551,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),995,theory(equality)]) ).

cnf(1553,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1552,theory(equality)]) ).

cnf(1559,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | sum(sum(n25,succ(n5)),sum(pred(n5),n1)) != sum(n0,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[1087,1553,theory(equality)]) ).

cnf(1562,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | n10 != sum(n0,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1559,1054,theory(equality)]),351,theory(equality)]),1028,theory(equality)]),902,theory(equality)]),872,theory(equality)]) ).

cnf(1563,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1562,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),997,theory(equality)]) ).

cnf(1564,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[1563,theory(equality)]) ).

cnf(1569,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n25,succ(n4)),sum(pred(n4),n1)) != sum(n0,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[1087,1564,theory(equality)]) ).

cnf(1572,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n0,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1569,1055,theory(equality)]),352,theory(equality)]),1029,theory(equality)]),928,theory(equality)]),899,theory(equality)]) ).

cnf(1573,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1572,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),999,theory(equality)]) ).

cnf(1574,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1573,theory(equality)]) ).

cnf(1578,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | sum(sum(n25,succ(n3)),sum(pred(n3),n1)) != sum(n0,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[1087,1574,theory(equality)]) ).

cnf(1581,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | n6 != sum(n0,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1578,1056,theory(equality)]),353,theory(equality)]),1030,theory(equality)]),954,theory(equality)]),926,theory(equality)]) ).

cnf(1582,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1581,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),1001,theory(equality)]) ).

cnf(1583,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[1582,theory(equality)]) ).

cnf(1586,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | sum(sum(n25,succ(n2)),sum(pred(n2),n1)) != sum(n0,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[1087,1583,theory(equality)]) ).

cnf(1589,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | n4 != sum(n0,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1586,1057,theory(equality)]),354,theory(equality)]),1031,theory(equality)]),980,theory(equality)]),953,theory(equality)]) ).

cnf(1590,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1589,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),1003,theory(equality)]) ).

cnf(1591,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1590,theory(equality)]) ).

cnf(1593,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | sum(sum(n25,succ(n1)),sum(pred(n1),n1)) != sum(n0,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[1087,1591,theory(equality)]) ).

cnf(1596,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | n2 != sum(n0,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1593,1058,theory(equality)]),355,theory(equality)]),1032,theory(equality)]),1006,theory(equality)]),980,theory(equality)]) ).

cnf(1597,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1596,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),1005,theory(equality)]) ).

cnf(1598,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk1_0 = n25 ),
    inference(cn,[status(thm)],[1597,theory(equality)]) ).

cnf(1623,plain,
    ( esk1_0 = n24
    | esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n25),succ(esk2_0)),sum(pred(esk2_0),succ(n25))) != sum(sum(pred(n25),succ(n25)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,1598,theory(equality)]) ).

cnf(1624,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n24
    | esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n25),n1),sum(n25,succ(n25))) != sum(sum(pred(n25),succ(n25)),n0) ),
    inference(spm,[status(thm)],[1115,1598,theory(equality)]) ).

cnf(1625,plain,
    ( esk1_0 = n24
    | esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n24,succ(esk2_0)),sum(pred(esk2_0),n0)) != sum(sum(pred(n25),succ(n25)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[1623,1008,theory(equality)]),1034,theory(equality)]) ).

cnf(1626,plain,
    ( esk1_0 = n24
    | esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n24,succ(esk2_0)),sum(pred(esk2_0),n0)) != sum(n24,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1625,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]) ).

cnf(1627,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n24
    | esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | 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
    | n24 != sum(sum(pred(n25),succ(n25)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1624,1008,theory(equality)]),382,theory(equality)]),1034,theory(equality)]),357,theory(equality)]),332,theory(equality)]) ).

cnf(1628,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n24
    | esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | 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
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1627,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),383,theory(equality)]) ).

cnf(1629,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n24
    | esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | 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(cn,[status(thm)],[1628,theory(equality)]) ).

cnf(1659,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n24,succ(n25)),sum(pred(n25),n0)) != sum(n24,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[1626,1629,theory(equality)]) ).

cnf(1662,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n22 != sum(n24,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1659,1034,theory(equality)]),383,theory(equality)]),1008,theory(equality)]),383,theory(equality)]),359,theory(equality)]) ).

cnf(1663,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1662,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),359,theory(equality)]) ).

cnf(1664,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1663,theory(equality)]) ).

cnf(1689,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n24,succ(n24)),sum(pred(n24),n0)) != sum(n24,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[1626,1664,theory(equality)]) ).

cnf(1692,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n20 != sum(n24,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1689,1035,theory(equality)]),358,theory(equality)]),1009,theory(equality)]),409,theory(equality)]),386,theory(equality)]) ).

cnf(1693,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1692,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),361,theory(equality)]) ).

cnf(1694,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[1693,theory(equality)]) ).

cnf(1718,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n24,succ(n23)),sum(pred(n23),n0)) != sum(n24,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[1626,1694,theory(equality)]) ).

cnf(1721,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n18 != sum(n24,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1718,1036,theory(equality)]),359,theory(equality)]),1010,theory(equality)]),435,theory(equality)]),413,theory(equality)]) ).

cnf(1722,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1721,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),363,theory(equality)]) ).

cnf(1723,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1722,theory(equality)]) ).

cnf(1746,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | sum(sum(n24,succ(n22)),sum(pred(n22),n0)) != sum(n24,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[1626,1723,theory(equality)]) ).

cnf(1749,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | n16 != sum(n24,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1746,1037,theory(equality)]),360,theory(equality)]),1011,theory(equality)]),461,theory(equality)]),440,theory(equality)]) ).

cnf(1750,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1749,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),365,theory(equality)]) ).

cnf(1751,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[1750,theory(equality)]) ).

cnf(1773,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n24,succ(n21)),sum(pred(n21),n0)) != sum(n24,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[1626,1751,theory(equality)]) ).

cnf(1776,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | 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
    | n14 != sum(n24,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1773,1038,theory(equality)]),361,theory(equality)]),1012,theory(equality)]),487,theory(equality)]),467,theory(equality)]) ).

cnf(1777,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1776,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),367,theory(equality)]) ).

cnf(1778,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1777,theory(equality)]) ).

cnf(1799,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n24,succ(n20)),sum(pred(n20),n0)) != sum(n24,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[1626,1778,theory(equality)]) ).

cnf(1802,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | n12 != sum(n24,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1799,1039,theory(equality)]),362,theory(equality)]),1013,theory(equality)]),513,theory(equality)]),494,theory(equality)]) ).

cnf(1803,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1802,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),369,theory(equality)]) ).

cnf(1804,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[1803,theory(equality)]) ).

cnf(1824,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n24,succ(n19)),sum(pred(n19),n0)) != sum(n24,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[1626,1804,theory(equality)]) ).

cnf(1827,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n24,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1824,1040,theory(equality)]),363,theory(equality)]),1014,theory(equality)]),539,theory(equality)]),521,theory(equality)]) ).

cnf(1828,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1827,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),371,theory(equality)]) ).

cnf(1829,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1828,theory(equality)]) ).

cnf(1848,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n24,succ(n18)),sum(pred(n18),n0)) != sum(n24,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[1626,1829,theory(equality)]) ).

cnf(1851,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n8 != sum(n24,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1848,1041,theory(equality)]),364,theory(equality)]),1015,theory(equality)]),565,theory(equality)]),548,theory(equality)]) ).

cnf(1852,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1851,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),373,theory(equality)]) ).

cnf(1853,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[1852,theory(equality)]) ).

cnf(1871,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n24,succ(n17)),sum(pred(n17),n0)) != sum(n24,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[1626,1853,theory(equality)]) ).

cnf(1874,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n24,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1871,1042,theory(equality)]),365,theory(equality)]),1016,theory(equality)]),591,theory(equality)]),575,theory(equality)]) ).

cnf(1875,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1874,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),375,theory(equality)]) ).

cnf(1876,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1875,theory(equality)]) ).

cnf(1893,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n24,succ(n16)),sum(pred(n16),n0)) != sum(n24,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[1626,1876,theory(equality)]) ).

cnf(1896,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n4 != sum(n24,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1893,1043,theory(equality)]),366,theory(equality)]),1017,theory(equality)]),617,theory(equality)]),602,theory(equality)]) ).

cnf(1897,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1896,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),377,theory(equality)]) ).

cnf(1898,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[1897,theory(equality)]) ).

cnf(1923,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n24,succ(n15)),sum(pred(n15),n0)) != sum(n24,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[1626,1898,theory(equality)]) ).

cnf(1926,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n24,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1923,1044,theory(equality)]),367,theory(equality)]),1018,theory(equality)]),643,theory(equality)]),629,theory(equality)]) ).

cnf(1927,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1926,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),379,theory(equality)]) ).

cnf(1928,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1927,theory(equality)]) ).

cnf(1943,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n24,succ(n14)),sum(pred(n14),n0)) != sum(n24,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[1626,1928,theory(equality)]) ).

cnf(1946,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n0 != sum(n24,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1943,1045,theory(equality)]),368,theory(equality)]),1019,theory(equality)]),669,theory(equality)]),656,theory(equality)]) ).

cnf(1947,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1946,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),381,theory(equality)]) ).

cnf(1948,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[1947,theory(equality)]) ).

cnf(1962,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n24,succ(n13)),sum(pred(n13),n0)) != sum(n24,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[1626,1948,theory(equality)]) ).

cnf(1965,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n24 != sum(n24,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1962,1046,theory(equality)]),369,theory(equality)]),1020,theory(equality)]),695,theory(equality)]),683,theory(equality)]) ).

cnf(1966,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1965,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),383,theory(equality)]) ).

cnf(1967,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[1966,theory(equality)]) ).

cnf(1980,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n24,succ(n12)),sum(pred(n12),n0)) != sum(n24,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[1626,1967,theory(equality)]) ).

cnf(1983,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n22 != sum(n24,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1980,1047,theory(equality)]),370,theory(equality)]),1021,theory(equality)]),721,theory(equality)]),710,theory(equality)]) ).

cnf(1984,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1983,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),359,theory(equality)]) ).

cnf(1985,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[1984,theory(equality)]) ).

cnf(1997,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n24,succ(n11)),sum(pred(n11),n0)) != sum(n24,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[1626,1985,theory(equality)]) ).

cnf(2000,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n24,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1997,1048,theory(equality)]),371,theory(equality)]),1022,theory(equality)]),747,theory(equality)]),737,theory(equality)]) ).

cnf(2001,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2000,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),361,theory(equality)]) ).

cnf(2002,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2001,theory(equality)]) ).

cnf(2013,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n24,succ(n10)),sum(pred(n10),n0)) != sum(n24,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[1626,2002,theory(equality)]) ).

cnf(2016,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n18 != sum(n24,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2013,1049,theory(equality)]),372,theory(equality)]),1023,theory(equality)]),773,theory(equality)]),764,theory(equality)]) ).

cnf(2017,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2016,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),363,theory(equality)]) ).

cnf(2018,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[2017,theory(equality)]) ).

cnf(2028,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n24,succ(n9)),sum(pred(n9),n0)) != sum(n24,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[1626,2018,theory(equality)]) ).

cnf(2031,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n24,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2028,1050,theory(equality)]),373,theory(equality)]),1024,theory(equality)]),799,theory(equality)]),791,theory(equality)]) ).

cnf(2032,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2031,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),365,theory(equality)]) ).

cnf(2033,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2032,theory(equality)]) ).

cnf(2042,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n24,succ(n8)),sum(pred(n8),n0)) != sum(n24,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[1626,2033,theory(equality)]) ).

cnf(2045,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n14 != sum(n24,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2042,1051,theory(equality)]),374,theory(equality)]),1025,theory(equality)]),825,theory(equality)]),818,theory(equality)]) ).

cnf(2046,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2045,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),367,theory(equality)]) ).

cnf(2047,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[2046,theory(equality)]) ).

cnf(2055,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n24,succ(n7)),sum(pred(n7),n0)) != sum(n24,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[1626,2047,theory(equality)]) ).

cnf(2058,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n24,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2055,1052,theory(equality)]),375,theory(equality)]),1026,theory(equality)]),851,theory(equality)]),845,theory(equality)]) ).

cnf(2059,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2058,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),369,theory(equality)]) ).

cnf(2060,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2059,theory(equality)]) ).

cnf(2067,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n24,succ(n6)),sum(pred(n6),n0)) != sum(n24,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[1626,2060,theory(equality)]) ).

cnf(2070,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n10 != sum(n24,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2067,1053,theory(equality)]),376,theory(equality)]),1027,theory(equality)]),877,theory(equality)]),872,theory(equality)]) ).

cnf(2071,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2070,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),371,theory(equality)]) ).

cnf(2072,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[2071,theory(equality)]) ).

cnf(2078,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n24,succ(n5)),sum(pred(n5),n0)) != sum(n24,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[1626,2072,theory(equality)]) ).

cnf(2081,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n24,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2078,1054,theory(equality)]),377,theory(equality)]),1028,theory(equality)]),903,theory(equality)]),899,theory(equality)]) ).

cnf(2082,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2081,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),373,theory(equality)]) ).

cnf(2083,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2082,theory(equality)]) ).

cnf(2088,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n24,succ(n4)),sum(pred(n4),n0)) != sum(n24,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[1626,2083,theory(equality)]) ).

cnf(2091,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n6 != sum(n24,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2088,1055,theory(equality)]),378,theory(equality)]),1029,theory(equality)]),929,theory(equality)]),926,theory(equality)]) ).

cnf(2092,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2091,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),375,theory(equality)]) ).

cnf(2093,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[2092,theory(equality)]) ).

cnf(2097,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n24,succ(n3)),sum(pred(n3),n0)) != sum(n24,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[1626,2093,theory(equality)]) ).

cnf(2100,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n24,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2097,1056,theory(equality)]),379,theory(equality)]),1030,theory(equality)]),955,theory(equality)]),953,theory(equality)]) ).

cnf(2101,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2100,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),377,theory(equality)]) ).

cnf(2102,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2101,theory(equality)]) ).

cnf(2105,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | sum(sum(n24,succ(n2)),sum(pred(n2),n0)) != sum(n24,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[1626,2102,theory(equality)]) ).

cnf(2108,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | n2 != sum(n24,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2105,1057,theory(equality)]),380,theory(equality)]),1031,theory(equality)]),981,theory(equality)]),980,theory(equality)]) ).

cnf(2109,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2108,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),379,theory(equality)]) ).

cnf(2110,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2109,theory(equality)]) ).

cnf(2112,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | sum(sum(n24,succ(n1)),sum(pred(n1),n0)) != sum(n24,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[1626,2110,theory(equality)]) ).

cnf(2115,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | n0 != sum(n24,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2112,1058,theory(equality)]),381,theory(equality)]),1032,theory(equality)]),1007,theory(equality)]),1007,theory(equality)]) ).

cnf(2116,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2115,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),381,theory(equality)]) ).

cnf(2117,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk1_0 = n24 ),
    inference(cn,[status(thm)],[2116,theory(equality)]) ).

cnf(2141,plain,
    ( esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n24),succ(esk2_0)),sum(pred(esk2_0),succ(n24))) != sum(sum(pred(n24),succ(n24)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,2117,theory(equality)]) ).

cnf(2142,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n24),n1),sum(n25,succ(n24))) != sum(sum(pred(n24),succ(n24)),n0) ),
    inference(spm,[status(thm)],[1115,2117,theory(equality)]) ).

cnf(2143,plain,
    ( esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n23,succ(esk2_0)),sum(pred(esk2_0),n25)) != sum(sum(pred(n24),succ(n24)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[2141,1009,theory(equality)]),1035,theory(equality)]) ).

cnf(2144,plain,
    ( esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n23,succ(esk2_0)),sum(pred(esk2_0),n25)) != sum(n22,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2143,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]) ).

cnf(2145,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | 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
    | n22 != sum(sum(pred(n24),succ(n24)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2142,1009,theory(equality)]),408,theory(equality)]),1035,theory(equality)]),332,theory(equality)]),359,theory(equality)]) ).

cnf(2146,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | 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
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2145,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),435,theory(equality)]) ).

cnf(2147,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n23
    | esk1_0 = n22
    | esk1_0 = n21
    | 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(cn,[status(thm)],[2146,theory(equality)]) ).

cnf(2177,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n23,succ(n25)),sum(pred(n25),n25)) != sum(n22,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[2144,2147,theory(equality)]) ).

cnf(2180,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n20 != sum(n22,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2177,1034,theory(equality)]),409,theory(equality)]),1008,theory(equality)]),358,theory(equality)]),386,theory(equality)]) ).

cnf(2181,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2180,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),411,theory(equality)]) ).

cnf(2182,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2181,theory(equality)]) ).

cnf(2207,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n23,succ(n24)),sum(pred(n24),n25)) != sum(n22,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[2144,2182,theory(equality)]) ).

cnf(2210,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n18 != sum(n22,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2207,1035,theory(equality)]),384,theory(equality)]),1009,theory(equality)]),384,theory(equality)]),413,theory(equality)]) ).

cnf(2211,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2210,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),413,theory(equality)]) ).

cnf(2212,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[2211,theory(equality)]) ).

cnf(2236,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n23,succ(n23)),sum(pred(n23),n25)) != sum(n22,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[2144,2212,theory(equality)]) ).

cnf(2239,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n16 != sum(n22,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2236,1036,theory(equality)]),385,theory(equality)]),1010,theory(equality)]),410,theory(equality)]),440,theory(equality)]) ).

cnf(2240,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2239,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),415,theory(equality)]) ).

cnf(2241,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2240,theory(equality)]) ).

cnf(2266,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | sum(sum(n23,succ(n22)),sum(pred(n22),n25)) != sum(n22,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[2144,2241,theory(equality)]) ).

cnf(2269,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | n14 != sum(n22,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2266,1037,theory(equality)]),386,theory(equality)]),1011,theory(equality)]),436,theory(equality)]),467,theory(equality)]) ).

cnf(2270,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2269,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),417,theory(equality)]) ).

cnf(2271,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[2270,theory(equality)]) ).

cnf(2293,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n23,succ(n21)),sum(pred(n21),n25)) != sum(n22,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[2144,2271,theory(equality)]) ).

cnf(2296,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | 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
    | n12 != sum(n22,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2293,1038,theory(equality)]),387,theory(equality)]),1012,theory(equality)]),462,theory(equality)]),494,theory(equality)]) ).

cnf(2297,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2296,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),419,theory(equality)]) ).

cnf(2298,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2297,theory(equality)]) ).

cnf(2319,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n23,succ(n20)),sum(pred(n20),n25)) != sum(n22,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[2144,2298,theory(equality)]) ).

cnf(2322,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | n10 != sum(n22,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2319,1039,theory(equality)]),388,theory(equality)]),1013,theory(equality)]),488,theory(equality)]),521,theory(equality)]) ).

cnf(2323,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2322,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),421,theory(equality)]) ).

cnf(2324,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[2323,theory(equality)]) ).

cnf(2344,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n23,succ(n19)),sum(pred(n19),n25)) != sum(n22,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[2144,2324,theory(equality)]) ).

cnf(2347,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n22,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2344,1040,theory(equality)]),389,theory(equality)]),1014,theory(equality)]),514,theory(equality)]),548,theory(equality)]) ).

cnf(2348,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2347,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),423,theory(equality)]) ).

cnf(2349,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2348,theory(equality)]) ).

cnf(2368,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n23,succ(n18)),sum(pred(n18),n25)) != sum(n22,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[2144,2349,theory(equality)]) ).

cnf(2371,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n6 != sum(n22,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2368,1041,theory(equality)]),390,theory(equality)]),1015,theory(equality)]),540,theory(equality)]),575,theory(equality)]) ).

cnf(2372,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2371,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),425,theory(equality)]) ).

cnf(2373,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[2372,theory(equality)]) ).

cnf(2391,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n23,succ(n17)),sum(pred(n17),n25)) != sum(n22,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[2144,2373,theory(equality)]) ).

cnf(2394,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n22,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2391,1042,theory(equality)]),391,theory(equality)]),1016,theory(equality)]),566,theory(equality)]),602,theory(equality)]) ).

cnf(2395,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2394,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),427,theory(equality)]) ).

cnf(2396,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2395,theory(equality)]) ).

cnf(2413,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n23,succ(n16)),sum(pred(n16),n25)) != sum(n22,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[2144,2396,theory(equality)]) ).

cnf(2416,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n2 != sum(n22,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2413,1043,theory(equality)]),392,theory(equality)]),1017,theory(equality)]),592,theory(equality)]),629,theory(equality)]) ).

cnf(2417,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2416,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),429,theory(equality)]) ).

cnf(2418,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[2417,theory(equality)]) ).

cnf(2434,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n23,succ(n15)),sum(pred(n15),n25)) != sum(n22,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[2144,2418,theory(equality)]) ).

cnf(2437,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n22,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2434,1044,theory(equality)]),393,theory(equality)]),1018,theory(equality)]),618,theory(equality)]),656,theory(equality)]) ).

cnf(2438,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2437,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),431,theory(equality)]) ).

cnf(2439,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2438,theory(equality)]) ).

cnf(2454,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n23,succ(n14)),sum(pred(n14),n25)) != sum(n22,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[2144,2439,theory(equality)]) ).

cnf(2457,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n24 != sum(n22,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2454,1045,theory(equality)]),394,theory(equality)]),1019,theory(equality)]),644,theory(equality)]),683,theory(equality)]) ).

cnf(2458,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2457,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),433,theory(equality)]) ).

cnf(2459,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[2458,theory(equality)]) ).

cnf(2473,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n23,succ(n13)),sum(pred(n13),n25)) != sum(n22,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[2144,2459,theory(equality)]) ).

cnf(2476,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n22 != sum(n22,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2473,1046,theory(equality)]),395,theory(equality)]),1020,theory(equality)]),670,theory(equality)]),710,theory(equality)]) ).

cnf(2477,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2476,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),435,theory(equality)]) ).

cnf(2478,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2477,theory(equality)]) ).

cnf(2491,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n23,succ(n12)),sum(pred(n12),n25)) != sum(n22,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[2144,2478,theory(equality)]) ).

cnf(2494,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n20 != sum(n22,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2491,1047,theory(equality)]),396,theory(equality)]),1021,theory(equality)]),696,theory(equality)]),737,theory(equality)]) ).

cnf(2495,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2494,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),411,theory(equality)]) ).

cnf(2496,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[2495,theory(equality)]) ).

cnf(2508,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n23,succ(n11)),sum(pred(n11),n25)) != sum(n22,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[2144,2496,theory(equality)]) ).

cnf(2511,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n22,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2508,1048,theory(equality)]),397,theory(equality)]),1022,theory(equality)]),722,theory(equality)]),764,theory(equality)]) ).

cnf(2512,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2511,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),413,theory(equality)]) ).

cnf(2513,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2512,theory(equality)]) ).

cnf(2524,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n23,succ(n10)),sum(pred(n10),n25)) != sum(n22,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[2144,2513,theory(equality)]) ).

cnf(2527,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n16 != sum(n22,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2524,1049,theory(equality)]),398,theory(equality)]),1023,theory(equality)]),748,theory(equality)]),791,theory(equality)]) ).

cnf(2528,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2527,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),415,theory(equality)]) ).

cnf(2529,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[2528,theory(equality)]) ).

cnf(2539,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n23,succ(n9)),sum(pred(n9),n25)) != sum(n22,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[2144,2529,theory(equality)]) ).

cnf(2542,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n22,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2539,1050,theory(equality)]),399,theory(equality)]),1024,theory(equality)]),774,theory(equality)]),818,theory(equality)]) ).

cnf(2543,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2542,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),417,theory(equality)]) ).

cnf(2544,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2543,theory(equality)]) ).

cnf(2553,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n23,succ(n8)),sum(pred(n8),n25)) != sum(n22,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[2144,2544,theory(equality)]) ).

cnf(2556,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n12 != sum(n22,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2553,1051,theory(equality)]),400,theory(equality)]),1025,theory(equality)]),800,theory(equality)]),845,theory(equality)]) ).

cnf(2557,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2556,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),419,theory(equality)]) ).

cnf(2558,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[2557,theory(equality)]) ).

cnf(2566,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n23,succ(n7)),sum(pred(n7),n25)) != sum(n22,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[2144,2558,theory(equality)]) ).

cnf(2569,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n22,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2566,1052,theory(equality)]),401,theory(equality)]),1026,theory(equality)]),826,theory(equality)]),872,theory(equality)]) ).

cnf(2570,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2569,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),421,theory(equality)]) ).

cnf(2571,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2570,theory(equality)]) ).

cnf(2578,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n23,succ(n6)),sum(pred(n6),n25)) != sum(n22,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[2144,2571,theory(equality)]) ).

cnf(2581,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n8 != sum(n22,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2578,1053,theory(equality)]),402,theory(equality)]),1027,theory(equality)]),852,theory(equality)]),899,theory(equality)]) ).

cnf(2582,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2581,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),423,theory(equality)]) ).

cnf(2583,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[2582,theory(equality)]) ).

cnf(2589,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n23,succ(n5)),sum(pred(n5),n25)) != sum(n22,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[2144,2583,theory(equality)]) ).

cnf(2592,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n22,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2589,1054,theory(equality)]),403,theory(equality)]),1028,theory(equality)]),878,theory(equality)]),926,theory(equality)]) ).

cnf(2593,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2592,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),425,theory(equality)]) ).

cnf(2594,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2593,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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n23,succ(n4)),sum(pred(n4),n25)) != sum(n22,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[2144,2594,theory(equality)]) ).

cnf(2602,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n4 != sum(n22,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2599,1055,theory(equality)]),404,theory(equality)]),1029,theory(equality)]),904,theory(equality)]),953,theory(equality)]) ).

cnf(2603,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2602,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),427,theory(equality)]) ).

cnf(2604,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[2603,theory(equality)]) ).

cnf(2608,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n23,succ(n3)),sum(pred(n3),n25)) != sum(n22,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[2144,2604,theory(equality)]) ).

cnf(2611,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n22,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2608,1056,theory(equality)]),405,theory(equality)]),1030,theory(equality)]),930,theory(equality)]),980,theory(equality)]) ).

cnf(2612,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2611,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),429,theory(equality)]) ).

cnf(2613,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2612,theory(equality)]) ).

cnf(2616,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | sum(sum(n23,succ(n2)),sum(pred(n2),n25)) != sum(n22,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[2144,2613,theory(equality)]) ).

cnf(2619,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | n0 != sum(n22,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2616,1057,theory(equality)]),406,theory(equality)]),1031,theory(equality)]),956,theory(equality)]),1007,theory(equality)]) ).

cnf(2620,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2619,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),431,theory(equality)]) ).

cnf(2621,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2620,theory(equality)]) ).

cnf(2623,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | sum(sum(n23,succ(n1)),sum(pred(n1),n25)) != sum(n22,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[2144,2621,theory(equality)]) ).

cnf(2626,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | n24 != sum(n22,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2623,1058,theory(equality)]),407,theory(equality)]),1032,theory(equality)]),982,theory(equality)]),332,theory(equality)]) ).

cnf(2627,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2626,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),433,theory(equality)]) ).

cnf(2628,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk1_0 = n23 ),
    inference(cn,[status(thm)],[2627,theory(equality)]) ).

cnf(2651,plain,
    ( esk1_0 = n22
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n23),succ(esk2_0)),sum(pred(esk2_0),succ(n23))) != sum(sum(pred(n23),succ(n23)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,2628,theory(equality)]) ).

cnf(2652,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n22
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n23),n1),sum(n25,succ(n23))) != sum(sum(pred(n23),succ(n23)),n0) ),
    inference(spm,[status(thm)],[1115,2628,theory(equality)]) ).

cnf(2653,plain,
    ( esk1_0 = n22
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n22,succ(esk2_0)),sum(pred(esk2_0),n24)) != sum(sum(pred(n23),succ(n23)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[2651,1010,theory(equality)]),1036,theory(equality)]) ).

cnf(2654,plain,
    ( esk1_0 = n22
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n22,succ(esk2_0)),sum(pred(esk2_0),n24)) != sum(n20,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2653,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]) ).

cnf(2655,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n22
    | esk1_0 = n21
    | 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
    | n20 != sum(sum(pred(n23),succ(n23)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2652,1010,theory(equality)]),434,theory(equality)]),1036,theory(equality)]),333,theory(equality)]),386,theory(equality)]) ).

cnf(2656,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n22
    | esk1_0 = n21
    | 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
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2655,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),487,theory(equality)]) ).

cnf(2657,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n22
    | esk1_0 = n21
    | 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(cn,[status(thm)],[2656,theory(equality)]) ).

cnf(2687,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n22,succ(n25)),sum(pred(n25),n24)) != sum(n20,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[2654,2657,theory(equality)]) ).

cnf(2690,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n18 != sum(n20,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2687,1034,theory(equality)]),435,theory(equality)]),1008,theory(equality)]),359,theory(equality)]),413,theory(equality)]) ).

cnf(2691,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2690,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),463,theory(equality)]) ).

cnf(2692,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2691,theory(equality)]) ).

cnf(2717,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n22,succ(n24)),sum(pred(n24),n24)) != sum(n20,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[2654,2692,theory(equality)]) ).

cnf(2720,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n16 != sum(n20,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2717,1035,theory(equality)]),410,theory(equality)]),1009,theory(equality)]),385,theory(equality)]),440,theory(equality)]) ).

cnf(2721,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2720,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),465,theory(equality)]) ).

cnf(2722,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[2721,theory(equality)]) ).

cnf(2746,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n22,succ(n23)),sum(pred(n23),n24)) != sum(n20,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[2654,2722,theory(equality)]) ).

cnf(2749,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n14 != sum(n20,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2746,1036,theory(equality)]),411,theory(equality)]),1010,theory(equality)]),411,theory(equality)]),467,theory(equality)]) ).

cnf(2750,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2749,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),467,theory(equality)]) ).

cnf(2751,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2750,theory(equality)]) ).

cnf(2774,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | sum(sum(n22,succ(n22)),sum(pred(n22),n24)) != sum(n20,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[2654,2751,theory(equality)]) ).

cnf(2777,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | n12 != sum(n20,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2774,1037,theory(equality)]),412,theory(equality)]),1011,theory(equality)]),437,theory(equality)]),494,theory(equality)]) ).

cnf(2778,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2777,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),469,theory(equality)]) ).

cnf(2779,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[2778,theory(equality)]) ).

cnf(2801,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n22,succ(n21)),sum(pred(n21),n24)) != sum(n20,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[2654,2779,theory(equality)]) ).

cnf(2804,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | 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
    | n10 != sum(n20,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2801,1038,theory(equality)]),413,theory(equality)]),1012,theory(equality)]),463,theory(equality)]),521,theory(equality)]) ).

cnf(2805,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2804,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),471,theory(equality)]) ).

cnf(2806,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2805,theory(equality)]) ).

cnf(2831,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n22,succ(n20)),sum(pred(n20),n24)) != sum(n20,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[2654,2806,theory(equality)]) ).

cnf(2834,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | n8 != sum(n20,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2831,1039,theory(equality)]),414,theory(equality)]),1013,theory(equality)]),489,theory(equality)]),548,theory(equality)]) ).

cnf(2835,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2834,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),473,theory(equality)]) ).

cnf(2836,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[2835,theory(equality)]) ).

cnf(2856,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n22,succ(n19)),sum(pred(n19),n24)) != sum(n20,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[2654,2836,theory(equality)]) ).

cnf(2859,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n20,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2856,1040,theory(equality)]),415,theory(equality)]),1014,theory(equality)]),515,theory(equality)]),575,theory(equality)]) ).

cnf(2860,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2859,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),475,theory(equality)]) ).

cnf(2861,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2860,theory(equality)]) ).

cnf(2880,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n22,succ(n18)),sum(pred(n18),n24)) != sum(n20,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[2654,2861,theory(equality)]) ).

cnf(2883,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n4 != sum(n20,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2880,1041,theory(equality)]),416,theory(equality)]),1015,theory(equality)]),541,theory(equality)]),602,theory(equality)]) ).

cnf(2884,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2883,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),477,theory(equality)]) ).

cnf(2885,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[2884,theory(equality)]) ).

cnf(2903,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n22,succ(n17)),sum(pred(n17),n24)) != sum(n20,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[2654,2885,theory(equality)]) ).

cnf(2906,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n20,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2903,1042,theory(equality)]),417,theory(equality)]),1016,theory(equality)]),567,theory(equality)]),629,theory(equality)]) ).

cnf(2907,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2906,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),479,theory(equality)]) ).

cnf(2908,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2907,theory(equality)]) ).

cnf(2925,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n22,succ(n16)),sum(pred(n16),n24)) != sum(n20,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[2654,2908,theory(equality)]) ).

cnf(2928,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n0 != sum(n20,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2925,1043,theory(equality)]),418,theory(equality)]),1017,theory(equality)]),593,theory(equality)]),656,theory(equality)]) ).

cnf(2929,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2928,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),481,theory(equality)]) ).

cnf(2930,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[2929,theory(equality)]) ).

cnf(2946,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n22,succ(n15)),sum(pred(n15),n24)) != sum(n20,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[2654,2930,theory(equality)]) ).

cnf(2949,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n24 != sum(n20,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2946,1044,theory(equality)]),419,theory(equality)]),1018,theory(equality)]),619,theory(equality)]),683,theory(equality)]) ).

cnf(2950,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2949,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),483,theory(equality)]) ).

cnf(2951,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2950,theory(equality)]) ).

cnf(2966,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n22,succ(n14)),sum(pred(n14),n24)) != sum(n20,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[2654,2951,theory(equality)]) ).

cnf(2969,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n22 != sum(n20,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2966,1045,theory(equality)]),420,theory(equality)]),1019,theory(equality)]),645,theory(equality)]),710,theory(equality)]) ).

cnf(2970,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2969,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),485,theory(equality)]) ).

cnf(2971,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[2970,theory(equality)]) ).

cnf(2985,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n22,succ(n13)),sum(pred(n13),n24)) != sum(n20,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[2654,2971,theory(equality)]) ).

cnf(2988,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n20,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2985,1046,theory(equality)]),421,theory(equality)]),1020,theory(equality)]),671,theory(equality)]),737,theory(equality)]) ).

cnf(2989,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2988,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),487,theory(equality)]) ).

cnf(2990,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[2989,theory(equality)]) ).

cnf(3003,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n22,succ(n12)),sum(pred(n12),n24)) != sum(n20,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[2654,2990,theory(equality)]) ).

cnf(3006,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n18 != sum(n20,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3003,1047,theory(equality)]),422,theory(equality)]),1021,theory(equality)]),697,theory(equality)]),764,theory(equality)]) ).

cnf(3007,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3006,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),463,theory(equality)]) ).

cnf(3008,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[3007,theory(equality)]) ).

cnf(3020,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n22,succ(n11)),sum(pred(n11),n24)) != sum(n20,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[2654,3008,theory(equality)]) ).

cnf(3023,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n20,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3020,1048,theory(equality)]),423,theory(equality)]),1022,theory(equality)]),723,theory(equality)]),791,theory(equality)]) ).

cnf(3024,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3023,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),465,theory(equality)]) ).

cnf(3025,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3024,theory(equality)]) ).

cnf(3036,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n22,succ(n10)),sum(pred(n10),n24)) != sum(n20,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[2654,3025,theory(equality)]) ).

cnf(3039,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n14 != sum(n20,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3036,1049,theory(equality)]),424,theory(equality)]),1023,theory(equality)]),749,theory(equality)]),818,theory(equality)]) ).

cnf(3040,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3039,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),467,theory(equality)]) ).

cnf(3041,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[3040,theory(equality)]) ).

cnf(3051,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n22,succ(n9)),sum(pred(n9),n24)) != sum(n20,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[2654,3041,theory(equality)]) ).

cnf(3054,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n20,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3051,1050,theory(equality)]),425,theory(equality)]),1024,theory(equality)]),775,theory(equality)]),845,theory(equality)]) ).

cnf(3055,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3054,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),469,theory(equality)]) ).

cnf(3056,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3055,theory(equality)]) ).

cnf(3065,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n22,succ(n8)),sum(pred(n8),n24)) != sum(n20,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[2654,3056,theory(equality)]) ).

cnf(3068,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n10 != sum(n20,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3065,1051,theory(equality)]),426,theory(equality)]),1025,theory(equality)]),801,theory(equality)]),872,theory(equality)]) ).

cnf(3069,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3068,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),471,theory(equality)]) ).

cnf(3070,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[3069,theory(equality)]) ).

cnf(3078,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n22,succ(n7)),sum(pred(n7),n24)) != sum(n20,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[2654,3070,theory(equality)]) ).

cnf(3081,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n20,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3078,1052,theory(equality)]),427,theory(equality)]),1026,theory(equality)]),827,theory(equality)]),899,theory(equality)]) ).

cnf(3082,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3081,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),473,theory(equality)]) ).

cnf(3083,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3082,theory(equality)]) ).

cnf(3090,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n22,succ(n6)),sum(pred(n6),n24)) != sum(n20,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[2654,3083,theory(equality)]) ).

cnf(3093,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n6 != sum(n20,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3090,1053,theory(equality)]),428,theory(equality)]),1027,theory(equality)]),853,theory(equality)]),926,theory(equality)]) ).

cnf(3094,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3093,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),475,theory(equality)]) ).

cnf(3095,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[3094,theory(equality)]) ).

cnf(3101,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n22,succ(n5)),sum(pred(n5),n24)) != sum(n20,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[2654,3095,theory(equality)]) ).

cnf(3104,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n20,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3101,1054,theory(equality)]),429,theory(equality)]),1028,theory(equality)]),879,theory(equality)]),953,theory(equality)]) ).

cnf(3105,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3104,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),477,theory(equality)]) ).

cnf(3106,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3105,theory(equality)]) ).

cnf(3111,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n22,succ(n4)),sum(pred(n4),n24)) != sum(n20,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[2654,3106,theory(equality)]) ).

cnf(3114,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n2 != sum(n20,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3111,1055,theory(equality)]),430,theory(equality)]),1029,theory(equality)]),905,theory(equality)]),980,theory(equality)]) ).

cnf(3115,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3114,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),479,theory(equality)]) ).

cnf(3116,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[3115,theory(equality)]) ).

cnf(3120,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n22,succ(n3)),sum(pred(n3),n24)) != sum(n20,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[2654,3116,theory(equality)]) ).

cnf(3123,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n20,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3120,1056,theory(equality)]),431,theory(equality)]),1030,theory(equality)]),931,theory(equality)]),1007,theory(equality)]) ).

cnf(3124,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3123,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),481,theory(equality)]) ).

cnf(3125,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3124,theory(equality)]) ).

cnf(3128,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | sum(sum(n22,succ(n2)),sum(pred(n2),n24)) != sum(n20,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[2654,3125,theory(equality)]) ).

cnf(3131,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | n24 != sum(n20,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3128,1057,theory(equality)]),432,theory(equality)]),1031,theory(equality)]),957,theory(equality)]),332,theory(equality)]) ).

cnf(3132,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3131,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),483,theory(equality)]) ).

cnf(3133,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3132,theory(equality)]) ).

cnf(3135,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | sum(sum(n22,succ(n1)),sum(pred(n1),n24)) != sum(n20,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[2654,3133,theory(equality)]) ).

cnf(3138,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | n22 != sum(n20,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3135,1058,theory(equality)]),433,theory(equality)]),1032,theory(equality)]),983,theory(equality)]),359,theory(equality)]) ).

cnf(3139,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3138,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),485,theory(equality)]) ).

cnf(3140,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk1_0 = n22 ),
    inference(cn,[status(thm)],[3139,theory(equality)]) ).

cnf(3162,plain,
    ( esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n22),succ(esk2_0)),sum(pred(esk2_0),succ(n22))) != sum(sum(pred(n22),succ(n22)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,3140,theory(equality)]) ).

cnf(3163,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n22),n1),sum(n25,succ(n22))) != sum(sum(pred(n22),succ(n22)),n0) ),
    inference(spm,[status(thm)],[1115,3140,theory(equality)]) ).

cnf(3164,plain,
    ( esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n21,succ(esk2_0)),sum(pred(esk2_0),n23)) != sum(sum(pred(n22),succ(n22)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[3162,1011,theory(equality)]),1037,theory(equality)]) ).

cnf(3165,plain,
    ( esk1_0 = n21
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n21,succ(esk2_0)),sum(pred(esk2_0),n23)) != sum(n18,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3164,1011,theory(equality)]),1037,theory(equality)]),438,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
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n21
    | 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
    | n18 != sum(sum(pred(n22),succ(n22)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3163,1011,theory(equality)]),460,theory(equality)]),1037,theory(equality)]),334,theory(equality)]),413,theory(equality)]) ).

cnf(3167,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n21
    | 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
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3166,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),539,theory(equality)]) ).

cnf(3168,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n21
    | 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(cn,[status(thm)],[3167,theory(equality)]) ).

cnf(3198,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n21,succ(n25)),sum(pred(n25),n23)) != sum(n18,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[3165,3168,theory(equality)]) ).

cnf(3201,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n16 != sum(n18,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3198,1034,theory(equality)]),461,theory(equality)]),1008,theory(equality)]),360,theory(equality)]),440,theory(equality)]) ).

cnf(3202,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3201,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),515,theory(equality)]) ).

cnf(3203,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3202,theory(equality)]) ).

cnf(3228,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n21,succ(n24)),sum(pred(n24),n23)) != sum(n18,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[3165,3203,theory(equality)]) ).

cnf(3231,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n14 != sum(n18,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3228,1035,theory(equality)]),436,theory(equality)]),1009,theory(equality)]),386,theory(equality)]),467,theory(equality)]) ).

cnf(3232,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3231,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),517,theory(equality)]) ).

cnf(3233,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[3232,theory(equality)]) ).

cnf(3257,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n21,succ(n23)),sum(pred(n23),n23)) != sum(n18,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[3165,3233,theory(equality)]) ).

cnf(3260,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n12 != sum(n18,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3257,1036,theory(equality)]),437,theory(equality)]),1010,theory(equality)]),412,theory(equality)]),494,theory(equality)]) ).

cnf(3261,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3260,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),519,theory(equality)]) ).

cnf(3262,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3261,theory(equality)]) ).

cnf(3285,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | sum(sum(n21,succ(n22)),sum(pred(n22),n23)) != sum(n18,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[3165,3262,theory(equality)]) ).

cnf(3288,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | n10 != sum(n18,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3285,1037,theory(equality)]),438,theory(equality)]),1011,theory(equality)]),438,theory(equality)]),521,theory(equality)]) ).

cnf(3289,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3288,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),521,theory(equality)]) ).

cnf(3290,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[3289,theory(equality)]) ).

cnf(3312,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n21,succ(n21)),sum(pred(n21),n23)) != sum(n18,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[3165,3290,theory(equality)]) ).

cnf(3315,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | 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
    | n8 != sum(n18,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3312,1038,theory(equality)]),439,theory(equality)]),1012,theory(equality)]),464,theory(equality)]),548,theory(equality)]) ).

cnf(3316,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3315,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),523,theory(equality)]) ).

cnf(3317,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3316,theory(equality)]) ).

cnf(3338,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n21,succ(n20)),sum(pred(n20),n23)) != sum(n18,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[3165,3317,theory(equality)]) ).

cnf(3341,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | n6 != sum(n18,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3338,1039,theory(equality)]),440,theory(equality)]),1013,theory(equality)]),490,theory(equality)]),575,theory(equality)]) ).

cnf(3342,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3341,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),525,theory(equality)]) ).

cnf(3343,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[3342,theory(equality)]) ).

cnf(3363,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n21,succ(n19)),sum(pred(n19),n23)) != sum(n18,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[3165,3343,theory(equality)]) ).

cnf(3366,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n18,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3363,1040,theory(equality)]),441,theory(equality)]),1014,theory(equality)]),516,theory(equality)]),602,theory(equality)]) ).

cnf(3367,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3366,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),527,theory(equality)]) ).

cnf(3368,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3367,theory(equality)]) ).

cnf(3387,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n21,succ(n18)),sum(pred(n18),n23)) != sum(n18,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[3165,3368,theory(equality)]) ).

cnf(3390,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n2 != sum(n18,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3387,1041,theory(equality)]),442,theory(equality)]),1015,theory(equality)]),542,theory(equality)]),629,theory(equality)]) ).

cnf(3391,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3390,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),529,theory(equality)]) ).

cnf(3392,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[3391,theory(equality)]) ).

cnf(3417,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n21,succ(n17)),sum(pred(n17),n23)) != sum(n18,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[3165,3392,theory(equality)]) ).

cnf(3420,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n18,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3417,1042,theory(equality)]),443,theory(equality)]),1016,theory(equality)]),568,theory(equality)]),656,theory(equality)]) ).

cnf(3421,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3420,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),531,theory(equality)]) ).

cnf(3422,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3421,theory(equality)]) ).

cnf(3439,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n21,succ(n16)),sum(pred(n16),n23)) != sum(n18,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[3165,3422,theory(equality)]) ).

cnf(3442,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n24 != sum(n18,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3439,1043,theory(equality)]),444,theory(equality)]),1017,theory(equality)]),594,theory(equality)]),683,theory(equality)]) ).

cnf(3443,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3442,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),533,theory(equality)]) ).

cnf(3444,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[3443,theory(equality)]) ).

cnf(3460,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n21,succ(n15)),sum(pred(n15),n23)) != sum(n18,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[3165,3444,theory(equality)]) ).

cnf(3463,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n22 != sum(n18,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3460,1044,theory(equality)]),445,theory(equality)]),1018,theory(equality)]),620,theory(equality)]),710,theory(equality)]) ).

cnf(3464,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3463,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),535,theory(equality)]) ).

cnf(3465,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3464,theory(equality)]) ).

cnf(3480,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n21,succ(n14)),sum(pred(n14),n23)) != sum(n18,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[3165,3465,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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n20 != sum(n18,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3480,1045,theory(equality)]),446,theory(equality)]),1019,theory(equality)]),646,theory(equality)]),737,theory(equality)]) ).

cnf(3484,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3483,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),537,theory(equality)]) ).

cnf(3485,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[3484,theory(equality)]) ).

cnf(3499,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n21,succ(n13)),sum(pred(n13),n23)) != sum(n18,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[3165,3485,theory(equality)]) ).

cnf(3502,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n18,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3499,1046,theory(equality)]),447,theory(equality)]),1020,theory(equality)]),672,theory(equality)]),764,theory(equality)]) ).

cnf(3503,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3502,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),539,theory(equality)]) ).

cnf(3504,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3503,theory(equality)]) ).

cnf(3517,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n21,succ(n12)),sum(pred(n12),n23)) != sum(n18,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[3165,3504,theory(equality)]) ).

cnf(3520,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n16 != sum(n18,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3517,1047,theory(equality)]),448,theory(equality)]),1021,theory(equality)]),698,theory(equality)]),791,theory(equality)]) ).

cnf(3521,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3520,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),515,theory(equality)]) ).

cnf(3522,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[3521,theory(equality)]) ).

cnf(3534,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n21,succ(n11)),sum(pred(n11),n23)) != sum(n18,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[3165,3522,theory(equality)]) ).

cnf(3537,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n18,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3534,1048,theory(equality)]),449,theory(equality)]),1022,theory(equality)]),724,theory(equality)]),818,theory(equality)]) ).

cnf(3538,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3537,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),517,theory(equality)]) ).

cnf(3539,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3538,theory(equality)]) ).

cnf(3550,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n21,succ(n10)),sum(pred(n10),n23)) != sum(n18,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[3165,3539,theory(equality)]) ).

cnf(3553,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n12 != sum(n18,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3550,1049,theory(equality)]),450,theory(equality)]),1023,theory(equality)]),750,theory(equality)]),845,theory(equality)]) ).

cnf(3554,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3553,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),519,theory(equality)]) ).

cnf(3555,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[3554,theory(equality)]) ).

cnf(3565,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n21,succ(n9)),sum(pred(n9),n23)) != sum(n18,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[3165,3555,theory(equality)]) ).

cnf(3568,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n18,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3565,1050,theory(equality)]),451,theory(equality)]),1024,theory(equality)]),776,theory(equality)]),872,theory(equality)]) ).

cnf(3569,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3568,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),521,theory(equality)]) ).

cnf(3570,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3569,theory(equality)]) ).

cnf(3579,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n21,succ(n8)),sum(pred(n8),n23)) != sum(n18,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[3165,3570,theory(equality)]) ).

cnf(3582,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n8 != sum(n18,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3579,1051,theory(equality)]),452,theory(equality)]),1025,theory(equality)]),802,theory(equality)]),899,theory(equality)]) ).

cnf(3583,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3582,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),523,theory(equality)]) ).

cnf(3584,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[3583,theory(equality)]) ).

cnf(3592,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n21,succ(n7)),sum(pred(n7),n23)) != sum(n18,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[3165,3584,theory(equality)]) ).

cnf(3595,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n18,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3592,1052,theory(equality)]),453,theory(equality)]),1026,theory(equality)]),828,theory(equality)]),926,theory(equality)]) ).

cnf(3596,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3595,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),525,theory(equality)]) ).

cnf(3597,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3596,theory(equality)]) ).

cnf(3604,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n21,succ(n6)),sum(pred(n6),n23)) != sum(n18,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[3165,3597,theory(equality)]) ).

cnf(3607,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n4 != sum(n18,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3604,1053,theory(equality)]),454,theory(equality)]),1027,theory(equality)]),854,theory(equality)]),953,theory(equality)]) ).

cnf(3608,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3607,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),527,theory(equality)]) ).

cnf(3609,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[3608,theory(equality)]) ).

cnf(3615,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n21,succ(n5)),sum(pred(n5),n23)) != sum(n18,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[3165,3609,theory(equality)]) ).

cnf(3618,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n18,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3615,1054,theory(equality)]),455,theory(equality)]),1028,theory(equality)]),880,theory(equality)]),980,theory(equality)]) ).

cnf(3619,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3618,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),529,theory(equality)]) ).

cnf(3620,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3619,theory(equality)]) ).

cnf(3625,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n21,succ(n4)),sum(pred(n4),n23)) != sum(n18,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[3165,3620,theory(equality)]) ).

cnf(3628,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n0 != sum(n18,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3625,1055,theory(equality)]),456,theory(equality)]),1029,theory(equality)]),906,theory(equality)]),1007,theory(equality)]) ).

cnf(3629,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3628,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),531,theory(equality)]) ).

cnf(3630,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[3629,theory(equality)]) ).

cnf(3634,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n21,succ(n3)),sum(pred(n3),n23)) != sum(n18,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[3165,3630,theory(equality)]) ).

cnf(3637,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n2
    | esk2_0 = n1
    | n24 != sum(n18,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3634,1056,theory(equality)]),457,theory(equality)]),1030,theory(equality)]),932,theory(equality)]),332,theory(equality)]) ).

cnf(3638,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3637,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),533,theory(equality)]) ).

cnf(3639,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk1_0 = n21
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3638,theory(equality)]) ).

cnf(3642,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | sum(sum(n21,succ(n2)),sum(pred(n2),n23)) != sum(n18,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[3165,3639,theory(equality)]) ).

cnf(3645,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | n22 != sum(n18,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3642,1057,theory(equality)]),458,theory(equality)]),1031,theory(equality)]),958,theory(equality)]),359,theory(equality)]) ).

cnf(3646,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3645,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),535,theory(equality)]) ).

cnf(3647,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3646,theory(equality)]) ).

cnf(3649,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | sum(sum(n21,succ(n1)),sum(pred(n1),n23)) != sum(n18,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[3165,3647,theory(equality)]) ).

cnf(3652,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | n20 != sum(n18,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3649,1058,theory(equality)]),459,theory(equality)]),1032,theory(equality)]),984,theory(equality)]),386,theory(equality)]) ).

cnf(3653,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3652,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),537,theory(equality)]) ).

cnf(3654,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | esk1_0 = n21 ),
    inference(cn,[status(thm)],[3653,theory(equality)]) ).

cnf(3675,plain,
    ( esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n21),succ(esk2_0)),sum(pred(esk2_0),succ(n21))) != sum(sum(pred(n21),succ(n21)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,3654,theory(equality)]) ).

cnf(3676,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n21),n1),sum(n25,succ(n21))) != sum(sum(pred(n21),succ(n21)),n0) ),
    inference(spm,[status(thm)],[1115,3654,theory(equality)]) ).

cnf(3677,plain,
    ( esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n20,succ(esk2_0)),sum(pred(esk2_0),n22)) != sum(sum(pred(n21),succ(n21)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[3675,1012,theory(equality)]),1038,theory(equality)]) ).

cnf(3678,plain,
    ( esk1_0 = n20
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n20,succ(esk2_0)),sum(pred(esk2_0),n22)) != sum(n16,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3677,1012,theory(equality)]),1038,theory(equality)]),465,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
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | 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
    | n16 != sum(sum(pred(n21),succ(n21)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3676,1012,theory(equality)]),486,theory(equality)]),1038,theory(equality)]),335,theory(equality)]),440,theory(equality)]) ).

cnf(3680,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | 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
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3679,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),591,theory(equality)]) ).

cnf(3681,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | 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(cn,[status(thm)],[3680,theory(equality)]) ).

cnf(3711,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | 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 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n25)),sum(pred(n25),n22)) != sum(n16,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[3678,3681,theory(equality)]) ).

cnf(3714,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n14 != sum(n16,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3711,1034,theory(equality)]),487,theory(equality)]),1008,theory(equality)]),361,theory(equality)]),467,theory(equality)]) ).

cnf(3715,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3714,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),567,theory(equality)]) ).

cnf(3716,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3715,theory(equality)]) ).

cnf(3741,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n20,succ(n24)),sum(pred(n24),n22)) != sum(n16,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[3678,3716,theory(equality)]) ).

cnf(3744,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n12 != sum(n16,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3741,1035,theory(equality)]),462,theory(equality)]),1009,theory(equality)]),387,theory(equality)]),494,theory(equality)]) ).

cnf(3745,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3744,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),569,theory(equality)]) ).

cnf(3746,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[3745,theory(equality)]) ).

cnf(3770,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n23)),sum(pred(n23),n22)) != sum(n16,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[3678,3746,theory(equality)]) ).

cnf(3773,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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 = n22
    | esk2_0 = n21
    | 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
    | n10 != sum(n16,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3770,1036,theory(equality)]),463,theory(equality)]),1010,theory(equality)]),413,theory(equality)]),521,theory(equality)]) ).

cnf(3774,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3773,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),571,theory(equality)]) ).

cnf(3775,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3774,theory(equality)]) ).

cnf(3800,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n20,succ(n22)),sum(pred(n22),n22)) != sum(n16,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[3678,3775,theory(equality)]) ).

cnf(3803,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n8 != sum(n16,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3800,1037,theory(equality)]),464,theory(equality)]),1011,theory(equality)]),439,theory(equality)]),548,theory(equality)]) ).

cnf(3804,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3803,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),573,theory(equality)]) ).

cnf(3805,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[3804,theory(equality)]) ).

cnf(3827,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n21)),sum(pred(n21),n22)) != sum(n16,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[3678,3805,theory(equality)]) ).

cnf(3830,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | n6 != sum(n16,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3827,1038,theory(equality)]),465,theory(equality)]),1012,theory(equality)]),465,theory(equality)]),575,theory(equality)]) ).

cnf(3831,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3830,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),575,theory(equality)]) ).

cnf(3832,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3831,theory(equality)]) ).

cnf(3853,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n20,succ(n20)),sum(pred(n20),n22)) != sum(n16,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[3678,3832,theory(equality)]) ).

cnf(3856,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n4 != sum(n16,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3853,1039,theory(equality)]),466,theory(equality)]),1013,theory(equality)]),491,theory(equality)]),602,theory(equality)]) ).

cnf(3857,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3856,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),577,theory(equality)]) ).

cnf(3858,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[3857,theory(equality)]) ).

cnf(3878,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n19)),sum(pred(n19),n22)) != sum(n16,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[3678,3858,theory(equality)]) ).

cnf(3881,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | 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
    | n2 != sum(n16,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3878,1040,theory(equality)]),467,theory(equality)]),1014,theory(equality)]),517,theory(equality)]),629,theory(equality)]) ).

cnf(3882,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3881,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),579,theory(equality)]) ).

cnf(3883,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3882,theory(equality)]) ).

cnf(3902,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n20,succ(n18)),sum(pred(n18),n22)) != sum(n16,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[3678,3883,theory(equality)]) ).

cnf(3905,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n0 != sum(n16,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3902,1041,theory(equality)]),468,theory(equality)]),1015,theory(equality)]),543,theory(equality)]),656,theory(equality)]) ).

cnf(3906,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3905,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),581,theory(equality)]) ).

cnf(3907,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[3906,theory(equality)]) ).

cnf(3925,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n17)),sum(pred(n17),n22)) != sum(n16,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[3678,3907,theory(equality)]) ).

cnf(3928,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | 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
    | n24 != sum(n16,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3925,1042,theory(equality)]),469,theory(equality)]),1016,theory(equality)]),569,theory(equality)]),683,theory(equality)]) ).

cnf(3929,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3928,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),583,theory(equality)]) ).

cnf(3930,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3929,theory(equality)]) ).

cnf(3947,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n20,succ(n16)),sum(pred(n16),n22)) != sum(n16,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[3678,3930,theory(equality)]) ).

cnf(3950,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n22 != sum(n16,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3947,1043,theory(equality)]),470,theory(equality)]),1017,theory(equality)]),595,theory(equality)]),710,theory(equality)]) ).

cnf(3951,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3950,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),585,theory(equality)]) ).

cnf(3952,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[3951,theory(equality)]) ).

cnf(3968,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n15)),sum(pred(n15),n22)) != sum(n16,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[3678,3952,theory(equality)]) ).

cnf(3971,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | n20 != sum(n16,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3968,1044,theory(equality)]),471,theory(equality)]),1018,theory(equality)]),621,theory(equality)]),737,theory(equality)]) ).

cnf(3972,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3971,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),587,theory(equality)]) ).

cnf(3973,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[3972,theory(equality)]) ).

cnf(3988,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n20,succ(n14)),sum(pred(n14),n22)) != sum(n16,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[3678,3973,theory(equality)]) ).

cnf(3991,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n18 != sum(n16,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3988,1045,theory(equality)]),472,theory(equality)]),1019,theory(equality)]),647,theory(equality)]),764,theory(equality)]) ).

cnf(3992,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3991,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),589,theory(equality)]) ).

cnf(3993,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[3992,theory(equality)]) ).

cnf(4007,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n13)),sum(pred(n13),n22)) != sum(n16,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[3678,3993,theory(equality)]) ).

cnf(4010,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | n16 != sum(n16,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4007,1046,theory(equality)]),473,theory(equality)]),1020,theory(equality)]),673,theory(equality)]),791,theory(equality)]) ).

cnf(4011,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4010,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),591,theory(equality)]) ).

cnf(4012,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4011,theory(equality)]) ).

cnf(4025,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n20,succ(n12)),sum(pred(n12),n22)) != sum(n16,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[3678,4012,theory(equality)]) ).

cnf(4028,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n14 != sum(n16,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4025,1047,theory(equality)]),474,theory(equality)]),1021,theory(equality)]),699,theory(equality)]),818,theory(equality)]) ).

cnf(4029,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4028,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),567,theory(equality)]) ).

cnf(4030,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[4029,theory(equality)]) ).

cnf(4042,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n11)),sum(pred(n11),n22)) != sum(n16,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[3678,4030,theory(equality)]) ).

cnf(4045,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | 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
    | n12 != sum(n16,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4042,1048,theory(equality)]),475,theory(equality)]),1022,theory(equality)]),725,theory(equality)]),845,theory(equality)]) ).

cnf(4046,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4045,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),569,theory(equality)]) ).

cnf(4047,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4046,theory(equality)]) ).

cnf(4058,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n20,succ(n10)),sum(pred(n10),n22)) != sum(n16,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[3678,4047,theory(equality)]) ).

cnf(4061,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n10 != sum(n16,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4058,1049,theory(equality)]),476,theory(equality)]),1023,theory(equality)]),751,theory(equality)]),872,theory(equality)]) ).

cnf(4062,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4061,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),571,theory(equality)]) ).

cnf(4063,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[4062,theory(equality)]) ).

cnf(4073,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n9)),sum(pred(n9),n22)) != sum(n16,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[3678,4063,theory(equality)]) ).

cnf(4076,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | n8 != sum(n16,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4073,1050,theory(equality)]),477,theory(equality)]),1024,theory(equality)]),777,theory(equality)]),899,theory(equality)]) ).

cnf(4077,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4076,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),573,theory(equality)]) ).

cnf(4078,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4077,theory(equality)]) ).

cnf(4087,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n20,succ(n8)),sum(pred(n8),n22)) != sum(n16,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[3678,4078,theory(equality)]) ).

cnf(4090,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n6 != sum(n16,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4087,1051,theory(equality)]),478,theory(equality)]),1025,theory(equality)]),803,theory(equality)]),926,theory(equality)]) ).

cnf(4091,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4090,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),575,theory(equality)]) ).

cnf(4092,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[4091,theory(equality)]) ).

cnf(4100,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n7)),sum(pred(n7),n22)) != sum(n16,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[3678,4092,theory(equality)]) ).

cnf(4103,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | n4 != sum(n16,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4100,1052,theory(equality)]),479,theory(equality)]),1026,theory(equality)]),829,theory(equality)]),953,theory(equality)]) ).

cnf(4104,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4103,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),577,theory(equality)]) ).

cnf(4105,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4104,theory(equality)]) ).

cnf(4112,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n20,succ(n6)),sum(pred(n6),n22)) != sum(n16,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[3678,4105,theory(equality)]) ).

cnf(4115,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n2 != sum(n16,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4112,1053,theory(equality)]),480,theory(equality)]),1027,theory(equality)]),855,theory(equality)]),980,theory(equality)]) ).

cnf(4116,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4115,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),579,theory(equality)]) ).

cnf(4117,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[4116,theory(equality)]) ).

cnf(4123,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n5)),sum(pred(n5),n22)) != sum(n16,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[3678,4117,theory(equality)]) ).

cnf(4126,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | n0 != sum(n16,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4123,1054,theory(equality)]),481,theory(equality)]),1028,theory(equality)]),881,theory(equality)]),1007,theory(equality)]) ).

cnf(4127,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4126,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),581,theory(equality)]) ).

cnf(4128,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4127,theory(equality)]) ).

cnf(4133,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n20,succ(n4)),sum(pred(n4),n22)) != sum(n16,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[3678,4128,theory(equality)]) ).

cnf(4136,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n24 != sum(n16,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4133,1055,theory(equality)]),482,theory(equality)]),1029,theory(equality)]),907,theory(equality)]),332,theory(equality)]) ).

cnf(4137,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4136,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),583,theory(equality)]) ).

cnf(4138,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[4137,theory(equality)]) ).

cnf(4142,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n20,succ(n3)),sum(pred(n3),n22)) != sum(n16,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[3678,4138,theory(equality)]) ).

cnf(4145,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | n22 != sum(n16,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4142,1056,theory(equality)]),483,theory(equality)]),1030,theory(equality)]),933,theory(equality)]),359,theory(equality)]) ).

cnf(4146,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4145,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),585,theory(equality)]) ).

cnf(4147,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4146,theory(equality)]) ).

cnf(4150,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | sum(sum(n20,succ(n2)),sum(pred(n2),n22)) != sum(n16,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[3678,4147,theory(equality)]) ).

cnf(4153,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | n20 != sum(n16,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4150,1057,theory(equality)]),484,theory(equality)]),1031,theory(equality)]),959,theory(equality)]),386,theory(equality)]) ).

cnf(4154,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4153,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),587,theory(equality)]) ).

cnf(4155,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4154,theory(equality)]) ).

cnf(4157,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | sum(sum(n20,succ(n1)),sum(pred(n1),n22)) != sum(n16,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[3678,4155,theory(equality)]) ).

cnf(4160,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | 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
    | n18 != sum(n16,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4157,1058,theory(equality)]),485,theory(equality)]),1032,theory(equality)]),985,theory(equality)]),413,theory(equality)]) ).

cnf(4161,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4160,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),589,theory(equality)]) ).

cnf(4162,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk1_0 = n20 ),
    inference(cn,[status(thm)],[4161,theory(equality)]) ).

cnf(4182,plain,
    ( esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n20),succ(esk2_0)),sum(pred(esk2_0),succ(n20))) != sum(sum(pred(n20),succ(n20)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,4162,theory(equality)]) ).

cnf(4183,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n20),n1),sum(n25,succ(n20))) != sum(sum(pred(n20),succ(n20)),n0) ),
    inference(spm,[status(thm)],[1115,4162,theory(equality)]) ).

cnf(4184,plain,
    ( esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n19,succ(esk2_0)),sum(pred(esk2_0),n21)) != sum(sum(pred(n20),succ(n20)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[4182,1013,theory(equality)]),1039,theory(equality)]) ).

cnf(4185,plain,
    ( esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n19,succ(esk2_0)),sum(pred(esk2_0),n21)) != sum(n14,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4184,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]) ).

cnf(4186,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | 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
    | n14 != sum(sum(pred(n20),succ(n20)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4183,1013,theory(equality)]),512,theory(equality)]),1039,theory(equality)]),336,theory(equality)]),467,theory(equality)]) ).

cnf(4187,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4186,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),643,theory(equality)]) ).

cnf(4188,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n19
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[4187,theory(equality)]) ).

cnf(4218,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n25)),sum(pred(n25),n21)) != sum(n14,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[4185,4188,theory(equality)]) ).

cnf(4221,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n12 != sum(n14,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4218,1034,theory(equality)]),513,theory(equality)]),1008,theory(equality)]),362,theory(equality)]),494,theory(equality)]) ).

cnf(4222,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4221,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),619,theory(equality)]) ).

cnf(4223,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4222,theory(equality)]) ).

cnf(4248,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n19,succ(n24)),sum(pred(n24),n21)) != sum(n14,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[4185,4223,theory(equality)]) ).

cnf(4251,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n10 != sum(n14,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4248,1035,theory(equality)]),488,theory(equality)]),1009,theory(equality)]),388,theory(equality)]),521,theory(equality)]) ).

cnf(4252,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4251,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),621,theory(equality)]) ).

cnf(4253,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[4252,theory(equality)]) ).

cnf(4277,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n23)),sum(pred(n23),n21)) != sum(n14,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[4185,4253,theory(equality)]) ).

cnf(4280,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n8 != sum(n14,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4277,1036,theory(equality)]),489,theory(equality)]),1010,theory(equality)]),414,theory(equality)]),548,theory(equality)]) ).

cnf(4281,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4280,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),623,theory(equality)]) ).

cnf(4282,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4281,theory(equality)]) ).

cnf(4305,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n19,succ(n22)),sum(pred(n22),n21)) != sum(n14,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[4185,4282,theory(equality)]) ).

cnf(4308,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n6 != sum(n14,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4305,1037,theory(equality)]),490,theory(equality)]),1011,theory(equality)]),440,theory(equality)]),575,theory(equality)]) ).

cnf(4309,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4308,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),625,theory(equality)]) ).

cnf(4310,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[4309,theory(equality)]) ).

cnf(4332,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n21)),sum(pred(n21),n21)) != sum(n14,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[4185,4310,theory(equality)]) ).

cnf(4335,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = 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
    | n4 != sum(n14,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4332,1038,theory(equality)]),491,theory(equality)]),1012,theory(equality)]),466,theory(equality)]),602,theory(equality)]) ).

cnf(4336,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4335,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),627,theory(equality)]) ).

cnf(4337,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4336,theory(equality)]) ).

cnf(4358,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n19,succ(n20)),sum(pred(n20),n21)) != sum(n14,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[4185,4337,theory(equality)]) ).

cnf(4361,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n2 != sum(n14,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4358,1039,theory(equality)]),492,theory(equality)]),1013,theory(equality)]),492,theory(equality)]),629,theory(equality)]) ).

cnf(4362,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4361,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),629,theory(equality)]) ).

cnf(4363,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[4362,theory(equality)]) ).

cnf(4383,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n19)),sum(pred(n19),n21)) != sum(n14,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[4185,4363,theory(equality)]) ).

cnf(4386,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n14,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4383,1040,theory(equality)]),493,theory(equality)]),1014,theory(equality)]),518,theory(equality)]),656,theory(equality)]) ).

cnf(4387,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4386,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),631,theory(equality)]) ).

cnf(4388,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4387,theory(equality)]) ).

cnf(4407,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n19,succ(n18)),sum(pred(n18),n21)) != sum(n14,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[4185,4388,theory(equality)]) ).

cnf(4410,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n24 != sum(n14,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4407,1041,theory(equality)]),494,theory(equality)]),1015,theory(equality)]),544,theory(equality)]),683,theory(equality)]) ).

cnf(4411,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4410,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),633,theory(equality)]) ).

cnf(4412,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[4411,theory(equality)]) ).

cnf(4437,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n17)),sum(pred(n17),n21)) != sum(n14,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[4185,4412,theory(equality)]) ).

cnf(4440,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = 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
    | n22 != sum(n14,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4437,1042,theory(equality)]),495,theory(equality)]),1016,theory(equality)]),570,theory(equality)]),710,theory(equality)]) ).

cnf(4441,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4440,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),635,theory(equality)]) ).

cnf(4442,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4441,theory(equality)]) ).

cnf(4459,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n19,succ(n16)),sum(pred(n16),n21)) != sum(n14,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[4185,4442,theory(equality)]) ).

cnf(4462,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n20 != sum(n14,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4459,1043,theory(equality)]),496,theory(equality)]),1017,theory(equality)]),596,theory(equality)]),737,theory(equality)]) ).

cnf(4463,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4462,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),637,theory(equality)]) ).

cnf(4464,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[4463,theory(equality)]) ).

cnf(4480,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n15)),sum(pred(n15),n21)) != sum(n14,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[4185,4464,theory(equality)]) ).

cnf(4483,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n14,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4480,1044,theory(equality)]),497,theory(equality)]),1018,theory(equality)]),622,theory(equality)]),764,theory(equality)]) ).

cnf(4484,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4483,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),639,theory(equality)]) ).

cnf(4485,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4484,theory(equality)]) ).

cnf(4500,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n19,succ(n14)),sum(pred(n14),n21)) != sum(n14,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[4185,4485,theory(equality)]) ).

cnf(4503,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n16 != sum(n14,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4500,1045,theory(equality)]),498,theory(equality)]),1019,theory(equality)]),648,theory(equality)]),791,theory(equality)]) ).

cnf(4504,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4503,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),641,theory(equality)]) ).

cnf(4505,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[4504,theory(equality)]) ).

cnf(4519,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n13)),sum(pred(n13),n21)) != sum(n14,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[4185,4505,theory(equality)]) ).

cnf(4522,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n14,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4519,1046,theory(equality)]),499,theory(equality)]),1020,theory(equality)]),674,theory(equality)]),818,theory(equality)]) ).

cnf(4523,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4522,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),643,theory(equality)]) ).

cnf(4524,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4523,theory(equality)]) ).

cnf(4537,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n19,succ(n12)),sum(pred(n12),n21)) != sum(n14,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[4185,4524,theory(equality)]) ).

cnf(4540,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n12 != sum(n14,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4537,1047,theory(equality)]),500,theory(equality)]),1021,theory(equality)]),700,theory(equality)]),845,theory(equality)]) ).

cnf(4541,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4540,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),619,theory(equality)]) ).

cnf(4542,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[4541,theory(equality)]) ).

cnf(4554,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n11)),sum(pred(n11),n21)) != sum(n14,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[4185,4542,theory(equality)]) ).

cnf(4557,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n14,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4554,1048,theory(equality)]),501,theory(equality)]),1022,theory(equality)]),726,theory(equality)]),872,theory(equality)]) ).

cnf(4558,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4557,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),621,theory(equality)]) ).

cnf(4559,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4558,theory(equality)]) ).

cnf(4570,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n19,succ(n10)),sum(pred(n10),n21)) != sum(n14,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[4185,4559,theory(equality)]) ).

cnf(4573,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n8 != sum(n14,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4570,1049,theory(equality)]),502,theory(equality)]),1023,theory(equality)]),752,theory(equality)]),899,theory(equality)]) ).

cnf(4574,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4573,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),623,theory(equality)]) ).

cnf(4575,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[4574,theory(equality)]) ).

cnf(4585,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n9)),sum(pred(n9),n21)) != sum(n14,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[4185,4575,theory(equality)]) ).

cnf(4588,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n14,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4585,1050,theory(equality)]),503,theory(equality)]),1024,theory(equality)]),778,theory(equality)]),926,theory(equality)]) ).

cnf(4589,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4588,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),625,theory(equality)]) ).

cnf(4590,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4589,theory(equality)]) ).

cnf(4599,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n19,succ(n8)),sum(pred(n8),n21)) != sum(n14,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[4185,4590,theory(equality)]) ).

cnf(4602,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n4 != sum(n14,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4599,1051,theory(equality)]),504,theory(equality)]),1025,theory(equality)]),804,theory(equality)]),953,theory(equality)]) ).

cnf(4603,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4602,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),627,theory(equality)]) ).

cnf(4604,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[4603,theory(equality)]) ).

cnf(4612,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n7)),sum(pred(n7),n21)) != sum(n14,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[4185,4604,theory(equality)]) ).

cnf(4615,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n14,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4612,1052,theory(equality)]),505,theory(equality)]),1026,theory(equality)]),830,theory(equality)]),980,theory(equality)]) ).

cnf(4616,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4615,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),629,theory(equality)]) ).

cnf(4617,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4616,theory(equality)]) ).

cnf(4624,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n19,succ(n6)),sum(pred(n6),n21)) != sum(n14,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[4185,4617,theory(equality)]) ).

cnf(4627,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n0 != sum(n14,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4624,1053,theory(equality)]),506,theory(equality)]),1027,theory(equality)]),856,theory(equality)]),1007,theory(equality)]) ).

cnf(4628,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4627,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),631,theory(equality)]) ).

cnf(4629,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[4628,theory(equality)]) ).

cnf(4635,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n5)),sum(pred(n5),n21)) != sum(n14,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[4185,4629,theory(equality)]) ).

cnf(4638,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n24 != sum(n14,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4635,1054,theory(equality)]),507,theory(equality)]),1028,theory(equality)]),882,theory(equality)]),332,theory(equality)]) ).

cnf(4639,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4638,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),633,theory(equality)]) ).

cnf(4640,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4639,theory(equality)]) ).

cnf(4645,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n19,succ(n4)),sum(pred(n4),n21)) != sum(n14,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[4185,4640,theory(equality)]) ).

cnf(4648,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n22 != sum(n14,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4645,1055,theory(equality)]),508,theory(equality)]),1029,theory(equality)]),908,theory(equality)]),359,theory(equality)]) ).

cnf(4649,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4648,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),635,theory(equality)]) ).

cnf(4650,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[4649,theory(equality)]) ).

cnf(4654,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n19,succ(n3)),sum(pred(n3),n21)) != sum(n14,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[4185,4650,theory(equality)]) ).

cnf(4657,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n14,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4654,1056,theory(equality)]),509,theory(equality)]),1030,theory(equality)]),934,theory(equality)]),386,theory(equality)]) ).

cnf(4658,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4657,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),637,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
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4658,theory(equality)]) ).

cnf(4662,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | sum(sum(n19,succ(n2)),sum(pred(n2),n21)) != sum(n14,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[4185,4659,theory(equality)]) ).

cnf(4665,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | n18 != sum(n14,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4662,1057,theory(equality)]),510,theory(equality)]),1031,theory(equality)]),960,theory(equality)]),413,theory(equality)]) ).

cnf(4666,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4665,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),639,theory(equality)]) ).

cnf(4667,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4666,theory(equality)]) ).

cnf(4669,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | sum(sum(n19,succ(n1)),sum(pred(n1),n21)) != sum(n14,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[4185,4667,theory(equality)]) ).

cnf(4672,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | 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
    | n16 != sum(n14,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4669,1058,theory(equality)]),511,theory(equality)]),1032,theory(equality)]),986,theory(equality)]),440,theory(equality)]) ).

cnf(4673,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4672,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),641,theory(equality)]) ).

cnf(4674,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk1_0 = n19 ),
    inference(cn,[status(thm)],[4673,theory(equality)]) ).

cnf(4693,plain,
    ( esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n19),succ(esk2_0)),sum(pred(esk2_0),succ(n19))) != sum(sum(pred(n19),succ(n19)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,4674,theory(equality)]) ).

cnf(4694,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n19),n1),sum(n25,succ(n19))) != sum(sum(pred(n19),succ(n19)),n0) ),
    inference(spm,[status(thm)],[1115,4674,theory(equality)]) ).

cnf(4695,plain,
    ( esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n18,succ(esk2_0)),sum(pred(esk2_0),n20)) != sum(sum(pred(n19),succ(n19)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[4693,1014,theory(equality)]),1040,theory(equality)]) ).

cnf(4696,plain,
    ( esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n18,succ(esk2_0)),sum(pred(esk2_0),n20)) != sum(n12,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4695,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]) ).

cnf(4697,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | 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
    | n12 != sum(sum(pred(n19),succ(n19)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4694,1014,theory(equality)]),538,theory(equality)]),1040,theory(equality)]),337,theory(equality)]),494,theory(equality)]) ).

cnf(4698,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4697,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),695,theory(equality)]) ).

cnf(4699,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n18
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[4698,theory(equality)]) ).

cnf(4729,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n25)),sum(pred(n25),n20)) != sum(n12,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[4696,4699,theory(equality)]) ).

cnf(4732,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n10 != sum(n12,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4729,1034,theory(equality)]),539,theory(equality)]),1008,theory(equality)]),363,theory(equality)]),521,theory(equality)]) ).

cnf(4733,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4732,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),671,theory(equality)]) ).

cnf(4734,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4733,theory(equality)]) ).

cnf(4759,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n18,succ(n24)),sum(pred(n24),n20)) != sum(n12,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[4696,4734,theory(equality)]) ).

cnf(4762,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n8 != sum(n12,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4759,1035,theory(equality)]),514,theory(equality)]),1009,theory(equality)]),389,theory(equality)]),548,theory(equality)]) ).

cnf(4763,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4762,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),673,theory(equality)]) ).

cnf(4764,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[4763,theory(equality)]) ).

cnf(4788,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n23)),sum(pred(n23),n20)) != sum(n12,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[4696,4764,theory(equality)]) ).

cnf(4791,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n6 != sum(n12,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4788,1036,theory(equality)]),515,theory(equality)]),1010,theory(equality)]),415,theory(equality)]),575,theory(equality)]) ).

cnf(4792,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4791,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),675,theory(equality)]) ).

cnf(4793,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4792,theory(equality)]) ).

cnf(4816,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n18,succ(n22)),sum(pred(n22),n20)) != sum(n12,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[4696,4793,theory(equality)]) ).

cnf(4819,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n4 != sum(n12,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4816,1037,theory(equality)]),516,theory(equality)]),1011,theory(equality)]),441,theory(equality)]),602,theory(equality)]) ).

cnf(4820,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4819,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),677,theory(equality)]) ).

cnf(4821,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[4820,theory(equality)]) ).

cnf(4843,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n21)),sum(pred(n21),n20)) != sum(n12,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[4696,4821,theory(equality)]) ).

cnf(4846,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = 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
    | n2 != sum(n12,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4843,1038,theory(equality)]),517,theory(equality)]),1012,theory(equality)]),467,theory(equality)]),629,theory(equality)]) ).

cnf(4847,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4846,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),679,theory(equality)]) ).

cnf(4848,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4847,theory(equality)]) ).

cnf(4873,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n18,succ(n20)),sum(pred(n20),n20)) != sum(n12,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[4696,4848,theory(equality)]) ).

cnf(4876,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n0 != sum(n12,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4873,1039,theory(equality)]),518,theory(equality)]),1013,theory(equality)]),493,theory(equality)]),656,theory(equality)]) ).

cnf(4877,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4876,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),681,theory(equality)]) ).

cnf(4878,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[4877,theory(equality)]) ).

cnf(4898,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n19)),sum(pred(n19),n20)) != sum(n12,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[4696,4878,theory(equality)]) ).

cnf(4901,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = 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
    | n24 != sum(n12,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4898,1040,theory(equality)]),519,theory(equality)]),1014,theory(equality)]),519,theory(equality)]),683,theory(equality)]) ).

cnf(4902,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4901,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),683,theory(equality)]) ).

cnf(4903,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4902,theory(equality)]) ).

cnf(4922,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n18,succ(n18)),sum(pred(n18),n20)) != sum(n12,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[4696,4903,theory(equality)]) ).

cnf(4925,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n22 != sum(n12,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4922,1041,theory(equality)]),520,theory(equality)]),1015,theory(equality)]),545,theory(equality)]),710,theory(equality)]) ).

cnf(4926,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4925,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),685,theory(equality)]) ).

cnf(4927,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[4926,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
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n17)),sum(pred(n17),n20)) != sum(n12,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[4696,4927,theory(equality)]) ).

cnf(4948,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n12,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4945,1042,theory(equality)]),521,theory(equality)]),1016,theory(equality)]),571,theory(equality)]),737,theory(equality)]) ).

cnf(4949,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4948,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),687,theory(equality)]) ).

cnf(4950,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4949,theory(equality)]) ).

cnf(4967,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n18,succ(n16)),sum(pred(n16),n20)) != sum(n12,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[4696,4950,theory(equality)]) ).

cnf(4970,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n18 != sum(n12,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4967,1043,theory(equality)]),522,theory(equality)]),1017,theory(equality)]),597,theory(equality)]),764,theory(equality)]) ).

cnf(4971,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4970,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),689,theory(equality)]) ).

cnf(4972,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[4971,theory(equality)]) ).

cnf(4988,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n15)),sum(pred(n15),n20)) != sum(n12,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[4696,4972,theory(equality)]) ).

cnf(4991,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n12,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4988,1044,theory(equality)]),523,theory(equality)]),1018,theory(equality)]),623,theory(equality)]),791,theory(equality)]) ).

cnf(4992,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4991,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),691,theory(equality)]) ).

cnf(4993,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[4992,theory(equality)]) ).

cnf(5008,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n18,succ(n14)),sum(pred(n14),n20)) != sum(n12,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[4696,4993,theory(equality)]) ).

cnf(5011,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n14 != sum(n12,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5008,1045,theory(equality)]),524,theory(equality)]),1019,theory(equality)]),649,theory(equality)]),818,theory(equality)]) ).

cnf(5012,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5011,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),693,theory(equality)]) ).

cnf(5013,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[5012,theory(equality)]) ).

cnf(5027,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n13)),sum(pred(n13),n20)) != sum(n12,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[4696,5013,theory(equality)]) ).

cnf(5030,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n12,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5027,1046,theory(equality)]),525,theory(equality)]),1020,theory(equality)]),675,theory(equality)]),845,theory(equality)]) ).

cnf(5031,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5030,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),695,theory(equality)]) ).

cnf(5032,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5031,theory(equality)]) ).

cnf(5045,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n18,succ(n12)),sum(pred(n12),n20)) != sum(n12,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[4696,5032,theory(equality)]) ).

cnf(5048,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n10 != sum(n12,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5045,1047,theory(equality)]),526,theory(equality)]),1021,theory(equality)]),701,theory(equality)]),872,theory(equality)]) ).

cnf(5049,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5048,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),671,theory(equality)]) ).

cnf(5050,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[5049,theory(equality)]) ).

cnf(5062,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n11)),sum(pred(n11),n20)) != sum(n12,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[4696,5050,theory(equality)]) ).

cnf(5065,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n12,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5062,1048,theory(equality)]),527,theory(equality)]),1022,theory(equality)]),727,theory(equality)]),899,theory(equality)]) ).

cnf(5066,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5065,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),673,theory(equality)]) ).

cnf(5067,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5066,theory(equality)]) ).

cnf(5078,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n18,succ(n10)),sum(pred(n10),n20)) != sum(n12,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[4696,5067,theory(equality)]) ).

cnf(5081,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n6 != sum(n12,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5078,1049,theory(equality)]),528,theory(equality)]),1023,theory(equality)]),753,theory(equality)]),926,theory(equality)]) ).

cnf(5082,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5081,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),675,theory(equality)]) ).

cnf(5083,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[5082,theory(equality)]) ).

cnf(5093,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n9)),sum(pred(n9),n20)) != sum(n12,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[4696,5083,theory(equality)]) ).

cnf(5096,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n12,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5093,1050,theory(equality)]),529,theory(equality)]),1024,theory(equality)]),779,theory(equality)]),953,theory(equality)]) ).

cnf(5097,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5096,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),677,theory(equality)]) ).

cnf(5098,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5097,theory(equality)]) ).

cnf(5107,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n18,succ(n8)),sum(pred(n8),n20)) != sum(n12,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[4696,5098,theory(equality)]) ).

cnf(5110,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n2 != sum(n12,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5107,1051,theory(equality)]),530,theory(equality)]),1025,theory(equality)]),805,theory(equality)]),980,theory(equality)]) ).

cnf(5111,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5110,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),679,theory(equality)]) ).

cnf(5112,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[5111,theory(equality)]) ).

cnf(5120,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n7)),sum(pred(n7),n20)) != sum(n12,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[4696,5112,theory(equality)]) ).

cnf(5123,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n12,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5120,1052,theory(equality)]),531,theory(equality)]),1026,theory(equality)]),831,theory(equality)]),1007,theory(equality)]) ).

cnf(5124,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5123,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),681,theory(equality)]) ).

cnf(5125,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5124,theory(equality)]) ).

cnf(5132,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n18,succ(n6)),sum(pred(n6),n20)) != sum(n12,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[4696,5125,theory(equality)]) ).

cnf(5135,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n24 != sum(n12,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5132,1053,theory(equality)]),532,theory(equality)]),1027,theory(equality)]),857,theory(equality)]),332,theory(equality)]) ).

cnf(5136,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5135,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),683,theory(equality)]) ).

cnf(5137,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[5136,theory(equality)]) ).

cnf(5143,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n5)),sum(pred(n5),n20)) != sum(n12,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[4696,5137,theory(equality)]) ).

cnf(5146,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n22 != sum(n12,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5143,1054,theory(equality)]),533,theory(equality)]),1028,theory(equality)]),883,theory(equality)]),359,theory(equality)]) ).

cnf(5147,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5146,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),685,theory(equality)]) ).

cnf(5148,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5147,theory(equality)]) ).

cnf(5153,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n18,succ(n4)),sum(pred(n4),n20)) != sum(n12,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[4696,5148,theory(equality)]) ).

cnf(5156,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n20 != sum(n12,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5153,1055,theory(equality)]),534,theory(equality)]),1029,theory(equality)]),909,theory(equality)]),386,theory(equality)]) ).

cnf(5157,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5156,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),687,theory(equality)]) ).

cnf(5158,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[5157,theory(equality)]) ).

cnf(5162,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n18,succ(n3)),sum(pred(n3),n20)) != sum(n12,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[4696,5158,theory(equality)]) ).

cnf(5165,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n12,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5162,1056,theory(equality)]),535,theory(equality)]),1030,theory(equality)]),935,theory(equality)]),413,theory(equality)]) ).

cnf(5166,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5165,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),689,theory(equality)]) ).

cnf(5167,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5166,theory(equality)]) ).

cnf(5170,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | sum(sum(n18,succ(n2)),sum(pred(n2),n20)) != sum(n12,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[4696,5167,theory(equality)]) ).

cnf(5173,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | n16 != sum(n12,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5170,1057,theory(equality)]),536,theory(equality)]),1031,theory(equality)]),961,theory(equality)]),440,theory(equality)]) ).

cnf(5174,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5173,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),691,theory(equality)]) ).

cnf(5175,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5174,theory(equality)]) ).

cnf(5177,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | sum(sum(n18,succ(n1)),sum(pred(n1),n20)) != sum(n12,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[4696,5175,theory(equality)]) ).

cnf(5180,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | n14 != sum(n12,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5177,1058,theory(equality)]),537,theory(equality)]),1032,theory(equality)]),987,theory(equality)]),467,theory(equality)]) ).

cnf(5181,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5180,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),693,theory(equality)]) ).

cnf(5182,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk1_0 = n18 ),
    inference(cn,[status(thm)],[5181,theory(equality)]) ).

cnf(5200,plain,
    ( esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n18),succ(esk2_0)),sum(pred(esk2_0),succ(n18))) != sum(sum(pred(n18),succ(n18)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,5182,theory(equality)]) ).

cnf(5201,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n18),n1),sum(n25,succ(n18))) != sum(sum(pred(n18),succ(n18)),n0) ),
    inference(spm,[status(thm)],[1115,5182,theory(equality)]) ).

cnf(5202,plain,
    ( esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n17,succ(esk2_0)),sum(pred(esk2_0),n19)) != sum(sum(pred(n18),succ(n18)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[5200,1015,theory(equality)]),1041,theory(equality)]) ).

cnf(5203,plain,
    ( esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n17,succ(esk2_0)),sum(pred(esk2_0),n19)) != sum(n10,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5202,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]) ).

cnf(5204,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | 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
    | n10 != sum(sum(pred(n18),succ(n18)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5201,1015,theory(equality)]),564,theory(equality)]),1041,theory(equality)]),338,theory(equality)]),521,theory(equality)]) ).

cnf(5205,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5204,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),747,theory(equality)]) ).

cnf(5206,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n17
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[5205,theory(equality)]) ).

cnf(5236,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n25)),sum(pred(n25),n19)) != sum(n10,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[5203,5206,theory(equality)]) ).

cnf(5239,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n8 != sum(n10,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5236,1034,theory(equality)]),565,theory(equality)]),1008,theory(equality)]),364,theory(equality)]),548,theory(equality)]) ).

cnf(5240,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5239,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),723,theory(equality)]) ).

cnf(5241,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5240,theory(equality)]) ).

cnf(5266,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n17,succ(n24)),sum(pred(n24),n19)) != sum(n10,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[5203,5241,theory(equality)]) ).

cnf(5269,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n6 != sum(n10,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5266,1035,theory(equality)]),540,theory(equality)]),1009,theory(equality)]),390,theory(equality)]),575,theory(equality)]) ).

cnf(5270,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5269,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),725,theory(equality)]) ).

cnf(5271,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[5270,theory(equality)]) ).

cnf(5295,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n23)),sum(pred(n23),n19)) != sum(n10,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[5203,5271,theory(equality)]) ).

cnf(5298,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n4 != sum(n10,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5295,1036,theory(equality)]),541,theory(equality)]),1010,theory(equality)]),416,theory(equality)]),602,theory(equality)]) ).

cnf(5299,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5298,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),727,theory(equality)]) ).

cnf(5300,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5299,theory(equality)]) ).

cnf(5325,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n17,succ(n22)),sum(pred(n22),n19)) != sum(n10,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[5203,5300,theory(equality)]) ).

cnf(5328,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n2 != sum(n10,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5325,1037,theory(equality)]),542,theory(equality)]),1011,theory(equality)]),442,theory(equality)]),629,theory(equality)]) ).

cnf(5329,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5328,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),729,theory(equality)]) ).

cnf(5330,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[5329,theory(equality)]) ).

cnf(5352,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n21)),sum(pred(n21),n19)) != sum(n10,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[5203,5330,theory(equality)]) ).

cnf(5355,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n10,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5352,1038,theory(equality)]),543,theory(equality)]),1012,theory(equality)]),468,theory(equality)]),656,theory(equality)]) ).

cnf(5356,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5355,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),731,theory(equality)]) ).

cnf(5357,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5356,theory(equality)]) ).

cnf(5378,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n17,succ(n20)),sum(pred(n20),n19)) != sum(n10,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[5203,5357,theory(equality)]) ).

cnf(5381,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n24 != sum(n10,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5378,1039,theory(equality)]),544,theory(equality)]),1013,theory(equality)]),494,theory(equality)]),683,theory(equality)]) ).

cnf(5382,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5381,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),733,theory(equality)]) ).

cnf(5383,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[5382,theory(equality)]) ).

cnf(5403,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n19)),sum(pred(n19),n19)) != sum(n10,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[5203,5383,theory(equality)]) ).

cnf(5406,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = 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
    | n22 != sum(n10,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5403,1040,theory(equality)]),545,theory(equality)]),1014,theory(equality)]),520,theory(equality)]),710,theory(equality)]) ).

cnf(5407,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5406,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),735,theory(equality)]) ).

cnf(5408,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5407,theory(equality)]) ).

cnf(5427,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n17,succ(n18)),sum(pred(n18),n19)) != sum(n10,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[5203,5408,theory(equality)]) ).

cnf(5430,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n20 != sum(n10,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5427,1041,theory(equality)]),546,theory(equality)]),1015,theory(equality)]),546,theory(equality)]),737,theory(equality)]) ).

cnf(5431,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5430,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),737,theory(equality)]) ).

cnf(5432,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[5431,theory(equality)]) ).

cnf(5450,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n17)),sum(pred(n17),n19)) != sum(n10,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[5203,5432,theory(equality)]) ).

cnf(5453,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n10,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5450,1042,theory(equality)]),547,theory(equality)]),1016,theory(equality)]),572,theory(equality)]),764,theory(equality)]) ).

cnf(5454,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5453,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),739,theory(equality)]) ).

cnf(5455,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5454,theory(equality)]) ).

cnf(5472,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n17,succ(n16)),sum(pred(n16),n19)) != sum(n10,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[5203,5455,theory(equality)]) ).

cnf(5475,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n16 != sum(n10,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5472,1043,theory(equality)]),548,theory(equality)]),1017,theory(equality)]),598,theory(equality)]),791,theory(equality)]) ).

cnf(5476,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5475,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),741,theory(equality)]) ).

cnf(5477,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[5476,theory(equality)]) ).

cnf(5493,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n15)),sum(pred(n15),n19)) != sum(n10,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[5203,5477,theory(equality)]) ).

cnf(5496,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n10,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5493,1044,theory(equality)]),549,theory(equality)]),1018,theory(equality)]),624,theory(equality)]),818,theory(equality)]) ).

cnf(5497,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5496,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),743,theory(equality)]) ).

cnf(5498,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5497,theory(equality)]) ).

cnf(5513,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n17,succ(n14)),sum(pred(n14),n19)) != sum(n10,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[5203,5498,theory(equality)]) ).

cnf(5516,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n12 != sum(n10,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5513,1045,theory(equality)]),550,theory(equality)]),1019,theory(equality)]),650,theory(equality)]),845,theory(equality)]) ).

cnf(5517,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5516,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),745,theory(equality)]) ).

cnf(5518,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[5517,theory(equality)]) ).

cnf(5532,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n13)),sum(pred(n13),n19)) != sum(n10,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[5203,5518,theory(equality)]) ).

cnf(5535,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n10,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5532,1046,theory(equality)]),551,theory(equality)]),1020,theory(equality)]),676,theory(equality)]),872,theory(equality)]) ).

cnf(5536,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5535,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),747,theory(equality)]) ).

cnf(5537,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5536,theory(equality)]) ).

cnf(5550,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n17,succ(n12)),sum(pred(n12),n19)) != sum(n10,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[5203,5537,theory(equality)]) ).

cnf(5553,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n8 != sum(n10,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5550,1047,theory(equality)]),552,theory(equality)]),1021,theory(equality)]),702,theory(equality)]),899,theory(equality)]) ).

cnf(5554,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5553,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),723,theory(equality)]) ).

cnf(5555,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[5554,theory(equality)]) ).

cnf(5567,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n11)),sum(pred(n11),n19)) != sum(n10,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[5203,5555,theory(equality)]) ).

cnf(5570,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n10,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5567,1048,theory(equality)]),553,theory(equality)]),1022,theory(equality)]),728,theory(equality)]),926,theory(equality)]) ).

cnf(5571,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5570,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),725,theory(equality)]) ).

cnf(5572,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5571,theory(equality)]) ).

cnf(5583,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n17,succ(n10)),sum(pred(n10),n19)) != sum(n10,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[5203,5572,theory(equality)]) ).

cnf(5586,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n4 != sum(n10,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5583,1049,theory(equality)]),554,theory(equality)]),1023,theory(equality)]),754,theory(equality)]),953,theory(equality)]) ).

cnf(5587,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5586,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),727,theory(equality)]) ).

cnf(5588,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[5587,theory(equality)]) ).

cnf(5598,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n9)),sum(pred(n9),n19)) != sum(n10,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[5203,5588,theory(equality)]) ).

cnf(5601,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n10,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5598,1050,theory(equality)]),555,theory(equality)]),1024,theory(equality)]),780,theory(equality)]),980,theory(equality)]) ).

cnf(5602,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5601,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),729,theory(equality)]) ).

cnf(5603,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5602,theory(equality)]) ).

cnf(5612,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n17,succ(n8)),sum(pred(n8),n19)) != sum(n10,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[5203,5603,theory(equality)]) ).

cnf(5615,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n0 != sum(n10,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5612,1051,theory(equality)]),556,theory(equality)]),1025,theory(equality)]),806,theory(equality)]),1007,theory(equality)]) ).

cnf(5616,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5615,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),731,theory(equality)]) ).

cnf(5617,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[5616,theory(equality)]) ).

cnf(5625,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n7)),sum(pred(n7),n19)) != sum(n10,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[5203,5617,theory(equality)]) ).

cnf(5628,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n24 != sum(n10,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5625,1052,theory(equality)]),557,theory(equality)]),1026,theory(equality)]),832,theory(equality)]),332,theory(equality)]) ).

cnf(5629,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5628,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),733,theory(equality)]) ).

cnf(5630,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5629,theory(equality)]) ).

cnf(5637,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n17,succ(n6)),sum(pred(n6),n19)) != sum(n10,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[5203,5630,theory(equality)]) ).

cnf(5640,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n22 != sum(n10,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5637,1053,theory(equality)]),558,theory(equality)]),1027,theory(equality)]),858,theory(equality)]),359,theory(equality)]) ).

cnf(5641,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5640,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),735,theory(equality)]) ).

cnf(5642,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[5641,theory(equality)]) ).

cnf(5648,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n5)),sum(pred(n5),n19)) != sum(n10,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[5203,5642,theory(equality)]) ).

cnf(5651,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n10,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5648,1054,theory(equality)]),559,theory(equality)]),1028,theory(equality)]),884,theory(equality)]),386,theory(equality)]) ).

cnf(5652,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5651,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),737,theory(equality)]) ).

cnf(5653,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5652,theory(equality)]) ).

cnf(5658,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n17,succ(n4)),sum(pred(n4),n19)) != sum(n10,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[5203,5653,theory(equality)]) ).

cnf(5661,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n18 != sum(n10,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5658,1055,theory(equality)]),560,theory(equality)]),1029,theory(equality)]),910,theory(equality)]),413,theory(equality)]) ).

cnf(5662,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5661,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),739,theory(equality)]) ).

cnf(5663,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[5662,theory(equality)]) ).

cnf(5667,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n17,succ(n3)),sum(pred(n3),n19)) != sum(n10,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[5203,5663,theory(equality)]) ).

cnf(5670,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n10,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5667,1056,theory(equality)]),561,theory(equality)]),1030,theory(equality)]),936,theory(equality)]),440,theory(equality)]) ).

cnf(5671,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5670,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),741,theory(equality)]) ).

cnf(5672,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5671,theory(equality)]) ).

cnf(5675,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | sum(sum(n17,succ(n2)),sum(pred(n2),n19)) != sum(n10,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[5203,5672,theory(equality)]) ).

cnf(5678,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | n14 != sum(n10,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5675,1057,theory(equality)]),562,theory(equality)]),1031,theory(equality)]),962,theory(equality)]),467,theory(equality)]) ).

cnf(5679,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5678,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),743,theory(equality)]) ).

cnf(5680,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5679,theory(equality)]) ).

cnf(5682,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | sum(sum(n17,succ(n1)),sum(pred(n1),n19)) != sum(n10,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[5203,5680,theory(equality)]) ).

cnf(5685,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | n12 != sum(n10,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5682,1058,theory(equality)]),563,theory(equality)]),1032,theory(equality)]),988,theory(equality)]),494,theory(equality)]) ).

cnf(5686,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5685,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),745,theory(equality)]) ).

cnf(5687,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk1_0 = n17 ),
    inference(cn,[status(thm)],[5686,theory(equality)]) ).

cnf(5704,plain,
    ( esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n17),succ(esk2_0)),sum(pred(esk2_0),succ(n17))) != sum(sum(pred(n17),succ(n17)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,5687,theory(equality)]) ).

cnf(5705,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n17),n1),sum(n25,succ(n17))) != sum(sum(pred(n17),succ(n17)),n0) ),
    inference(spm,[status(thm)],[1115,5687,theory(equality)]) ).

cnf(5706,plain,
    ( esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n16,succ(esk2_0)),sum(pred(esk2_0),n18)) != sum(sum(pred(n17),succ(n17)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[5704,1016,theory(equality)]),1042,theory(equality)]) ).

cnf(5707,plain,
    ( esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n16,succ(esk2_0)),sum(pred(esk2_0),n18)) != sum(n8,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5706,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]) ).

cnf(5708,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | 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
    | n8 != sum(sum(pred(n17),succ(n17)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5705,1016,theory(equality)]),590,theory(equality)]),1042,theory(equality)]),339,theory(equality)]),548,theory(equality)]) ).

cnf(5709,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5708,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),799,theory(equality)]) ).

cnf(5710,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n16
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[5709,theory(equality)]) ).

cnf(5740,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n25)),sum(pred(n25),n18)) != sum(n8,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[5707,5710,theory(equality)]) ).

cnf(5743,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n6 != sum(n8,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5740,1034,theory(equality)]),591,theory(equality)]),1008,theory(equality)]),365,theory(equality)]),575,theory(equality)]) ).

cnf(5744,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5743,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),775,theory(equality)]) ).

cnf(5745,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5744,theory(equality)]) ).

cnf(5770,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n16,succ(n24)),sum(pred(n24),n18)) != sum(n8,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[5707,5745,theory(equality)]) ).

cnf(5773,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n4 != sum(n8,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5770,1035,theory(equality)]),566,theory(equality)]),1009,theory(equality)]),391,theory(equality)]),602,theory(equality)]) ).

cnf(5774,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5773,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),777,theory(equality)]) ).

cnf(5775,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[5774,theory(equality)]) ).

cnf(5800,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n23)),sum(pred(n23),n18)) != sum(n8,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[5707,5775,theory(equality)]) ).

cnf(5803,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n2 != sum(n8,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5800,1036,theory(equality)]),567,theory(equality)]),1010,theory(equality)]),417,theory(equality)]),629,theory(equality)]) ).

cnf(5804,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5803,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),779,theory(equality)]) ).

cnf(5805,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5804,theory(equality)]) ).

cnf(5828,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n16,succ(n22)),sum(pred(n22),n18)) != sum(n8,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[5707,5805,theory(equality)]) ).

cnf(5831,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n0 != sum(n8,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5828,1037,theory(equality)]),568,theory(equality)]),1011,theory(equality)]),443,theory(equality)]),656,theory(equality)]) ).

cnf(5832,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5831,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),781,theory(equality)]) ).

cnf(5833,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[5832,theory(equality)]) ).

cnf(5855,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n21)),sum(pred(n21),n18)) != sum(n8,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[5707,5833,theory(equality)]) ).

cnf(5858,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = 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
    | n24 != sum(n8,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5855,1038,theory(equality)]),569,theory(equality)]),1012,theory(equality)]),469,theory(equality)]),683,theory(equality)]) ).

cnf(5859,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5858,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),783,theory(equality)]) ).

cnf(5860,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5859,theory(equality)]) ).

cnf(5881,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n16,succ(n20)),sum(pred(n20),n18)) != sum(n8,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[5707,5860,theory(equality)]) ).

cnf(5884,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n22 != sum(n8,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5881,1039,theory(equality)]),570,theory(equality)]),1013,theory(equality)]),495,theory(equality)]),710,theory(equality)]) ).

cnf(5885,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5884,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),785,theory(equality)]) ).

cnf(5886,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[5885,theory(equality)]) ).

cnf(5906,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n19)),sum(pred(n19),n18)) != sum(n8,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[5707,5886,theory(equality)]) ).

cnf(5909,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n8,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5906,1040,theory(equality)]),571,theory(equality)]),1014,theory(equality)]),521,theory(equality)]),737,theory(equality)]) ).

cnf(5910,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5909,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),787,theory(equality)]) ).

cnf(5911,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5910,theory(equality)]) ).

cnf(5930,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n16,succ(n18)),sum(pred(n18),n18)) != sum(n8,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[5707,5911,theory(equality)]) ).

cnf(5933,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n18 != sum(n8,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5930,1041,theory(equality)]),572,theory(equality)]),1015,theory(equality)]),547,theory(equality)]),764,theory(equality)]) ).

cnf(5934,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5933,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),789,theory(equality)]) ).

cnf(5935,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[5934,theory(equality)]) ).

cnf(5953,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n17)),sum(pred(n17),n18)) != sum(n8,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[5707,5935,theory(equality)]) ).

cnf(5956,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n8,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5953,1042,theory(equality)]),573,theory(equality)]),1016,theory(equality)]),573,theory(equality)]),791,theory(equality)]) ).

cnf(5957,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5956,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),791,theory(equality)]) ).

cnf(5958,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[5957,theory(equality)]) ).

cnf(5975,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n16,succ(n16)),sum(pred(n16),n18)) != sum(n8,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[5707,5958,theory(equality)]) ).

cnf(5978,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n14 != sum(n8,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5975,1043,theory(equality)]),574,theory(equality)]),1017,theory(equality)]),599,theory(equality)]),818,theory(equality)]) ).

cnf(5979,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5978,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),793,theory(equality)]) ).

cnf(5980,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[5979,theory(equality)]) ).

cnf(5996,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n15)),sum(pred(n15),n18)) != sum(n8,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[5707,5980,theory(equality)]) ).

cnf(5999,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n8,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5996,1044,theory(equality)]),575,theory(equality)]),1018,theory(equality)]),625,theory(equality)]),845,theory(equality)]) ).

cnf(6000,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5999,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),795,theory(equality)]) ).

cnf(6001,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6000,theory(equality)]) ).

cnf(6016,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n16,succ(n14)),sum(pred(n14),n18)) != sum(n8,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[5707,6001,theory(equality)]) ).

cnf(6019,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n10 != sum(n8,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6016,1045,theory(equality)]),576,theory(equality)]),1019,theory(equality)]),651,theory(equality)]),872,theory(equality)]) ).

cnf(6020,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6019,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),797,theory(equality)]) ).

cnf(6021,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[6020,theory(equality)]) ).

cnf(6035,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n13)),sum(pred(n13),n18)) != sum(n8,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[5707,6021,theory(equality)]) ).

cnf(6038,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n8,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6035,1046,theory(equality)]),577,theory(equality)]),1020,theory(equality)]),677,theory(equality)]),899,theory(equality)]) ).

cnf(6039,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6038,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),799,theory(equality)]) ).

cnf(6040,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6039,theory(equality)]) ).

cnf(6053,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n16,succ(n12)),sum(pred(n12),n18)) != sum(n8,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[5707,6040,theory(equality)]) ).

cnf(6056,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n6 != sum(n8,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6053,1047,theory(equality)]),578,theory(equality)]),1021,theory(equality)]),703,theory(equality)]),926,theory(equality)]) ).

cnf(6057,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6056,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),775,theory(equality)]) ).

cnf(6058,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[6057,theory(equality)]) ).

cnf(6070,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n11)),sum(pred(n11),n18)) != sum(n8,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[5707,6058,theory(equality)]) ).

cnf(6073,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n8,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6070,1048,theory(equality)]),579,theory(equality)]),1022,theory(equality)]),729,theory(equality)]),953,theory(equality)]) ).

cnf(6074,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6073,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),777,theory(equality)]) ).

cnf(6075,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6074,theory(equality)]) ).

cnf(6086,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n16,succ(n10)),sum(pred(n10),n18)) != sum(n8,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[5707,6075,theory(equality)]) ).

cnf(6089,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n2 != sum(n8,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6086,1049,theory(equality)]),580,theory(equality)]),1023,theory(equality)]),755,theory(equality)]),980,theory(equality)]) ).

cnf(6090,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6089,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),779,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
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[6090,theory(equality)]) ).

cnf(6101,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n9)),sum(pred(n9),n18)) != sum(n8,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[5707,6091,theory(equality)]) ).

cnf(6104,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n8,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6101,1050,theory(equality)]),581,theory(equality)]),1024,theory(equality)]),781,theory(equality)]),1007,theory(equality)]) ).

cnf(6105,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6104,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),781,theory(equality)]) ).

cnf(6106,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6105,theory(equality)]) ).

cnf(6115,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n16,succ(n8)),sum(pred(n8),n18)) != sum(n8,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[5707,6106,theory(equality)]) ).

cnf(6118,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n24 != sum(n8,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6115,1051,theory(equality)]),582,theory(equality)]),1025,theory(equality)]),807,theory(equality)]),332,theory(equality)]) ).

cnf(6119,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6118,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),783,theory(equality)]) ).

cnf(6120,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[6119,theory(equality)]) ).

cnf(6128,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n7)),sum(pred(n7),n18)) != sum(n8,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[5707,6120,theory(equality)]) ).

cnf(6131,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n22 != sum(n8,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6128,1052,theory(equality)]),583,theory(equality)]),1026,theory(equality)]),833,theory(equality)]),359,theory(equality)]) ).

cnf(6132,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6131,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),785,theory(equality)]) ).

cnf(6133,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6132,theory(equality)]) ).

cnf(6140,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n16,succ(n6)),sum(pred(n6),n18)) != sum(n8,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[5707,6133,theory(equality)]) ).

cnf(6143,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n20 != sum(n8,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6140,1053,theory(equality)]),584,theory(equality)]),1027,theory(equality)]),859,theory(equality)]),386,theory(equality)]) ).

cnf(6144,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6143,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),787,theory(equality)]) ).

cnf(6145,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[6144,theory(equality)]) ).

cnf(6151,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n5)),sum(pred(n5),n18)) != sum(n8,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[5707,6145,theory(equality)]) ).

cnf(6154,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n8,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6151,1054,theory(equality)]),585,theory(equality)]),1028,theory(equality)]),885,theory(equality)]),413,theory(equality)]) ).

cnf(6155,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6154,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),789,theory(equality)]) ).

cnf(6156,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6155,theory(equality)]) ).

cnf(6161,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n16,succ(n4)),sum(pred(n4),n18)) != sum(n8,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[5707,6156,theory(equality)]) ).

cnf(6164,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n16 != sum(n8,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6161,1055,theory(equality)]),586,theory(equality)]),1029,theory(equality)]),911,theory(equality)]),440,theory(equality)]) ).

cnf(6165,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6164,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),791,theory(equality)]) ).

cnf(6166,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[6165,theory(equality)]) ).

cnf(6170,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n16,succ(n3)),sum(pred(n3),n18)) != sum(n8,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[5707,6166,theory(equality)]) ).

cnf(6173,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n8,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6170,1056,theory(equality)]),587,theory(equality)]),1030,theory(equality)]),937,theory(equality)]),467,theory(equality)]) ).

cnf(6174,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6173,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),793,theory(equality)]) ).

cnf(6175,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6174,theory(equality)]) ).

cnf(6178,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | sum(sum(n16,succ(n2)),sum(pred(n2),n18)) != sum(n8,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[5707,6175,theory(equality)]) ).

cnf(6181,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | n12 != sum(n8,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6178,1057,theory(equality)]),588,theory(equality)]),1031,theory(equality)]),963,theory(equality)]),494,theory(equality)]) ).

cnf(6182,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6181,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),795,theory(equality)]) ).

cnf(6183,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6182,theory(equality)]) ).

cnf(6185,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | sum(sum(n16,succ(n1)),sum(pred(n1),n18)) != sum(n8,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[5707,6183,theory(equality)]) ).

cnf(6188,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | n10 != sum(n8,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6185,1058,theory(equality)]),589,theory(equality)]),1032,theory(equality)]),989,theory(equality)]),521,theory(equality)]) ).

cnf(6189,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6188,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),797,theory(equality)]) ).

cnf(6190,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk1_0 = n16 ),
    inference(cn,[status(thm)],[6189,theory(equality)]) ).

cnf(6206,plain,
    ( esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n16),succ(esk2_0)),sum(pred(esk2_0),succ(n16))) != sum(sum(pred(n16),succ(n16)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,6190,theory(equality)]) ).

cnf(6207,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n16),n1),sum(n25,succ(n16))) != sum(sum(pred(n16),succ(n16)),n0) ),
    inference(spm,[status(thm)],[1115,6190,theory(equality)]) ).

cnf(6208,plain,
    ( esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n15,succ(esk2_0)),sum(pred(esk2_0),n17)) != sum(sum(pred(n16),succ(n16)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6206,1017,theory(equality)]),1043,theory(equality)]) ).

cnf(6209,plain,
    ( esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n15,succ(esk2_0)),sum(pred(esk2_0),n17)) != sum(n6,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6208,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]) ).

cnf(6210,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | 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
    | n6 != sum(sum(pred(n16),succ(n16)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6207,1017,theory(equality)]),616,theory(equality)]),1043,theory(equality)]),340,theory(equality)]),575,theory(equality)]) ).

cnf(6211,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6210,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),851,theory(equality)]) ).

cnf(6212,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[6211,theory(equality)]) ).

cnf(6242,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n25)),sum(pred(n25),n17)) != sum(n6,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[6209,6212,theory(equality)]) ).

cnf(6245,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n4 != sum(n6,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6242,1034,theory(equality)]),617,theory(equality)]),1008,theory(equality)]),366,theory(equality)]),602,theory(equality)]) ).

cnf(6246,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6245,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),827,theory(equality)]) ).

cnf(6247,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6246,theory(equality)]) ).

cnf(6272,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n15,succ(n24)),sum(pred(n24),n17)) != sum(n6,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[6209,6247,theory(equality)]) ).

cnf(6275,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n2 != sum(n6,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6272,1035,theory(equality)]),592,theory(equality)]),1009,theory(equality)]),392,theory(equality)]),629,theory(equality)]) ).

cnf(6276,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6275,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),829,theory(equality)]) ).

cnf(6277,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[6276,theory(equality)]) ).

cnf(6302,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n23)),sum(pred(n23),n17)) != sum(n6,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[6209,6277,theory(equality)]) ).

cnf(6305,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n6,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6302,1036,theory(equality)]),593,theory(equality)]),1010,theory(equality)]),418,theory(equality)]),656,theory(equality)]) ).

cnf(6306,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6305,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),831,theory(equality)]) ).

cnf(6307,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6306,theory(equality)]) ).

cnf(6330,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n15,succ(n22)),sum(pred(n22),n17)) != sum(n6,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[6209,6307,theory(equality)]) ).

cnf(6333,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n24 != sum(n6,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6330,1037,theory(equality)]),594,theory(equality)]),1011,theory(equality)]),444,theory(equality)]),683,theory(equality)]) ).

cnf(6334,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6333,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),833,theory(equality)]) ).

cnf(6335,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[6334,theory(equality)]) ).

cnf(6357,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n21)),sum(pred(n21),n17)) != sum(n6,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[6209,6335,theory(equality)]) ).

cnf(6360,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = 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
    | n22 != sum(n6,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6357,1038,theory(equality)]),595,theory(equality)]),1012,theory(equality)]),470,theory(equality)]),710,theory(equality)]) ).

cnf(6361,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6360,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),835,theory(equality)]) ).

cnf(6362,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6361,theory(equality)]) ).

cnf(6383,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n15,succ(n20)),sum(pred(n20),n17)) != sum(n6,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[6209,6362,theory(equality)]) ).

cnf(6386,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n20 != sum(n6,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6383,1039,theory(equality)]),596,theory(equality)]),1013,theory(equality)]),496,theory(equality)]),737,theory(equality)]) ).

cnf(6387,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6386,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),837,theory(equality)]) ).

cnf(6388,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[6387,theory(equality)]) ).

cnf(6408,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n19)),sum(pred(n19),n17)) != sum(n6,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[6209,6388,theory(equality)]) ).

cnf(6411,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n6,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6408,1040,theory(equality)]),597,theory(equality)]),1014,theory(equality)]),522,theory(equality)]),764,theory(equality)]) ).

cnf(6412,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6411,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),839,theory(equality)]) ).

cnf(6413,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6412,theory(equality)]) ).

cnf(6432,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n15,succ(n18)),sum(pred(n18),n17)) != sum(n6,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[6209,6413,theory(equality)]) ).

cnf(6435,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n16 != sum(n6,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6432,1041,theory(equality)]),598,theory(equality)]),1015,theory(equality)]),548,theory(equality)]),791,theory(equality)]) ).

cnf(6436,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6435,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),841,theory(equality)]) ).

cnf(6437,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[6436,theory(equality)]) ).

cnf(6455,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n17)),sum(pred(n17),n17)) != sum(n6,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[6209,6437,theory(equality)]) ).

cnf(6458,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n6,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6455,1042,theory(equality)]),599,theory(equality)]),1016,theory(equality)]),574,theory(equality)]),818,theory(equality)]) ).

cnf(6459,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6458,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),843,theory(equality)]) ).

cnf(6460,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6459,theory(equality)]) ).

cnf(6477,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n15,succ(n16)),sum(pred(n16),n17)) != sum(n6,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[6209,6460,theory(equality)]) ).

cnf(6480,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n12 != sum(n6,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6477,1043,theory(equality)]),600,theory(equality)]),1017,theory(equality)]),600,theory(equality)]),845,theory(equality)]) ).

cnf(6481,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6480,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),845,theory(equality)]) ).

cnf(6482,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[6481,theory(equality)]) ).

cnf(6498,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n15)),sum(pred(n15),n17)) != sum(n6,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[6209,6482,theory(equality)]) ).

cnf(6501,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n6,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6498,1044,theory(equality)]),601,theory(equality)]),1018,theory(equality)]),626,theory(equality)]),872,theory(equality)]) ).

cnf(6502,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6501,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),847,theory(equality)]) ).

cnf(6503,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6502,theory(equality)]) ).

cnf(6518,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n15,succ(n14)),sum(pred(n14),n17)) != sum(n6,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[6209,6503,theory(equality)]) ).

cnf(6521,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n8 != sum(n6,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6518,1045,theory(equality)]),602,theory(equality)]),1019,theory(equality)]),652,theory(equality)]),899,theory(equality)]) ).

cnf(6522,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6521,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),849,theory(equality)]) ).

cnf(6523,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[6522,theory(equality)]) ).

cnf(6537,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n13)),sum(pred(n13),n17)) != sum(n6,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[6209,6523,theory(equality)]) ).

cnf(6540,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n6,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6537,1046,theory(equality)]),603,theory(equality)]),1020,theory(equality)]),678,theory(equality)]),926,theory(equality)]) ).

cnf(6541,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6540,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),851,theory(equality)]) ).

cnf(6542,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6541,theory(equality)]) ).

cnf(6555,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n15,succ(n12)),sum(pred(n12),n17)) != sum(n6,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[6209,6542,theory(equality)]) ).

cnf(6558,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n4 != sum(n6,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6555,1047,theory(equality)]),604,theory(equality)]),1021,theory(equality)]),704,theory(equality)]),953,theory(equality)]) ).

cnf(6559,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6558,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),827,theory(equality)]) ).

cnf(6560,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[6559,theory(equality)]) ).

cnf(6572,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n11)),sum(pred(n11),n17)) != sum(n6,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[6209,6560,theory(equality)]) ).

cnf(6575,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n6,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6572,1048,theory(equality)]),605,theory(equality)]),1022,theory(equality)]),730,theory(equality)]),980,theory(equality)]) ).

cnf(6576,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6575,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),829,theory(equality)]) ).

cnf(6577,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6576,theory(equality)]) ).

cnf(6588,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n15,succ(n10)),sum(pred(n10),n17)) != sum(n6,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[6209,6577,theory(equality)]) ).

cnf(6591,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n0 != sum(n6,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6588,1049,theory(equality)]),606,theory(equality)]),1023,theory(equality)]),756,theory(equality)]),1007,theory(equality)]) ).

cnf(6592,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6591,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),831,theory(equality)]) ).

cnf(6593,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[6592,theory(equality)]) ).

cnf(6603,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n9)),sum(pred(n9),n17)) != sum(n6,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[6209,6593,theory(equality)]) ).

cnf(6606,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n24 != sum(n6,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6603,1050,theory(equality)]),607,theory(equality)]),1024,theory(equality)]),782,theory(equality)]),332,theory(equality)]) ).

cnf(6607,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6606,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),833,theory(equality)]) ).

cnf(6608,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6607,theory(equality)]) ).

cnf(6617,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n15,succ(n8)),sum(pred(n8),n17)) != sum(n6,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[6209,6608,theory(equality)]) ).

cnf(6620,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n22 != sum(n6,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6617,1051,theory(equality)]),608,theory(equality)]),1025,theory(equality)]),808,theory(equality)]),359,theory(equality)]) ).

cnf(6621,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6620,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),835,theory(equality)]) ).

cnf(6622,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[6621,theory(equality)]) ).

cnf(6630,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n7)),sum(pred(n7),n17)) != sum(n6,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[6209,6622,theory(equality)]) ).

cnf(6633,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n6,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6630,1052,theory(equality)]),609,theory(equality)]),1026,theory(equality)]),834,theory(equality)]),386,theory(equality)]) ).

cnf(6634,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6633,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),837,theory(equality)]) ).

cnf(6635,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6634,theory(equality)]) ).

cnf(6642,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n15,succ(n6)),sum(pred(n6),n17)) != sum(n6,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[6209,6635,theory(equality)]) ).

cnf(6645,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n18 != sum(n6,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6642,1053,theory(equality)]),610,theory(equality)]),1027,theory(equality)]),860,theory(equality)]),413,theory(equality)]) ).

cnf(6646,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6645,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),839,theory(equality)]) ).

cnf(6647,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[6646,theory(equality)]) ).

cnf(6653,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n5)),sum(pred(n5),n17)) != sum(n6,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[6209,6647,theory(equality)]) ).

cnf(6656,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n6,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6653,1054,theory(equality)]),611,theory(equality)]),1028,theory(equality)]),886,theory(equality)]),440,theory(equality)]) ).

cnf(6657,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6656,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),841,theory(equality)]) ).

cnf(6658,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6657,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
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n15,succ(n4)),sum(pred(n4),n17)) != sum(n6,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[6209,6658,theory(equality)]) ).

cnf(6666,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n14 != sum(n6,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6663,1055,theory(equality)]),612,theory(equality)]),1029,theory(equality)]),912,theory(equality)]),467,theory(equality)]) ).

cnf(6667,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6666,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),843,theory(equality)]) ).

cnf(6668,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[6667,theory(equality)]) ).

cnf(6672,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n15,succ(n3)),sum(pred(n3),n17)) != sum(n6,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[6209,6668,theory(equality)]) ).

cnf(6675,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n6,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6672,1056,theory(equality)]),613,theory(equality)]),1030,theory(equality)]),938,theory(equality)]),494,theory(equality)]) ).

cnf(6676,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6675,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),845,theory(equality)]) ).

cnf(6677,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6676,theory(equality)]) ).

cnf(6680,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | sum(sum(n15,succ(n2)),sum(pred(n2),n17)) != sum(n6,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[6209,6677,theory(equality)]) ).

cnf(6683,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | n10 != sum(n6,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6680,1057,theory(equality)]),614,theory(equality)]),1031,theory(equality)]),964,theory(equality)]),521,theory(equality)]) ).

cnf(6684,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6683,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),847,theory(equality)]) ).

cnf(6685,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6684,theory(equality)]) ).

cnf(6687,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | sum(sum(n15,succ(n1)),sum(pred(n1),n17)) != sum(n6,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[6209,6685,theory(equality)]) ).

cnf(6690,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | n8 != sum(n6,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6687,1058,theory(equality)]),615,theory(equality)]),1032,theory(equality)]),990,theory(equality)]),548,theory(equality)]) ).

cnf(6691,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6690,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),849,theory(equality)]) ).

cnf(6692,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(cn,[status(thm)],[6691,theory(equality)]) ).

cnf(6707,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n15),succ(esk2_0)),sum(pred(esk2_0),succ(n15))) != sum(sum(pred(n15),succ(n15)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,6692,theory(equality)]) ).

cnf(6708,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n15),n1),sum(n25,succ(n15))) != sum(sum(pred(n15),succ(n15)),n0) ),
    inference(spm,[status(thm)],[1115,6692,theory(equality)]) ).

cnf(6709,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n14,succ(esk2_0)),sum(pred(esk2_0),n16)) != sum(sum(pred(n15),succ(n15)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6707,1018,theory(equality)]),1044,theory(equality)]) ).

cnf(6710,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n14,succ(esk2_0)),sum(pred(esk2_0),n16)) != sum(n4,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6709,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]) ).

cnf(6711,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | 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
    | n4 != sum(sum(pred(n15),succ(n15)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6708,1018,theory(equality)]),642,theory(equality)]),1044,theory(equality)]),341,theory(equality)]),602,theory(equality)]) ).

cnf(6712,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6711,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),903,theory(equality)]) ).

cnf(6713,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[6712,theory(equality)]) ).

cnf(6743,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n25)),sum(pred(n25),n16)) != sum(n4,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[6710,6713,theory(equality)]) ).

cnf(6746,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n2 != sum(n4,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6743,1034,theory(equality)]),643,theory(equality)]),1008,theory(equality)]),367,theory(equality)]),629,theory(equality)]) ).

cnf(6747,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6746,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),879,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
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6747,theory(equality)]) ).

cnf(6773,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n14,succ(n24)),sum(pred(n24),n16)) != sum(n4,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[6710,6748,theory(equality)]) ).

cnf(6776,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n0 != sum(n4,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6773,1035,theory(equality)]),618,theory(equality)]),1009,theory(equality)]),393,theory(equality)]),656,theory(equality)]) ).

cnf(6777,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6776,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),881,theory(equality)]) ).

cnf(6778,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[6777,theory(equality)]) ).

cnf(6802,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n23)),sum(pred(n23),n16)) != sum(n4,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[6710,6778,theory(equality)]) ).

cnf(6805,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n24 != sum(n4,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6802,1036,theory(equality)]),619,theory(equality)]),1010,theory(equality)]),419,theory(equality)]),683,theory(equality)]) ).

cnf(6806,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6805,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),883,theory(equality)]) ).

cnf(6807,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6806,theory(equality)]) ).

cnf(6832,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n14,succ(n22)),sum(pred(n22),n16)) != sum(n4,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[6710,6807,theory(equality)]) ).

cnf(6835,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n22 != sum(n4,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6832,1037,theory(equality)]),620,theory(equality)]),1011,theory(equality)]),445,theory(equality)]),710,theory(equality)]) ).

cnf(6836,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6835,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),885,theory(equality)]) ).

cnf(6837,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[6836,theory(equality)]) ).

cnf(6859,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n21)),sum(pred(n21),n16)) != sum(n4,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[6710,6837,theory(equality)]) ).

cnf(6862,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = 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
    | n20 != sum(n4,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6859,1038,theory(equality)]),621,theory(equality)]),1012,theory(equality)]),471,theory(equality)]),737,theory(equality)]) ).

cnf(6863,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6862,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),887,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
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6863,theory(equality)]) ).

cnf(6885,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n14,succ(n20)),sum(pred(n20),n16)) != sum(n4,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[6710,6864,theory(equality)]) ).

cnf(6888,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n18 != sum(n4,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6885,1039,theory(equality)]),622,theory(equality)]),1013,theory(equality)]),497,theory(equality)]),764,theory(equality)]) ).

cnf(6889,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6888,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),889,theory(equality)]) ).

cnf(6890,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[6889,theory(equality)]) ).

cnf(6910,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n19)),sum(pred(n19),n16)) != sum(n4,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[6710,6890,theory(equality)]) ).

cnf(6913,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n4,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6910,1040,theory(equality)]),623,theory(equality)]),1014,theory(equality)]),523,theory(equality)]),791,theory(equality)]) ).

cnf(6914,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6913,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),891,theory(equality)]) ).

cnf(6915,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6914,theory(equality)]) ).

cnf(6934,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n14,succ(n18)),sum(pred(n18),n16)) != sum(n4,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[6710,6915,theory(equality)]) ).

cnf(6937,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n14 != sum(n4,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6934,1041,theory(equality)]),624,theory(equality)]),1015,theory(equality)]),549,theory(equality)]),818,theory(equality)]) ).

cnf(6938,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6937,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),893,theory(equality)]) ).

cnf(6939,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[6938,theory(equality)]) ).

cnf(6957,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n17)),sum(pred(n17),n16)) != sum(n4,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[6710,6939,theory(equality)]) ).

cnf(6960,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n4,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6957,1042,theory(equality)]),625,theory(equality)]),1016,theory(equality)]),575,theory(equality)]),845,theory(equality)]) ).

cnf(6961,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6960,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),895,theory(equality)]) ).

cnf(6962,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[6961,theory(equality)]) ).

cnf(6979,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n14,succ(n16)),sum(pred(n16),n16)) != sum(n4,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[6710,6962,theory(equality)]) ).

cnf(6982,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n10 != sum(n4,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6979,1043,theory(equality)]),626,theory(equality)]),1017,theory(equality)]),601,theory(equality)]),872,theory(equality)]) ).

cnf(6983,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6982,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),897,theory(equality)]) ).

cnf(6984,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[6983,theory(equality)]) ).

cnf(7000,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n15)),sum(pred(n15),n16)) != sum(n4,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[6710,6984,theory(equality)]) ).

cnf(7003,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n4,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7000,1044,theory(equality)]),627,theory(equality)]),1018,theory(equality)]),627,theory(equality)]),899,theory(equality)]) ).

cnf(7004,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7003,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),899,theory(equality)]) ).

cnf(7005,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7004,theory(equality)]) ).

cnf(7020,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n14,succ(n14)),sum(pred(n14),n16)) != sum(n4,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[6710,7005,theory(equality)]) ).

cnf(7023,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n6 != sum(n4,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7020,1045,theory(equality)]),628,theory(equality)]),1019,theory(equality)]),653,theory(equality)]),926,theory(equality)]) ).

cnf(7024,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7023,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),901,theory(equality)]) ).

cnf(7025,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[7024,theory(equality)]) ).

cnf(7039,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n13)),sum(pred(n13),n16)) != sum(n4,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[6710,7025,theory(equality)]) ).

cnf(7042,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n4,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7039,1046,theory(equality)]),629,theory(equality)]),1020,theory(equality)]),679,theory(equality)]),953,theory(equality)]) ).

cnf(7043,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7042,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),903,theory(equality)]) ).

cnf(7044,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7043,theory(equality)]) ).

cnf(7057,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n14,succ(n12)),sum(pred(n12),n16)) != sum(n4,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[6710,7044,theory(equality)]) ).

cnf(7060,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n2 != sum(n4,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7057,1047,theory(equality)]),630,theory(equality)]),1021,theory(equality)]),705,theory(equality)]),980,theory(equality)]) ).

cnf(7061,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7060,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),879,theory(equality)]) ).

cnf(7062,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[7061,theory(equality)]) ).

cnf(7074,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n11)),sum(pred(n11),n16)) != sum(n4,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[6710,7062,theory(equality)]) ).

cnf(7077,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n4,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7074,1048,theory(equality)]),631,theory(equality)]),1022,theory(equality)]),731,theory(equality)]),1007,theory(equality)]) ).

cnf(7078,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7077,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),881,theory(equality)]) ).

cnf(7079,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7078,theory(equality)]) ).

cnf(7090,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n14,succ(n10)),sum(pred(n10),n16)) != sum(n4,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[6710,7079,theory(equality)]) ).

cnf(7093,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n24 != sum(n4,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7090,1049,theory(equality)]),632,theory(equality)]),1023,theory(equality)]),757,theory(equality)]),332,theory(equality)]) ).

cnf(7094,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7093,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),883,theory(equality)]) ).

cnf(7095,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[7094,theory(equality)]) ).

cnf(7105,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n9)),sum(pred(n9),n16)) != sum(n4,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[6710,7095,theory(equality)]) ).

cnf(7108,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n22 != sum(n4,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7105,1050,theory(equality)]),633,theory(equality)]),1024,theory(equality)]),783,theory(equality)]),359,theory(equality)]) ).

cnf(7109,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7108,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),885,theory(equality)]) ).

cnf(7110,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7109,theory(equality)]) ).

cnf(7119,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n14,succ(n8)),sum(pred(n8),n16)) != sum(n4,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[6710,7110,theory(equality)]) ).

cnf(7122,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n20 != sum(n4,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7119,1051,theory(equality)]),634,theory(equality)]),1025,theory(equality)]),809,theory(equality)]),386,theory(equality)]) ).

cnf(7123,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7122,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),887,theory(equality)]) ).

cnf(7124,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[7123,theory(equality)]) ).

cnf(7132,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n7)),sum(pred(n7),n16)) != sum(n4,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[6710,7124,theory(equality)]) ).

cnf(7135,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n4,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7132,1052,theory(equality)]),635,theory(equality)]),1026,theory(equality)]),835,theory(equality)]),413,theory(equality)]) ).

cnf(7136,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7135,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),889,theory(equality)]) ).

cnf(7137,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7136,theory(equality)]) ).

cnf(7144,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n14,succ(n6)),sum(pred(n6),n16)) != sum(n4,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[6710,7137,theory(equality)]) ).

cnf(7147,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n16 != sum(n4,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7144,1053,theory(equality)]),636,theory(equality)]),1027,theory(equality)]),861,theory(equality)]),440,theory(equality)]) ).

cnf(7148,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7147,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),891,theory(equality)]) ).

cnf(7149,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[7148,theory(equality)]) ).

cnf(7155,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n5)),sum(pred(n5),n16)) != sum(n4,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[6710,7149,theory(equality)]) ).

cnf(7158,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n4,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7155,1054,theory(equality)]),637,theory(equality)]),1028,theory(equality)]),887,theory(equality)]),467,theory(equality)]) ).

cnf(7159,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7158,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),893,theory(equality)]) ).

cnf(7160,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7159,theory(equality)]) ).

cnf(7165,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n14,succ(n4)),sum(pred(n4),n16)) != sum(n4,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[6710,7160,theory(equality)]) ).

cnf(7168,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n12 != sum(n4,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7165,1055,theory(equality)]),638,theory(equality)]),1029,theory(equality)]),913,theory(equality)]),494,theory(equality)]) ).

cnf(7169,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7168,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),895,theory(equality)]) ).

cnf(7170,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[7169,theory(equality)]) ).

cnf(7174,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n14,succ(n3)),sum(pred(n3),n16)) != sum(n4,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[6710,7170,theory(equality)]) ).

cnf(7177,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n4,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7174,1056,theory(equality)]),639,theory(equality)]),1030,theory(equality)]),939,theory(equality)]),521,theory(equality)]) ).

cnf(7178,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7177,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),897,theory(equality)]) ).

cnf(7179,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7178,theory(equality)]) ).

cnf(7182,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | sum(sum(n14,succ(n2)),sum(pred(n2),n16)) != sum(n4,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[6710,7179,theory(equality)]) ).

cnf(7185,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | n8 != sum(n4,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7182,1057,theory(equality)]),640,theory(equality)]),1031,theory(equality)]),965,theory(equality)]),548,theory(equality)]) ).

cnf(7186,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7185,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),899,theory(equality)]) ).

cnf(7187,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7186,theory(equality)]) ).

cnf(7189,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | sum(sum(n14,succ(n1)),sum(pred(n1),n16)) != sum(n4,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[6710,7187,theory(equality)]) ).

cnf(7192,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | n6 != sum(n4,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7189,1058,theory(equality)]),641,theory(equality)]),1032,theory(equality)]),991,theory(equality)]),575,theory(equality)]) ).

cnf(7193,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7192,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),901,theory(equality)]) ).

cnf(7194,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14 ),
    inference(cn,[status(thm)],[7193,theory(equality)]) ).

cnf(7208,plain,
    ( esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n14),succ(esk2_0)),sum(pred(esk2_0),succ(n14))) != sum(sum(pred(n14),succ(n14)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,7194,theory(equality)]) ).

cnf(7209,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n14),n1),sum(n25,succ(n14))) != sum(sum(pred(n14),succ(n14)),n0) ),
    inference(spm,[status(thm)],[1115,7194,theory(equality)]) ).

cnf(7210,plain,
    ( esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n13,succ(esk2_0)),sum(pred(esk2_0),n15)) != sum(sum(pred(n14),succ(n14)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[7208,1019,theory(equality)]),1045,theory(equality)]) ).

cnf(7211,plain,
    ( esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n13,succ(esk2_0)),sum(pred(esk2_0),n15)) != sum(n2,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7210,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]) ).

cnf(7212,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n2 != sum(sum(pred(n14),succ(n14)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7209,1019,theory(equality)]),668,theory(equality)]),1045,theory(equality)]),342,theory(equality)]),629,theory(equality)]) ).

cnf(7213,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7212,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),955,theory(equality)]) ).

cnf(7214,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[7213,theory(equality)]) ).

cnf(7244,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n25)),sum(pred(n25),n15)) != sum(n2,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[7211,7214,theory(equality)]) ).

cnf(7247,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n2,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7244,1034,theory(equality)]),669,theory(equality)]),1008,theory(equality)]),368,theory(equality)]),656,theory(equality)]) ).

cnf(7248,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7247,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),931,theory(equality)]) ).

cnf(7249,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7248,theory(equality)]) ).

cnf(7274,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n13,succ(n24)),sum(pred(n24),n15)) != sum(n2,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[7211,7249,theory(equality)]) ).

cnf(7277,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n24 != sum(n2,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7274,1035,theory(equality)]),644,theory(equality)]),1009,theory(equality)]),394,theory(equality)]),683,theory(equality)]) ).

cnf(7278,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7277,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),933,theory(equality)]) ).

cnf(7279,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[7278,theory(equality)]) ).

cnf(7303,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n23)),sum(pred(n23),n15)) != sum(n2,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[7211,7279,theory(equality)]) ).

cnf(7306,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n22 != sum(n2,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7303,1036,theory(equality)]),645,theory(equality)]),1010,theory(equality)]),420,theory(equality)]),710,theory(equality)]) ).

cnf(7307,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7306,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),935,theory(equality)]) ).

cnf(7308,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7307,theory(equality)]) ).

cnf(7331,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n13,succ(n22)),sum(pred(n22),n15)) != sum(n2,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[7211,7308,theory(equality)]) ).

cnf(7334,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n20 != sum(n2,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7331,1037,theory(equality)]),646,theory(equality)]),1011,theory(equality)]),446,theory(equality)]),737,theory(equality)]) ).

cnf(7335,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7334,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),937,theory(equality)]) ).

cnf(7336,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[7335,theory(equality)]) ).

cnf(7358,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n21)),sum(pred(n21),n15)) != sum(n2,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[7211,7336,theory(equality)]) ).

cnf(7361,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = 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
    | n18 != sum(n2,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7358,1038,theory(equality)]),647,theory(equality)]),1012,theory(equality)]),472,theory(equality)]),764,theory(equality)]) ).

cnf(7362,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7361,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),939,theory(equality)]) ).

cnf(7363,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7362,theory(equality)]) ).

cnf(7388,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n13,succ(n20)),sum(pred(n20),n15)) != sum(n2,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[7211,7363,theory(equality)]) ).

cnf(7391,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n16 != sum(n2,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7388,1039,theory(equality)]),648,theory(equality)]),1013,theory(equality)]),498,theory(equality)]),791,theory(equality)]) ).

cnf(7392,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7391,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),941,theory(equality)]) ).

cnf(7393,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[7392,theory(equality)]) ).

cnf(7413,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n19)),sum(pred(n19),n15)) != sum(n2,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[7211,7393,theory(equality)]) ).

cnf(7416,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n2,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7413,1040,theory(equality)]),649,theory(equality)]),1014,theory(equality)]),524,theory(equality)]),818,theory(equality)]) ).

cnf(7417,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7416,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),943,theory(equality)]) ).

cnf(7418,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7417,theory(equality)]) ).

cnf(7437,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n13,succ(n18)),sum(pred(n18),n15)) != sum(n2,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[7211,7418,theory(equality)]) ).

cnf(7440,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n12 != sum(n2,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7437,1041,theory(equality)]),650,theory(equality)]),1015,theory(equality)]),550,theory(equality)]),845,theory(equality)]) ).

cnf(7441,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7440,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),945,theory(equality)]) ).

cnf(7442,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[7441,theory(equality)]) ).

cnf(7460,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n17)),sum(pred(n17),n15)) != sum(n2,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[7211,7442,theory(equality)]) ).

cnf(7463,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n2,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7460,1042,theory(equality)]),651,theory(equality)]),1016,theory(equality)]),576,theory(equality)]),872,theory(equality)]) ).

cnf(7464,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7463,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),947,theory(equality)]) ).

cnf(7465,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7464,theory(equality)]) ).

cnf(7482,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n13,succ(n16)),sum(pred(n16),n15)) != sum(n2,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[7211,7465,theory(equality)]) ).

cnf(7485,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n8 != sum(n2,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7482,1043,theory(equality)]),652,theory(equality)]),1017,theory(equality)]),602,theory(equality)]),899,theory(equality)]) ).

cnf(7486,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7485,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),949,theory(equality)]) ).

cnf(7487,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[7486,theory(equality)]) ).

cnf(7503,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n15)),sum(pred(n15),n15)) != sum(n2,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[7211,7487,theory(equality)]) ).

cnf(7506,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n2,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7503,1044,theory(equality)]),653,theory(equality)]),1018,theory(equality)]),628,theory(equality)]),926,theory(equality)]) ).

cnf(7507,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7506,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),951,theory(equality)]) ).

cnf(7508,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7507,theory(equality)]) ).

cnf(7523,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n13,succ(n14)),sum(pred(n14),n15)) != sum(n2,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[7211,7508,theory(equality)]) ).

cnf(7526,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n4 != sum(n2,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7523,1045,theory(equality)]),654,theory(equality)]),1019,theory(equality)]),654,theory(equality)]),953,theory(equality)]) ).

cnf(7527,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7526,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),953,theory(equality)]) ).

cnf(7528,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[7527,theory(equality)]) ).

cnf(7542,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n13)),sum(pred(n13),n15)) != sum(n2,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[7211,7528,theory(equality)]) ).

cnf(7545,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n2,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7542,1046,theory(equality)]),655,theory(equality)]),1020,theory(equality)]),680,theory(equality)]),980,theory(equality)]) ).

cnf(7546,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7545,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),955,theory(equality)]) ).

cnf(7547,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7546,theory(equality)]) ).

cnf(7560,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n13,succ(n12)),sum(pred(n12),n15)) != sum(n2,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[7211,7547,theory(equality)]) ).

cnf(7563,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n0 != sum(n2,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7560,1047,theory(equality)]),656,theory(equality)]),1021,theory(equality)]),706,theory(equality)]),1007,theory(equality)]) ).

cnf(7564,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7563,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),931,theory(equality)]) ).

cnf(7565,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[7564,theory(equality)]) ).

cnf(7577,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n11)),sum(pred(n11),n15)) != sum(n2,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[7211,7565,theory(equality)]) ).

cnf(7580,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n24 != sum(n2,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7577,1048,theory(equality)]),657,theory(equality)]),1022,theory(equality)]),732,theory(equality)]),332,theory(equality)]) ).

cnf(7581,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7580,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),933,theory(equality)]) ).

cnf(7582,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7581,theory(equality)]) ).

cnf(7593,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n13,succ(n10)),sum(pred(n10),n15)) != sum(n2,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[7211,7582,theory(equality)]) ).

cnf(7596,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n22 != sum(n2,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7593,1049,theory(equality)]),658,theory(equality)]),1023,theory(equality)]),758,theory(equality)]),359,theory(equality)]) ).

cnf(7597,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7596,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),935,theory(equality)]) ).

cnf(7598,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[7597,theory(equality)]) ).

cnf(7608,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n9)),sum(pred(n9),n15)) != sum(n2,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[7211,7598,theory(equality)]) ).

cnf(7611,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n2,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7608,1050,theory(equality)]),659,theory(equality)]),1024,theory(equality)]),784,theory(equality)]),386,theory(equality)]) ).

cnf(7612,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7611,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),937,theory(equality)]) ).

cnf(7613,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7612,theory(equality)]) ).

cnf(7622,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n13,succ(n8)),sum(pred(n8),n15)) != sum(n2,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[7211,7613,theory(equality)]) ).

cnf(7625,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n18 != sum(n2,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7622,1051,theory(equality)]),660,theory(equality)]),1025,theory(equality)]),810,theory(equality)]),413,theory(equality)]) ).

cnf(7626,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7625,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),939,theory(equality)]) ).

cnf(7627,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[7626,theory(equality)]) ).

cnf(7635,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n7)),sum(pred(n7),n15)) != sum(n2,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[7211,7627,theory(equality)]) ).

cnf(7638,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n2,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7635,1052,theory(equality)]),661,theory(equality)]),1026,theory(equality)]),836,theory(equality)]),440,theory(equality)]) ).

cnf(7639,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7638,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),941,theory(equality)]) ).

cnf(7640,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7639,theory(equality)]) ).

cnf(7647,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n13,succ(n6)),sum(pred(n6),n15)) != sum(n2,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[7211,7640,theory(equality)]) ).

cnf(7650,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n14 != sum(n2,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7647,1053,theory(equality)]),662,theory(equality)]),1027,theory(equality)]),862,theory(equality)]),467,theory(equality)]) ).

cnf(7651,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7650,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),943,theory(equality)]) ).

cnf(7652,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[7651,theory(equality)]) ).

cnf(7658,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n5)),sum(pred(n5),n15)) != sum(n2,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[7211,7652,theory(equality)]) ).

cnf(7661,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n2,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7658,1054,theory(equality)]),663,theory(equality)]),1028,theory(equality)]),888,theory(equality)]),494,theory(equality)]) ).

cnf(7662,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7661,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),945,theory(equality)]) ).

cnf(7663,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7662,theory(equality)]) ).

cnf(7668,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n13,succ(n4)),sum(pred(n4),n15)) != sum(n2,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[7211,7663,theory(equality)]) ).

cnf(7671,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n10 != sum(n2,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7668,1055,theory(equality)]),664,theory(equality)]),1029,theory(equality)]),914,theory(equality)]),521,theory(equality)]) ).

cnf(7672,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7671,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),947,theory(equality)]) ).

cnf(7673,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[7672,theory(equality)]) ).

cnf(7677,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n13,succ(n3)),sum(pred(n3),n15)) != sum(n2,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[7211,7673,theory(equality)]) ).

cnf(7680,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n2,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7677,1056,theory(equality)]),665,theory(equality)]),1030,theory(equality)]),940,theory(equality)]),548,theory(equality)]) ).

cnf(7681,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7680,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),949,theory(equality)]) ).

cnf(7682,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7681,theory(equality)]) ).

cnf(7685,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | sum(sum(n13,succ(n2)),sum(pred(n2),n15)) != sum(n2,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[7211,7682,theory(equality)]) ).

cnf(7688,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | n6 != sum(n2,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7685,1057,theory(equality)]),666,theory(equality)]),1031,theory(equality)]),966,theory(equality)]),575,theory(equality)]) ).

cnf(7689,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7688,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),951,theory(equality)]) ).

cnf(7690,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7689,theory(equality)]) ).

cnf(7692,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | sum(sum(n13,succ(n1)),sum(pred(n1),n15)) != sum(n2,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[7211,7690,theory(equality)]) ).

cnf(7695,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | n4 != sum(n2,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7692,1058,theory(equality)]),667,theory(equality)]),1032,theory(equality)]),992,theory(equality)]),602,theory(equality)]) ).

cnf(7696,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7695,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),953,theory(equality)]) ).

cnf(7697,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13 ),
    inference(cn,[status(thm)],[7696,theory(equality)]) ).

cnf(7710,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n13),succ(esk2_0)),sum(pred(esk2_0),succ(n13))) != sum(sum(pred(n13),succ(n13)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,7697,theory(equality)]) ).

cnf(7711,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n13),n1),sum(n25,succ(n13))) != sum(sum(pred(n13),succ(n13)),n0) ),
    inference(spm,[status(thm)],[1115,7697,theory(equality)]) ).

cnf(7712,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n12,succ(esk2_0)),sum(pred(esk2_0),n14)) != sum(sum(pred(n13),succ(n13)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[7710,1020,theory(equality)]),1046,theory(equality)]) ).

cnf(7713,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n12,succ(esk2_0)),sum(pred(esk2_0),n14)) != sum(n0,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7712,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]) ).

cnf(7714,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n0 != sum(sum(pred(n13),succ(n13)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7711,1020,theory(equality)]),694,theory(equality)]),1046,theory(equality)]),343,theory(equality)]),656,theory(equality)]) ).

cnf(7715,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7714,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),1007,theory(equality)]) ).

cnf(7716,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[7715,theory(equality)]) ).

cnf(7746,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n25)),sum(pred(n25),n14)) != sum(n0,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[7713,7716,theory(equality)]) ).

cnf(7749,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n24 != sum(n0,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7746,1034,theory(equality)]),695,theory(equality)]),1008,theory(equality)]),369,theory(equality)]),683,theory(equality)]) ).

cnf(7750,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7749,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),983,theory(equality)]) ).

cnf(7751,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7750,theory(equality)]) ).

cnf(7776,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n12,succ(n24)),sum(pred(n24),n14)) != sum(n0,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[7713,7751,theory(equality)]) ).

cnf(7779,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n22 != sum(n0,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7776,1035,theory(equality)]),670,theory(equality)]),1009,theory(equality)]),395,theory(equality)]),710,theory(equality)]) ).

cnf(7780,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7779,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),985,theory(equality)]) ).

cnf(7781,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[7780,theory(equality)]) ).

cnf(7805,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n23)),sum(pred(n23),n14)) != sum(n0,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[7713,7781,theory(equality)]) ).

cnf(7808,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n20 != sum(n0,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7805,1036,theory(equality)]),671,theory(equality)]),1010,theory(equality)]),421,theory(equality)]),737,theory(equality)]) ).

cnf(7809,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7808,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),987,theory(equality)]) ).

cnf(7810,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7809,theory(equality)]) ).

cnf(7833,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n12,succ(n22)),sum(pred(n22),n14)) != sum(n0,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[7713,7810,theory(equality)]) ).

cnf(7836,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n18 != sum(n0,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7833,1037,theory(equality)]),672,theory(equality)]),1011,theory(equality)]),447,theory(equality)]),764,theory(equality)]) ).

cnf(7837,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7836,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),989,theory(equality)]) ).

cnf(7838,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[7837,theory(equality)]) ).

cnf(7860,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n21)),sum(pred(n21),n14)) != sum(n0,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[7713,7838,theory(equality)]) ).

cnf(7863,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = 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
    | n16 != sum(n0,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7860,1038,theory(equality)]),673,theory(equality)]),1012,theory(equality)]),473,theory(equality)]),791,theory(equality)]) ).

cnf(7864,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7863,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),991,theory(equality)]) ).

cnf(7865,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7864,theory(equality)]) ).

cnf(7886,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n12,succ(n20)),sum(pred(n20),n14)) != sum(n0,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[7713,7865,theory(equality)]) ).

cnf(7889,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n14 != sum(n0,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7886,1039,theory(equality)]),674,theory(equality)]),1013,theory(equality)]),499,theory(equality)]),818,theory(equality)]) ).

cnf(7890,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7889,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),993,theory(equality)]) ).

cnf(7891,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[7890,theory(equality)]) ).

cnf(7911,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n19)),sum(pred(n19),n14)) != sum(n0,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[7713,7891,theory(equality)]) ).

cnf(7914,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n0,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7911,1040,theory(equality)]),675,theory(equality)]),1014,theory(equality)]),525,theory(equality)]),845,theory(equality)]) ).

cnf(7915,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7914,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),995,theory(equality)]) ).

cnf(7916,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7915,theory(equality)]) ).

cnf(7935,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n12,succ(n18)),sum(pred(n18),n14)) != sum(n0,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[7713,7916,theory(equality)]) ).

cnf(7938,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n10 != sum(n0,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7935,1041,theory(equality)]),676,theory(equality)]),1015,theory(equality)]),551,theory(equality)]),872,theory(equality)]) ).

cnf(7939,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7938,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),997,theory(equality)]) ).

cnf(7940,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[7939,theory(equality)]) ).

cnf(7965,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n17)),sum(pred(n17),n14)) != sum(n0,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[7713,7940,theory(equality)]) ).

cnf(7968,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n0,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7965,1042,theory(equality)]),677,theory(equality)]),1016,theory(equality)]),577,theory(equality)]),899,theory(equality)]) ).

cnf(7969,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7968,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),999,theory(equality)]) ).

cnf(7970,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[7969,theory(equality)]) ).

cnf(7987,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n12,succ(n16)),sum(pred(n16),n14)) != sum(n0,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[7713,7970,theory(equality)]) ).

cnf(7990,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n6 != sum(n0,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7987,1043,theory(equality)]),678,theory(equality)]),1017,theory(equality)]),603,theory(equality)]),926,theory(equality)]) ).

cnf(7991,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7990,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),1001,theory(equality)]) ).

cnf(7992,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[7991,theory(equality)]) ).

cnf(8008,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n15)),sum(pred(n15),n14)) != sum(n0,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[7713,7992,theory(equality)]) ).

cnf(8011,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n0,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8008,1044,theory(equality)]),679,theory(equality)]),1018,theory(equality)]),629,theory(equality)]),953,theory(equality)]) ).

cnf(8012,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8011,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),1003,theory(equality)]) ).

cnf(8013,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8012,theory(equality)]) ).

cnf(8028,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n12,succ(n14)),sum(pred(n14),n14)) != sum(n0,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[7713,8013,theory(equality)]) ).

cnf(8031,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n2 != sum(n0,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8028,1045,theory(equality)]),680,theory(equality)]),1019,theory(equality)]),655,theory(equality)]),980,theory(equality)]) ).

cnf(8032,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8031,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),1005,theory(equality)]) ).

cnf(8033,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[8032,theory(equality)]) ).

cnf(8047,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n13)),sum(pred(n13),n14)) != sum(n0,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[7713,8033,theory(equality)]) ).

cnf(8050,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n0,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8047,1046,theory(equality)]),681,theory(equality)]),1020,theory(equality)]),681,theory(equality)]),1007,theory(equality)]) ).

cnf(8051,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8050,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),1007,theory(equality)]) ).

cnf(8052,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8051,theory(equality)]) ).

cnf(8065,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n12,succ(n12)),sum(pred(n12),n14)) != sum(n0,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[7713,8052,theory(equality)]) ).

cnf(8068,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n24 != sum(n0,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8065,1047,theory(equality)]),682,theory(equality)]),1021,theory(equality)]),707,theory(equality)]),332,theory(equality)]) ).

cnf(8069,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8068,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),983,theory(equality)]) ).

cnf(8070,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[8069,theory(equality)]) ).

cnf(8082,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n11)),sum(pred(n11),n14)) != sum(n0,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[7713,8070,theory(equality)]) ).

cnf(8085,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n22 != sum(n0,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8082,1048,theory(equality)]),683,theory(equality)]),1022,theory(equality)]),733,theory(equality)]),359,theory(equality)]) ).

cnf(8086,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8085,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),985,theory(equality)]) ).

cnf(8087,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8086,theory(equality)]) ).

cnf(8098,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n12,succ(n10)),sum(pred(n10),n14)) != sum(n0,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[7713,8087,theory(equality)]) ).

cnf(8101,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n20 != sum(n0,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8098,1049,theory(equality)]),684,theory(equality)]),1023,theory(equality)]),759,theory(equality)]),386,theory(equality)]) ).

cnf(8102,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8101,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),987,theory(equality)]) ).

cnf(8103,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[8102,theory(equality)]) ).

cnf(8113,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n9)),sum(pred(n9),n14)) != sum(n0,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[7713,8103,theory(equality)]) ).

cnf(8116,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n0,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8113,1050,theory(equality)]),685,theory(equality)]),1024,theory(equality)]),785,theory(equality)]),413,theory(equality)]) ).

cnf(8117,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8116,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),989,theory(equality)]) ).

cnf(8118,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8117,theory(equality)]) ).

cnf(8127,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n12,succ(n8)),sum(pred(n8),n14)) != sum(n0,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[7713,8118,theory(equality)]) ).

cnf(8130,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n16 != sum(n0,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8127,1051,theory(equality)]),686,theory(equality)]),1025,theory(equality)]),811,theory(equality)]),440,theory(equality)]) ).

cnf(8131,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8130,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),991,theory(equality)]) ).

cnf(8132,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[8131,theory(equality)]) ).

cnf(8140,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n7)),sum(pred(n7),n14)) != sum(n0,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[7713,8132,theory(equality)]) ).

cnf(8143,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n0,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8140,1052,theory(equality)]),687,theory(equality)]),1026,theory(equality)]),837,theory(equality)]),467,theory(equality)]) ).

cnf(8144,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8143,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),993,theory(equality)]) ).

cnf(8145,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8144,theory(equality)]) ).

cnf(8152,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n12,succ(n6)),sum(pred(n6),n14)) != sum(n0,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[7713,8145,theory(equality)]) ).

cnf(8155,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n12 != sum(n0,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8152,1053,theory(equality)]),688,theory(equality)]),1027,theory(equality)]),863,theory(equality)]),494,theory(equality)]) ).

cnf(8156,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8155,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),995,theory(equality)]) ).

cnf(8157,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[8156,theory(equality)]) ).

cnf(8163,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n5)),sum(pred(n5),n14)) != sum(n0,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[7713,8157,theory(equality)]) ).

cnf(8166,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n0,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8163,1054,theory(equality)]),689,theory(equality)]),1028,theory(equality)]),889,theory(equality)]),521,theory(equality)]) ).

cnf(8167,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8166,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),997,theory(equality)]) ).

cnf(8168,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8167,theory(equality)]) ).

cnf(8173,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n12,succ(n4)),sum(pred(n4),n14)) != sum(n0,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[7713,8168,theory(equality)]) ).

cnf(8176,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n8 != sum(n0,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8173,1055,theory(equality)]),690,theory(equality)]),1029,theory(equality)]),915,theory(equality)]),548,theory(equality)]) ).

cnf(8177,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8176,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),999,theory(equality)]) ).

cnf(8178,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[8177,theory(equality)]) ).

cnf(8182,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n12,succ(n3)),sum(pred(n3),n14)) != sum(n0,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[7713,8178,theory(equality)]) ).

cnf(8185,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n0,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8182,1056,theory(equality)]),691,theory(equality)]),1030,theory(equality)]),941,theory(equality)]),575,theory(equality)]) ).

cnf(8186,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8185,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),1001,theory(equality)]) ).

cnf(8187,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8186,theory(equality)]) ).

cnf(8190,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | sum(sum(n12,succ(n2)),sum(pred(n2),n14)) != sum(n0,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[7713,8187,theory(equality)]) ).

cnf(8193,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | n4 != sum(n0,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8190,1057,theory(equality)]),692,theory(equality)]),1031,theory(equality)]),967,theory(equality)]),602,theory(equality)]) ).

cnf(8194,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8193,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),1003,theory(equality)]) ).

cnf(8195,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8194,theory(equality)]) ).

cnf(8197,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | sum(sum(n12,succ(n1)),sum(pred(n1),n14)) != sum(n0,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[7713,8195,theory(equality)]) ).

cnf(8200,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | n2 != sum(n0,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8197,1058,theory(equality)]),693,theory(equality)]),1032,theory(equality)]),993,theory(equality)]),629,theory(equality)]) ).

cnf(8201,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8200,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),1005,theory(equality)]) ).

cnf(8202,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12 ),
    inference(cn,[status(thm)],[8201,theory(equality)]) ).

cnf(8214,plain,
    ( esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n12),succ(esk2_0)),sum(pred(esk2_0),succ(n12))) != sum(sum(pred(n12),succ(n12)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,8202,theory(equality)]) ).

cnf(8215,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n12),n1),sum(n25,succ(n12))) != sum(sum(pred(n12),succ(n12)),n0) ),
    inference(spm,[status(thm)],[1115,8202,theory(equality)]) ).

cnf(8216,plain,
    ( esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n11,succ(esk2_0)),sum(pred(esk2_0),n13)) != sum(sum(pred(n12),succ(n12)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[8214,1021,theory(equality)]),1047,theory(equality)]) ).

cnf(8217,plain,
    ( esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n11,succ(esk2_0)),sum(pred(esk2_0),n13)) != sum(n24,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8216,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]) ).

cnf(8218,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n24 != sum(sum(pred(n12),succ(n12)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8215,1021,theory(equality)]),720,theory(equality)]),1047,theory(equality)]),344,theory(equality)]),683,theory(equality)]) ).

cnf(8219,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8218,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),383,theory(equality)]) ).

cnf(8220,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[8219,theory(equality)]) ).

cnf(8250,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n25)),sum(pred(n25),n13)) != sum(n24,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[8217,8220,theory(equality)]) ).

cnf(8253,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n22 != sum(n24,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8250,1034,theory(equality)]),721,theory(equality)]),1008,theory(equality)]),370,theory(equality)]),710,theory(equality)]) ).

cnf(8254,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8253,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),359,theory(equality)]) ).

cnf(8255,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8254,theory(equality)]) ).

cnf(8280,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n11,succ(n24)),sum(pred(n24),n13)) != sum(n24,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[8217,8255,theory(equality)]) ).

cnf(8283,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n20 != sum(n24,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8280,1035,theory(equality)]),696,theory(equality)]),1009,theory(equality)]),396,theory(equality)]),737,theory(equality)]) ).

cnf(8284,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8283,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),361,theory(equality)]) ).

cnf(8285,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[8284,theory(equality)]) ).

cnf(8309,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n23)),sum(pred(n23),n13)) != sum(n24,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[8217,8285,theory(equality)]) ).

cnf(8312,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n18 != sum(n24,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8309,1036,theory(equality)]),697,theory(equality)]),1010,theory(equality)]),422,theory(equality)]),764,theory(equality)]) ).

cnf(8313,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8312,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),363,theory(equality)]) ).

cnf(8314,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8313,theory(equality)]) ).

cnf(8339,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n11,succ(n22)),sum(pred(n22),n13)) != sum(n24,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[8217,8314,theory(equality)]) ).

cnf(8342,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n16 != sum(n24,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8339,1037,theory(equality)]),698,theory(equality)]),1011,theory(equality)]),448,theory(equality)]),791,theory(equality)]) ).

cnf(8343,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8342,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),365,theory(equality)]) ).

cnf(8344,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[8343,theory(equality)]) ).

cnf(8366,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n21)),sum(pred(n21),n13)) != sum(n24,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[8217,8344,theory(equality)]) ).

cnf(8369,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = 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
    | n14 != sum(n24,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8366,1038,theory(equality)]),699,theory(equality)]),1012,theory(equality)]),474,theory(equality)]),818,theory(equality)]) ).

cnf(8370,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8369,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),367,theory(equality)]) ).

cnf(8371,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8370,theory(equality)]) ).

cnf(8392,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n11,succ(n20)),sum(pred(n20),n13)) != sum(n24,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[8217,8371,theory(equality)]) ).

cnf(8395,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n12 != sum(n24,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8392,1039,theory(equality)]),700,theory(equality)]),1013,theory(equality)]),500,theory(equality)]),845,theory(equality)]) ).

cnf(8396,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8395,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),369,theory(equality)]) ).

cnf(8397,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[8396,theory(equality)]) ).

cnf(8417,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n19)),sum(pred(n19),n13)) != sum(n24,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[8217,8397,theory(equality)]) ).

cnf(8420,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n24,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8417,1040,theory(equality)]),701,theory(equality)]),1014,theory(equality)]),526,theory(equality)]),872,theory(equality)]) ).

cnf(8421,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8420,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),371,theory(equality)]) ).

cnf(8422,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8421,theory(equality)]) ).

cnf(8441,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n11,succ(n18)),sum(pred(n18),n13)) != sum(n24,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[8217,8422,theory(equality)]) ).

cnf(8444,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n8 != sum(n24,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8441,1041,theory(equality)]),702,theory(equality)]),1015,theory(equality)]),552,theory(equality)]),899,theory(equality)]) ).

cnf(8445,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8444,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),373,theory(equality)]) ).

cnf(8446,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[8445,theory(equality)]) ).

cnf(8464,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n17)),sum(pred(n17),n13)) != sum(n24,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[8217,8446,theory(equality)]) ).

cnf(8467,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n24,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8464,1042,theory(equality)]),703,theory(equality)]),1016,theory(equality)]),578,theory(equality)]),926,theory(equality)]) ).

cnf(8468,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8467,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),375,theory(equality)]) ).

cnf(8469,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8468,theory(equality)]) ).

cnf(8486,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n11,succ(n16)),sum(pred(n16),n13)) != sum(n24,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[8217,8469,theory(equality)]) ).

cnf(8489,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n4 != sum(n24,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8486,1043,theory(equality)]),704,theory(equality)]),1017,theory(equality)]),604,theory(equality)]),953,theory(equality)]) ).

cnf(8490,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8489,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),377,theory(equality)]) ).

cnf(8491,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[8490,theory(equality)]) ).

cnf(8507,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n15)),sum(pred(n15),n13)) != sum(n24,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[8217,8491,theory(equality)]) ).

cnf(8510,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n24,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8507,1044,theory(equality)]),705,theory(equality)]),1018,theory(equality)]),630,theory(equality)]),980,theory(equality)]) ).

cnf(8511,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8510,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),379,theory(equality)]) ).

cnf(8512,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8511,theory(equality)]) ).

cnf(8527,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n11,succ(n14)),sum(pred(n14),n13)) != sum(n24,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[8217,8512,theory(equality)]) ).

cnf(8530,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n0 != sum(n24,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8527,1045,theory(equality)]),706,theory(equality)]),1019,theory(equality)]),656,theory(equality)]),1007,theory(equality)]) ).

cnf(8531,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8530,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),381,theory(equality)]) ).

cnf(8532,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[8531,theory(equality)]) ).

cnf(8546,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n13)),sum(pred(n13),n13)) != sum(n24,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[8217,8532,theory(equality)]) ).

cnf(8549,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n24 != sum(n24,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8546,1046,theory(equality)]),707,theory(equality)]),1020,theory(equality)]),682,theory(equality)]),332,theory(equality)]) ).

cnf(8550,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8549,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),383,theory(equality)]) ).

cnf(8551,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8550,theory(equality)]) ).

cnf(8564,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n11,succ(n12)),sum(pred(n12),n13)) != sum(n24,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[8217,8551,theory(equality)]) ).

cnf(8567,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n22 != sum(n24,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8564,1047,theory(equality)]),708,theory(equality)]),1021,theory(equality)]),708,theory(equality)]),359,theory(equality)]) ).

cnf(8568,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8567,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),359,theory(equality)]) ).

cnf(8569,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[8568,theory(equality)]) ).

cnf(8581,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n11)),sum(pred(n11),n13)) != sum(n24,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[8217,8569,theory(equality)]) ).

cnf(8584,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n24,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8581,1048,theory(equality)]),709,theory(equality)]),1022,theory(equality)]),734,theory(equality)]),386,theory(equality)]) ).

cnf(8585,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8584,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),361,theory(equality)]) ).

cnf(8586,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8585,theory(equality)]) ).

cnf(8597,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n11,succ(n10)),sum(pred(n10),n13)) != sum(n24,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[8217,8586,theory(equality)]) ).

cnf(8600,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n18 != sum(n24,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8597,1049,theory(equality)]),710,theory(equality)]),1023,theory(equality)]),760,theory(equality)]),413,theory(equality)]) ).

cnf(8601,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8600,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),363,theory(equality)]) ).

cnf(8602,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[8601,theory(equality)]) ).

cnf(8612,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n9)),sum(pred(n9),n13)) != sum(n24,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[8217,8602,theory(equality)]) ).

cnf(8615,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n24,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8612,1050,theory(equality)]),711,theory(equality)]),1024,theory(equality)]),786,theory(equality)]),440,theory(equality)]) ).

cnf(8616,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8615,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),365,theory(equality)]) ).

cnf(8617,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8616,theory(equality)]) ).

cnf(8626,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n11,succ(n8)),sum(pred(n8),n13)) != sum(n24,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[8217,8617,theory(equality)]) ).

cnf(8629,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n14 != sum(n24,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8626,1051,theory(equality)]),712,theory(equality)]),1025,theory(equality)]),812,theory(equality)]),467,theory(equality)]) ).

cnf(8630,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8629,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),367,theory(equality)]) ).

cnf(8631,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[8630,theory(equality)]) ).

cnf(8639,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n7)),sum(pred(n7),n13)) != sum(n24,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[8217,8631,theory(equality)]) ).

cnf(8642,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n24,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8639,1052,theory(equality)]),713,theory(equality)]),1026,theory(equality)]),838,theory(equality)]),494,theory(equality)]) ).

cnf(8643,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8642,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),369,theory(equality)]) ).

cnf(8644,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8643,theory(equality)]) ).

cnf(8651,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n11,succ(n6)),sum(pred(n6),n13)) != sum(n24,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[8217,8644,theory(equality)]) ).

cnf(8654,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n10 != sum(n24,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8651,1053,theory(equality)]),714,theory(equality)]),1027,theory(equality)]),864,theory(equality)]),521,theory(equality)]) ).

cnf(8655,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8654,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),371,theory(equality)]) ).

cnf(8656,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[8655,theory(equality)]) ).

cnf(8662,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n5)),sum(pred(n5),n13)) != sum(n24,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[8217,8656,theory(equality)]) ).

cnf(8665,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n24,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8662,1054,theory(equality)]),715,theory(equality)]),1028,theory(equality)]),890,theory(equality)]),548,theory(equality)]) ).

cnf(8666,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8665,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),373,theory(equality)]) ).

cnf(8667,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8666,theory(equality)]) ).

cnf(8672,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n11,succ(n4)),sum(pred(n4),n13)) != sum(n24,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[8217,8667,theory(equality)]) ).

cnf(8675,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n6 != sum(n24,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8672,1055,theory(equality)]),716,theory(equality)]),1029,theory(equality)]),916,theory(equality)]),575,theory(equality)]) ).

cnf(8676,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8675,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),375,theory(equality)]) ).

cnf(8677,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[8676,theory(equality)]) ).

cnf(8681,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n11,succ(n3)),sum(pred(n3),n13)) != sum(n24,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[8217,8677,theory(equality)]) ).

cnf(8684,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n24,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8681,1056,theory(equality)]),717,theory(equality)]),1030,theory(equality)]),942,theory(equality)]),602,theory(equality)]) ).

cnf(8685,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8684,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),377,theory(equality)]) ).

cnf(8686,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8685,theory(equality)]) ).

cnf(8689,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | sum(sum(n11,succ(n2)),sum(pred(n2),n13)) != sum(n24,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[8217,8686,theory(equality)]) ).

cnf(8692,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | n2 != sum(n24,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8689,1057,theory(equality)]),718,theory(equality)]),1031,theory(equality)]),968,theory(equality)]),629,theory(equality)]) ).

cnf(8693,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8692,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),379,theory(equality)]) ).

cnf(8694,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8693,theory(equality)]) ).

cnf(8696,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | sum(sum(n11,succ(n1)),sum(pred(n1),n13)) != sum(n24,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[8217,8694,theory(equality)]) ).

cnf(8699,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | n0 != sum(n24,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8696,1058,theory(equality)]),719,theory(equality)]),1032,theory(equality)]),994,theory(equality)]),656,theory(equality)]) ).

cnf(8700,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8699,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),381,theory(equality)]) ).

cnf(8701,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11 ),
    inference(cn,[status(thm)],[8700,theory(equality)]) ).

cnf(8712,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n11),succ(esk2_0)),sum(pred(esk2_0),succ(n11))) != sum(sum(pred(n11),succ(n11)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,8701,theory(equality)]) ).

cnf(8713,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n11),n1),sum(n25,succ(n11))) != sum(sum(pred(n11),succ(n11)),n0) ),
    inference(spm,[status(thm)],[1115,8701,theory(equality)]) ).

cnf(8714,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n10,succ(esk2_0)),sum(pred(esk2_0),n12)) != sum(sum(pred(n11),succ(n11)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[8712,1022,theory(equality)]),1048,theory(equality)]) ).

cnf(8715,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n10,succ(esk2_0)),sum(pred(esk2_0),n12)) != sum(n22,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8714,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]) ).

cnf(8716,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n22 != sum(sum(pred(n11),succ(n11)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8713,1022,theory(equality)]),746,theory(equality)]),1048,theory(equality)]),345,theory(equality)]),710,theory(equality)]) ).

cnf(8717,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8716,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),435,theory(equality)]) ).

cnf(8718,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[8717,theory(equality)]) ).

cnf(8748,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n25)),sum(pred(n25),n12)) != sum(n22,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[8715,8718,theory(equality)]) ).

cnf(8751,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n20 != sum(n22,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8748,1034,theory(equality)]),747,theory(equality)]),1008,theory(equality)]),371,theory(equality)]),737,theory(equality)]) ).

cnf(8752,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8751,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),411,theory(equality)]) ).

cnf(8753,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8752,theory(equality)]) ).

cnf(8778,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n10,succ(n24)),sum(pred(n24),n12)) != sum(n22,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[8715,8753,theory(equality)]) ).

cnf(8781,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n18 != sum(n22,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8778,1035,theory(equality)]),722,theory(equality)]),1009,theory(equality)]),397,theory(equality)]),764,theory(equality)]) ).

cnf(8782,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8781,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),413,theory(equality)]) ).

cnf(8783,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[8782,theory(equality)]) ).

cnf(8807,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n23)),sum(pred(n23),n12)) != sum(n22,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[8715,8783,theory(equality)]) ).

cnf(8810,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n16 != sum(n22,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8807,1036,theory(equality)]),723,theory(equality)]),1010,theory(equality)]),423,theory(equality)]),791,theory(equality)]) ).

cnf(8811,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8810,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),415,theory(equality)]) ).

cnf(8812,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8811,theory(equality)]) ).

cnf(8835,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n10,succ(n22)),sum(pred(n22),n12)) != sum(n22,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[8715,8812,theory(equality)]) ).

cnf(8838,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n14 != sum(n22,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8835,1037,theory(equality)]),724,theory(equality)]),1011,theory(equality)]),449,theory(equality)]),818,theory(equality)]) ).

cnf(8839,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8838,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),417,theory(equality)]) ).

cnf(8840,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[8839,theory(equality)]) ).

cnf(8862,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n21)),sum(pred(n21),n12)) != sum(n22,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[8715,8840,theory(equality)]) ).

cnf(8865,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = 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
    | n12 != sum(n22,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8862,1038,theory(equality)]),725,theory(equality)]),1012,theory(equality)]),475,theory(equality)]),845,theory(equality)]) ).

cnf(8866,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8865,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),419,theory(equality)]) ).

cnf(8867,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8866,theory(equality)]) ).

cnf(8888,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n10,succ(n20)),sum(pred(n20),n12)) != sum(n22,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[8715,8867,theory(equality)]) ).

cnf(8891,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n10 != sum(n22,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8888,1039,theory(equality)]),726,theory(equality)]),1013,theory(equality)]),501,theory(equality)]),872,theory(equality)]) ).

cnf(8892,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8891,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),421,theory(equality)]) ).

cnf(8893,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[8892,theory(equality)]) ).

cnf(8913,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n19)),sum(pred(n19),n12)) != sum(n22,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[8715,8893,theory(equality)]) ).

cnf(8916,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n22,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8913,1040,theory(equality)]),727,theory(equality)]),1014,theory(equality)]),527,theory(equality)]),899,theory(equality)]) ).

cnf(8917,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8916,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),423,theory(equality)]) ).

cnf(8918,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8917,theory(equality)]) ).

cnf(8937,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n10,succ(n18)),sum(pred(n18),n12)) != sum(n22,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[8715,8918,theory(equality)]) ).

cnf(8940,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n6 != sum(n22,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8937,1041,theory(equality)]),728,theory(equality)]),1015,theory(equality)]),553,theory(equality)]),926,theory(equality)]) ).

cnf(8941,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8940,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),425,theory(equality)]) ).

cnf(8942,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[8941,theory(equality)]) ).

cnf(8967,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n17)),sum(pred(n17),n12)) != sum(n22,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[8715,8942,theory(equality)]) ).

cnf(8970,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n22,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8967,1042,theory(equality)]),729,theory(equality)]),1016,theory(equality)]),579,theory(equality)]),953,theory(equality)]) ).

cnf(8971,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8970,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),427,theory(equality)]) ).

cnf(8972,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[8971,theory(equality)]) ).

cnf(8989,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n10,succ(n16)),sum(pred(n16),n12)) != sum(n22,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[8715,8972,theory(equality)]) ).

cnf(8992,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n2 != sum(n22,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8989,1043,theory(equality)]),730,theory(equality)]),1017,theory(equality)]),605,theory(equality)]),980,theory(equality)]) ).

cnf(8993,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8992,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),429,theory(equality)]) ).

cnf(8994,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[8993,theory(equality)]) ).

cnf(9010,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n15)),sum(pred(n15),n12)) != sum(n22,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[8715,8994,theory(equality)]) ).

cnf(9013,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n22,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9010,1044,theory(equality)]),731,theory(equality)]),1018,theory(equality)]),631,theory(equality)]),1007,theory(equality)]) ).

cnf(9014,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9013,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),431,theory(equality)]) ).

cnf(9015,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9014,theory(equality)]) ).

cnf(9030,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n10,succ(n14)),sum(pred(n14),n12)) != sum(n22,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[8715,9015,theory(equality)]) ).

cnf(9033,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n24 != sum(n22,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9030,1045,theory(equality)]),732,theory(equality)]),1019,theory(equality)]),657,theory(equality)]),332,theory(equality)]) ).

cnf(9034,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9033,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),433,theory(equality)]) ).

cnf(9035,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[9034,theory(equality)]) ).

cnf(9049,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n13)),sum(pred(n13),n12)) != sum(n22,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[8715,9035,theory(equality)]) ).

cnf(9052,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n22 != sum(n22,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9049,1046,theory(equality)]),733,theory(equality)]),1020,theory(equality)]),683,theory(equality)]),359,theory(equality)]) ).

cnf(9053,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9052,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),435,theory(equality)]) ).

cnf(9054,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9053,theory(equality)]) ).

cnf(9067,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n10,succ(n12)),sum(pred(n12),n12)) != sum(n22,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[8715,9054,theory(equality)]) ).

cnf(9070,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n20 != sum(n22,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9067,1047,theory(equality)]),734,theory(equality)]),1021,theory(equality)]),709,theory(equality)]),386,theory(equality)]) ).

cnf(9071,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9070,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),411,theory(equality)]) ).

cnf(9072,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[9071,theory(equality)]) ).

cnf(9084,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n11)),sum(pred(n11),n12)) != sum(n22,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[8715,9072,theory(equality)]) ).

cnf(9087,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n22,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9084,1048,theory(equality)]),735,theory(equality)]),1022,theory(equality)]),735,theory(equality)]),413,theory(equality)]) ).

cnf(9088,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9087,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),413,theory(equality)]) ).

cnf(9089,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9088,theory(equality)]) ).

cnf(9100,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n10,succ(n10)),sum(pred(n10),n12)) != sum(n22,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[8715,9089,theory(equality)]) ).

cnf(9103,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n16 != sum(n22,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9100,1049,theory(equality)]),736,theory(equality)]),1023,theory(equality)]),761,theory(equality)]),440,theory(equality)]) ).

cnf(9104,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9103,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),415,theory(equality)]) ).

cnf(9105,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[9104,theory(equality)]) ).

cnf(9115,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n9)),sum(pred(n9),n12)) != sum(n22,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[8715,9105,theory(equality)]) ).

cnf(9118,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n22,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9115,1050,theory(equality)]),737,theory(equality)]),1024,theory(equality)]),787,theory(equality)]),467,theory(equality)]) ).

cnf(9119,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9118,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),417,theory(equality)]) ).

cnf(9120,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9119,theory(equality)]) ).

cnf(9129,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n10,succ(n8)),sum(pred(n8),n12)) != sum(n22,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[8715,9120,theory(equality)]) ).

cnf(9132,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n12 != sum(n22,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9129,1051,theory(equality)]),738,theory(equality)]),1025,theory(equality)]),813,theory(equality)]),494,theory(equality)]) ).

cnf(9133,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9132,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),419,theory(equality)]) ).

cnf(9134,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[9133,theory(equality)]) ).

cnf(9142,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n7)),sum(pred(n7),n12)) != sum(n22,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[8715,9134,theory(equality)]) ).

cnf(9145,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n22,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9142,1052,theory(equality)]),739,theory(equality)]),1026,theory(equality)]),839,theory(equality)]),521,theory(equality)]) ).

cnf(9146,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9145,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),421,theory(equality)]) ).

cnf(9147,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9146,theory(equality)]) ).

cnf(9154,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n10,succ(n6)),sum(pred(n6),n12)) != sum(n22,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[8715,9147,theory(equality)]) ).

cnf(9157,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n8 != sum(n22,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9154,1053,theory(equality)]),740,theory(equality)]),1027,theory(equality)]),865,theory(equality)]),548,theory(equality)]) ).

cnf(9158,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9157,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),423,theory(equality)]) ).

cnf(9159,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[9158,theory(equality)]) ).

cnf(9165,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n5)),sum(pred(n5),n12)) != sum(n22,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[8715,9159,theory(equality)]) ).

cnf(9168,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n22,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9165,1054,theory(equality)]),741,theory(equality)]),1028,theory(equality)]),891,theory(equality)]),575,theory(equality)]) ).

cnf(9169,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9168,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),425,theory(equality)]) ).

cnf(9170,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9169,theory(equality)]) ).

cnf(9175,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n10,succ(n4)),sum(pred(n4),n12)) != sum(n22,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[8715,9170,theory(equality)]) ).

cnf(9178,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n4 != sum(n22,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9175,1055,theory(equality)]),742,theory(equality)]),1029,theory(equality)]),917,theory(equality)]),602,theory(equality)]) ).

cnf(9179,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9178,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),427,theory(equality)]) ).

cnf(9180,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[9179,theory(equality)]) ).

cnf(9184,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n10,succ(n3)),sum(pred(n3),n12)) != sum(n22,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[8715,9180,theory(equality)]) ).

cnf(9187,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n22,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9184,1056,theory(equality)]),743,theory(equality)]),1030,theory(equality)]),943,theory(equality)]),629,theory(equality)]) ).

cnf(9188,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9187,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),429,theory(equality)]) ).

cnf(9189,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9188,theory(equality)]) ).

cnf(9192,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | sum(sum(n10,succ(n2)),sum(pred(n2),n12)) != sum(n22,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[8715,9189,theory(equality)]) ).

cnf(9195,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | n0 != sum(n22,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9192,1057,theory(equality)]),744,theory(equality)]),1031,theory(equality)]),969,theory(equality)]),656,theory(equality)]) ).

cnf(9196,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9195,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),431,theory(equality)]) ).

cnf(9197,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9196,theory(equality)]) ).

cnf(9199,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | sum(sum(n10,succ(n1)),sum(pred(n1),n12)) != sum(n22,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[8715,9197,theory(equality)]) ).

cnf(9202,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | n24 != sum(n22,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9199,1058,theory(equality)]),745,theory(equality)]),1032,theory(equality)]),995,theory(equality)]),683,theory(equality)]) ).

cnf(9203,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9202,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),433,theory(equality)]) ).

cnf(9204,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10 ),
    inference(cn,[status(thm)],[9203,theory(equality)]) ).

cnf(9214,plain,
    ( esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n10),succ(esk2_0)),sum(pred(esk2_0),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,9204,theory(equality)]) ).

cnf(9215,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n10),n1),sum(n25,succ(n10))) != sum(sum(pred(n10),succ(n10)),n0) ),
    inference(spm,[status(thm)],[1115,9204,theory(equality)]) ).

cnf(9216,plain,
    ( esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n9,succ(esk2_0)),sum(pred(esk2_0),n11)) != sum(sum(pred(n10),succ(n10)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[9214,1023,theory(equality)]),1049,theory(equality)]) ).

cnf(9217,plain,
    ( esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n9,succ(esk2_0)),sum(pred(esk2_0),n11)) != sum(n20,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9216,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]) ).

cnf(9218,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n20 != sum(sum(pred(n10),succ(n10)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9215,1023,theory(equality)]),772,theory(equality)]),1049,theory(equality)]),346,theory(equality)]),737,theory(equality)]) ).

cnf(9219,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9218,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),487,theory(equality)]) ).

cnf(9220,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[9219,theory(equality)]) ).

cnf(9250,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n25)),sum(pred(n25),n11)) != sum(n20,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[9217,9220,theory(equality)]) ).

cnf(9253,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n18 != sum(n20,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9250,1034,theory(equality)]),773,theory(equality)]),1008,theory(equality)]),372,theory(equality)]),764,theory(equality)]) ).

cnf(9254,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9253,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),463,theory(equality)]) ).

cnf(9255,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9254,theory(equality)]) ).

cnf(9280,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n9,succ(n24)),sum(pred(n24),n11)) != sum(n20,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[9217,9255,theory(equality)]) ).

cnf(9283,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n16 != sum(n20,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9280,1035,theory(equality)]),748,theory(equality)]),1009,theory(equality)]),398,theory(equality)]),791,theory(equality)]) ).

cnf(9284,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9283,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),465,theory(equality)]) ).

cnf(9285,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[9284,theory(equality)]) ).

cnf(9309,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n23)),sum(pred(n23),n11)) != sum(n20,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[9217,9285,theory(equality)]) ).

cnf(9312,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n14 != sum(n20,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9309,1036,theory(equality)]),749,theory(equality)]),1010,theory(equality)]),424,theory(equality)]),818,theory(equality)]) ).

cnf(9313,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9312,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),467,theory(equality)]) ).

cnf(9314,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9313,theory(equality)]) ).

cnf(9337,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n9,succ(n22)),sum(pred(n22),n11)) != sum(n20,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[9217,9314,theory(equality)]) ).

cnf(9340,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n12 != sum(n20,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9337,1037,theory(equality)]),750,theory(equality)]),1011,theory(equality)]),450,theory(equality)]),845,theory(equality)]) ).

cnf(9341,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9340,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),469,theory(equality)]) ).

cnf(9342,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[9341,theory(equality)]) ).

cnf(9364,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n21)),sum(pred(n21),n11)) != sum(n20,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[9217,9342,theory(equality)]) ).

cnf(9367,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = 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
    | n10 != sum(n20,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9364,1038,theory(equality)]),751,theory(equality)]),1012,theory(equality)]),476,theory(equality)]),872,theory(equality)]) ).

cnf(9368,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9367,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),471,theory(equality)]) ).

cnf(9369,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9368,theory(equality)]) ).

cnf(9394,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n9,succ(n20)),sum(pred(n20),n11)) != sum(n20,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[9217,9369,theory(equality)]) ).

cnf(9397,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n8 != sum(n20,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9394,1039,theory(equality)]),752,theory(equality)]),1013,theory(equality)]),502,theory(equality)]),899,theory(equality)]) ).

cnf(9398,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9397,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),473,theory(equality)]) ).

cnf(9399,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[9398,theory(equality)]) ).

cnf(9419,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n19)),sum(pred(n19),n11)) != sum(n20,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[9217,9399,theory(equality)]) ).

cnf(9422,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n20,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9419,1040,theory(equality)]),753,theory(equality)]),1014,theory(equality)]),528,theory(equality)]),926,theory(equality)]) ).

cnf(9423,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9422,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),475,theory(equality)]) ).

cnf(9424,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9423,theory(equality)]) ).

cnf(9443,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n9,succ(n18)),sum(pred(n18),n11)) != sum(n20,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[9217,9424,theory(equality)]) ).

cnf(9446,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n4 != sum(n20,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9443,1041,theory(equality)]),754,theory(equality)]),1015,theory(equality)]),554,theory(equality)]),953,theory(equality)]) ).

cnf(9447,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9446,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),477,theory(equality)]) ).

cnf(9448,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[9447,theory(equality)]) ).

cnf(9466,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n17)),sum(pred(n17),n11)) != sum(n20,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[9217,9448,theory(equality)]) ).

cnf(9469,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n20,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9466,1042,theory(equality)]),755,theory(equality)]),1016,theory(equality)]),580,theory(equality)]),980,theory(equality)]) ).

cnf(9470,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9469,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),479,theory(equality)]) ).

cnf(9471,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9470,theory(equality)]) ).

cnf(9488,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n9,succ(n16)),sum(pred(n16),n11)) != sum(n20,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[9217,9471,theory(equality)]) ).

cnf(9491,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n0 != sum(n20,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9488,1043,theory(equality)]),756,theory(equality)]),1017,theory(equality)]),606,theory(equality)]),1007,theory(equality)]) ).

cnf(9492,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9491,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),481,theory(equality)]) ).

cnf(9493,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[9492,theory(equality)]) ).

cnf(9509,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n15)),sum(pred(n15),n11)) != sum(n20,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[9217,9493,theory(equality)]) ).

cnf(9512,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n24 != sum(n20,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9509,1044,theory(equality)]),757,theory(equality)]),1018,theory(equality)]),632,theory(equality)]),332,theory(equality)]) ).

cnf(9513,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9512,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),483,theory(equality)]) ).

cnf(9514,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9513,theory(equality)]) ).

cnf(9529,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n9,succ(n14)),sum(pred(n14),n11)) != sum(n20,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[9217,9514,theory(equality)]) ).

cnf(9532,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n22 != sum(n20,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9529,1045,theory(equality)]),758,theory(equality)]),1019,theory(equality)]),658,theory(equality)]),359,theory(equality)]) ).

cnf(9533,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9532,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),485,theory(equality)]) ).

cnf(9534,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[9533,theory(equality)]) ).

cnf(9548,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n13)),sum(pred(n13),n11)) != sum(n20,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[9217,9534,theory(equality)]) ).

cnf(9551,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n20,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9548,1046,theory(equality)]),759,theory(equality)]),1020,theory(equality)]),684,theory(equality)]),386,theory(equality)]) ).

cnf(9552,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9551,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),487,theory(equality)]) ).

cnf(9553,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9552,theory(equality)]) ).

cnf(9566,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n9,succ(n12)),sum(pred(n12),n11)) != sum(n20,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[9217,9553,theory(equality)]) ).

cnf(9569,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n18 != sum(n20,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9566,1047,theory(equality)]),760,theory(equality)]),1021,theory(equality)]),710,theory(equality)]),413,theory(equality)]) ).

cnf(9570,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9569,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),463,theory(equality)]) ).

cnf(9571,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[9570,theory(equality)]) ).

cnf(9583,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n11)),sum(pred(n11),n11)) != sum(n20,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[9217,9571,theory(equality)]) ).

cnf(9586,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n20,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9583,1048,theory(equality)]),761,theory(equality)]),1022,theory(equality)]),736,theory(equality)]),440,theory(equality)]) ).

cnf(9587,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9586,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),465,theory(equality)]) ).

cnf(9588,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9587,theory(equality)]) ).

cnf(9599,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n9,succ(n10)),sum(pred(n10),n11)) != sum(n20,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[9217,9588,theory(equality)]) ).

cnf(9602,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n14 != sum(n20,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9599,1049,theory(equality)]),762,theory(equality)]),1023,theory(equality)]),762,theory(equality)]),467,theory(equality)]) ).

cnf(9603,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9602,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),467,theory(equality)]) ).

cnf(9604,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[9603,theory(equality)]) ).

cnf(9614,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n9)),sum(pred(n9),n11)) != sum(n20,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[9217,9604,theory(equality)]) ).

cnf(9617,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n20,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9614,1050,theory(equality)]),763,theory(equality)]),1024,theory(equality)]),788,theory(equality)]),494,theory(equality)]) ).

cnf(9618,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9617,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),469,theory(equality)]) ).

cnf(9619,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9618,theory(equality)]) ).

cnf(9628,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n9,succ(n8)),sum(pred(n8),n11)) != sum(n20,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[9217,9619,theory(equality)]) ).

cnf(9631,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n10 != sum(n20,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9628,1051,theory(equality)]),764,theory(equality)]),1025,theory(equality)]),814,theory(equality)]),521,theory(equality)]) ).

cnf(9632,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9631,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),471,theory(equality)]) ).

cnf(9633,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[9632,theory(equality)]) ).

cnf(9641,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n7)),sum(pred(n7),n11)) != sum(n20,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[9217,9633,theory(equality)]) ).

cnf(9644,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n20,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9641,1052,theory(equality)]),765,theory(equality)]),1026,theory(equality)]),840,theory(equality)]),548,theory(equality)]) ).

cnf(9645,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9644,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),473,theory(equality)]) ).

cnf(9646,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9645,theory(equality)]) ).

cnf(9653,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n9,succ(n6)),sum(pred(n6),n11)) != sum(n20,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[9217,9646,theory(equality)]) ).

cnf(9656,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n6 != sum(n20,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9653,1053,theory(equality)]),766,theory(equality)]),1027,theory(equality)]),866,theory(equality)]),575,theory(equality)]) ).

cnf(9657,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9656,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),475,theory(equality)]) ).

cnf(9658,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[9657,theory(equality)]) ).

cnf(9664,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n5)),sum(pred(n5),n11)) != sum(n20,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[9217,9658,theory(equality)]) ).

cnf(9667,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n20,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9664,1054,theory(equality)]),767,theory(equality)]),1028,theory(equality)]),892,theory(equality)]),602,theory(equality)]) ).

cnf(9668,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9667,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),477,theory(equality)]) ).

cnf(9669,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9668,theory(equality)]) ).

cnf(9674,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n9,succ(n4)),sum(pred(n4),n11)) != sum(n20,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[9217,9669,theory(equality)]) ).

cnf(9677,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n2 != sum(n20,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9674,1055,theory(equality)]),768,theory(equality)]),1029,theory(equality)]),918,theory(equality)]),629,theory(equality)]) ).

cnf(9678,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9677,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),479,theory(equality)]) ).

cnf(9679,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[9678,theory(equality)]) ).

cnf(9683,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n9,succ(n3)),sum(pred(n3),n11)) != sum(n20,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[9217,9679,theory(equality)]) ).

cnf(9686,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n20,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9683,1056,theory(equality)]),769,theory(equality)]),1030,theory(equality)]),944,theory(equality)]),656,theory(equality)]) ).

cnf(9687,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9686,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),481,theory(equality)]) ).

cnf(9688,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9687,theory(equality)]) ).

cnf(9691,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | sum(sum(n9,succ(n2)),sum(pred(n2),n11)) != sum(n20,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[9217,9688,theory(equality)]) ).

cnf(9694,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | n24 != sum(n20,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9691,1057,theory(equality)]),770,theory(equality)]),1031,theory(equality)]),970,theory(equality)]),683,theory(equality)]) ).

cnf(9695,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9694,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),483,theory(equality)]) ).

cnf(9696,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9695,theory(equality)]) ).

cnf(9698,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | sum(sum(n9,succ(n1)),sum(pred(n1),n11)) != sum(n20,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[9217,9696,theory(equality)]) ).

cnf(9701,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | n22 != sum(n20,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9698,1058,theory(equality)]),771,theory(equality)]),1032,theory(equality)]),996,theory(equality)]),710,theory(equality)]) ).

cnf(9702,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9701,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),485,theory(equality)]) ).

cnf(9703,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9 ),
    inference(cn,[status(thm)],[9702,theory(equality)]) ).

cnf(9712,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n9),succ(esk2_0)),sum(pred(esk2_0),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,9703,theory(equality)]) ).

cnf(9713,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n9),n1),sum(n25,succ(n9))) != sum(sum(pred(n9),succ(n9)),n0) ),
    inference(spm,[status(thm)],[1115,9703,theory(equality)]) ).

cnf(9714,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n8,succ(esk2_0)),sum(pred(esk2_0),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[9712,1024,theory(equality)]),1050,theory(equality)]) ).

cnf(9715,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n8,succ(esk2_0)),sum(pred(esk2_0),n10)) != sum(n18,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9714,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]) ).

cnf(9716,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n18 != sum(sum(pred(n9),succ(n9)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9713,1024,theory(equality)]),798,theory(equality)]),1050,theory(equality)]),347,theory(equality)]),764,theory(equality)]) ).

cnf(9717,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9716,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),539,theory(equality)]) ).

cnf(9718,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[9717,theory(equality)]) ).

cnf(9748,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n25)),sum(pred(n25),n10)) != sum(n18,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[9715,9718,theory(equality)]) ).

cnf(9751,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n16 != sum(n18,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9748,1034,theory(equality)]),799,theory(equality)]),1008,theory(equality)]),373,theory(equality)]),791,theory(equality)]) ).

cnf(9752,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9751,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),515,theory(equality)]) ).

cnf(9753,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9752,theory(equality)]) ).

cnf(9778,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n8,succ(n24)),sum(pred(n24),n10)) != sum(n18,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[9715,9753,theory(equality)]) ).

cnf(9781,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n14 != sum(n18,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9778,1035,theory(equality)]),774,theory(equality)]),1009,theory(equality)]),399,theory(equality)]),818,theory(equality)]) ).

cnf(9782,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9781,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),517,theory(equality)]) ).

cnf(9783,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[9782,theory(equality)]) ).

cnf(9807,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n23)),sum(pred(n23),n10)) != sum(n18,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[9715,9783,theory(equality)]) ).

cnf(9810,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n12 != sum(n18,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9807,1036,theory(equality)]),775,theory(equality)]),1010,theory(equality)]),425,theory(equality)]),845,theory(equality)]) ).

cnf(9811,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9810,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),519,theory(equality)]) ).

cnf(9812,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9811,theory(equality)]) ).

cnf(9837,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n8,succ(n22)),sum(pred(n22),n10)) != sum(n18,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[9715,9812,theory(equality)]) ).

cnf(9840,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n10 != sum(n18,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9837,1037,theory(equality)]),776,theory(equality)]),1011,theory(equality)]),451,theory(equality)]),872,theory(equality)]) ).

cnf(9841,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9840,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),521,theory(equality)]) ).

cnf(9842,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[9841,theory(equality)]) ).

cnf(9864,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n21)),sum(pred(n21),n10)) != sum(n18,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[9715,9842,theory(equality)]) ).

cnf(9867,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = 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
    | n8 != sum(n18,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9864,1038,theory(equality)]),777,theory(equality)]),1012,theory(equality)]),477,theory(equality)]),899,theory(equality)]) ).

cnf(9868,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9867,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),523,theory(equality)]) ).

cnf(9869,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9868,theory(equality)]) ).

cnf(9890,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n8,succ(n20)),sum(pred(n20),n10)) != sum(n18,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[9715,9869,theory(equality)]) ).

cnf(9893,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n6 != sum(n18,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9890,1039,theory(equality)]),778,theory(equality)]),1013,theory(equality)]),503,theory(equality)]),926,theory(equality)]) ).

cnf(9894,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9893,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),525,theory(equality)]) ).

cnf(9895,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[9894,theory(equality)]) ).

cnf(9915,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n19)),sum(pred(n19),n10)) != sum(n18,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[9715,9895,theory(equality)]) ).

cnf(9918,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n18,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9915,1040,theory(equality)]),779,theory(equality)]),1014,theory(equality)]),529,theory(equality)]),953,theory(equality)]) ).

cnf(9919,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9918,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),527,theory(equality)]) ).

cnf(9920,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9919,theory(equality)]) ).

cnf(9939,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n8,succ(n18)),sum(pred(n18),n10)) != sum(n18,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[9715,9920,theory(equality)]) ).

cnf(9942,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n2 != sum(n18,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9939,1041,theory(equality)]),780,theory(equality)]),1015,theory(equality)]),555,theory(equality)]),980,theory(equality)]) ).

cnf(9943,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9942,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),529,theory(equality)]) ).

cnf(9944,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[9943,theory(equality)]) ).

cnf(9962,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n17)),sum(pred(n17),n10)) != sum(n18,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[9715,9944,theory(equality)]) ).

cnf(9965,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n18,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9962,1042,theory(equality)]),781,theory(equality)]),1016,theory(equality)]),581,theory(equality)]),1007,theory(equality)]) ).

cnf(9966,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9965,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),531,theory(equality)]) ).

cnf(9967,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[9966,theory(equality)]) ).

cnf(9984,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n8,succ(n16)),sum(pred(n16),n10)) != sum(n18,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[9715,9967,theory(equality)]) ).

cnf(9987,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n24 != sum(n18,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9984,1043,theory(equality)]),782,theory(equality)]),1017,theory(equality)]),607,theory(equality)]),332,theory(equality)]) ).

cnf(9988,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9987,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),533,theory(equality)]) ).

cnf(9989,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[9988,theory(equality)]) ).

cnf(10005,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n15)),sum(pred(n15),n10)) != sum(n18,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[9715,9989,theory(equality)]) ).

cnf(10008,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n22 != sum(n18,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10005,1044,theory(equality)]),783,theory(equality)]),1018,theory(equality)]),633,theory(equality)]),359,theory(equality)]) ).

cnf(10009,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10008,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),535,theory(equality)]) ).

cnf(10010,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10009,theory(equality)]) ).

cnf(10025,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n8,succ(n14)),sum(pred(n14),n10)) != sum(n18,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[9715,10010,theory(equality)]) ).

cnf(10028,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n20 != sum(n18,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10025,1045,theory(equality)]),784,theory(equality)]),1019,theory(equality)]),659,theory(equality)]),386,theory(equality)]) ).

cnf(10029,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10028,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),537,theory(equality)]) ).

cnf(10030,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[10029,theory(equality)]) ).

cnf(10044,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n13)),sum(pred(n13),n10)) != sum(n18,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[9715,10030,theory(equality)]) ).

cnf(10047,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n18,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10044,1046,theory(equality)]),785,theory(equality)]),1020,theory(equality)]),685,theory(equality)]),413,theory(equality)]) ).

cnf(10048,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10047,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),539,theory(equality)]) ).

cnf(10049,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10048,theory(equality)]) ).

cnf(10062,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n8,succ(n12)),sum(pred(n12),n10)) != sum(n18,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[9715,10049,theory(equality)]) ).

cnf(10065,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n16 != sum(n18,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10062,1047,theory(equality)]),786,theory(equality)]),1021,theory(equality)]),711,theory(equality)]),440,theory(equality)]) ).

cnf(10066,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10065,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),515,theory(equality)]) ).

cnf(10067,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[10066,theory(equality)]) ).

cnf(10079,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n11)),sum(pred(n11),n10)) != sum(n18,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[9715,10067,theory(equality)]) ).

cnf(10082,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n18,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10079,1048,theory(equality)]),787,theory(equality)]),1022,theory(equality)]),737,theory(equality)]),467,theory(equality)]) ).

cnf(10083,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10082,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),517,theory(equality)]) ).

cnf(10084,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10083,theory(equality)]) ).

cnf(10095,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n8,succ(n10)),sum(pred(n10),n10)) != sum(n18,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[9715,10084,theory(equality)]) ).

cnf(10098,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n12 != sum(n18,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10095,1049,theory(equality)]),788,theory(equality)]),1023,theory(equality)]),763,theory(equality)]),494,theory(equality)]) ).

cnf(10099,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10098,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),519,theory(equality)]) ).

cnf(10100,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[10099,theory(equality)]) ).

cnf(10110,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n9)),sum(pred(n9),n10)) != sum(n18,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[9715,10100,theory(equality)]) ).

cnf(10113,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n18,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10110,1050,theory(equality)]),789,theory(equality)]),1024,theory(equality)]),789,theory(equality)]),521,theory(equality)]) ).

cnf(10114,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10113,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),521,theory(equality)]) ).

cnf(10115,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10114,theory(equality)]) ).

cnf(10124,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n8,succ(n8)),sum(pred(n8),n10)) != sum(n18,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[9715,10115,theory(equality)]) ).

cnf(10127,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n8 != sum(n18,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10124,1051,theory(equality)]),790,theory(equality)]),1025,theory(equality)]),815,theory(equality)]),548,theory(equality)]) ).

cnf(10128,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10127,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),523,theory(equality)]) ).

cnf(10129,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[10128,theory(equality)]) ).

cnf(10137,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n7)),sum(pred(n7),n10)) != sum(n18,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[9715,10129,theory(equality)]) ).

cnf(10140,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n18,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10137,1052,theory(equality)]),791,theory(equality)]),1026,theory(equality)]),841,theory(equality)]),575,theory(equality)]) ).

cnf(10141,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10140,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),525,theory(equality)]) ).

cnf(10142,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10141,theory(equality)]) ).

cnf(10149,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n8,succ(n6)),sum(pred(n6),n10)) != sum(n18,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[9715,10142,theory(equality)]) ).

cnf(10152,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n4 != sum(n18,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10149,1053,theory(equality)]),792,theory(equality)]),1027,theory(equality)]),867,theory(equality)]),602,theory(equality)]) ).

cnf(10153,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10152,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),527,theory(equality)]) ).

cnf(10154,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[10153,theory(equality)]) ).

cnf(10160,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n5)),sum(pred(n5),n10)) != sum(n18,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[9715,10154,theory(equality)]) ).

cnf(10163,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n18,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10160,1054,theory(equality)]),793,theory(equality)]),1028,theory(equality)]),893,theory(equality)]),629,theory(equality)]) ).

cnf(10164,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10163,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),529,theory(equality)]) ).

cnf(10165,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10164,theory(equality)]) ).

cnf(10170,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n8,succ(n4)),sum(pred(n4),n10)) != sum(n18,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[9715,10165,theory(equality)]) ).

cnf(10173,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n0 != sum(n18,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10170,1055,theory(equality)]),794,theory(equality)]),1029,theory(equality)]),919,theory(equality)]),656,theory(equality)]) ).

cnf(10174,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10173,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),531,theory(equality)]) ).

cnf(10175,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[10174,theory(equality)]) ).

cnf(10179,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n8,succ(n3)),sum(pred(n3),n10)) != sum(n18,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[9715,10175,theory(equality)]) ).

cnf(10182,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n2
    | esk2_0 = n1
    | n24 != sum(n18,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10179,1056,theory(equality)]),795,theory(equality)]),1030,theory(equality)]),945,theory(equality)]),683,theory(equality)]) ).

cnf(10183,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10182,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),533,theory(equality)]) ).

cnf(10184,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10183,theory(equality)]) ).

cnf(10187,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | sum(sum(n8,succ(n2)),sum(pred(n2),n10)) != sum(n18,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[9715,10184,theory(equality)]) ).

cnf(10190,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | n22 != sum(n18,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10187,1057,theory(equality)]),796,theory(equality)]),1031,theory(equality)]),971,theory(equality)]),710,theory(equality)]) ).

cnf(10191,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10190,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),535,theory(equality)]) ).

cnf(10192,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10191,theory(equality)]) ).

cnf(10194,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | sum(sum(n8,succ(n1)),sum(pred(n1),n10)) != sum(n18,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[9715,10192,theory(equality)]) ).

cnf(10197,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | n20 != sum(n18,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10194,1058,theory(equality)]),797,theory(equality)]),1032,theory(equality)]),997,theory(equality)]),737,theory(equality)]) ).

cnf(10198,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10197,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),537,theory(equality)]) ).

cnf(10199,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8 ),
    inference(cn,[status(thm)],[10198,theory(equality)]) ).

cnf(10207,plain,
    ( esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n8),succ(esk2_0)),sum(pred(esk2_0),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,10199,theory(equality)]) ).

cnf(10208,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n8),n1),sum(n25,succ(n8))) != sum(sum(pred(n8),succ(n8)),n0) ),
    inference(spm,[status(thm)],[1115,10199,theory(equality)]) ).

cnf(10209,plain,
    ( esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n7,succ(esk2_0)),sum(pred(esk2_0),n9)) != sum(sum(pred(n8),succ(n8)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[10207,1025,theory(equality)]),1051,theory(equality)]) ).

cnf(10210,plain,
    ( esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n7,succ(esk2_0)),sum(pred(esk2_0),n9)) != sum(n16,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10209,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]) ).

cnf(10211,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n16 != sum(sum(pred(n8),succ(n8)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10208,1025,theory(equality)]),824,theory(equality)]),1051,theory(equality)]),348,theory(equality)]),791,theory(equality)]) ).

cnf(10212,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10211,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),591,theory(equality)]) ).

cnf(10213,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[10212,theory(equality)]) ).

cnf(10243,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n25)),sum(pred(n25),n9)) != sum(n16,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[10210,10213,theory(equality)]) ).

cnf(10246,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n14 != sum(n16,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10243,1034,theory(equality)]),825,theory(equality)]),1008,theory(equality)]),374,theory(equality)]),818,theory(equality)]) ).

cnf(10247,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10246,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),567,theory(equality)]) ).

cnf(10248,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10247,theory(equality)]) ).

cnf(10273,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n7,succ(n24)),sum(pred(n24),n9)) != sum(n16,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[10210,10248,theory(equality)]) ).

cnf(10276,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n12 != sum(n16,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10273,1035,theory(equality)]),800,theory(equality)]),1009,theory(equality)]),400,theory(equality)]),845,theory(equality)]) ).

cnf(10277,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10276,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),569,theory(equality)]) ).

cnf(10278,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[10277,theory(equality)]) ).

cnf(10303,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n23)),sum(pred(n23),n9)) != sum(n16,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[10210,10278,theory(equality)]) ).

cnf(10306,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n10 != sum(n16,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10303,1036,theory(equality)]),801,theory(equality)]),1010,theory(equality)]),426,theory(equality)]),872,theory(equality)]) ).

cnf(10307,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10306,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),571,theory(equality)]) ).

cnf(10308,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10307,theory(equality)]) ).

cnf(10331,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n7,succ(n22)),sum(pred(n22),n9)) != sum(n16,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[10210,10308,theory(equality)]) ).

cnf(10334,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n8 != sum(n16,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10331,1037,theory(equality)]),802,theory(equality)]),1011,theory(equality)]),452,theory(equality)]),899,theory(equality)]) ).

cnf(10335,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10334,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),573,theory(equality)]) ).

cnf(10336,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[10335,theory(equality)]) ).

cnf(10358,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n21)),sum(pred(n21),n9)) != sum(n16,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[10210,10336,theory(equality)]) ).

cnf(10361,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | 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
    | n6 != sum(n16,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10358,1038,theory(equality)]),803,theory(equality)]),1012,theory(equality)]),478,theory(equality)]),926,theory(equality)]) ).

cnf(10362,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10361,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),575,theory(equality)]) ).

cnf(10363,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10362,theory(equality)]) ).

cnf(10384,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n7,succ(n20)),sum(pred(n20),n9)) != sum(n16,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[10210,10363,theory(equality)]) ).

cnf(10387,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n4 != sum(n16,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10384,1039,theory(equality)]),804,theory(equality)]),1013,theory(equality)]),504,theory(equality)]),953,theory(equality)]) ).

cnf(10388,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10387,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),577,theory(equality)]) ).

cnf(10389,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[10388,theory(equality)]) ).

cnf(10409,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n19)),sum(pred(n19),n9)) != sum(n16,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[10210,10389,theory(equality)]) ).

cnf(10412,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n16,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10409,1040,theory(equality)]),805,theory(equality)]),1014,theory(equality)]),530,theory(equality)]),980,theory(equality)]) ).

cnf(10413,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10412,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),579,theory(equality)]) ).

cnf(10414,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10413,theory(equality)]) ).

cnf(10433,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n7,succ(n18)),sum(pred(n18),n9)) != sum(n16,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[10210,10414,theory(equality)]) ).

cnf(10436,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n0 != sum(n16,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10433,1041,theory(equality)]),806,theory(equality)]),1015,theory(equality)]),556,theory(equality)]),1007,theory(equality)]) ).

cnf(10437,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10436,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),581,theory(equality)]) ).

cnf(10438,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[10437,theory(equality)]) ).

cnf(10456,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n17)),sum(pred(n17),n9)) != sum(n16,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[10210,10438,theory(equality)]) ).

cnf(10459,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | 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
    | n24 != sum(n16,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10456,1042,theory(equality)]),807,theory(equality)]),1016,theory(equality)]),582,theory(equality)]),332,theory(equality)]) ).

cnf(10460,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10459,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),583,theory(equality)]) ).

cnf(10461,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10460,theory(equality)]) ).

cnf(10478,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n7,succ(n16)),sum(pred(n16),n9)) != sum(n16,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[10210,10461,theory(equality)]) ).

cnf(10481,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n22 != sum(n16,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10478,1043,theory(equality)]),808,theory(equality)]),1017,theory(equality)]),608,theory(equality)]),359,theory(equality)]) ).

cnf(10482,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10481,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),585,theory(equality)]) ).

cnf(10483,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[10482,theory(equality)]) ).

cnf(10499,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n15)),sum(pred(n15),n9)) != sum(n16,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[10210,10483,theory(equality)]) ).

cnf(10502,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n16,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10499,1044,theory(equality)]),809,theory(equality)]),1018,theory(equality)]),634,theory(equality)]),386,theory(equality)]) ).

cnf(10503,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10502,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),587,theory(equality)]) ).

cnf(10504,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10503,theory(equality)]) ).

cnf(10519,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n7,succ(n14)),sum(pred(n14),n9)) != sum(n16,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[10210,10504,theory(equality)]) ).

cnf(10522,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n18 != sum(n16,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10519,1045,theory(equality)]),810,theory(equality)]),1019,theory(equality)]),660,theory(equality)]),413,theory(equality)]) ).

cnf(10523,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10522,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),589,theory(equality)]) ).

cnf(10524,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[10523,theory(equality)]) ).

cnf(10538,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n13)),sum(pred(n13),n9)) != sum(n16,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[10210,10524,theory(equality)]) ).

cnf(10541,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n16,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10538,1046,theory(equality)]),811,theory(equality)]),1020,theory(equality)]),686,theory(equality)]),440,theory(equality)]) ).

cnf(10542,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10541,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),591,theory(equality)]) ).

cnf(10543,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10542,theory(equality)]) ).

cnf(10556,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n7,succ(n12)),sum(pred(n12),n9)) != sum(n16,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[10210,10543,theory(equality)]) ).

cnf(10559,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n14 != sum(n16,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10556,1047,theory(equality)]),812,theory(equality)]),1021,theory(equality)]),712,theory(equality)]),467,theory(equality)]) ).

cnf(10560,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10559,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),567,theory(equality)]) ).

cnf(10561,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[10560,theory(equality)]) ).

cnf(10573,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n11)),sum(pred(n11),n9)) != sum(n16,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[10210,10561,theory(equality)]) ).

cnf(10576,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n16,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10573,1048,theory(equality)]),813,theory(equality)]),1022,theory(equality)]),738,theory(equality)]),494,theory(equality)]) ).

cnf(10577,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10576,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),569,theory(equality)]) ).

cnf(10578,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10577,theory(equality)]) ).

cnf(10589,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n7,succ(n10)),sum(pred(n10),n9)) != sum(n16,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[10210,10578,theory(equality)]) ).

cnf(10592,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n10 != sum(n16,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10589,1049,theory(equality)]),814,theory(equality)]),1023,theory(equality)]),764,theory(equality)]),521,theory(equality)]) ).

cnf(10593,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10592,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),571,theory(equality)]) ).

cnf(10594,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[10593,theory(equality)]) ).

cnf(10604,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n9)),sum(pred(n9),n9)) != sum(n16,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[10210,10594,theory(equality)]) ).

cnf(10607,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n16,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10604,1050,theory(equality)]),815,theory(equality)]),1024,theory(equality)]),790,theory(equality)]),548,theory(equality)]) ).

cnf(10608,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10607,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),573,theory(equality)]) ).

cnf(10609,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10608,theory(equality)]) ).

cnf(10618,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n7,succ(n8)),sum(pred(n8),n9)) != sum(n16,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[10210,10609,theory(equality)]) ).

cnf(10621,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n6 != sum(n16,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10618,1051,theory(equality)]),816,theory(equality)]),1025,theory(equality)]),816,theory(equality)]),575,theory(equality)]) ).

cnf(10622,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10621,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),575,theory(equality)]) ).

cnf(10623,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[10622,theory(equality)]) ).

cnf(10631,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n7)),sum(pred(n7),n9)) != sum(n16,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[10210,10623,theory(equality)]) ).

cnf(10634,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n16,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10631,1052,theory(equality)]),817,theory(equality)]),1026,theory(equality)]),842,theory(equality)]),602,theory(equality)]) ).

cnf(10635,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10634,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),577,theory(equality)]) ).

cnf(10636,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10635,theory(equality)]) ).

cnf(10643,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n7,succ(n6)),sum(pred(n6),n9)) != sum(n16,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[10210,10636,theory(equality)]) ).

cnf(10646,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n2 != sum(n16,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10643,1053,theory(equality)]),818,theory(equality)]),1027,theory(equality)]),868,theory(equality)]),629,theory(equality)]) ).

cnf(10647,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10646,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),579,theory(equality)]) ).

cnf(10648,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[10647,theory(equality)]) ).

cnf(10654,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n5)),sum(pred(n5),n9)) != sum(n16,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[10210,10648,theory(equality)]) ).

cnf(10657,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n16,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10654,1054,theory(equality)]),819,theory(equality)]),1028,theory(equality)]),894,theory(equality)]),656,theory(equality)]) ).

cnf(10658,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10657,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),581,theory(equality)]) ).

cnf(10659,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10658,theory(equality)]) ).

cnf(10664,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n7,succ(n4)),sum(pred(n4),n9)) != sum(n16,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[10210,10659,theory(equality)]) ).

cnf(10667,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n24 != sum(n16,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10664,1055,theory(equality)]),820,theory(equality)]),1029,theory(equality)]),920,theory(equality)]),683,theory(equality)]) ).

cnf(10668,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10667,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),583,theory(equality)]) ).

cnf(10669,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[10668,theory(equality)]) ).

cnf(10673,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n7,succ(n3)),sum(pred(n3),n9)) != sum(n16,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[10210,10669,theory(equality)]) ).

cnf(10676,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n2
    | esk2_0 = n1
    | n22 != sum(n16,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10673,1056,theory(equality)]),821,theory(equality)]),1030,theory(equality)]),946,theory(equality)]),710,theory(equality)]) ).

cnf(10677,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10676,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),585,theory(equality)]) ).

cnf(10678,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10677,theory(equality)]) ).

cnf(10681,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | sum(sum(n7,succ(n2)),sum(pred(n2),n9)) != sum(n16,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[10210,10678,theory(equality)]) ).

cnf(10684,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | n20 != sum(n16,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10681,1057,theory(equality)]),822,theory(equality)]),1031,theory(equality)]),972,theory(equality)]),737,theory(equality)]) ).

cnf(10685,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10684,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),587,theory(equality)]) ).

cnf(10686,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10685,theory(equality)]) ).

cnf(10688,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | sum(sum(n7,succ(n1)),sum(pred(n1),n9)) != sum(n16,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[10210,10686,theory(equality)]) ).

cnf(10691,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | n18 != sum(n16,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10688,1058,theory(equality)]),823,theory(equality)]),1032,theory(equality)]),998,theory(equality)]),764,theory(equality)]) ).

cnf(10692,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10691,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),589,theory(equality)]) ).

cnf(10693,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7 ),
    inference(cn,[status(thm)],[10692,theory(equality)]) ).

cnf(10700,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n7),succ(esk2_0)),sum(pred(esk2_0),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,10693,theory(equality)]) ).

cnf(10701,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n7),n1),sum(n25,succ(n7))) != sum(sum(pred(n7),succ(n7)),n0) ),
    inference(spm,[status(thm)],[1115,10693,theory(equality)]) ).

cnf(10702,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n6,succ(esk2_0)),sum(pred(esk2_0),n8)) != sum(sum(pred(n7),succ(n7)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[10700,1026,theory(equality)]),1052,theory(equality)]) ).

cnf(10703,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n6,succ(esk2_0)),sum(pred(esk2_0),n8)) != sum(n14,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10702,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]) ).

cnf(10704,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n14 != sum(sum(pred(n7),succ(n7)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10701,1026,theory(equality)]),850,theory(equality)]),1052,theory(equality)]),349,theory(equality)]),818,theory(equality)]) ).

cnf(10705,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10704,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),643,theory(equality)]) ).

cnf(10706,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[10705,theory(equality)]) ).

cnf(10736,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n25)),sum(pred(n25),n8)) != sum(n14,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[10703,10706,theory(equality)]) ).

cnf(10739,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n12 != sum(n14,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10736,1034,theory(equality)]),851,theory(equality)]),1008,theory(equality)]),375,theory(equality)]),845,theory(equality)]) ).

cnf(10740,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10739,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),619,theory(equality)]) ).

cnf(10741,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10740,theory(equality)]) ).

cnf(10766,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n6,succ(n24)),sum(pred(n24),n8)) != sum(n14,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[10703,10741,theory(equality)]) ).

cnf(10769,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n10 != sum(n14,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10766,1035,theory(equality)]),826,theory(equality)]),1009,theory(equality)]),401,theory(equality)]),872,theory(equality)]) ).

cnf(10770,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10769,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),621,theory(equality)]) ).

cnf(10771,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[10770,theory(equality)]) ).

cnf(10796,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n23)),sum(pred(n23),n8)) != sum(n14,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[10703,10771,theory(equality)]) ).

cnf(10799,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n8 != sum(n14,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10796,1036,theory(equality)]),827,theory(equality)]),1010,theory(equality)]),427,theory(equality)]),899,theory(equality)]) ).

cnf(10800,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10799,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),623,theory(equality)]) ).

cnf(10801,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10800,theory(equality)]) ).

cnf(10824,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n6,succ(n22)),sum(pred(n22),n8)) != sum(n14,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[10703,10801,theory(equality)]) ).

cnf(10827,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n6 != sum(n14,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10824,1037,theory(equality)]),828,theory(equality)]),1011,theory(equality)]),453,theory(equality)]),926,theory(equality)]) ).

cnf(10828,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10827,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),625,theory(equality)]) ).

cnf(10829,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[10828,theory(equality)]) ).

cnf(10851,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n21)),sum(pred(n21),n8)) != sum(n14,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[10703,10829,theory(equality)]) ).

cnf(10854,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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
    | n4 != sum(n14,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10851,1038,theory(equality)]),829,theory(equality)]),1012,theory(equality)]),479,theory(equality)]),953,theory(equality)]) ).

cnf(10855,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10854,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),627,theory(equality)]) ).

cnf(10856,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10855,theory(equality)]) ).

cnf(10877,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n6,succ(n20)),sum(pred(n20),n8)) != sum(n14,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[10703,10856,theory(equality)]) ).

cnf(10880,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n2 != sum(n14,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10877,1039,theory(equality)]),830,theory(equality)]),1013,theory(equality)]),505,theory(equality)]),980,theory(equality)]) ).

cnf(10881,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10880,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),629,theory(equality)]) ).

cnf(10882,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[10881,theory(equality)]) ).

cnf(10902,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n19)),sum(pred(n19),n8)) != sum(n14,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[10703,10882,theory(equality)]) ).

cnf(10905,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n14,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10902,1040,theory(equality)]),831,theory(equality)]),1014,theory(equality)]),531,theory(equality)]),1007,theory(equality)]) ).

cnf(10906,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10905,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),631,theory(equality)]) ).

cnf(10907,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10906,theory(equality)]) ).

cnf(10926,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n6,succ(n18)),sum(pred(n18),n8)) != sum(n14,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[10703,10907,theory(equality)]) ).

cnf(10929,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n24 != sum(n14,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10926,1041,theory(equality)]),832,theory(equality)]),1015,theory(equality)]),557,theory(equality)]),332,theory(equality)]) ).

cnf(10930,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10929,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),633,theory(equality)]) ).

cnf(10931,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[10930,theory(equality)]) ).

cnf(10949,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n17)),sum(pred(n17),n8)) != sum(n14,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[10703,10931,theory(equality)]) ).

cnf(10952,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | 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
    | n22 != sum(n14,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10949,1042,theory(equality)]),833,theory(equality)]),1016,theory(equality)]),583,theory(equality)]),359,theory(equality)]) ).

cnf(10953,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10952,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),635,theory(equality)]) ).

cnf(10954,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10953,theory(equality)]) ).

cnf(10971,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n6,succ(n16)),sum(pred(n16),n8)) != sum(n14,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[10703,10954,theory(equality)]) ).

cnf(10974,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n20 != sum(n14,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10971,1043,theory(equality)]),834,theory(equality)]),1017,theory(equality)]),609,theory(equality)]),386,theory(equality)]) ).

cnf(10975,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10974,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),637,theory(equality)]) ).

cnf(10976,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[10975,theory(equality)]) ).

cnf(10992,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n15)),sum(pred(n15),n8)) != sum(n14,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[10703,10976,theory(equality)]) ).

cnf(10995,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n14,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10992,1044,theory(equality)]),835,theory(equality)]),1018,theory(equality)]),635,theory(equality)]),413,theory(equality)]) ).

cnf(10996,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10995,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),639,theory(equality)]) ).

cnf(10997,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[10996,theory(equality)]) ).

cnf(11012,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n6,succ(n14)),sum(pred(n14),n8)) != sum(n14,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[10703,10997,theory(equality)]) ).

cnf(11015,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n16 != sum(n14,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11012,1045,theory(equality)]),836,theory(equality)]),1019,theory(equality)]),661,theory(equality)]),440,theory(equality)]) ).

cnf(11016,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11015,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),641,theory(equality)]) ).

cnf(11017,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[11016,theory(equality)]) ).

cnf(11031,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n13)),sum(pred(n13),n8)) != sum(n14,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[10703,11017,theory(equality)]) ).

cnf(11034,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n14,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11031,1046,theory(equality)]),837,theory(equality)]),1020,theory(equality)]),687,theory(equality)]),467,theory(equality)]) ).

cnf(11035,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11034,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),643,theory(equality)]) ).

cnf(11036,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11035,theory(equality)]) ).

cnf(11049,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n6,succ(n12)),sum(pred(n12),n8)) != sum(n14,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[10703,11036,theory(equality)]) ).

cnf(11052,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n12 != sum(n14,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11049,1047,theory(equality)]),838,theory(equality)]),1021,theory(equality)]),713,theory(equality)]),494,theory(equality)]) ).

cnf(11053,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11052,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),619,theory(equality)]) ).

cnf(11054,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[11053,theory(equality)]) ).

cnf(11066,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n11)),sum(pred(n11),n8)) != sum(n14,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[10703,11054,theory(equality)]) ).

cnf(11069,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n14,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11066,1048,theory(equality)]),839,theory(equality)]),1022,theory(equality)]),739,theory(equality)]),521,theory(equality)]) ).

cnf(11070,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11069,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),621,theory(equality)]) ).

cnf(11071,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11070,theory(equality)]) ).

cnf(11082,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n6,succ(n10)),sum(pred(n10),n8)) != sum(n14,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[10703,11071,theory(equality)]) ).

cnf(11085,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n8 != sum(n14,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11082,1049,theory(equality)]),840,theory(equality)]),1023,theory(equality)]),765,theory(equality)]),548,theory(equality)]) ).

cnf(11086,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11085,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),623,theory(equality)]) ).

cnf(11087,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[11086,theory(equality)]) ).

cnf(11097,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n9)),sum(pred(n9),n8)) != sum(n14,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[10703,11087,theory(equality)]) ).

cnf(11100,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n14,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11097,1050,theory(equality)]),841,theory(equality)]),1024,theory(equality)]),791,theory(equality)]),575,theory(equality)]) ).

cnf(11101,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11100,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),625,theory(equality)]) ).

cnf(11102,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11101,theory(equality)]) ).

cnf(11111,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n6,succ(n8)),sum(pred(n8),n8)) != sum(n14,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[10703,11102,theory(equality)]) ).

cnf(11114,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n4 != sum(n14,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11111,1051,theory(equality)]),842,theory(equality)]),1025,theory(equality)]),817,theory(equality)]),602,theory(equality)]) ).

cnf(11115,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11114,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),627,theory(equality)]) ).

cnf(11116,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[11115,theory(equality)]) ).

cnf(11124,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n7)),sum(pred(n7),n8)) != sum(n14,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[10703,11116,theory(equality)]) ).

cnf(11127,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n14,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11124,1052,theory(equality)]),843,theory(equality)]),1026,theory(equality)]),843,theory(equality)]),629,theory(equality)]) ).

cnf(11128,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11127,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),629,theory(equality)]) ).

cnf(11129,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11128,theory(equality)]) ).

cnf(11136,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n6,succ(n6)),sum(pred(n6),n8)) != sum(n14,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[10703,11129,theory(equality)]) ).

cnf(11139,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n0 != sum(n14,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11136,1053,theory(equality)]),844,theory(equality)]),1027,theory(equality)]),869,theory(equality)]),656,theory(equality)]) ).

cnf(11140,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11139,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),631,theory(equality)]) ).

cnf(11141,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[11140,theory(equality)]) ).

cnf(11147,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n5)),sum(pred(n5),n8)) != sum(n14,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[10703,11141,theory(equality)]) ).

cnf(11150,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n24 != sum(n14,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11147,1054,theory(equality)]),845,theory(equality)]),1028,theory(equality)]),895,theory(equality)]),683,theory(equality)]) ).

cnf(11151,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11150,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),633,theory(equality)]) ).

cnf(11152,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11151,theory(equality)]) ).

cnf(11157,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n6,succ(n4)),sum(pred(n4),n8)) != sum(n14,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[10703,11152,theory(equality)]) ).

cnf(11160,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n22 != sum(n14,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11157,1055,theory(equality)]),846,theory(equality)]),1029,theory(equality)]),921,theory(equality)]),710,theory(equality)]) ).

cnf(11161,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11160,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),635,theory(equality)]) ).

cnf(11162,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[11161,theory(equality)]) ).

cnf(11166,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n6,succ(n3)),sum(pred(n3),n8)) != sum(n14,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[10703,11162,theory(equality)]) ).

cnf(11169,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n14,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11166,1056,theory(equality)]),847,theory(equality)]),1030,theory(equality)]),947,theory(equality)]),737,theory(equality)]) ).

cnf(11170,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11169,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),637,theory(equality)]) ).

cnf(11171,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11170,theory(equality)]) ).

cnf(11174,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | sum(sum(n6,succ(n2)),sum(pred(n2),n8)) != sum(n14,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[10703,11171,theory(equality)]) ).

cnf(11177,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | n18 != sum(n14,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11174,1057,theory(equality)]),848,theory(equality)]),1031,theory(equality)]),973,theory(equality)]),764,theory(equality)]) ).

cnf(11178,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11177,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),639,theory(equality)]) ).

cnf(11179,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11178,theory(equality)]) ).

cnf(11181,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | sum(sum(n6,succ(n1)),sum(pred(n1),n8)) != sum(n14,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[10703,11179,theory(equality)]) ).

cnf(11184,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | n16 != sum(n14,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11181,1058,theory(equality)]),849,theory(equality)]),1032,theory(equality)]),999,theory(equality)]),791,theory(equality)]) ).

cnf(11185,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11184,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),641,theory(equality)]) ).

cnf(11186,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(cn,[status(thm)],[11185,theory(equality)]) ).

cnf(11192,plain,
    ( esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n6),succ(esk2_0)),sum(pred(esk2_0),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,11186,theory(equality)]) ).

cnf(11193,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n6),n1),sum(n25,succ(n6))) != sum(sum(pred(n6),succ(n6)),n0) ),
    inference(spm,[status(thm)],[1115,11186,theory(equality)]) ).

cnf(11194,plain,
    ( esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n5,succ(esk2_0)),sum(pred(esk2_0),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[11192,1027,theory(equality)]),1053,theory(equality)]) ).

cnf(11195,plain,
    ( esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n5,succ(esk2_0)),sum(pred(esk2_0),n7)) != sum(n12,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11194,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]) ).

cnf(11196,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n12 != sum(sum(pred(n6),succ(n6)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11193,1027,theory(equality)]),876,theory(equality)]),1053,theory(equality)]),350,theory(equality)]),845,theory(equality)]) ).

cnf(11197,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11196,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),695,theory(equality)]) ).

cnf(11198,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[11197,theory(equality)]) ).

cnf(11228,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n25)),sum(pred(n25),n7)) != sum(n12,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[11195,11198,theory(equality)]) ).

cnf(11231,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n10 != sum(n12,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11228,1034,theory(equality)]),877,theory(equality)]),1008,theory(equality)]),376,theory(equality)]),872,theory(equality)]) ).

cnf(11232,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11231,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),671,theory(equality)]) ).

cnf(11233,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11232,theory(equality)]) ).

cnf(11258,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n5,succ(n24)),sum(pred(n24),n7)) != sum(n12,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[11195,11233,theory(equality)]) ).

cnf(11261,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n8 != sum(n12,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11258,1035,theory(equality)]),852,theory(equality)]),1009,theory(equality)]),402,theory(equality)]),899,theory(equality)]) ).

cnf(11262,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11261,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),673,theory(equality)]) ).

cnf(11263,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[11262,theory(equality)]) ).

cnf(11287,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n23)),sum(pred(n23),n7)) != sum(n12,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[11195,11263,theory(equality)]) ).

cnf(11290,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n6 != sum(n12,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11287,1036,theory(equality)]),853,theory(equality)]),1010,theory(equality)]),428,theory(equality)]),926,theory(equality)]) ).

cnf(11291,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11290,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),675,theory(equality)]) ).

cnf(11292,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11291,theory(equality)]) ).

cnf(11317,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n5,succ(n22)),sum(pred(n22),n7)) != sum(n12,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[11195,11292,theory(equality)]) ).

cnf(11320,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n4 != sum(n12,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11317,1037,theory(equality)]),854,theory(equality)]),1011,theory(equality)]),454,theory(equality)]),953,theory(equality)]) ).

cnf(11321,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11320,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),677,theory(equality)]) ).

cnf(11322,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[11321,theory(equality)]) ).

cnf(11344,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n21)),sum(pred(n21),n7)) != sum(n12,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[11195,11322,theory(equality)]) ).

cnf(11347,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | 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
    | n2 != sum(n12,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11344,1038,theory(equality)]),855,theory(equality)]),1012,theory(equality)]),480,theory(equality)]),980,theory(equality)]) ).

cnf(11348,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11347,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),679,theory(equality)]) ).

cnf(11349,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11348,theory(equality)]) ).

cnf(11370,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n5,succ(n20)),sum(pred(n20),n7)) != sum(n12,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[11195,11349,theory(equality)]) ).

cnf(11373,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n0 != sum(n12,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11370,1039,theory(equality)]),856,theory(equality)]),1013,theory(equality)]),506,theory(equality)]),1007,theory(equality)]) ).

cnf(11374,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11373,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),681,theory(equality)]) ).

cnf(11375,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[11374,theory(equality)]) ).

cnf(11395,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n19)),sum(pred(n19),n7)) != sum(n12,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[11195,11375,theory(equality)]) ).

cnf(11398,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | 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
    | n24 != sum(n12,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11395,1040,theory(equality)]),857,theory(equality)]),1014,theory(equality)]),532,theory(equality)]),332,theory(equality)]) ).

cnf(11399,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11398,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),683,theory(equality)]) ).

cnf(11400,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11399,theory(equality)]) ).

cnf(11419,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n5,succ(n18)),sum(pred(n18),n7)) != sum(n12,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[11195,11400,theory(equality)]) ).

cnf(11422,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n22 != sum(n12,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11419,1041,theory(equality)]),858,theory(equality)]),1015,theory(equality)]),558,theory(equality)]),359,theory(equality)]) ).

cnf(11423,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11422,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),685,theory(equality)]) ).

cnf(11424,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[11423,theory(equality)]) ).

cnf(11442,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n17)),sum(pred(n17),n7)) != sum(n12,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[11195,11424,theory(equality)]) ).

cnf(11445,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n12,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11442,1042,theory(equality)]),859,theory(equality)]),1016,theory(equality)]),584,theory(equality)]),386,theory(equality)]) ).

cnf(11446,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11445,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),687,theory(equality)]) ).

cnf(11447,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11446,theory(equality)]) ).

cnf(11464,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n5,succ(n16)),sum(pred(n16),n7)) != sum(n12,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[11195,11447,theory(equality)]) ).

cnf(11467,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n18 != sum(n12,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11464,1043,theory(equality)]),860,theory(equality)]),1017,theory(equality)]),610,theory(equality)]),413,theory(equality)]) ).

cnf(11468,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11467,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),689,theory(equality)]) ).

cnf(11469,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[11468,theory(equality)]) ).

cnf(11485,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n15)),sum(pred(n15),n7)) != sum(n12,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[11195,11469,theory(equality)]) ).

cnf(11488,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n12,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11485,1044,theory(equality)]),861,theory(equality)]),1018,theory(equality)]),636,theory(equality)]),440,theory(equality)]) ).

cnf(11489,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11488,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),691,theory(equality)]) ).

cnf(11490,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11489,theory(equality)]) ).

cnf(11505,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n5,succ(n14)),sum(pred(n14),n7)) != sum(n12,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[11195,11490,theory(equality)]) ).

cnf(11508,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n14 != sum(n12,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11505,1045,theory(equality)]),862,theory(equality)]),1019,theory(equality)]),662,theory(equality)]),467,theory(equality)]) ).

cnf(11509,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11508,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),693,theory(equality)]) ).

cnf(11510,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[11509,theory(equality)]) ).

cnf(11524,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n13)),sum(pred(n13),n7)) != sum(n12,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[11195,11510,theory(equality)]) ).

cnf(11527,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n12,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11524,1046,theory(equality)]),863,theory(equality)]),1020,theory(equality)]),688,theory(equality)]),494,theory(equality)]) ).

cnf(11528,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11527,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),695,theory(equality)]) ).

cnf(11529,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11528,theory(equality)]) ).

cnf(11542,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n5,succ(n12)),sum(pred(n12),n7)) != sum(n12,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[11195,11529,theory(equality)]) ).

cnf(11545,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n10 != sum(n12,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11542,1047,theory(equality)]),864,theory(equality)]),1021,theory(equality)]),714,theory(equality)]),521,theory(equality)]) ).

cnf(11546,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11545,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),671,theory(equality)]) ).

cnf(11547,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[11546,theory(equality)]) ).

cnf(11559,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n11)),sum(pred(n11),n7)) != sum(n12,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[11195,11547,theory(equality)]) ).

cnf(11562,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n12,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11559,1048,theory(equality)]),865,theory(equality)]),1022,theory(equality)]),740,theory(equality)]),548,theory(equality)]) ).

cnf(11563,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11562,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),673,theory(equality)]) ).

cnf(11564,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11563,theory(equality)]) ).

cnf(11575,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n5,succ(n10)),sum(pred(n10),n7)) != sum(n12,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[11195,11564,theory(equality)]) ).

cnf(11578,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n6 != sum(n12,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11575,1049,theory(equality)]),866,theory(equality)]),1023,theory(equality)]),766,theory(equality)]),575,theory(equality)]) ).

cnf(11579,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11578,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),675,theory(equality)]) ).

cnf(11580,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[11579,theory(equality)]) ).

cnf(11590,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n9)),sum(pred(n9),n7)) != sum(n12,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[11195,11580,theory(equality)]) ).

cnf(11593,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n12,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11590,1050,theory(equality)]),867,theory(equality)]),1024,theory(equality)]),792,theory(equality)]),602,theory(equality)]) ).

cnf(11594,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11593,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),677,theory(equality)]) ).

cnf(11595,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11594,theory(equality)]) ).

cnf(11604,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n5,succ(n8)),sum(pred(n8),n7)) != sum(n12,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[11195,11595,theory(equality)]) ).

cnf(11607,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n2 != sum(n12,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11604,1051,theory(equality)]),868,theory(equality)]),1025,theory(equality)]),818,theory(equality)]),629,theory(equality)]) ).

cnf(11608,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11607,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),679,theory(equality)]) ).

cnf(11609,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[11608,theory(equality)]) ).

cnf(11617,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n7)),sum(pred(n7),n7)) != sum(n12,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[11195,11609,theory(equality)]) ).

cnf(11620,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n12,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11617,1052,theory(equality)]),869,theory(equality)]),1026,theory(equality)]),844,theory(equality)]),656,theory(equality)]) ).

cnf(11621,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11620,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),681,theory(equality)]) ).

cnf(11622,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11621,theory(equality)]) ).

cnf(11629,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n5,succ(n6)),sum(pred(n6),n7)) != sum(n12,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[11195,11622,theory(equality)]) ).

cnf(11632,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n24 != sum(n12,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11629,1053,theory(equality)]),870,theory(equality)]),1027,theory(equality)]),870,theory(equality)]),683,theory(equality)]) ).

cnf(11633,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11632,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),683,theory(equality)]) ).

cnf(11634,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[11633,theory(equality)]) ).

cnf(11640,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n5)),sum(pred(n5),n7)) != sum(n12,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[11195,11634,theory(equality)]) ).

cnf(11643,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n22 != sum(n12,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11640,1054,theory(equality)]),871,theory(equality)]),1028,theory(equality)]),896,theory(equality)]),710,theory(equality)]) ).

cnf(11644,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11643,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),685,theory(equality)]) ).

cnf(11645,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11644,theory(equality)]) ).

cnf(11650,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n5,succ(n4)),sum(pred(n4),n7)) != sum(n12,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[11195,11645,theory(equality)]) ).

cnf(11653,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n20 != sum(n12,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11650,1055,theory(equality)]),872,theory(equality)]),1029,theory(equality)]),922,theory(equality)]),737,theory(equality)]) ).

cnf(11654,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11653,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),687,theory(equality)]) ).

cnf(11655,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[11654,theory(equality)]) ).

cnf(11659,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n5,succ(n3)),sum(pred(n3),n7)) != sum(n12,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[11195,11655,theory(equality)]) ).

cnf(11662,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n12,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11659,1056,theory(equality)]),873,theory(equality)]),1030,theory(equality)]),948,theory(equality)]),764,theory(equality)]) ).

cnf(11663,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11662,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),689,theory(equality)]) ).

cnf(11664,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11663,theory(equality)]) ).

cnf(11667,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | sum(sum(n5,succ(n2)),sum(pred(n2),n7)) != sum(n12,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[11195,11664,theory(equality)]) ).

cnf(11670,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | n16 != sum(n12,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11667,1057,theory(equality)]),874,theory(equality)]),1031,theory(equality)]),974,theory(equality)]),791,theory(equality)]) ).

cnf(11671,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11670,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),691,theory(equality)]) ).

cnf(11672,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11671,theory(equality)]) ).

cnf(11674,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | sum(sum(n5,succ(n1)),sum(pred(n1),n7)) != sum(n12,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[11195,11672,theory(equality)]) ).

cnf(11677,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | n14 != sum(n12,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11674,1058,theory(equality)]),875,theory(equality)]),1032,theory(equality)]),1000,theory(equality)]),818,theory(equality)]) ).

cnf(11678,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11677,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),693,theory(equality)]) ).

cnf(11679,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5 ),
    inference(cn,[status(thm)],[11678,theory(equality)]) ).

cnf(11684,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n5),succ(esk2_0)),sum(pred(esk2_0),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,11679,theory(equality)]) ).

cnf(11685,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n5),n1),sum(n25,succ(n5))) != sum(sum(pred(n5),succ(n5)),n0) ),
    inference(spm,[status(thm)],[1115,11679,theory(equality)]) ).

cnf(11686,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n4,succ(esk2_0)),sum(pred(esk2_0),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[11684,1028,theory(equality)]),1054,theory(equality)]) ).

cnf(11687,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n4,succ(esk2_0)),sum(pred(esk2_0),n6)) != sum(n10,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11686,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]) ).

cnf(11688,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n10 != sum(sum(pred(n5),succ(n5)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11685,1028,theory(equality)]),902,theory(equality)]),1054,theory(equality)]),351,theory(equality)]),872,theory(equality)]) ).

cnf(11689,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11688,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),747,theory(equality)]) ).

cnf(11690,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[11689,theory(equality)]) ).

cnf(11720,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n25)),sum(pred(n25),n6)) != sum(n10,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[11687,11690,theory(equality)]) ).

cnf(11723,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n8 != sum(n10,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11720,1034,theory(equality)]),903,theory(equality)]),1008,theory(equality)]),377,theory(equality)]),899,theory(equality)]) ).

cnf(11724,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11723,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),723,theory(equality)]) ).

cnf(11725,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11724,theory(equality)]) ).

cnf(11750,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n4,succ(n24)),sum(pred(n24),n6)) != sum(n10,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[11687,11725,theory(equality)]) ).

cnf(11753,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n6 != sum(n10,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11750,1035,theory(equality)]),878,theory(equality)]),1009,theory(equality)]),403,theory(equality)]),926,theory(equality)]) ).

cnf(11754,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11753,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),725,theory(equality)]) ).

cnf(11755,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[11754,theory(equality)]) ).

cnf(11779,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n23)),sum(pred(n23),n6)) != sum(n10,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[11687,11755,theory(equality)]) ).

cnf(11782,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n4 != sum(n10,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11779,1036,theory(equality)]),879,theory(equality)]),1010,theory(equality)]),429,theory(equality)]),953,theory(equality)]) ).

cnf(11783,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11782,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),727,theory(equality)]) ).

cnf(11784,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11783,theory(equality)]) ).

cnf(11807,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n4,succ(n22)),sum(pred(n22),n6)) != sum(n10,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[11687,11784,theory(equality)]) ).

cnf(11810,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n2 != sum(n10,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11807,1037,theory(equality)]),880,theory(equality)]),1011,theory(equality)]),455,theory(equality)]),980,theory(equality)]) ).

cnf(11811,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11810,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),729,theory(equality)]) ).

cnf(11812,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[11811,theory(equality)]) ).

cnf(11834,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n21)),sum(pred(n21),n6)) != sum(n10,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[11687,11812,theory(equality)]) ).

cnf(11837,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n10,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11834,1038,theory(equality)]),881,theory(equality)]),1012,theory(equality)]),481,theory(equality)]),1007,theory(equality)]) ).

cnf(11838,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11837,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),731,theory(equality)]) ).

cnf(11839,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11838,theory(equality)]) ).

cnf(11864,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n4,succ(n20)),sum(pred(n20),n6)) != sum(n10,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[11687,11839,theory(equality)]) ).

cnf(11867,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n24 != sum(n10,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11864,1039,theory(equality)]),882,theory(equality)]),1013,theory(equality)]),507,theory(equality)]),332,theory(equality)]) ).

cnf(11868,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11867,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),733,theory(equality)]) ).

cnf(11869,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[11868,theory(equality)]) ).

cnf(11889,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n19)),sum(pred(n19),n6)) != sum(n10,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[11687,11869,theory(equality)]) ).

cnf(11892,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | 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
    | n22 != sum(n10,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11889,1040,theory(equality)]),883,theory(equality)]),1014,theory(equality)]),533,theory(equality)]),359,theory(equality)]) ).

cnf(11893,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11892,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),735,theory(equality)]) ).

cnf(11894,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11893,theory(equality)]) ).

cnf(11913,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n4,succ(n18)),sum(pred(n18),n6)) != sum(n10,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[11687,11894,theory(equality)]) ).

cnf(11916,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n20 != sum(n10,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11913,1041,theory(equality)]),884,theory(equality)]),1015,theory(equality)]),559,theory(equality)]),386,theory(equality)]) ).

cnf(11917,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11916,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),737,theory(equality)]) ).

cnf(11918,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[11917,theory(equality)]) ).

cnf(11936,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n17)),sum(pred(n17),n6)) != sum(n10,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[11687,11918,theory(equality)]) ).

cnf(11939,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n10,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11936,1042,theory(equality)]),885,theory(equality)]),1016,theory(equality)]),585,theory(equality)]),413,theory(equality)]) ).

cnf(11940,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11939,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),739,theory(equality)]) ).

cnf(11941,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11940,theory(equality)]) ).

cnf(11958,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n4,succ(n16)),sum(pred(n16),n6)) != sum(n10,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[11687,11941,theory(equality)]) ).

cnf(11961,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n16 != sum(n10,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11958,1043,theory(equality)]),886,theory(equality)]),1017,theory(equality)]),611,theory(equality)]),440,theory(equality)]) ).

cnf(11962,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11961,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),741,theory(equality)]) ).

cnf(11963,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[11962,theory(equality)]) ).

cnf(11979,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n15)),sum(pred(n15),n6)) != sum(n10,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[11687,11963,theory(equality)]) ).

cnf(11982,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n10,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11979,1044,theory(equality)]),887,theory(equality)]),1018,theory(equality)]),637,theory(equality)]),467,theory(equality)]) ).

cnf(11983,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11982,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),743,theory(equality)]) ).

cnf(11984,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[11983,theory(equality)]) ).

cnf(11999,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n4,succ(n14)),sum(pred(n14),n6)) != sum(n10,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[11687,11984,theory(equality)]) ).

cnf(12002,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n12 != sum(n10,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11999,1045,theory(equality)]),888,theory(equality)]),1019,theory(equality)]),663,theory(equality)]),494,theory(equality)]) ).

cnf(12003,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12002,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),745,theory(equality)]) ).

cnf(12004,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[12003,theory(equality)]) ).

cnf(12018,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n13)),sum(pred(n13),n6)) != sum(n10,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[11687,12004,theory(equality)]) ).

cnf(12021,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n10,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12018,1046,theory(equality)]),889,theory(equality)]),1020,theory(equality)]),689,theory(equality)]),521,theory(equality)]) ).

cnf(12022,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12021,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),747,theory(equality)]) ).

cnf(12023,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12022,theory(equality)]) ).

cnf(12036,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n4,succ(n12)),sum(pred(n12),n6)) != sum(n10,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[11687,12023,theory(equality)]) ).

cnf(12039,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n8 != sum(n10,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12036,1047,theory(equality)]),890,theory(equality)]),1021,theory(equality)]),715,theory(equality)]),548,theory(equality)]) ).

cnf(12040,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12039,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),723,theory(equality)]) ).

cnf(12041,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[12040,theory(equality)]) ).

cnf(12053,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n11)),sum(pred(n11),n6)) != sum(n10,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[11687,12041,theory(equality)]) ).

cnf(12056,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n10,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12053,1048,theory(equality)]),891,theory(equality)]),1022,theory(equality)]),741,theory(equality)]),575,theory(equality)]) ).

cnf(12057,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12056,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),725,theory(equality)]) ).

cnf(12058,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12057,theory(equality)]) ).

cnf(12069,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n4,succ(n10)),sum(pred(n10),n6)) != sum(n10,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[11687,12058,theory(equality)]) ).

cnf(12072,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n4 != sum(n10,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12069,1049,theory(equality)]),892,theory(equality)]),1023,theory(equality)]),767,theory(equality)]),602,theory(equality)]) ).

cnf(12073,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12072,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),727,theory(equality)]) ).

cnf(12074,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[12073,theory(equality)]) ).

cnf(12084,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n9)),sum(pred(n9),n6)) != sum(n10,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[11687,12074,theory(equality)]) ).

cnf(12087,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n10,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12084,1050,theory(equality)]),893,theory(equality)]),1024,theory(equality)]),793,theory(equality)]),629,theory(equality)]) ).

cnf(12088,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12087,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),729,theory(equality)]) ).

cnf(12089,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12088,theory(equality)]) ).

cnf(12098,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n4,succ(n8)),sum(pred(n8),n6)) != sum(n10,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[11687,12089,theory(equality)]) ).

cnf(12101,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n0 != sum(n10,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12098,1051,theory(equality)]),894,theory(equality)]),1025,theory(equality)]),819,theory(equality)]),656,theory(equality)]) ).

cnf(12102,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12101,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),731,theory(equality)]) ).

cnf(12103,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[12102,theory(equality)]) ).

cnf(12111,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n7)),sum(pred(n7),n6)) != sum(n10,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[11687,12103,theory(equality)]) ).

cnf(12114,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n24 != sum(n10,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12111,1052,theory(equality)]),895,theory(equality)]),1026,theory(equality)]),845,theory(equality)]),683,theory(equality)]) ).

cnf(12115,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12114,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),733,theory(equality)]) ).

cnf(12116,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12115,theory(equality)]) ).

cnf(12123,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n4,succ(n6)),sum(pred(n6),n6)) != sum(n10,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[11687,12116,theory(equality)]) ).

cnf(12126,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n22 != sum(n10,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12123,1053,theory(equality)]),896,theory(equality)]),1027,theory(equality)]),871,theory(equality)]),710,theory(equality)]) ).

cnf(12127,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12126,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),735,theory(equality)]) ).

cnf(12128,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[12127,theory(equality)]) ).

cnf(12134,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n5)),sum(pred(n5),n6)) != sum(n10,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[11687,12128,theory(equality)]) ).

cnf(12137,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n10,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12134,1054,theory(equality)]),897,theory(equality)]),1028,theory(equality)]),897,theory(equality)]),737,theory(equality)]) ).

cnf(12138,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12137,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),737,theory(equality)]) ).

cnf(12139,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12138,theory(equality)]) ).

cnf(12144,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n4,succ(n4)),sum(pred(n4),n6)) != sum(n10,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[11687,12139,theory(equality)]) ).

cnf(12147,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n18 != sum(n10,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12144,1055,theory(equality)]),898,theory(equality)]),1029,theory(equality)]),923,theory(equality)]),764,theory(equality)]) ).

cnf(12148,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12147,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),739,theory(equality)]) ).

cnf(12149,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[12148,theory(equality)]) ).

cnf(12153,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n4,succ(n3)),sum(pred(n3),n6)) != sum(n10,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[11687,12149,theory(equality)]) ).

cnf(12156,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n10,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12153,1056,theory(equality)]),899,theory(equality)]),1030,theory(equality)]),949,theory(equality)]),791,theory(equality)]) ).

cnf(12157,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12156,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),741,theory(equality)]) ).

cnf(12158,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12157,theory(equality)]) ).

cnf(12161,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | sum(sum(n4,succ(n2)),sum(pred(n2),n6)) != sum(n10,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[11687,12158,theory(equality)]) ).

cnf(12164,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | n14 != sum(n10,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12161,1057,theory(equality)]),900,theory(equality)]),1031,theory(equality)]),975,theory(equality)]),818,theory(equality)]) ).

cnf(12165,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12164,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),743,theory(equality)]) ).

cnf(12166,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12165,theory(equality)]) ).

cnf(12168,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | sum(sum(n4,succ(n1)),sum(pred(n1),n6)) != sum(n10,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[11687,12166,theory(equality)]) ).

cnf(12171,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | n12 != sum(n10,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12168,1058,theory(equality)]),901,theory(equality)]),1032,theory(equality)]),1001,theory(equality)]),845,theory(equality)]) ).

cnf(12172,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12171,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),745,theory(equality)]) ).

cnf(12173,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(cn,[status(thm)],[12172,theory(equality)]) ).

cnf(12177,plain,
    ( esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n4),succ(esk2_0)),sum(pred(esk2_0),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,12173,theory(equality)]) ).

cnf(12178,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n4),n1),sum(n25,succ(n4))) != sum(sum(pred(n4),succ(n4)),n0) ),
    inference(spm,[status(thm)],[1115,12173,theory(equality)]) ).

cnf(12179,plain,
    ( esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n3,succ(esk2_0)),sum(pred(esk2_0),n5)) != sum(sum(pred(n4),succ(n4)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[12177,1029,theory(equality)]),1055,theory(equality)]) ).

cnf(12180,plain,
    ( esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n3,succ(esk2_0)),sum(pred(esk2_0),n5)) != sum(n8,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12179,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]) ).

cnf(12181,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | n8 != sum(sum(pred(n4),succ(n4)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12178,1029,theory(equality)]),928,theory(equality)]),1055,theory(equality)]),352,theory(equality)]),899,theory(equality)]) ).

cnf(12182,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12181,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),799,theory(equality)]) ).

cnf(12183,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[12182,theory(equality)]) ).

cnf(12213,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n25)),sum(pred(n25),n5)) != sum(n8,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[12180,12183,theory(equality)]) ).

cnf(12216,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n6 != sum(n8,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12213,1034,theory(equality)]),929,theory(equality)]),1008,theory(equality)]),378,theory(equality)]),926,theory(equality)]) ).

cnf(12217,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12216,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),775,theory(equality)]) ).

cnf(12218,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12217,theory(equality)]) ).

cnf(12243,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n3,succ(n24)),sum(pred(n24),n5)) != sum(n8,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[12180,12218,theory(equality)]) ).

cnf(12246,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n4 != sum(n8,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12243,1035,theory(equality)]),904,theory(equality)]),1009,theory(equality)]),404,theory(equality)]),953,theory(equality)]) ).

cnf(12247,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12246,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),777,theory(equality)]) ).

cnf(12248,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[12247,theory(equality)]) ).

cnf(12272,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n23)),sum(pred(n23),n5)) != sum(n8,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[12180,12248,theory(equality)]) ).

cnf(12275,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n2 != sum(n8,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12272,1036,theory(equality)]),905,theory(equality)]),1010,theory(equality)]),430,theory(equality)]),980,theory(equality)]) ).

cnf(12276,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12275,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),779,theory(equality)]) ).

cnf(12277,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12276,theory(equality)]) ).

cnf(12300,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n3,succ(n22)),sum(pred(n22),n5)) != sum(n8,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[12180,12277,theory(equality)]) ).

cnf(12303,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n0 != sum(n8,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12300,1037,theory(equality)]),906,theory(equality)]),1011,theory(equality)]),456,theory(equality)]),1007,theory(equality)]) ).

cnf(12304,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12303,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),781,theory(equality)]) ).

cnf(12305,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[12304,theory(equality)]) ).

cnf(12327,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n21)),sum(pred(n21),n5)) != sum(n8,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[12180,12305,theory(equality)]) ).

cnf(12330,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | 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
    | n24 != sum(n8,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12327,1038,theory(equality)]),907,theory(equality)]),1012,theory(equality)]),482,theory(equality)]),332,theory(equality)]) ).

cnf(12331,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12330,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),783,theory(equality)]) ).

cnf(12332,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12331,theory(equality)]) ).

cnf(12353,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n3,succ(n20)),sum(pred(n20),n5)) != sum(n8,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[12180,12332,theory(equality)]) ).

cnf(12356,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n22 != sum(n8,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12353,1039,theory(equality)]),908,theory(equality)]),1013,theory(equality)]),508,theory(equality)]),359,theory(equality)]) ).

cnf(12357,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12356,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),785,theory(equality)]) ).

cnf(12358,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[12357,theory(equality)]) ).

cnf(12378,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n19)),sum(pred(n19),n5)) != sum(n8,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[12180,12358,theory(equality)]) ).

cnf(12381,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n8,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12378,1040,theory(equality)]),909,theory(equality)]),1014,theory(equality)]),534,theory(equality)]),386,theory(equality)]) ).

cnf(12382,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12381,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),787,theory(equality)]) ).

cnf(12383,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12382,theory(equality)]) ).

cnf(12402,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n3,succ(n18)),sum(pred(n18),n5)) != sum(n8,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[12180,12383,theory(equality)]) ).

cnf(12405,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n18 != sum(n8,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12402,1041,theory(equality)]),910,theory(equality)]),1015,theory(equality)]),560,theory(equality)]),413,theory(equality)]) ).

cnf(12406,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12405,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),789,theory(equality)]) ).

cnf(12407,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[12406,theory(equality)]) ).

cnf(12432,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n17)),sum(pred(n17),n5)) != sum(n8,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[12180,12407,theory(equality)]) ).

cnf(12435,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n8,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12432,1042,theory(equality)]),911,theory(equality)]),1016,theory(equality)]),586,theory(equality)]),440,theory(equality)]) ).

cnf(12436,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12435,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),791,theory(equality)]) ).

cnf(12437,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12436,theory(equality)]) ).

cnf(12454,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n3,succ(n16)),sum(pred(n16),n5)) != sum(n8,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[12180,12437,theory(equality)]) ).

cnf(12457,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n14 != sum(n8,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12454,1043,theory(equality)]),912,theory(equality)]),1017,theory(equality)]),612,theory(equality)]),467,theory(equality)]) ).

cnf(12458,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12457,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),793,theory(equality)]) ).

cnf(12459,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[12458,theory(equality)]) ).

cnf(12475,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n15)),sum(pred(n15),n5)) != sum(n8,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[12180,12459,theory(equality)]) ).

cnf(12478,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n8,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12475,1044,theory(equality)]),913,theory(equality)]),1018,theory(equality)]),638,theory(equality)]),494,theory(equality)]) ).

cnf(12479,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12478,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),795,theory(equality)]) ).

cnf(12480,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12479,theory(equality)]) ).

cnf(12495,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n3,succ(n14)),sum(pred(n14),n5)) != sum(n8,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[12180,12480,theory(equality)]) ).

cnf(12498,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n10 != sum(n8,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12495,1045,theory(equality)]),914,theory(equality)]),1019,theory(equality)]),664,theory(equality)]),521,theory(equality)]) ).

cnf(12499,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12498,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),797,theory(equality)]) ).

cnf(12500,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[12499,theory(equality)]) ).

cnf(12514,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n13)),sum(pred(n13),n5)) != sum(n8,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[12180,12500,theory(equality)]) ).

cnf(12517,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n8,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12514,1046,theory(equality)]),915,theory(equality)]),1020,theory(equality)]),690,theory(equality)]),548,theory(equality)]) ).

cnf(12518,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12517,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),799,theory(equality)]) ).

cnf(12519,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12518,theory(equality)]) ).

cnf(12532,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n3,succ(n12)),sum(pred(n12),n5)) != sum(n8,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[12180,12519,theory(equality)]) ).

cnf(12535,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n6 != sum(n8,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12532,1047,theory(equality)]),916,theory(equality)]),1021,theory(equality)]),716,theory(equality)]),575,theory(equality)]) ).

cnf(12536,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12535,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),775,theory(equality)]) ).

cnf(12537,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[12536,theory(equality)]) ).

cnf(12549,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n11)),sum(pred(n11),n5)) != sum(n8,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[12180,12537,theory(equality)]) ).

cnf(12552,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n8,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12549,1048,theory(equality)]),917,theory(equality)]),1022,theory(equality)]),742,theory(equality)]),602,theory(equality)]) ).

cnf(12553,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12552,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),777,theory(equality)]) ).

cnf(12554,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12553,theory(equality)]) ).

cnf(12565,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n3,succ(n10)),sum(pred(n10),n5)) != sum(n8,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[12180,12554,theory(equality)]) ).

cnf(12568,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n2 != sum(n8,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12565,1049,theory(equality)]),918,theory(equality)]),1023,theory(equality)]),768,theory(equality)]),629,theory(equality)]) ).

cnf(12569,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12568,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),779,theory(equality)]) ).

cnf(12570,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[12569,theory(equality)]) ).

cnf(12580,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n9)),sum(pred(n9),n5)) != sum(n8,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[12180,12570,theory(equality)]) ).

cnf(12583,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n8,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12580,1050,theory(equality)]),919,theory(equality)]),1024,theory(equality)]),794,theory(equality)]),656,theory(equality)]) ).

cnf(12584,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12583,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),781,theory(equality)]) ).

cnf(12585,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12584,theory(equality)]) ).

cnf(12594,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n3,succ(n8)),sum(pred(n8),n5)) != sum(n8,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[12180,12585,theory(equality)]) ).

cnf(12597,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n24 != sum(n8,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12594,1051,theory(equality)]),920,theory(equality)]),1025,theory(equality)]),820,theory(equality)]),683,theory(equality)]) ).

cnf(12598,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12597,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),783,theory(equality)]) ).

cnf(12599,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[12598,theory(equality)]) ).

cnf(12607,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n7)),sum(pred(n7),n5)) != sum(n8,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[12180,12599,theory(equality)]) ).

cnf(12610,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n22 != sum(n8,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12607,1052,theory(equality)]),921,theory(equality)]),1026,theory(equality)]),846,theory(equality)]),710,theory(equality)]) ).

cnf(12611,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12610,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),785,theory(equality)]) ).

cnf(12612,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12611,theory(equality)]) ).

cnf(12619,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n3,succ(n6)),sum(pred(n6),n5)) != sum(n8,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[12180,12612,theory(equality)]) ).

cnf(12622,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n20 != sum(n8,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12619,1053,theory(equality)]),922,theory(equality)]),1027,theory(equality)]),872,theory(equality)]),737,theory(equality)]) ).

cnf(12623,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12622,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),787,theory(equality)]) ).

cnf(12624,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[12623,theory(equality)]) ).

cnf(12630,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n5)),sum(pred(n5),n5)) != sum(n8,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[12180,12624,theory(equality)]) ).

cnf(12633,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n8,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12630,1054,theory(equality)]),923,theory(equality)]),1028,theory(equality)]),898,theory(equality)]),764,theory(equality)]) ).

cnf(12634,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12633,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),789,theory(equality)]) ).

cnf(12635,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12634,theory(equality)]) ).

cnf(12640,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n3,succ(n4)),sum(pred(n4),n5)) != sum(n8,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[12180,12635,theory(equality)]) ).

cnf(12643,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n16 != sum(n8,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12640,1055,theory(equality)]),924,theory(equality)]),1029,theory(equality)]),924,theory(equality)]),791,theory(equality)]) ).

cnf(12644,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12643,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),791,theory(equality)]) ).

cnf(12645,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[12644,theory(equality)]) ).

cnf(12649,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n3,succ(n3)),sum(pred(n3),n5)) != sum(n8,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[12180,12645,theory(equality)]) ).

cnf(12652,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n8,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12649,1056,theory(equality)]),925,theory(equality)]),1030,theory(equality)]),950,theory(equality)]),818,theory(equality)]) ).

cnf(12653,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12652,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),793,theory(equality)]) ).

cnf(12654,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12653,theory(equality)]) ).

cnf(12657,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | sum(sum(n3,succ(n2)),sum(pred(n2),n5)) != sum(n8,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[12180,12654,theory(equality)]) ).

cnf(12660,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | n12 != sum(n8,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12657,1057,theory(equality)]),926,theory(equality)]),1031,theory(equality)]),976,theory(equality)]),845,theory(equality)]) ).

cnf(12661,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12660,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),795,theory(equality)]) ).

cnf(12662,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12661,theory(equality)]) ).

cnf(12664,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | sum(sum(n3,succ(n1)),sum(pred(n1),n5)) != sum(n8,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[12180,12662,theory(equality)]) ).

cnf(12667,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | n10 != sum(n8,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12664,1058,theory(equality)]),927,theory(equality)]),1032,theory(equality)]),1002,theory(equality)]),872,theory(equality)]) ).

cnf(12668,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12667,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),797,theory(equality)]) ).

cnf(12669,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3 ),
    inference(cn,[status(thm)],[12668,theory(equality)]) ).

cnf(12672,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n3),succ(esk2_0)),sum(pred(esk2_0),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,12669,theory(equality)]) ).

cnf(12673,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(pred(n3),n1),sum(n25,succ(n3))) != sum(sum(pred(n3),succ(n3)),n0) ),
    inference(spm,[status(thm)],[1115,12669,theory(equality)]) ).

cnf(12674,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n2,succ(esk2_0)),sum(pred(esk2_0),n4)) != sum(sum(pred(n3),succ(n3)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[12672,1030,theory(equality)]),1056,theory(equality)]) ).

cnf(12675,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n2,succ(esk2_0)),sum(pred(esk2_0),n4)) != sum(n6,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12674,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]) ).

cnf(12676,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n2
    | esk1_0 = n1
    | n6 != sum(sum(pred(n3),succ(n3)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12673,1030,theory(equality)]),954,theory(equality)]),1056,theory(equality)]),353,theory(equality)]),926,theory(equality)]) ).

cnf(12677,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n2
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12676,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),851,theory(equality)]) ).

cnf(12678,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[12677,theory(equality)]) ).

cnf(12708,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n25)),sum(pred(n25),n4)) != sum(n6,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[12675,12678,theory(equality)]) ).

cnf(12711,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n4 != sum(n6,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12708,1034,theory(equality)]),955,theory(equality)]),1008,theory(equality)]),379,theory(equality)]),953,theory(equality)]) ).

cnf(12712,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12711,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),827,theory(equality)]) ).

cnf(12713,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12712,theory(equality)]) ).

cnf(12738,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n2,succ(n24)),sum(pred(n24),n4)) != sum(n6,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[12675,12713,theory(equality)]) ).

cnf(12741,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n2 != sum(n6,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12738,1035,theory(equality)]),930,theory(equality)]),1009,theory(equality)]),405,theory(equality)]),980,theory(equality)]) ).

cnf(12742,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12741,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),829,theory(equality)]) ).

cnf(12743,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[12742,theory(equality)]) ).

cnf(12767,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n23)),sum(pred(n23),n4)) != sum(n6,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[12675,12743,theory(equality)]) ).

cnf(12770,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n6,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12767,1036,theory(equality)]),931,theory(equality)]),1010,theory(equality)]),431,theory(equality)]),1007,theory(equality)]) ).

cnf(12771,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12770,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),831,theory(equality)]) ).

cnf(12772,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12771,theory(equality)]) ).

cnf(12797,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n2,succ(n22)),sum(pred(n22),n4)) != sum(n6,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[12675,12772,theory(equality)]) ).

cnf(12800,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n24 != sum(n6,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12797,1037,theory(equality)]),932,theory(equality)]),1011,theory(equality)]),457,theory(equality)]),332,theory(equality)]) ).

cnf(12801,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12800,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),833,theory(equality)]) ).

cnf(12802,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[12801,theory(equality)]) ).

cnf(12824,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n21)),sum(pred(n21),n4)) != sum(n6,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[12675,12802,theory(equality)]) ).

cnf(12827,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | 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
    | n22 != sum(n6,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12824,1038,theory(equality)]),933,theory(equality)]),1012,theory(equality)]),483,theory(equality)]),359,theory(equality)]) ).

cnf(12828,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12827,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),835,theory(equality)]) ).

cnf(12829,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12828,theory(equality)]) ).

cnf(12850,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n2,succ(n20)),sum(pred(n20),n4)) != sum(n6,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[12675,12829,theory(equality)]) ).

cnf(12853,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n20 != sum(n6,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12850,1039,theory(equality)]),934,theory(equality)]),1013,theory(equality)]),509,theory(equality)]),386,theory(equality)]) ).

cnf(12854,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12853,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),837,theory(equality)]) ).

cnf(12855,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[12854,theory(equality)]) ).

cnf(12875,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n19)),sum(pred(n19),n4)) != sum(n6,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[12675,12855,theory(equality)]) ).

cnf(12878,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n6,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12875,1040,theory(equality)]),935,theory(equality)]),1014,theory(equality)]),535,theory(equality)]),413,theory(equality)]) ).

cnf(12879,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12878,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),839,theory(equality)]) ).

cnf(12880,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12879,theory(equality)]) ).

cnf(12899,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n2,succ(n18)),sum(pred(n18),n4)) != sum(n6,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[12675,12880,theory(equality)]) ).

cnf(12902,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n16 != sum(n6,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12899,1041,theory(equality)]),936,theory(equality)]),1015,theory(equality)]),561,theory(equality)]),440,theory(equality)]) ).

cnf(12903,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12902,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),841,theory(equality)]) ).

cnf(12904,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[12903,theory(equality)]) ).

cnf(12922,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n17)),sum(pred(n17),n4)) != sum(n6,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[12675,12904,theory(equality)]) ).

cnf(12925,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n6,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12922,1042,theory(equality)]),937,theory(equality)]),1016,theory(equality)]),587,theory(equality)]),467,theory(equality)]) ).

cnf(12926,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12925,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),843,theory(equality)]) ).

cnf(12927,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12926,theory(equality)]) ).

cnf(12944,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n2,succ(n16)),sum(pred(n16),n4)) != sum(n6,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[12675,12927,theory(equality)]) ).

cnf(12947,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n12 != sum(n6,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12944,1043,theory(equality)]),938,theory(equality)]),1017,theory(equality)]),613,theory(equality)]),494,theory(equality)]) ).

cnf(12948,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12947,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),845,theory(equality)]) ).

cnf(12949,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[12948,theory(equality)]) ).

cnf(12965,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n15)),sum(pred(n15),n4)) != sum(n6,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[12675,12949,theory(equality)]) ).

cnf(12968,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n6,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12965,1044,theory(equality)]),939,theory(equality)]),1018,theory(equality)]),639,theory(equality)]),521,theory(equality)]) ).

cnf(12969,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12968,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),847,theory(equality)]) ).

cnf(12970,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[12969,theory(equality)]) ).

cnf(12985,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n2,succ(n14)),sum(pred(n14),n4)) != sum(n6,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[12675,12970,theory(equality)]) ).

cnf(12988,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n8 != sum(n6,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12985,1045,theory(equality)]),940,theory(equality)]),1019,theory(equality)]),665,theory(equality)]),548,theory(equality)]) ).

cnf(12989,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12988,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),849,theory(equality)]) ).

cnf(12990,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[12989,theory(equality)]) ).

cnf(13004,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n13)),sum(pred(n13),n4)) != sum(n6,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[12675,12990,theory(equality)]) ).

cnf(13007,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n6,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13004,1046,theory(equality)]),941,theory(equality)]),1020,theory(equality)]),691,theory(equality)]),575,theory(equality)]) ).

cnf(13008,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13007,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),851,theory(equality)]) ).

cnf(13009,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13008,theory(equality)]) ).

cnf(13022,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n2,succ(n12)),sum(pred(n12),n4)) != sum(n6,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[12675,13009,theory(equality)]) ).

cnf(13025,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n4 != sum(n6,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13022,1047,theory(equality)]),942,theory(equality)]),1021,theory(equality)]),717,theory(equality)]),602,theory(equality)]) ).

cnf(13026,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13025,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),827,theory(equality)]) ).

cnf(13027,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[13026,theory(equality)]) ).

cnf(13039,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n11)),sum(pred(n11),n4)) != sum(n6,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[12675,13027,theory(equality)]) ).

cnf(13042,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n6,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13039,1048,theory(equality)]),943,theory(equality)]),1022,theory(equality)]),743,theory(equality)]),629,theory(equality)]) ).

cnf(13043,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13042,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),829,theory(equality)]) ).

cnf(13044,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13043,theory(equality)]) ).

cnf(13055,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n2,succ(n10)),sum(pred(n10),n4)) != sum(n6,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[12675,13044,theory(equality)]) ).

cnf(13058,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n0 != sum(n6,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13055,1049,theory(equality)]),944,theory(equality)]),1023,theory(equality)]),769,theory(equality)]),656,theory(equality)]) ).

cnf(13059,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13058,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),831,theory(equality)]) ).

cnf(13060,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[13059,theory(equality)]) ).

cnf(13070,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n9)),sum(pred(n9),n4)) != sum(n6,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[12675,13060,theory(equality)]) ).

cnf(13073,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n24 != sum(n6,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13070,1050,theory(equality)]),945,theory(equality)]),1024,theory(equality)]),795,theory(equality)]),683,theory(equality)]) ).

cnf(13074,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13073,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),833,theory(equality)]) ).

cnf(13075,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13074,theory(equality)]) ).

cnf(13084,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n2,succ(n8)),sum(pred(n8),n4)) != sum(n6,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[12675,13075,theory(equality)]) ).

cnf(13087,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n22 != sum(n6,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13084,1051,theory(equality)]),946,theory(equality)]),1025,theory(equality)]),821,theory(equality)]),710,theory(equality)]) ).

cnf(13088,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13087,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),835,theory(equality)]) ).

cnf(13089,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[13088,theory(equality)]) ).

cnf(13097,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n7)),sum(pred(n7),n4)) != sum(n6,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[12675,13089,theory(equality)]) ).

cnf(13100,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n6,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13097,1052,theory(equality)]),947,theory(equality)]),1026,theory(equality)]),847,theory(equality)]),737,theory(equality)]) ).

cnf(13101,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13100,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),837,theory(equality)]) ).

cnf(13102,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13101,theory(equality)]) ).

cnf(13109,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n2,succ(n6)),sum(pred(n6),n4)) != sum(n6,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[12675,13102,theory(equality)]) ).

cnf(13112,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n18 != sum(n6,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13109,1053,theory(equality)]),948,theory(equality)]),1027,theory(equality)]),873,theory(equality)]),764,theory(equality)]) ).

cnf(13113,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13112,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),839,theory(equality)]) ).

cnf(13114,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[13113,theory(equality)]) ).

cnf(13120,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n5)),sum(pred(n5),n4)) != sum(n6,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[12675,13114,theory(equality)]) ).

cnf(13123,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n6,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13120,1054,theory(equality)]),949,theory(equality)]),1028,theory(equality)]),899,theory(equality)]),791,theory(equality)]) ).

cnf(13124,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13123,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),841,theory(equality)]) ).

cnf(13125,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13124,theory(equality)]) ).

cnf(13130,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n2,succ(n4)),sum(pred(n4),n4)) != sum(n6,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[12675,13125,theory(equality)]) ).

cnf(13133,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n14 != sum(n6,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13130,1055,theory(equality)]),950,theory(equality)]),1029,theory(equality)]),925,theory(equality)]),818,theory(equality)]) ).

cnf(13134,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13133,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),843,theory(equality)]) ).

cnf(13135,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[13134,theory(equality)]) ).

cnf(13139,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n3)),sum(pred(n3),n4)) != sum(n6,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[12675,13135,theory(equality)]) ).

cnf(13142,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n6,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13139,1056,theory(equality)]),951,theory(equality)]),1030,theory(equality)]),951,theory(equality)]),845,theory(equality)]) ).

cnf(13143,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13142,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),845,theory(equality)]) ).

cnf(13144,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13143,theory(equality)]) ).

cnf(13147,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | sum(sum(n2,succ(n2)),sum(pred(n2),n4)) != sum(n6,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[12675,13144,theory(equality)]) ).

cnf(13150,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | n10 != sum(n6,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13147,1057,theory(equality)]),952,theory(equality)]),1031,theory(equality)]),977,theory(equality)]),872,theory(equality)]) ).

cnf(13151,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13150,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),847,theory(equality)]) ).

cnf(13152,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13151,theory(equality)]) ).

cnf(13154,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | sum(sum(n2,succ(n1)),sum(pred(n1),n4)) != sum(n6,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[12675,13152,theory(equality)]) ).

cnf(13157,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | n8 != sum(n6,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13154,1058,theory(equality)]),953,theory(equality)]),1032,theory(equality)]),1003,theory(equality)]),899,theory(equality)]) ).

cnf(13158,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13157,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),849,theory(equality)]) ).

cnf(13159,plain,
    ( esk1_0 = n1
    | esk1_0 = n2 ),
    inference(cn,[status(thm)],[13158,theory(equality)]) ).

cnf(13161,plain,
    ( esk1_0 = n1
    | sum(sum(pred(n2),succ(esk2_0)),sum(pred(esk2_0),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(spm,[status(thm)],[329,13159,theory(equality)]) ).

cnf(13162,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n1
    | sum(sum(pred(n2),n1),sum(n25,succ(n2))) != sum(sum(pred(n2),succ(n2)),n0) ),
    inference(spm,[status(thm)],[1115,13159,theory(equality)]) ).

cnf(13163,plain,
    ( esk1_0 = n1
    | sum(sum(n1,succ(esk2_0)),sum(pred(esk2_0),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[13161,1031,theory(equality)]),1057,theory(equality)]) ).

cnf(13164,plain,
    ( esk1_0 = n1
    | sum(sum(n1,succ(esk2_0)),sum(pred(esk2_0),n3)) != sum(n4,sum(pred(esk2_0),succ(esk2_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13163,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]) ).

cnf(13165,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n1
    | n4 != sum(sum(pred(n2),succ(n2)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13162,1031,theory(equality)]),980,theory(equality)]),1057,theory(equality)]),354,theory(equality)]),953,theory(equality)]) ).

cnf(13166,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13165,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),903,theory(equality)]) ).

cnf(13167,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[13166,theory(equality)]) ).

cnf(13197,plain,
    ( esk1_0 = n1
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n25)),sum(pred(n25),n3)) != sum(n4,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[13164,13167,theory(equality)]) ).

cnf(13200,plain,
    ( esk1_0 = n1
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n2 != sum(n4,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13197,1034,theory(equality)]),981,theory(equality)]),1008,theory(equality)]),380,theory(equality)]),980,theory(equality)]) ).

cnf(13201,plain,
    ( esk1_0 = n1
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13200,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),879,theory(equality)]) ).

cnf(13202,plain,
    ( esk1_0 = n1
    | esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13201,theory(equality)]) ).

cnf(13227,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n1,succ(n24)),sum(pred(n24),n3)) != sum(n4,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[13164,13202,theory(equality)]) ).

cnf(13230,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n0 != sum(n4,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13227,1035,theory(equality)]),956,theory(equality)]),1009,theory(equality)]),406,theory(equality)]),1007,theory(equality)]) ).

cnf(13231,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13230,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),881,theory(equality)]) ).

cnf(13232,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[13231,theory(equality)]) ).

cnf(13256,plain,
    ( esk1_0 = n1
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n23)),sum(pred(n23),n3)) != sum(n4,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[13164,13232,theory(equality)]) ).

cnf(13259,plain,
    ( esk1_0 = n1
    | esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n24 != sum(n4,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13256,1036,theory(equality)]),957,theory(equality)]),1010,theory(equality)]),432,theory(equality)]),332,theory(equality)]) ).

cnf(13260,plain,
    ( esk1_0 = n1
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13259,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),883,theory(equality)]) ).

cnf(13261,plain,
    ( esk1_0 = n1
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13260,theory(equality)]) ).

cnf(13284,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | sum(sum(n1,succ(n22)),sum(pred(n22),n3)) != sum(n4,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[13164,13261,theory(equality)]) ).

cnf(13287,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | n22 != sum(n4,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13284,1037,theory(equality)]),958,theory(equality)]),1011,theory(equality)]),458,theory(equality)]),359,theory(equality)]) ).

cnf(13288,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13287,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),885,theory(equality)]) ).

cnf(13289,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | esk2_0 = n20
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[13288,theory(equality)]) ).

cnf(13311,plain,
    ( esk1_0 = n1
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n21)),sum(pred(n21),n3)) != sum(n4,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[13164,13289,theory(equality)]) ).

cnf(13314,plain,
    ( esk1_0 = n1
    | 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
    | n20 != sum(n4,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13311,1038,theory(equality)]),959,theory(equality)]),1012,theory(equality)]),484,theory(equality)]),386,theory(equality)]) ).

cnf(13315,plain,
    ( esk1_0 = n1
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13314,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),887,theory(equality)]) ).

cnf(13316,plain,
    ( esk1_0 = n1
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13315,theory(equality)]) ).

cnf(13337,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n1,succ(n20)),sum(pred(n20),n3)) != sum(n4,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[13164,13316,theory(equality)]) ).

cnf(13340,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | n18 != sum(n4,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13337,1039,theory(equality)]),960,theory(equality)]),1013,theory(equality)]),510,theory(equality)]),413,theory(equality)]) ).

cnf(13341,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13340,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),889,theory(equality)]) ).

cnf(13342,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[13341,theory(equality)]) ).

cnf(13362,plain,
    ( esk1_0 = n1
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n19)),sum(pred(n19),n3)) != sum(n4,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[13164,13342,theory(equality)]) ).

cnf(13365,plain,
    ( esk1_0 = n1
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n4,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13362,1040,theory(equality)]),961,theory(equality)]),1014,theory(equality)]),536,theory(equality)]),440,theory(equality)]) ).

cnf(13366,plain,
    ( esk1_0 = n1
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13365,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),891,theory(equality)]) ).

cnf(13367,plain,
    ( esk1_0 = n1
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13366,theory(equality)]) ).

cnf(13386,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n1,succ(n18)),sum(pred(n18),n3)) != sum(n4,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[13164,13367,theory(equality)]) ).

cnf(13389,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n14 != sum(n4,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13386,1041,theory(equality)]),962,theory(equality)]),1015,theory(equality)]),562,theory(equality)]),467,theory(equality)]) ).

cnf(13390,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13389,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),893,theory(equality)]) ).

cnf(13391,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[13390,theory(equality)]) ).

cnf(13416,plain,
    ( esk1_0 = n1
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n17)),sum(pred(n17),n3)) != sum(n4,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[13164,13391,theory(equality)]) ).

cnf(13419,plain,
    ( esk1_0 = n1
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n4,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13416,1042,theory(equality)]),963,theory(equality)]),1016,theory(equality)]),588,theory(equality)]),494,theory(equality)]) ).

cnf(13420,plain,
    ( esk1_0 = n1
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13419,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),895,theory(equality)]) ).

cnf(13421,plain,
    ( esk1_0 = n1
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13420,theory(equality)]) ).

cnf(13438,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n1,succ(n16)),sum(pred(n16),n3)) != sum(n4,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[13164,13421,theory(equality)]) ).

cnf(13441,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n10 != sum(n4,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13438,1043,theory(equality)]),964,theory(equality)]),1017,theory(equality)]),614,theory(equality)]),521,theory(equality)]) ).

cnf(13442,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13441,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),897,theory(equality)]) ).

cnf(13443,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[13442,theory(equality)]) ).

cnf(13459,plain,
    ( esk1_0 = n1
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n15)),sum(pred(n15),n3)) != sum(n4,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[13164,13443,theory(equality)]) ).

cnf(13462,plain,
    ( esk1_0 = n1
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n4,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13459,1044,theory(equality)]),965,theory(equality)]),1018,theory(equality)]),640,theory(equality)]),548,theory(equality)]) ).

cnf(13463,plain,
    ( esk1_0 = n1
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13462,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),899,theory(equality)]) ).

cnf(13464,plain,
    ( esk1_0 = n1
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13463,theory(equality)]) ).

cnf(13479,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n1,succ(n14)),sum(pred(n14),n3)) != sum(n4,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[13164,13464,theory(equality)]) ).

cnf(13482,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n6 != sum(n4,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13479,1045,theory(equality)]),966,theory(equality)]),1019,theory(equality)]),666,theory(equality)]),575,theory(equality)]) ).

cnf(13483,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13482,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),901,theory(equality)]) ).

cnf(13484,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[13483,theory(equality)]) ).

cnf(13498,plain,
    ( esk1_0 = n1
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n13)),sum(pred(n13),n3)) != sum(n4,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[13164,13484,theory(equality)]) ).

cnf(13501,plain,
    ( esk1_0 = n1
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n4 != sum(n4,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13498,1046,theory(equality)]),967,theory(equality)]),1020,theory(equality)]),692,theory(equality)]),602,theory(equality)]) ).

cnf(13502,plain,
    ( esk1_0 = n1
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13501,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),903,theory(equality)]) ).

cnf(13503,plain,
    ( esk1_0 = n1
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13502,theory(equality)]) ).

cnf(13516,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n1,succ(n12)),sum(pred(n12),n3)) != sum(n4,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[13164,13503,theory(equality)]) ).

cnf(13519,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n2 != sum(n4,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13516,1047,theory(equality)]),968,theory(equality)]),1021,theory(equality)]),718,theory(equality)]),629,theory(equality)]) ).

cnf(13520,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13519,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),879,theory(equality)]) ).

cnf(13521,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[13520,theory(equality)]) ).

cnf(13533,plain,
    ( esk1_0 = n1
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n11)),sum(pred(n11),n3)) != sum(n4,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[13164,13521,theory(equality)]) ).

cnf(13536,plain,
    ( esk1_0 = n1
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n4,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13533,1048,theory(equality)]),969,theory(equality)]),1022,theory(equality)]),744,theory(equality)]),656,theory(equality)]) ).

cnf(13537,plain,
    ( esk1_0 = n1
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13536,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),881,theory(equality)]) ).

cnf(13538,plain,
    ( esk1_0 = n1
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13537,theory(equality)]) ).

cnf(13549,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n1,succ(n10)),sum(pred(n10),n3)) != sum(n4,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[13164,13538,theory(equality)]) ).

cnf(13552,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n24 != sum(n4,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13549,1049,theory(equality)]),970,theory(equality)]),1023,theory(equality)]),770,theory(equality)]),683,theory(equality)]) ).

cnf(13553,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13552,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),883,theory(equality)]) ).

cnf(13554,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[13553,theory(equality)]) ).

cnf(13564,plain,
    ( esk1_0 = n1
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n9)),sum(pred(n9),n3)) != sum(n4,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[13164,13554,theory(equality)]) ).

cnf(13567,plain,
    ( esk1_0 = n1
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n22 != sum(n4,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13564,1050,theory(equality)]),971,theory(equality)]),1024,theory(equality)]),796,theory(equality)]),710,theory(equality)]) ).

cnf(13568,plain,
    ( esk1_0 = n1
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13567,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),885,theory(equality)]) ).

cnf(13569,plain,
    ( esk1_0 = n1
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13568,theory(equality)]) ).

cnf(13578,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n1,succ(n8)),sum(pred(n8),n3)) != sum(n4,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[13164,13569,theory(equality)]) ).

cnf(13581,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n20 != sum(n4,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13578,1051,theory(equality)]),972,theory(equality)]),1025,theory(equality)]),822,theory(equality)]),737,theory(equality)]) ).

cnf(13582,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13581,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),887,theory(equality)]) ).

cnf(13583,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[13582,theory(equality)]) ).

cnf(13591,plain,
    ( esk1_0 = n1
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n7)),sum(pred(n7),n3)) != sum(n4,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[13164,13583,theory(equality)]) ).

cnf(13594,plain,
    ( esk1_0 = n1
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n18 != sum(n4,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13591,1052,theory(equality)]),973,theory(equality)]),1026,theory(equality)]),848,theory(equality)]),764,theory(equality)]) ).

cnf(13595,plain,
    ( esk1_0 = n1
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13594,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),889,theory(equality)]) ).

cnf(13596,plain,
    ( esk1_0 = n1
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13595,theory(equality)]) ).

cnf(13603,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n1,succ(n6)),sum(pred(n6),n3)) != sum(n4,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[13164,13596,theory(equality)]) ).

cnf(13606,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n16 != sum(n4,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13603,1053,theory(equality)]),974,theory(equality)]),1027,theory(equality)]),874,theory(equality)]),791,theory(equality)]) ).

cnf(13607,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13606,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),891,theory(equality)]) ).

cnf(13608,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[13607,theory(equality)]) ).

cnf(13614,plain,
    ( esk1_0 = n1
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n5)),sum(pred(n5),n3)) != sum(n4,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[13164,13608,theory(equality)]) ).

cnf(13617,plain,
    ( esk1_0 = n1
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n4,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13614,1054,theory(equality)]),975,theory(equality)]),1028,theory(equality)]),900,theory(equality)]),818,theory(equality)]) ).

cnf(13618,plain,
    ( esk1_0 = n1
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13617,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),893,theory(equality)]) ).

cnf(13619,plain,
    ( esk1_0 = n1
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13618,theory(equality)]) ).

cnf(13624,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n1,succ(n4)),sum(pred(n4),n3)) != sum(n4,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[13164,13619,theory(equality)]) ).

cnf(13627,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n12 != sum(n4,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13624,1055,theory(equality)]),976,theory(equality)]),1029,theory(equality)]),926,theory(equality)]),845,theory(equality)]) ).

cnf(13628,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13627,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),895,theory(equality)]) ).

cnf(13629,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[13628,theory(equality)]) ).

cnf(13633,plain,
    ( esk1_0 = n1
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n1,succ(n3)),sum(pred(n3),n3)) != sum(n4,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[13164,13629,theory(equality)]) ).

cnf(13636,plain,
    ( esk1_0 = n1
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n4,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13633,1056,theory(equality)]),977,theory(equality)]),1030,theory(equality)]),952,theory(equality)]),872,theory(equality)]) ).

cnf(13637,plain,
    ( esk1_0 = n1
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13636,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),897,theory(equality)]) ).

cnf(13638,plain,
    ( esk1_0 = n1
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13637,theory(equality)]) ).

cnf(13641,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | sum(sum(n1,succ(n2)),sum(pred(n2),n3)) != sum(n4,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[13164,13638,theory(equality)]) ).

cnf(13644,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | n8 != sum(n4,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13641,1057,theory(equality)]),978,theory(equality)]),1031,theory(equality)]),978,theory(equality)]),899,theory(equality)]) ).

cnf(13645,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13644,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),899,theory(equality)]) ).

cnf(13646,plain,
    ( esk1_0 = n1
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13645,theory(equality)]) ).

cnf(13648,plain,
    ( esk1_0 = n1
    | sum(sum(n1,succ(n1)),sum(pred(n1),n3)) != sum(n4,sum(pred(n1),succ(n1))) ),
    inference(spm,[status(thm)],[13164,13646,theory(equality)]) ).

cnf(13651,plain,
    ( esk1_0 = n1
    | n6 != sum(n4,sum(pred(n1),succ(n1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13648,1058,theory(equality)]),979,theory(equality)]),1032,theory(equality)]),1004,theory(equality)]),926,theory(equality)]) ).

cnf(13652,plain,
    ( esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13651,1032,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),901,theory(equality)]) ).

cnf(13653,plain,
    esk1_0 = n1,
    inference(cn,[status(thm)],[13652,theory(equality)]) ).

cnf(13654,plain,
    sum(sum(n0,succ(esk2_0)),sum(pred(esk2_0),n2)) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[329,13653,theory(equality)]),1032,theory(equality)]),13653,theory(equality)]),1058,theory(equality)]) ).

cnf(13655,plain,
    sum(sum(n0,succ(esk2_0)),sum(pred(esk2_0),n2)) != sum(n2,sum(pred(esk2_0),succ(esk2_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13654,13653,theory(equality)]),1032,theory(equality)]),13653,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]) ).

cnf(13660,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | n2 != sum(sum(pred(esk1_0),succ(esk1_0)),n0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1115,13653,theory(equality)]),1032,theory(equality)]),1006,theory(equality)]),13653,theory(equality)]),1058,theory(equality)]),355,theory(equality)]),980,theory(equality)]) ).

cnf(13661,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13660,13653,theory(equality)]),1032,theory(equality)]),13653,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),955,theory(equality)]) ).

cnf(13662,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | esk2_0 = n24
    | esk2_0 = n25 ),
    inference(cn,[status(thm)],[13661,theory(equality)]) ).

cnf(13691,plain,
    ( esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n25)),sum(pred(n25),n2)) != sum(n2,sum(pred(n25),succ(n25))) ),
    inference(spm,[status(thm)],[13655,13662,theory(equality)]) ).

cnf(13692,plain,
    ( esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n0 != sum(n2,sum(pred(n25),succ(n25))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13691,1034,theory(equality)]),1007,theory(equality)]),1008,theory(equality)]),381,theory(equality)]),1007,theory(equality)]) ).

cnf(13693,plain,
    ( esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13692,1008,theory(equality)]),1034,theory(equality)]),383,theory(equality)]),931,theory(equality)]) ).

cnf(13694,plain,
    ( esk2_0 = n24
    | esk2_0 = n23
    | esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13693,theory(equality)]) ).

cnf(13718,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | sum(sum(n0,succ(n24)),sum(pred(n24),n2)) != sum(n2,sum(pred(n24),succ(n24))) ),
    inference(spm,[status(thm)],[13655,13694,theory(equality)]) ).

cnf(13719,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | n24 != sum(n2,sum(pred(n24),succ(n24))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13718,1035,theory(equality)]),982,theory(equality)]),1009,theory(equality)]),407,theory(equality)]),332,theory(equality)]) ).

cnf(13720,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13719,1009,theory(equality)]),1035,theory(equality)]),384,theory(equality)]),933,theory(equality)]) ).

cnf(13721,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | esk2_0 = n22
    | esk2_0 = n23 ),
    inference(cn,[status(thm)],[13720,theory(equality)]) ).

cnf(13744,plain,
    ( esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n23)),sum(pred(n23),n2)) != sum(n2,sum(pred(n23),succ(n23))) ),
    inference(spm,[status(thm)],[13655,13721,theory(equality)]) ).

cnf(13745,plain,
    ( esk2_0 = n22
    | esk2_0 = n21
    | 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
    | n22 != sum(n2,sum(pred(n23),succ(n23))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13744,1036,theory(equality)]),983,theory(equality)]),1010,theory(equality)]),433,theory(equality)]),359,theory(equality)]) ).

cnf(13746,plain,
    ( esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13745,1010,theory(equality)]),1036,theory(equality)]),411,theory(equality)]),935,theory(equality)]) ).

cnf(13747,plain,
    ( esk2_0 = n22
    | esk2_0 = n21
    | esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13746,theory(equality)]) ).

cnf(13769,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | sum(sum(n0,succ(n22)),sum(pred(n22),n2)) != sum(n2,sum(pred(n22),succ(n22))) ),
    inference(spm,[status(thm)],[13655,13747,theory(equality)]) ).

cnf(13770,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | n20 != sum(n2,sum(pred(n22),succ(n22))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13769,1037,theory(equality)]),984,theory(equality)]),1011,theory(equality)]),459,theory(equality)]),386,theory(equality)]) ).

cnf(13771,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13770,1011,theory(equality)]),1037,theory(equality)]),438,theory(equality)]),937,theory(equality)]) ).

cnf(13772,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | esk2_0 = n21 ),
    inference(cn,[status(thm)],[13771,theory(equality)]) ).

cnf(13793,plain,
    ( esk2_0 = n20
    | esk2_0 = n19
    | esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n21)),sum(pred(n21),n2)) != sum(n2,sum(pred(n21),succ(n21))) ),
    inference(spm,[status(thm)],[13655,13772,theory(equality)]) ).

cnf(13794,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
    | n18 != sum(n2,sum(pred(n21),succ(n21))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13793,1038,theory(equality)]),985,theory(equality)]),1012,theory(equality)]),485,theory(equality)]),413,theory(equality)]) ).

cnf(13795,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
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13794,1012,theory(equality)]),1038,theory(equality)]),465,theory(equality)]),939,theory(equality)]) ).

cnf(13796,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 ),
    inference(cn,[status(thm)],[13795,theory(equality)]) ).

cnf(13816,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | sum(sum(n0,succ(n20)),sum(pred(n20),n2)) != sum(n2,sum(pred(n20),succ(n20))) ),
    inference(spm,[status(thm)],[13655,13796,theory(equality)]) ).

cnf(13817,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | 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
    | n16 != sum(n2,sum(pred(n20),succ(n20))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13816,1039,theory(equality)]),986,theory(equality)]),1013,theory(equality)]),511,theory(equality)]),440,theory(equality)]) ).

cnf(13818,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13817,1013,theory(equality)]),1039,theory(equality)]),492,theory(equality)]),941,theory(equality)]) ).

cnf(13819,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | esk2_0 = n18
    | esk2_0 = n19 ),
    inference(cn,[status(thm)],[13818,theory(equality)]) ).

cnf(13838,plain,
    ( esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n19)),sum(pred(n19),n2)) != sum(n2,sum(pred(n19),succ(n19))) ),
    inference(spm,[status(thm)],[13655,13819,theory(equality)]) ).

cnf(13839,plain,
    ( esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n14 != sum(n2,sum(pred(n19),succ(n19))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13838,1040,theory(equality)]),987,theory(equality)]),1014,theory(equality)]),537,theory(equality)]),467,theory(equality)]) ).

cnf(13840,plain,
    ( esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13839,1014,theory(equality)]),1040,theory(equality)]),519,theory(equality)]),943,theory(equality)]) ).

cnf(13841,plain,
    ( esk2_0 = n18
    | esk2_0 = n17
    | esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13840,theory(equality)]) ).

cnf(13859,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | sum(sum(n0,succ(n18)),sum(pred(n18),n2)) != sum(n2,sum(pred(n18),succ(n18))) ),
    inference(spm,[status(thm)],[13655,13841,theory(equality)]) ).

cnf(13860,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | n12 != sum(n2,sum(pred(n18),succ(n18))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13859,1041,theory(equality)]),988,theory(equality)]),1015,theory(equality)]),563,theory(equality)]),494,theory(equality)]) ).

cnf(13861,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13860,1015,theory(equality)]),1041,theory(equality)]),546,theory(equality)]),945,theory(equality)]) ).

cnf(13862,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | esk2_0 = n16
    | esk2_0 = n17 ),
    inference(cn,[status(thm)],[13861,theory(equality)]) ).

cnf(13879,plain,
    ( esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n17)),sum(pred(n17),n2)) != sum(n2,sum(pred(n17),succ(n17))) ),
    inference(spm,[status(thm)],[13655,13862,theory(equality)]) ).

cnf(13880,plain,
    ( esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n10 != sum(n2,sum(pred(n17),succ(n17))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13879,1042,theory(equality)]),989,theory(equality)]),1016,theory(equality)]),589,theory(equality)]),521,theory(equality)]) ).

cnf(13881,plain,
    ( esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13880,1016,theory(equality)]),1042,theory(equality)]),573,theory(equality)]),947,theory(equality)]) ).

cnf(13882,plain,
    ( esk2_0 = n16
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13881,theory(equality)]) ).

cnf(13898,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | sum(sum(n0,succ(n16)),sum(pred(n16),n2)) != sum(n2,sum(pred(n16),succ(n16))) ),
    inference(spm,[status(thm)],[13655,13882,theory(equality)]) ).

cnf(13899,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | n8 != sum(n2,sum(pred(n16),succ(n16))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13898,1043,theory(equality)]),990,theory(equality)]),1017,theory(equality)]),615,theory(equality)]),548,theory(equality)]) ).

cnf(13900,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13899,1017,theory(equality)]),1043,theory(equality)]),600,theory(equality)]),949,theory(equality)]) ).

cnf(13901,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(cn,[status(thm)],[13900,theory(equality)]) ).

cnf(13916,plain,
    ( esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n15)),sum(pred(n15),n2)) != sum(n2,sum(pred(n15),succ(n15))) ),
    inference(spm,[status(thm)],[13655,13901,theory(equality)]) ).

cnf(13917,plain,
    ( esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n6 != sum(n2,sum(pred(n15),succ(n15))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13916,1044,theory(equality)]),991,theory(equality)]),1018,theory(equality)]),641,theory(equality)]),575,theory(equality)]) ).

cnf(13918,plain,
    ( esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13917,1018,theory(equality)]),1044,theory(equality)]),627,theory(equality)]),951,theory(equality)]) ).

cnf(13919,plain,
    ( esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13918,theory(equality)]) ).

cnf(13933,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | sum(sum(n0,succ(n14)),sum(pred(n14),n2)) != sum(n2,sum(pred(n14),succ(n14))) ),
    inference(spm,[status(thm)],[13655,13919,theory(equality)]) ).

cnf(13934,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | n4 != sum(n2,sum(pred(n14),succ(n14))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13933,1045,theory(equality)]),992,theory(equality)]),1019,theory(equality)]),667,theory(equality)]),602,theory(equality)]) ).

cnf(13935,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13934,1019,theory(equality)]),1045,theory(equality)]),654,theory(equality)]),953,theory(equality)]) ).

cnf(13936,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(cn,[status(thm)],[13935,theory(equality)]) ).

cnf(13949,plain,
    ( esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n13)),sum(pred(n13),n2)) != sum(n2,sum(pred(n13),succ(n13))) ),
    inference(spm,[status(thm)],[13655,13936,theory(equality)]) ).

cnf(13950,plain,
    ( esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n2 != sum(n2,sum(pred(n13),succ(n13))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13949,1046,theory(equality)]),993,theory(equality)]),1020,theory(equality)]),693,theory(equality)]),629,theory(equality)]) ).

cnf(13951,plain,
    ( esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13950,1020,theory(equality)]),1046,theory(equality)]),681,theory(equality)]),955,theory(equality)]) ).

cnf(13952,plain,
    ( esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13951,theory(equality)]) ).

cnf(13964,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | sum(sum(n0,succ(n12)),sum(pred(n12),n2)) != sum(n2,sum(pred(n12),succ(n12))) ),
    inference(spm,[status(thm)],[13655,13952,theory(equality)]) ).

cnf(13965,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | n0 != sum(n2,sum(pred(n12),succ(n12))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13964,1047,theory(equality)]),994,theory(equality)]),1021,theory(equality)]),719,theory(equality)]),656,theory(equality)]) ).

cnf(13966,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13965,1021,theory(equality)]),1047,theory(equality)]),708,theory(equality)]),931,theory(equality)]) ).

cnf(13967,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(cn,[status(thm)],[13966,theory(equality)]) ).

cnf(13978,plain,
    ( esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n11)),sum(pred(n11),n2)) != sum(n2,sum(pred(n11),succ(n11))) ),
    inference(spm,[status(thm)],[13655,13967,theory(equality)]) ).

cnf(13979,plain,
    ( esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n24 != sum(n2,sum(pred(n11),succ(n11))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13978,1048,theory(equality)]),995,theory(equality)]),1022,theory(equality)]),745,theory(equality)]),683,theory(equality)]) ).

cnf(13980,plain,
    ( esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13979,1022,theory(equality)]),1048,theory(equality)]),735,theory(equality)]),933,theory(equality)]) ).

cnf(13981,plain,
    ( esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[13980,theory(equality)]) ).

cnf(13991,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | sum(sum(n0,succ(n10)),sum(pred(n10),n2)) != sum(n2,sum(pred(n10),succ(n10))) ),
    inference(spm,[status(thm)],[13655,13981,theory(equality)]) ).

cnf(13992,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | n22 != sum(n2,sum(pred(n10),succ(n10))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13991,1049,theory(equality)]),996,theory(equality)]),1023,theory(equality)]),771,theory(equality)]),710,theory(equality)]) ).

cnf(13993,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13992,1023,theory(equality)]),1049,theory(equality)]),762,theory(equality)]),935,theory(equality)]) ).

cnf(13994,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(cn,[status(thm)],[13993,theory(equality)]) ).

cnf(14003,plain,
    ( esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n9)),sum(pred(n9),n2)) != sum(n2,sum(pred(n9),succ(n9))) ),
    inference(spm,[status(thm)],[13655,13994,theory(equality)]) ).

cnf(14004,plain,
    ( esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n20 != sum(n2,sum(pred(n9),succ(n9))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14003,1050,theory(equality)]),997,theory(equality)]),1024,theory(equality)]),797,theory(equality)]),737,theory(equality)]) ).

cnf(14005,plain,
    ( esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14004,1024,theory(equality)]),1050,theory(equality)]),789,theory(equality)]),937,theory(equality)]) ).

cnf(14006,plain,
    ( esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[14005,theory(equality)]) ).

cnf(14014,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | sum(sum(n0,succ(n8)),sum(pred(n8),n2)) != sum(n2,sum(pred(n8),succ(n8))) ),
    inference(spm,[status(thm)],[13655,14006,theory(equality)]) ).

cnf(14015,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | n18 != sum(n2,sum(pred(n8),succ(n8))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14014,1051,theory(equality)]),998,theory(equality)]),1025,theory(equality)]),823,theory(equality)]),764,theory(equality)]) ).

cnf(14016,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14015,1025,theory(equality)]),1051,theory(equality)]),816,theory(equality)]),939,theory(equality)]) ).

cnf(14017,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(cn,[status(thm)],[14016,theory(equality)]) ).

cnf(14024,plain,
    ( esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n7)),sum(pred(n7),n2)) != sum(n2,sum(pred(n7),succ(n7))) ),
    inference(spm,[status(thm)],[13655,14017,theory(equality)]) ).

cnf(14025,plain,
    ( esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n16 != sum(n2,sum(pred(n7),succ(n7))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14024,1052,theory(equality)]),999,theory(equality)]),1026,theory(equality)]),849,theory(equality)]),791,theory(equality)]) ).

cnf(14026,plain,
    ( esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14025,1026,theory(equality)]),1052,theory(equality)]),843,theory(equality)]),941,theory(equality)]) ).

cnf(14027,plain,
    ( esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[14026,theory(equality)]) ).

cnf(14033,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | sum(sum(n0,succ(n6)),sum(pred(n6),n2)) != sum(n2,sum(pred(n6),succ(n6))) ),
    inference(spm,[status(thm)],[13655,14027,theory(equality)]) ).

cnf(14034,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | n14 != sum(n2,sum(pred(n6),succ(n6))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14033,1053,theory(equality)]),1000,theory(equality)]),1027,theory(equality)]),875,theory(equality)]),818,theory(equality)]) ).

cnf(14035,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14034,1027,theory(equality)]),1053,theory(equality)]),870,theory(equality)]),943,theory(equality)]) ).

cnf(14036,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(cn,[status(thm)],[14035,theory(equality)]) ).

cnf(14041,plain,
    ( esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n5)),sum(pred(n5),n2)) != sum(n2,sum(pred(n5),succ(n5))) ),
    inference(spm,[status(thm)],[13655,14036,theory(equality)]) ).

cnf(14042,plain,
    ( esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | n12 != sum(n2,sum(pred(n5),succ(n5))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14041,1054,theory(equality)]),1001,theory(equality)]),1028,theory(equality)]),901,theory(equality)]),845,theory(equality)]) ).

cnf(14043,plain,
    ( esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14042,1028,theory(equality)]),1054,theory(equality)]),897,theory(equality)]),945,theory(equality)]) ).

cnf(14044,plain,
    ( esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[14043,theory(equality)]) ).

cnf(14048,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | sum(sum(n0,succ(n4)),sum(pred(n4),n2)) != sum(n2,sum(pred(n4),succ(n4))) ),
    inference(spm,[status(thm)],[13655,14044,theory(equality)]) ).

cnf(14049,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | n10 != sum(n2,sum(pred(n4),succ(n4))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14048,1055,theory(equality)]),1002,theory(equality)]),1029,theory(equality)]),927,theory(equality)]),872,theory(equality)]) ).

cnf(14050,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14049,1029,theory(equality)]),1055,theory(equality)]),924,theory(equality)]),947,theory(equality)]) ).

cnf(14051,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(cn,[status(thm)],[14050,theory(equality)]) ).

cnf(14054,plain,
    ( esk2_0 = n2
    | esk2_0 = n1
    | sum(sum(n0,succ(n3)),sum(pred(n3),n2)) != sum(n2,sum(pred(n3),succ(n3))) ),
    inference(spm,[status(thm)],[13655,14051,theory(equality)]) ).

cnf(14055,plain,
    ( esk2_0 = n2
    | esk2_0 = n1
    | n8 != sum(n2,sum(pred(n3),succ(n3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14054,1056,theory(equality)]),1003,theory(equality)]),1030,theory(equality)]),953,theory(equality)]),899,theory(equality)]) ).

cnf(14056,plain,
    ( esk2_0 = n2
    | esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14055,1030,theory(equality)]),1056,theory(equality)]),951,theory(equality)]),949,theory(equality)]) ).

cnf(14057,plain,
    ( esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[14056,theory(equality)]) ).

cnf(14059,plain,
    ( esk2_0 = n1
    | sum(sum(n0,succ(n2)),sum(pred(n2),n2)) != sum(n2,sum(pred(n2),succ(n2))) ),
    inference(spm,[status(thm)],[13655,14057,theory(equality)]) ).

cnf(14060,plain,
    ( esk2_0 = n1
    | n6 != sum(n2,sum(pred(n2),succ(n2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14059,1057,theory(equality)]),1004,theory(equality)]),1031,theory(equality)]),979,theory(equality)]),926,theory(equality)]) ).

cnf(14061,plain,
    ( esk2_0 = n1
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14060,1031,theory(equality)]),1057,theory(equality)]),978,theory(equality)]),951,theory(equality)]) ).

cnf(14062,plain,
    esk2_0 = n1,
    inference(cn,[status(thm)],[14061,theory(equality)]) ).

cnf(14063,plain,
    n4 != sum(n2,sum(pred(esk2_0),succ(esk2_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13655,14062,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),14062,theory(equality)]),1032,theory(equality)]),1005,theory(equality)]),953,theory(equality)]) ).

cnf(14064,plain,
    $false,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14063,14062,theory(equality)]),1032,theory(equality)]),14062,theory(equality)]),1058,theory(equality)]),1005,theory(equality)]),953,theory(equality)]) ).

cnf(14065,plain,
    $false,
    inference(cn,[status(thm)],[14064,theory(equality)]) ).

cnf(14066,plain,
    $false,
    14065,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM376+1.025 : TPTP v7.0.0. Released v3.2.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.24  % Computer : n047.star.cs.uiowa.edu
% 0.03/0.24  % Model    : x86_64 x86_64
% 0.03/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24  % Memory   : 32218.625MB
% 0.03/0.24  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24  % CPULimit : 300
% 0.03/0.24  % DateTime : Fri Jan  5 02:14:15 CST 2018
% 0.03/0.24  % CPUTime  : 
% 0.07/0.28  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.28  --creating new selector for []
% 1.89/2.08  -running prover on /export/starexec/sandbox2/tmp/tmpu575Oz/sel_theBenchmark.p_1 with time limit 29
% 1.89/2.08  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpu575Oz/sel_theBenchmark.p_1']
% 1.89/2.08  -prover status Unsatisfiable
% 1.89/2.08  Problem theBenchmark.p solved in phase 0.
% 1.89/2.08  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.89/2.08  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.89/2.08  Solved 1 out of 1.
% 1.89/2.08  # Problem is unsatisfiable (or provable), constructing proof object
% 1.89/2.08  # SZS status Unsatisfiable
% 1.89/2.08  # SZS output start CNFRefutation.
% See solution above
% 1.91/2.11  # SZS output end CNFRefutation
%------------------------------------------------------------------------------