%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM378+1.020.015 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 11:30:11 EDT 2023

% Result   : Unsatisfiable 21.51s 3.71s
% Output   : CNFRefutation 21.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    : 1392 (1383 unt;   0 def)
%            Number of atoms       : 4791 (4790 equ)
%            Maximal formula atoms : 1658 (   3 avg)
%            Number of connectives : 4499 (1100   ~; 258   |;3140   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  879 (   3 avg)
%            Maximal term depth    :   22 (   5 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :  116 ( 116 usr; 113 con; 0-2 aty)
%            Number of variables   :  184 (   0 sgn;   0   !; 184   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88,X89,X90,X91] :
      ( n19 != n20
      & n18 != n20
      & n18 != n19
      & n17 != n20
      & n17 != n19
      & n17 != n18
      & n16 != n20
      & n16 != n19
      & n16 != n18
      & n16 != n17
      & n15 != n20
      & n15 != n19
      & n15 != n18
      & n15 != n17
      & n15 != n16
      & n14 != n20
      & n14 != n19
      & n14 != n18
      & n14 != n17
      & n14 != n16
      & n14 != n15
      & n13 != n20
      & n13 != n19
      & n13 != n18
      & n13 != n17
      & n13 != n16
      & n13 != n15
      & n13 != n14
      & n12 != n20
      & n12 != n19
      & n12 != n18
      & n12 != n17
      & n12 != n16
      & n12 != n15
      & n12 != n14
      & n12 != n13
      & n11 != n20
      & n11 != n19
      & n11 != n18
      & n11 != n17
      & n11 != n16
      & n11 != n15
      & n11 != n14
      & n11 != n13
      & n11 != n12
      & n10 != n20
      & n10 != n19
      & n10 != n18
      & n10 != n17
      & n10 != n16
      & n10 != n15
      & n10 != n14
      & n10 != n13
      & n10 != n12
      & n10 != n11
      & n9 != n20
      & n9 != n19
      & n9 != n18
      & n9 != n17
      & n9 != n16
      & n9 != n15
      & n9 != n14
      & n9 != n13
      & n9 != n12
      & n9 != n11
      & n9 != n10
      & n8 != n20
      & n8 != n19
      & n8 != n18
      & n8 != n17
      & n8 != n16
      & n8 != n15
      & n8 != n14
      & n8 != n13
      & n8 != n12
      & n8 != n11
      & n8 != n10
      & n8 != n9
      & n7 != n20
      & n7 != n19
      & n7 != n18
      & n7 != n17
      & n7 != n16
      & n7 != n15
      & n7 != n14
      & n7 != n13
      & n7 != n12
      & n7 != n11
      & n7 != n10
      & n7 != n9
      & n7 != n8
      & n6 != n20
      & n6 != n19
      & n6 != n18
      & n6 != n17
      & n6 != n16
      & n6 != n15
      & n6 != n14
      & n6 != n13
      & n6 != n12
      & n6 != n11
      & n6 != n10
      & n6 != n9
      & n6 != n8
      & n6 != n7
      & n5 != n20
      & n5 != n19
      & n5 != n18
      & n5 != n17
      & n5 != n16
      & n5 != n15
      & n5 != n14
      & n5 != n13
      & n5 != n12
      & n5 != n11
      & n5 != n10
      & n5 != n9
      & n5 != n8
      & n5 != n7
      & n5 != n6
      & n4 != n20
      & n4 != n19
      & n4 != n18
      & n4 != n17
      & n4 != n16
      & n4 != n15
      & n4 != n14
      & n4 != n13
      & n4 != n12
      & n4 != n11
      & n4 != n10
      & n4 != n9
      & n4 != n8
      & n4 != n7
      & n4 != n6
      & n4 != n5
      & n3 != n20
      & n3 != n19
      & n3 != n18
      & n3 != n17
      & n3 != n16
      & n3 != n15
      & n3 != n14
      & n3 != n13
      & n3 != n12
      & n3 != n11
      & n3 != n10
      & n3 != n9
      & n3 != n8
      & n3 != n7
      & n3 != n6
      & n3 != n5
      & n3 != n4
      & n2 != n20
      & n2 != n19
      & n2 != n18
      & n2 != n17
      & n2 != n16
      & n2 != n15
      & n2 != n14
      & n2 != n13
      & n2 != n12
      & n2 != n11
      & n2 != n10
      & n2 != n9
      & n2 != n8
      & n2 != n7
      & n2 != n6
      & n2 != n5
      & n2 != n4
      & n2 != n3
      & n1 != n20
      & n1 != n19
      & n1 != n18
      & n1 != n17
      & n1 != n16
      & n1 != n15
      & n1 != n14
      & n1 != n13
      & n1 != n12
      & n1 != n11
      & n1 != n10
      & n1 != n9
      & n1 != n8
      & n1 != n7
      & n1 != n6
      & n1 != n5
      & n1 != n4
      & n1 != n3
      & n1 != n2
      & n0 != n20
      & n0 != n19
      & n0 != n18
      & n0 != n17
      & n0 != n16
      & n0 != n15
      & n0 != n14
      & n0 != n13
      & n0 != n12
      & n0 != n11
      & n0 != n10
      & n0 != n9
      & n0 != n8
      & n0 != n7
      & n0 != n6
      & n0 != n5
      & n0 != n4
      & n0 != n3
      & n0 != n2
      & n0 != n1
      & ( X30 != X31
        | X28 != X29
        | X26 != X27
        | X24 != X25 )
      & sum(pred(X90),sum(succ(X88),sum(pred(X91),succ(X89)))) = X31
      & sum(sum(pred(X28),succ(X29)),sum(pred(X29),succ(X28))) = X30
      & sum(pred(X86),sum(succ(X84),sum(pred(X87),succ(X85)))) = X29
      & sum(sum(pred(X26),succ(X27)),sum(pred(X27),succ(X26))) = X28
      & sum(pred(X82),sum(succ(X80),sum(pred(X83),succ(X81)))) = X27
      & sum(sum(pred(X24),succ(X25)),sum(pred(X25),succ(X24))) = X26
      & sum(pred(X78),sum(succ(X76),sum(pred(X79),succ(X77)))) = X25
      & sum(sum(pred(X22),succ(X23)),sum(pred(X23),succ(X22))) = X24
      & sum(pred(X74),sum(succ(X72),sum(pred(X75),succ(X73)))) = X23
      & sum(sum(pred(X20),succ(X21)),sum(pred(X21),succ(X20))) = X22
      & sum(pred(X70),sum(succ(X68),sum(pred(X71),succ(X69)))) = X21
      & sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
      & sum(pred(X66),sum(succ(X64),sum(pred(X67),succ(X65)))) = X19
      & sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
      & sum(pred(X62),sum(succ(X60),sum(pred(X63),succ(X61)))) = X17
      & sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
      & sum(pred(X58),sum(succ(X56),sum(pred(X59),succ(X57)))) = X15
      & sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
      & sum(pred(X54),sum(succ(X52),sum(pred(X55),succ(X53)))) = X13
      & sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
      & sum(pred(X50),sum(succ(X48),sum(pred(X51),succ(X49)))) = X11
      & sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
      & sum(pred(X46),sum(succ(X44),sum(pred(X47),succ(X45)))) = X9
      & sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
      & sum(pred(X42),sum(succ(X40),sum(pred(X43),succ(X41)))) = X7
      & sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
      & sum(pred(X38),sum(succ(X36),sum(pred(X39),succ(X37)))) = X5
      & sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
      & sum(pred(X34),sum(succ(X32),sum(pred(X35),succ(X33)))) = X3
      & sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X29))))))))))))))))))))) = X91
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X29))))))))))))))))))))) = X89
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X28))))))))))))))))))))) = X90
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X28))))))))))))))))))))) = X88
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X27))))))))))))))))))))) = X87
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X27))))))))))))))))))))) = X85
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X26))))))))))))))))))))) = X86
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X26))))))))))))))))))))) = X84
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X25))))))))))))))))))))) = X83
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X25))))))))))))))))))))) = X81
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X24))))))))))))))))))))) = X82
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X24))))))))))))))))))))) = X80
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X23))))))))))))))))))))) = X79
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X23))))))))))))))))))))) = X77
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X22))))))))))))))))))))) = X78
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X22))))))))))))))))))))) = X76
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X21))))))))))))))))))))) = X75
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X21))))))))))))))))))))) = X73
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X20))))))))))))))))))))) = X74
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X20))))))))))))))))))))) = X72
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19))))))))))))))))))))) = X71
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19))))))))))))))))))))) = X69
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18))))))))))))))))))))) = X70
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18))))))))))))))))))))) = X68
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17))))))))))))))))))))) = X67
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17))))))))))))))))))))) = X65
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16))))))))))))))))))))) = X66
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16))))))))))))))))))))) = X64
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15))))))))))))))))))))) = X63
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15))))))))))))))))))))) = X61
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14))))))))))))))))))))) = X62
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14))))))))))))))))))))) = X60
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13))))))))))))))))))))) = X59
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13))))))))))))))))))))) = X57
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12))))))))))))))))))))) = X58
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12))))))))))))))))))))) = X56
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11))))))))))))))))))))) = X55
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11))))))))))))))))))))) = X53
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10))))))))))))))))))))) = X54
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10))))))))))))))))))))) = X52
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9))))))))))))))))))))) = X51
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9))))))))))))))))))))) = X49
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8))))))))))))))))))))) = X50
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8))))))))))))))))))))) = X48
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7))))))))))))))))))))) = X47
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7))))))))))))))))))))) = X45
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6))))))))))))))))))))) = X46
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6))))))))))))))))))))) = X44
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5))))))))))))))))))))) = X43
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5))))))))))))))))))))) = X41
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4))))))))))))))))))))) = X42
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4))))))))))))))))))))) = X40
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3))))))))))))))))))))) = X39
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3))))))))))))))))))))) = X37
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2))))))))))))))))))))) = X38
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2))))))))))))))))))))) = X36
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1))))))))))))))))))))) = X35
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1))))))))))))))))))))) = X33
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0))))))))))))))))))))) = X34
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0))))))))))))))))))))) = X32
      & ( n20 = X1
        | n19 = X1
        | n18 = X1
        | n17 = X1
        | n16 = X1
        | n15 = X1
        | n14 = X1
        | n13 = X1
        | n12 = X1
        | n11 = X1
        | n10 = X1
        | n9 = X1
        | n8 = X1
        | n7 = X1
        | n6 = X1
        | n5 = X1
        | n4 = X1
        | n3 = X1
        | n2 = X1
        | n1 = X1
        | n0 = X1 )
      & ( n20 = X0
        | n19 = X0
        | n18 = X0
        | n17 = X0
        | n16 = X0
        | n15 = X0
        | n14 = X0
        | n13 = X0
        | n12 = X0
        | n11 = X0
        | n10 = X0
        | n9 = X0
        | n8 = X0
        | n7 = X0
        | n6 = X0
        | n5 = X0
        | n4 = X0
        | n3 = X0
        | n2 = X0
        | n1 = X0
        | n0 = X0 )
      & n19 = sum(n20,n20)
      & n18 = sum(n20,n19)
      & n17 = sum(n20,n18)
      & n16 = sum(n20,n17)
      & n15 = sum(n20,n16)
      & n14 = sum(n20,n15)
      & n13 = sum(n20,n14)
      & n12 = sum(n20,n13)
      & n11 = sum(n20,n12)
      & n10 = sum(n20,n11)
      & n9 = sum(n20,n10)
      & n8 = sum(n20,n9)
      & n7 = sum(n20,n8)
      & n6 = sum(n20,n7)
      & n5 = sum(n20,n6)
      & n4 = sum(n20,n5)
      & n3 = sum(n20,n4)
      & n2 = sum(n20,n3)
      & n1 = sum(n20,n2)
      & n0 = sum(n20,n1)
      & n20 = sum(n20,n0)
      & n18 = sum(n19,n20)
      & n17 = sum(n19,n19)
      & n16 = sum(n19,n18)
      & n15 = sum(n19,n17)
      & n14 = sum(n19,n16)
      & n13 = sum(n19,n15)
      & n12 = sum(n19,n14)
      & n11 = sum(n19,n13)
      & n10 = sum(n19,n12)
      & n9 = sum(n19,n11)
      & n8 = sum(n19,n10)
      & n7 = sum(n19,n9)
      & n6 = sum(n19,n8)
      & n5 = sum(n19,n7)
      & n4 = sum(n19,n6)
      & n3 = sum(n19,n5)
      & n2 = sum(n19,n4)
      & n1 = sum(n19,n3)
      & n0 = sum(n19,n2)
      & n20 = sum(n19,n1)
      & n19 = sum(n19,n0)
      & n17 = sum(n18,n20)
      & n16 = sum(n18,n19)
      & n15 = sum(n18,n18)
      & n14 = sum(n18,n17)
      & n13 = sum(n18,n16)
      & n12 = sum(n18,n15)
      & n11 = sum(n18,n14)
      & n10 = sum(n18,n13)
      & n9 = sum(n18,n12)
      & n8 = sum(n18,n11)
      & n7 = sum(n18,n10)
      & n6 = sum(n18,n9)
      & n5 = sum(n18,n8)
      & n4 = sum(n18,n7)
      & n3 = sum(n18,n6)
      & n2 = sum(n18,n5)
      & n1 = sum(n18,n4)
      & n0 = sum(n18,n3)
      & n20 = sum(n18,n2)
      & n19 = sum(n18,n1)
      & n18 = sum(n18,n0)
      & n16 = sum(n17,n20)
      & n15 = sum(n17,n19)
      & n14 = sum(n17,n18)
      & n13 = sum(n17,n17)
      & n12 = sum(n17,n16)
      & n11 = sum(n17,n15)
      & n10 = sum(n17,n14)
      & n9 = sum(n17,n13)
      & n8 = sum(n17,n12)
      & n7 = sum(n17,n11)
      & n6 = sum(n17,n10)
      & n5 = sum(n17,n9)
      & n4 = sum(n17,n8)
      & n3 = sum(n17,n7)
      & n2 = sum(n17,n6)
      & n1 = sum(n17,n5)
      & n0 = sum(n17,n4)
      & n20 = sum(n17,n3)
      & n19 = sum(n17,n2)
      & n18 = sum(n17,n1)
      & n17 = sum(n17,n0)
      & n15 = sum(n16,n20)
      & n14 = sum(n16,n19)
      & n13 = sum(n16,n18)
      & n12 = sum(n16,n17)
      & n11 = sum(n16,n16)
      & n10 = sum(n16,n15)
      & n9 = sum(n16,n14)
      & n8 = sum(n16,n13)
      & n7 = sum(n16,n12)
      & n6 = sum(n16,n11)
      & n5 = sum(n16,n10)
      & n4 = sum(n16,n9)
      & n3 = sum(n16,n8)
      & n2 = sum(n16,n7)
      & n1 = sum(n16,n6)
      & n0 = sum(n16,n5)
      & n20 = sum(n16,n4)
      & n19 = sum(n16,n3)
      & n18 = sum(n16,n2)
      & n17 = sum(n16,n1)
      & n16 = sum(n16,n0)
      & n14 = sum(n15,n20)
      & n13 = sum(n15,n19)
      & n12 = sum(n15,n18)
      & n11 = sum(n15,n17)
      & n10 = sum(n15,n16)
      & n9 = sum(n15,n15)
      & n8 = sum(n15,n14)
      & n7 = sum(n15,n13)
      & n6 = sum(n15,n12)
      & n5 = sum(n15,n11)
      & n4 = sum(n15,n10)
      & n3 = sum(n15,n9)
      & n2 = sum(n15,n8)
      & n1 = sum(n15,n7)
      & n0 = sum(n15,n6)
      & n20 = sum(n15,n5)
      & n19 = sum(n15,n4)
      & n18 = sum(n15,n3)
      & n17 = sum(n15,n2)
      & n16 = sum(n15,n1)
      & n15 = sum(n15,n0)
      & n13 = sum(n14,n20)
      & n12 = sum(n14,n19)
      & n11 = sum(n14,n18)
      & n10 = sum(n14,n17)
      & n9 = sum(n14,n16)
      & n8 = sum(n14,n15)
      & n7 = sum(n14,n14)
      & n6 = sum(n14,n13)
      & n5 = sum(n14,n12)
      & n4 = sum(n14,n11)
      & n3 = sum(n14,n10)
      & n2 = sum(n14,n9)
      & n1 = sum(n14,n8)
      & n0 = sum(n14,n7)
      & n20 = sum(n14,n6)
      & n19 = sum(n14,n5)
      & n18 = sum(n14,n4)
      & n17 = sum(n14,n3)
      & n16 = sum(n14,n2)
      & n15 = sum(n14,n1)
      & n14 = sum(n14,n0)
      & n12 = sum(n13,n20)
      & n11 = sum(n13,n19)
      & n10 = sum(n13,n18)
      & n9 = sum(n13,n17)
      & n8 = sum(n13,n16)
      & n7 = sum(n13,n15)
      & n6 = sum(n13,n14)
      & n5 = sum(n13,n13)
      & n4 = sum(n13,n12)
      & n3 = sum(n13,n11)
      & n2 = sum(n13,n10)
      & n1 = sum(n13,n9)
      & n0 = sum(n13,n8)
      & n20 = sum(n13,n7)
      & n19 = sum(n13,n6)
      & n18 = sum(n13,n5)
      & n17 = sum(n13,n4)
      & n16 = sum(n13,n3)
      & n15 = sum(n13,n2)
      & n14 = sum(n13,n1)
      & n13 = sum(n13,n0)
      & n11 = sum(n12,n20)
      & n10 = sum(n12,n19)
      & n9 = sum(n12,n18)
      & n8 = sum(n12,n17)
      & n7 = sum(n12,n16)
      & n6 = sum(n12,n15)
      & n5 = sum(n12,n14)
      & n4 = sum(n12,n13)
      & n3 = sum(n12,n12)
      & n2 = sum(n12,n11)
      & n1 = sum(n12,n10)
      & n0 = sum(n12,n9)
      & n20 = sum(n12,n8)
      & n19 = sum(n12,n7)
      & n18 = sum(n12,n6)
      & n17 = sum(n12,n5)
      & n16 = sum(n12,n4)
      & n15 = sum(n12,n3)
      & n14 = sum(n12,n2)
      & n13 = sum(n12,n1)
      & n12 = sum(n12,n0)
      & n10 = sum(n11,n20)
      & n9 = sum(n11,n19)
      & n8 = sum(n11,n18)
      & n7 = sum(n11,n17)
      & n6 = sum(n11,n16)
      & n5 = sum(n11,n15)
      & n4 = sum(n11,n14)
      & n3 = sum(n11,n13)
      & n2 = sum(n11,n12)
      & n1 = sum(n11,n11)
      & n0 = sum(n11,n10)
      & n20 = sum(n11,n9)
      & n19 = sum(n11,n8)
      & n18 = sum(n11,n7)
      & n17 = sum(n11,n6)
      & n16 = sum(n11,n5)
      & n15 = sum(n11,n4)
      & n14 = sum(n11,n3)
      & n13 = sum(n11,n2)
      & n12 = sum(n11,n1)
      & n11 = sum(n11,n0)
      & n9 = sum(n10,n20)
      & n8 = sum(n10,n19)
      & n7 = sum(n10,n18)
      & n6 = sum(n10,n17)
      & n5 = sum(n10,n16)
      & n4 = sum(n10,n15)
      & n3 = sum(n10,n14)
      & n2 = sum(n10,n13)
      & n1 = sum(n10,n12)
      & n0 = sum(n10,n11)
      & n20 = sum(n10,n10)
      & n19 = sum(n10,n9)
      & n18 = sum(n10,n8)
      & n17 = sum(n10,n7)
      & n16 = sum(n10,n6)
      & n15 = sum(n10,n5)
      & n14 = sum(n10,n4)
      & n13 = sum(n10,n3)
      & n12 = sum(n10,n2)
      & n11 = sum(n10,n1)
      & n10 = sum(n10,n0)
      & n8 = sum(n9,n20)
      & n7 = sum(n9,n19)
      & n6 = sum(n9,n18)
      & n5 = sum(n9,n17)
      & n4 = sum(n9,n16)
      & n3 = sum(n9,n15)
      & n2 = sum(n9,n14)
      & n1 = sum(n9,n13)
      & n0 = sum(n9,n12)
      & n20 = sum(n9,n11)
      & n19 = sum(n9,n10)
      & n18 = sum(n9,n9)
      & n17 = sum(n9,n8)
      & n16 = sum(n9,n7)
      & n15 = sum(n9,n6)
      & n14 = sum(n9,n5)
      & n13 = sum(n9,n4)
      & n12 = sum(n9,n3)
      & n11 = sum(n9,n2)
      & n10 = sum(n9,n1)
      & n9 = sum(n9,n0)
      & n7 = sum(n8,n20)
      & n6 = sum(n8,n19)
      & n5 = sum(n8,n18)
      & n4 = sum(n8,n17)
      & n3 = sum(n8,n16)
      & n2 = sum(n8,n15)
      & n1 = sum(n8,n14)
      & n0 = sum(n8,n13)
      & n20 = sum(n8,n12)
      & n19 = sum(n8,n11)
      & n18 = sum(n8,n10)
      & n17 = sum(n8,n9)
      & n16 = sum(n8,n8)
      & n15 = sum(n8,n7)
      & n14 = sum(n8,n6)
      & n13 = sum(n8,n5)
      & n12 = sum(n8,n4)
      & n11 = sum(n8,n3)
      & n10 = sum(n8,n2)
      & n9 = sum(n8,n1)
      & n8 = sum(n8,n0)
      & n6 = sum(n7,n20)
      & n5 = sum(n7,n19)
      & n4 = sum(n7,n18)
      & n3 = sum(n7,n17)
      & n2 = sum(n7,n16)
      & n1 = sum(n7,n15)
      & n0 = sum(n7,n14)
      & n20 = sum(n7,n13)
      & n19 = sum(n7,n12)
      & n18 = sum(n7,n11)
      & n17 = sum(n7,n10)
      & n16 = sum(n7,n9)
      & n15 = sum(n7,n8)
      & n14 = sum(n7,n7)
      & n13 = sum(n7,n6)
      & n12 = sum(n7,n5)
      & n11 = sum(n7,n4)
      & n10 = sum(n7,n3)
      & n9 = sum(n7,n2)
      & n8 = sum(n7,n1)
      & n7 = sum(n7,n0)
      & n5 = sum(n6,n20)
      & n4 = sum(n6,n19)
      & n3 = sum(n6,n18)
      & n2 = sum(n6,n17)
      & n1 = sum(n6,n16)
      & n0 = sum(n6,n15)
      & n20 = sum(n6,n14)
      & n19 = sum(n6,n13)
      & n18 = sum(n6,n12)
      & n17 = sum(n6,n11)
      & n16 = sum(n6,n10)
      & n15 = sum(n6,n9)
      & n14 = sum(n6,n8)
      & n13 = sum(n6,n7)
      & n12 = sum(n6,n6)
      & n11 = sum(n6,n5)
      & n10 = sum(n6,n4)
      & n9 = sum(n6,n3)
      & n8 = sum(n6,n2)
      & n7 = sum(n6,n1)
      & n6 = sum(n6,n0)
      & n4 = sum(n5,n20)
      & n3 = sum(n5,n19)
      & n2 = sum(n5,n18)
      & n1 = sum(n5,n17)
      & n0 = sum(n5,n16)
      & n20 = sum(n5,n15)
      & n19 = sum(n5,n14)
      & n18 = sum(n5,n13)
      & n17 = sum(n5,n12)
      & n16 = sum(n5,n11)
      & n15 = sum(n5,n10)
      & n14 = sum(n5,n9)
      & n13 = sum(n5,n8)
      & n12 = sum(n5,n7)
      & n11 = sum(n5,n6)
      & n10 = sum(n5,n5)
      & n9 = sum(n5,n4)
      & n8 = sum(n5,n3)
      & n7 = sum(n5,n2)
      & n6 = sum(n5,n1)
      & n5 = sum(n5,n0)
      & n3 = sum(n4,n20)
      & n2 = sum(n4,n19)
      & n1 = sum(n4,n18)
      & n0 = sum(n4,n17)
      & n20 = sum(n4,n16)
      & n19 = sum(n4,n15)
      & n18 = sum(n4,n14)
      & n17 = sum(n4,n13)
      & n16 = sum(n4,n12)
      & n15 = sum(n4,n11)
      & n14 = sum(n4,n10)
      & n13 = sum(n4,n9)
      & n12 = sum(n4,n8)
      & n11 = sum(n4,n7)
      & n10 = sum(n4,n6)
      & n9 = sum(n4,n5)
      & n8 = sum(n4,n4)
      & n7 = sum(n4,n3)
      & n6 = sum(n4,n2)
      & n5 = sum(n4,n1)
      & n4 = sum(n4,n0)
      & n2 = sum(n3,n20)
      & n1 = sum(n3,n19)
      & n0 = sum(n3,n18)
      & n20 = sum(n3,n17)
      & n19 = sum(n3,n16)
      & n18 = sum(n3,n15)
      & n17 = sum(n3,n14)
      & n16 = sum(n3,n13)
      & n15 = sum(n3,n12)
      & n14 = sum(n3,n11)
      & n13 = sum(n3,n10)
      & n12 = sum(n3,n9)
      & n11 = sum(n3,n8)
      & n10 = sum(n3,n7)
      & n9 = sum(n3,n6)
      & n8 = sum(n3,n5)
      & n7 = sum(n3,n4)
      & n6 = sum(n3,n3)
      & n5 = sum(n3,n2)
      & n4 = sum(n3,n1)
      & n3 = sum(n3,n0)
      & n1 = sum(n2,n20)
      & n0 = sum(n2,n19)
      & n20 = sum(n2,n18)
      & n19 = sum(n2,n17)
      & n18 = sum(n2,n16)
      & n17 = sum(n2,n15)
      & n16 = sum(n2,n14)
      & n15 = sum(n2,n13)
      & n14 = sum(n2,n12)
      & n13 = sum(n2,n11)
      & n12 = sum(n2,n10)
      & n11 = sum(n2,n9)
      & n10 = sum(n2,n8)
      & n9 = sum(n2,n7)
      & n8 = sum(n2,n6)
      & n7 = sum(n2,n5)
      & n6 = sum(n2,n4)
      & n5 = sum(n2,n3)
      & n4 = sum(n2,n2)
      & n3 = sum(n2,n1)
      & n2 = sum(n2,n0)
      & n0 = sum(n1,n20)
      & n20 = sum(n1,n19)
      & n19 = sum(n1,n18)
      & n18 = sum(n1,n17)
      & n17 = sum(n1,n16)
      & n16 = sum(n1,n15)
      & n15 = sum(n1,n14)
      & n14 = sum(n1,n13)
      & n13 = sum(n1,n12)
      & n12 = sum(n1,n11)
      & n11 = sum(n1,n10)
      & n10 = sum(n1,n9)
      & n9 = sum(n1,n8)
      & n8 = sum(n1,n7)
      & n7 = sum(n1,n6)
      & n6 = sum(n1,n5)
      & n5 = sum(n1,n4)
      & n4 = sum(n1,n3)
      & n3 = sum(n1,n2)
      & n2 = sum(n1,n1)
      & n1 = sum(n1,n0)
      & n20 = sum(n0,n20)
      & n19 = sum(n0,n19)
      & n18 = sum(n0,n18)
      & n17 = sum(n0,n17)
      & n16 = sum(n0,n16)
      & n15 = sum(n0,n15)
      & n14 = sum(n0,n14)
      & n13 = sum(n0,n13)
      & n12 = sum(n0,n12)
      & n11 = sum(n0,n11)
      & n10 = sum(n0,n10)
      & n9 = sum(n0,n9)
      & n8 = sum(n0,n8)
      & n7 = sum(n0,n7)
      & n6 = sum(n0,n6)
      & n5 = sum(n0,n5)
      & n4 = sum(n0,n4)
      & n3 = sum(n0,n3)
      & n2 = sum(n0,n2)
      & n1 = sum(n0,n1)
      & n0 = sum(n0,n0)
      & n19 = pred(n20)
      & n18 = pred(n19)
      & n17 = pred(n18)
      & n16 = pred(n17)
      & n15 = pred(n16)
      & n14 = pred(n15)
      & n13 = pred(n14)
      & n12 = pred(n13)
      & n11 = pred(n12)
      & n10 = pred(n11)
      & n9 = pred(n10)
      & n8 = pred(n9)
      & n7 = pred(n8)
      & n6 = pred(n7)
      & n5 = pred(n6)
      & n4 = pred(n5)
      & n3 = pred(n4)
      & n2 = pred(n3)
      & n1 = pred(n2)
      & n0 = pred(n1)
      & n20 = pred(n0)
      & n0 = succ(n20)
      & succ(n19) = n20
      & succ(n18) = n19
      & succ(n17) = n18
      & succ(n16) = n17
      & succ(n15) = n16
      & succ(n14) = n15
      & succ(n13) = n14
      & succ(n12) = n13
      & succ(n11) = n12
      & succ(n10) = n11
      & succ(n9) = n10
      & succ(n8) = n9
      & succ(n7) = n8
      & succ(n6) = n7
      & succ(n5) = n6
      & succ(n4) = n5
      & succ(n3) = n4
      & succ(n2) = n3
      & succ(n1) = n2
      & succ(n0) = n1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

fof(f2,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88,X89,X90,X91] :
        ( n19 != n20
        & n18 != n20
        & n18 != n19
        & n17 != n20
        & n17 != n19
        & n17 != n18
        & n16 != n20
        & n16 != n19
        & n16 != n18
        & n16 != n17
        & n15 != n20
        & n15 != n19
        & n15 != n18
        & n15 != n17
        & n15 != n16
        & n14 != n20
        & n14 != n19
        & n14 != n18
        & n14 != n17
        & n14 != n16
        & n14 != n15
        & n13 != n20
        & n13 != n19
        & n13 != n18
        & n13 != n17
        & n13 != n16
        & n13 != n15
        & n13 != n14
        & n12 != n20
        & n12 != n19
        & n12 != n18
        & n12 != n17
        & n12 != n16
        & n12 != n15
        & n12 != n14
        & n12 != n13
        & n11 != n20
        & n11 != n19
        & n11 != n18
        & n11 != n17
        & n11 != n16
        & n11 != n15
        & n11 != n14
        & n11 != n13
        & n11 != n12
        & n10 != n20
        & n10 != n19
        & n10 != n18
        & n10 != n17
        & n10 != n16
        & n10 != n15
        & n10 != n14
        & n10 != n13
        & n10 != n12
        & n10 != n11
        & n9 != n20
        & n9 != n19
        & n9 != n18
        & n9 != n17
        & n9 != n16
        & n9 != n15
        & n9 != n14
        & n9 != n13
        & n9 != n12
        & n9 != n11
        & n9 != n10
        & n8 != n20
        & n8 != n19
        & n8 != n18
        & n8 != n17
        & n8 != n16
        & n8 != n15
        & n8 != n14
        & n8 != n13
        & n8 != n12
        & n8 != n11
        & n8 != n10
        & n8 != n9
        & n7 != n20
        & n7 != n19
        & n7 != n18
        & n7 != n17
        & n7 != n16
        & n7 != n15
        & n7 != n14
        & n7 != n13
        & n7 != n12
        & n7 != n11
        & n7 != n10
        & n7 != n9
        & n7 != n8
        & n6 != n20
        & n6 != n19
        & n6 != n18
        & n6 != n17
        & n6 != n16
        & n6 != n15
        & n6 != n14
        & n6 != n13
        & n6 != n12
        & n6 != n11
        & n6 != n10
        & n6 != n9
        & n6 != n8
        & n6 != n7
        & n5 != n20
        & n5 != n19
        & n5 != n18
        & n5 != n17
        & n5 != n16
        & n5 != n15
        & n5 != n14
        & n5 != n13
        & n5 != n12
        & n5 != n11
        & n5 != n10
        & n5 != n9
        & n5 != n8
        & n5 != n7
        & n5 != n6
        & n4 != n20
        & n4 != n19
        & n4 != n18
        & n4 != n17
        & n4 != n16
        & n4 != n15
        & n4 != n14
        & n4 != n13
        & n4 != n12
        & n4 != n11
        & n4 != n10
        & n4 != n9
        & n4 != n8
        & n4 != n7
        & n4 != n6
        & n4 != n5
        & n3 != n20
        & n3 != n19
        & n3 != n18
        & n3 != n17
        & n3 != n16
        & n3 != n15
        & n3 != n14
        & n3 != n13
        & n3 != n12
        & n3 != n11
        & n3 != n10
        & n3 != n9
        & n3 != n8
        & n3 != n7
        & n3 != n6
        & n3 != n5
        & n3 != n4
        & n2 != n20
        & n2 != n19
        & n2 != n18
        & n2 != n17
        & n2 != n16
        & n2 != n15
        & n2 != n14
        & n2 != n13
        & n2 != n12
        & n2 != n11
        & n2 != n10
        & n2 != n9
        & n2 != n8
        & n2 != n7
        & n2 != n6
        & n2 != n5
        & n2 != n4
        & n2 != n3
        & n1 != n20
        & n1 != n19
        & n1 != n18
        & n1 != n17
        & n1 != n16
        & n1 != n15
        & n1 != n14
        & n1 != n13
        & n1 != n12
        & n1 != n11
        & n1 != n10
        & n1 != n9
        & n1 != n8
        & n1 != n7
        & n1 != n6
        & n1 != n5
        & n1 != n4
        & n1 != n3
        & n1 != n2
        & n0 != n20
        & n0 != n19
        & n0 != n18
        & n0 != n17
        & n0 != n16
        & n0 != n15
        & n0 != n14
        & n0 != n13
        & n0 != n12
        & n0 != n11
        & n0 != n10
        & n0 != n9
        & n0 != n8
        & n0 != n7
        & n0 != n6
        & n0 != n5
        & n0 != n4
        & n0 != n3
        & n0 != n2
        & n0 != n1
        & ( X30 != X31
          | X28 != X29
          | X26 != X27
          | X24 != X25 )
        & sum(pred(X90),sum(succ(X88),sum(pred(X91),succ(X89)))) = X31
        & sum(sum(pred(X28),succ(X29)),sum(pred(X29),succ(X28))) = X30
        & sum(pred(X86),sum(succ(X84),sum(pred(X87),succ(X85)))) = X29
        & sum(sum(pred(X26),succ(X27)),sum(pred(X27),succ(X26))) = X28
        & sum(pred(X82),sum(succ(X80),sum(pred(X83),succ(X81)))) = X27
        & sum(sum(pred(X24),succ(X25)),sum(pred(X25),succ(X24))) = X26
        & sum(pred(X78),sum(succ(X76),sum(pred(X79),succ(X77)))) = X25
        & sum(sum(pred(X22),succ(X23)),sum(pred(X23),succ(X22))) = X24
        & sum(pred(X74),sum(succ(X72),sum(pred(X75),succ(X73)))) = X23
        & sum(sum(pred(X20),succ(X21)),sum(pred(X21),succ(X20))) = X22
        & sum(pred(X70),sum(succ(X68),sum(pred(X71),succ(X69)))) = X21
        & sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
        & sum(pred(X66),sum(succ(X64),sum(pred(X67),succ(X65)))) = X19
        & sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
        & sum(pred(X62),sum(succ(X60),sum(pred(X63),succ(X61)))) = X17
        & sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
        & sum(pred(X58),sum(succ(X56),sum(pred(X59),succ(X57)))) = X15
        & sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
        & sum(pred(X54),sum(succ(X52),sum(pred(X55),succ(X53)))) = X13
        & sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
        & sum(pred(X50),sum(succ(X48),sum(pred(X51),succ(X49)))) = X11
        & sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
        & sum(pred(X46),sum(succ(X44),sum(pred(X47),succ(X45)))) = X9
        & sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
        & sum(pred(X42),sum(succ(X40),sum(pred(X43),succ(X41)))) = X7
        & sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
        & sum(pred(X38),sum(succ(X36),sum(pred(X39),succ(X37)))) = X5
        & sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
        & sum(pred(X34),sum(succ(X32),sum(pred(X35),succ(X33)))) = X3
        & sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X29))))))))))))))))))))) = X91
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X29))))))))))))))))))))) = X89
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X28))))))))))))))))))))) = X90
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X28))))))))))))))))))))) = X88
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X27))))))))))))))))))))) = X87
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X27))))))))))))))))))))) = X85
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X26))))))))))))))))))))) = X86
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X26))))))))))))))))))))) = X84
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X25))))))))))))))))))))) = X83
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X25))))))))))))))))))))) = X81
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X24))))))))))))))))))))) = X82
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X24))))))))))))))))))))) = X80
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X23))))))))))))))))))))) = X79
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X23))))))))))))))))))))) = X77
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X22))))))))))))))))))))) = X78
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X22))))))))))))))))))))) = X76
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X21))))))))))))))))))))) = X75
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X21))))))))))))))))))))) = X73
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X20))))))))))))))))))))) = X74
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X20))))))))))))))))))))) = X72
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19))))))))))))))))))))) = X71
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19))))))))))))))))))))) = X69
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18))))))))))))))))))))) = X70
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18))))))))))))))))))))) = X68
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17))))))))))))))))))))) = X67
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17))))))))))))))))))))) = X65
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16))))))))))))))))))))) = X66
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16))))))))))))))))))))) = X64
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15))))))))))))))))))))) = X63
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15))))))))))))))))))))) = X61
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14))))))))))))))))))))) = X62
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14))))))))))))))))))))) = X60
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13))))))))))))))))))))) = X59
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13))))))))))))))))))))) = X57
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12))))))))))))))))))))) = X58
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12))))))))))))))))))))) = X56
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11))))))))))))))))))))) = X55
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11))))))))))))))))))))) = X53
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10))))))))))))))))))))) = X54
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10))))))))))))))))))))) = X52
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9))))))))))))))))))))) = X51
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9))))))))))))))))))))) = X49
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8))))))))))))))))))))) = X50
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8))))))))))))))))))))) = X48
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7))))))))))))))))))))) = X47
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7))))))))))))))))))))) = X45
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6))))))))))))))))))))) = X46
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6))))))))))))))))))))) = X44
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5))))))))))))))))))))) = X43
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5))))))))))))))))))))) = X41
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4))))))))))))))))))))) = X42
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4))))))))))))))))))))) = X40
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3))))))))))))))))))))) = X39
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3))))))))))))))))))))) = X37
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2))))))))))))))))))))) = X38
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2))))))))))))))))))))) = X36
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1))))))))))))))))))))) = X35
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1))))))))))))))))))))) = X33
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0))))))))))))))))))))) = X34
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0))))))))))))))))))))) = X32
        & ( n20 = X1
          | n19 = X1
          | n18 = X1
          | n17 = X1
          | n16 = X1
          | n15 = X1
          | n14 = X1
          | n13 = X1
          | n12 = X1
          | n11 = X1
          | n10 = X1
          | n9 = X1
          | n8 = X1
          | n7 = X1
          | n6 = X1
          | n5 = X1
          | n4 = X1
          | n3 = X1
          | n2 = X1
          | n1 = X1
          | n0 = X1 )
        & ( n20 = X0
          | n19 = X0
          | n18 = X0
          | n17 = X0
          | n16 = X0
          | n15 = X0
          | n14 = X0
          | n13 = X0
          | n12 = X0
          | n11 = X0
          | n10 = X0
          | n9 = X0
          | n8 = X0
          | n7 = X0
          | n6 = X0
          | n5 = X0
          | n4 = X0
          | n3 = X0
          | n2 = X0
          | n1 = X0
          | n0 = X0 )
        & n19 = sum(n20,n20)
        & n18 = sum(n20,n19)
        & n17 = sum(n20,n18)
        & n16 = sum(n20,n17)
        & n15 = sum(n20,n16)
        & n14 = sum(n20,n15)
        & n13 = sum(n20,n14)
        & n12 = sum(n20,n13)
        & n11 = sum(n20,n12)
        & n10 = sum(n20,n11)
        & n9 = sum(n20,n10)
        & n8 = sum(n20,n9)
        & n7 = sum(n20,n8)
        & n6 = sum(n20,n7)
        & n5 = sum(n20,n6)
        & n4 = sum(n20,n5)
        & n3 = sum(n20,n4)
        & n2 = sum(n20,n3)
        & n1 = sum(n20,n2)
        & n0 = sum(n20,n1)
        & n20 = sum(n20,n0)
        & n18 = sum(n19,n20)
        & n17 = sum(n19,n19)
        & n16 = sum(n19,n18)
        & n15 = sum(n19,n17)
        & n14 = sum(n19,n16)
        & n13 = sum(n19,n15)
        & n12 = sum(n19,n14)
        & n11 = sum(n19,n13)
        & n10 = sum(n19,n12)
        & n9 = sum(n19,n11)
        & n8 = sum(n19,n10)
        & n7 = sum(n19,n9)
        & n6 = sum(n19,n8)
        & n5 = sum(n19,n7)
        & n4 = sum(n19,n6)
        & n3 = sum(n19,n5)
        & n2 = sum(n19,n4)
        & n1 = sum(n19,n3)
        & n0 = sum(n19,n2)
        & n20 = sum(n19,n1)
        & n19 = sum(n19,n0)
        & n17 = sum(n18,n20)
        & n16 = sum(n18,n19)
        & n15 = sum(n18,n18)
        & n14 = sum(n18,n17)
        & n13 = sum(n18,n16)
        & n12 = sum(n18,n15)
        & n11 = sum(n18,n14)
        & n10 = sum(n18,n13)
        & n9 = sum(n18,n12)
        & n8 = sum(n18,n11)
        & n7 = sum(n18,n10)
        & n6 = sum(n18,n9)
        & n5 = sum(n18,n8)
        & n4 = sum(n18,n7)
        & n3 = sum(n18,n6)
        & n2 = sum(n18,n5)
        & n1 = sum(n18,n4)
        & n0 = sum(n18,n3)
        & n20 = sum(n18,n2)
        & n19 = sum(n18,n1)
        & n18 = sum(n18,n0)
        & n16 = sum(n17,n20)
        & n15 = sum(n17,n19)
        & n14 = sum(n17,n18)
        & n13 = sum(n17,n17)
        & n12 = sum(n17,n16)
        & n11 = sum(n17,n15)
        & n10 = sum(n17,n14)
        & n9 = sum(n17,n13)
        & n8 = sum(n17,n12)
        & n7 = sum(n17,n11)
        & n6 = sum(n17,n10)
        & n5 = sum(n17,n9)
        & n4 = sum(n17,n8)
        & n3 = sum(n17,n7)
        & n2 = sum(n17,n6)
        & n1 = sum(n17,n5)
        & n0 = sum(n17,n4)
        & n20 = sum(n17,n3)
        & n19 = sum(n17,n2)
        & n18 = sum(n17,n1)
        & n17 = sum(n17,n0)
        & n15 = sum(n16,n20)
        & n14 = sum(n16,n19)
        & n13 = sum(n16,n18)
        & n12 = sum(n16,n17)
        & n11 = sum(n16,n16)
        & n10 = sum(n16,n15)
        & n9 = sum(n16,n14)
        & n8 = sum(n16,n13)
        & n7 = sum(n16,n12)
        & n6 = sum(n16,n11)
        & n5 = sum(n16,n10)
        & n4 = sum(n16,n9)
        & n3 = sum(n16,n8)
        & n2 = sum(n16,n7)
        & n1 = sum(n16,n6)
        & n0 = sum(n16,n5)
        & n20 = sum(n16,n4)
        & n19 = sum(n16,n3)
        & n18 = sum(n16,n2)
        & n17 = sum(n16,n1)
        & n16 = sum(n16,n0)
        & n14 = sum(n15,n20)
        & n13 = sum(n15,n19)
        & n12 = sum(n15,n18)
        & n11 = sum(n15,n17)
        & n10 = sum(n15,n16)
        & n9 = sum(n15,n15)
        & n8 = sum(n15,n14)
        & n7 = sum(n15,n13)
        & n6 = sum(n15,n12)
        & n5 = sum(n15,n11)
        & n4 = sum(n15,n10)
        & n3 = sum(n15,n9)
        & n2 = sum(n15,n8)
        & n1 = sum(n15,n7)
        & n0 = sum(n15,n6)
        & n20 = sum(n15,n5)
        & n19 = sum(n15,n4)
        & n18 = sum(n15,n3)
        & n17 = sum(n15,n2)
        & n16 = sum(n15,n1)
        & n15 = sum(n15,n0)
        & n13 = sum(n14,n20)
        & n12 = sum(n14,n19)
        & n11 = sum(n14,n18)
        & n10 = sum(n14,n17)
        & n9 = sum(n14,n16)
        & n8 = sum(n14,n15)
        & n7 = sum(n14,n14)
        & n6 = sum(n14,n13)
        & n5 = sum(n14,n12)
        & n4 = sum(n14,n11)
        & n3 = sum(n14,n10)
        & n2 = sum(n14,n9)
        & n1 = sum(n14,n8)
        & n0 = sum(n14,n7)
        & n20 = sum(n14,n6)
        & n19 = sum(n14,n5)
        & n18 = sum(n14,n4)
        & n17 = sum(n14,n3)
        & n16 = sum(n14,n2)
        & n15 = sum(n14,n1)
        & n14 = sum(n14,n0)
        & n12 = sum(n13,n20)
        & n11 = sum(n13,n19)
        & n10 = sum(n13,n18)
        & n9 = sum(n13,n17)
        & n8 = sum(n13,n16)
        & n7 = sum(n13,n15)
        & n6 = sum(n13,n14)
        & n5 = sum(n13,n13)
        & n4 = sum(n13,n12)
        & n3 = sum(n13,n11)
        & n2 = sum(n13,n10)
        & n1 = sum(n13,n9)
        & n0 = sum(n13,n8)
        & n20 = sum(n13,n7)
        & n19 = sum(n13,n6)
        & n18 = sum(n13,n5)
        & n17 = sum(n13,n4)
        & n16 = sum(n13,n3)
        & n15 = sum(n13,n2)
        & n14 = sum(n13,n1)
        & n13 = sum(n13,n0)
        & n11 = sum(n12,n20)
        & n10 = sum(n12,n19)
        & n9 = sum(n12,n18)
        & n8 = sum(n12,n17)
        & n7 = sum(n12,n16)
        & n6 = sum(n12,n15)
        & n5 = sum(n12,n14)
        & n4 = sum(n12,n13)
        & n3 = sum(n12,n12)
        & n2 = sum(n12,n11)
        & n1 = sum(n12,n10)
        & n0 = sum(n12,n9)
        & n20 = sum(n12,n8)
        & n19 = sum(n12,n7)
        & n18 = sum(n12,n6)
        & n17 = sum(n12,n5)
        & n16 = sum(n12,n4)
        & n15 = sum(n12,n3)
        & n14 = sum(n12,n2)
        & n13 = sum(n12,n1)
        & n12 = sum(n12,n0)
        & n10 = sum(n11,n20)
        & n9 = sum(n11,n19)
        & n8 = sum(n11,n18)
        & n7 = sum(n11,n17)
        & n6 = sum(n11,n16)
        & n5 = sum(n11,n15)
        & n4 = sum(n11,n14)
        & n3 = sum(n11,n13)
        & n2 = sum(n11,n12)
        & n1 = sum(n11,n11)
        & n0 = sum(n11,n10)
        & n20 = sum(n11,n9)
        & n19 = sum(n11,n8)
        & n18 = sum(n11,n7)
        & n17 = sum(n11,n6)
        & n16 = sum(n11,n5)
        & n15 = sum(n11,n4)
        & n14 = sum(n11,n3)
        & n13 = sum(n11,n2)
        & n12 = sum(n11,n1)
        & n11 = sum(n11,n0)
        & n9 = sum(n10,n20)
        & n8 = sum(n10,n19)
        & n7 = sum(n10,n18)
        & n6 = sum(n10,n17)
        & n5 = sum(n10,n16)
        & n4 = sum(n10,n15)
        & n3 = sum(n10,n14)
        & n2 = sum(n10,n13)
        & n1 = sum(n10,n12)
        & n0 = sum(n10,n11)
        & n20 = sum(n10,n10)
        & n19 = sum(n10,n9)
        & n18 = sum(n10,n8)
        & n17 = sum(n10,n7)
        & n16 = sum(n10,n6)
        & n15 = sum(n10,n5)
        & n14 = sum(n10,n4)
        & n13 = sum(n10,n3)
        & n12 = sum(n10,n2)
        & n11 = sum(n10,n1)
        & n10 = sum(n10,n0)
        & n8 = sum(n9,n20)
        & n7 = sum(n9,n19)
        & n6 = sum(n9,n18)
        & n5 = sum(n9,n17)
        & n4 = sum(n9,n16)
        & n3 = sum(n9,n15)
        & n2 = sum(n9,n14)
        & n1 = sum(n9,n13)
        & n0 = sum(n9,n12)
        & n20 = sum(n9,n11)
        & n19 = sum(n9,n10)
        & n18 = sum(n9,n9)
        & n17 = sum(n9,n8)
        & n16 = sum(n9,n7)
        & n15 = sum(n9,n6)
        & n14 = sum(n9,n5)
        & n13 = sum(n9,n4)
        & n12 = sum(n9,n3)
        & n11 = sum(n9,n2)
        & n10 = sum(n9,n1)
        & n9 = sum(n9,n0)
        & n7 = sum(n8,n20)
        & n6 = sum(n8,n19)
        & n5 = sum(n8,n18)
        & n4 = sum(n8,n17)
        & n3 = sum(n8,n16)
        & n2 = sum(n8,n15)
        & n1 = sum(n8,n14)
        & n0 = sum(n8,n13)
        & n20 = sum(n8,n12)
        & n19 = sum(n8,n11)
        & n18 = sum(n8,n10)
        & n17 = sum(n8,n9)
        & n16 = sum(n8,n8)
        & n15 = sum(n8,n7)
        & n14 = sum(n8,n6)
        & n13 = sum(n8,n5)
        & n12 = sum(n8,n4)
        & n11 = sum(n8,n3)
        & n10 = sum(n8,n2)
        & n9 = sum(n8,n1)
        & n8 = sum(n8,n0)
        & n6 = sum(n7,n20)
        & n5 = sum(n7,n19)
        & n4 = sum(n7,n18)
        & n3 = sum(n7,n17)
        & n2 = sum(n7,n16)
        & n1 = sum(n7,n15)
        & n0 = sum(n7,n14)
        & n20 = sum(n7,n13)
        & n19 = sum(n7,n12)
        & n18 = sum(n7,n11)
        & n17 = sum(n7,n10)
        & n16 = sum(n7,n9)
        & n15 = sum(n7,n8)
        & n14 = sum(n7,n7)
        & n13 = sum(n7,n6)
        & n12 = sum(n7,n5)
        & n11 = sum(n7,n4)
        & n10 = sum(n7,n3)
        & n9 = sum(n7,n2)
        & n8 = sum(n7,n1)
        & n7 = sum(n7,n0)
        & n5 = sum(n6,n20)
        & n4 = sum(n6,n19)
        & n3 = sum(n6,n18)
        & n2 = sum(n6,n17)
        & n1 = sum(n6,n16)
        & n0 = sum(n6,n15)
        & n20 = sum(n6,n14)
        & n19 = sum(n6,n13)
        & n18 = sum(n6,n12)
        & n17 = sum(n6,n11)
        & n16 = sum(n6,n10)
        & n15 = sum(n6,n9)
        & n14 = sum(n6,n8)
        & n13 = sum(n6,n7)
        & n12 = sum(n6,n6)
        & n11 = sum(n6,n5)
        & n10 = sum(n6,n4)
        & n9 = sum(n6,n3)
        & n8 = sum(n6,n2)
        & n7 = sum(n6,n1)
        & n6 = sum(n6,n0)
        & n4 = sum(n5,n20)
        & n3 = sum(n5,n19)
        & n2 = sum(n5,n18)
        & n1 = sum(n5,n17)
        & n0 = sum(n5,n16)
        & n20 = sum(n5,n15)
        & n19 = sum(n5,n14)
        & n18 = sum(n5,n13)
        & n17 = sum(n5,n12)
        & n16 = sum(n5,n11)
        & n15 = sum(n5,n10)
        & n14 = sum(n5,n9)
        & n13 = sum(n5,n8)
        & n12 = sum(n5,n7)
        & n11 = sum(n5,n6)
        & n10 = sum(n5,n5)
        & n9 = sum(n5,n4)
        & n8 = sum(n5,n3)
        & n7 = sum(n5,n2)
        & n6 = sum(n5,n1)
        & n5 = sum(n5,n0)
        & n3 = sum(n4,n20)
        & n2 = sum(n4,n19)
        & n1 = sum(n4,n18)
        & n0 = sum(n4,n17)
        & n20 = sum(n4,n16)
        & n19 = sum(n4,n15)
        & n18 = sum(n4,n14)
        & n17 = sum(n4,n13)
        & n16 = sum(n4,n12)
        & n15 = sum(n4,n11)
        & n14 = sum(n4,n10)
        & n13 = sum(n4,n9)
        & n12 = sum(n4,n8)
        & n11 = sum(n4,n7)
        & n10 = sum(n4,n6)
        & n9 = sum(n4,n5)
        & n8 = sum(n4,n4)
        & n7 = sum(n4,n3)
        & n6 = sum(n4,n2)
        & n5 = sum(n4,n1)
        & n4 = sum(n4,n0)
        & n2 = sum(n3,n20)
        & n1 = sum(n3,n19)
        & n0 = sum(n3,n18)
        & n20 = sum(n3,n17)
        & n19 = sum(n3,n16)
        & n18 = sum(n3,n15)
        & n17 = sum(n3,n14)
        & n16 = sum(n3,n13)
        & n15 = sum(n3,n12)
        & n14 = sum(n3,n11)
        & n13 = sum(n3,n10)
        & n12 = sum(n3,n9)
        & n11 = sum(n3,n8)
        & n10 = sum(n3,n7)
        & n9 = sum(n3,n6)
        & n8 = sum(n3,n5)
        & n7 = sum(n3,n4)
        & n6 = sum(n3,n3)
        & n5 = sum(n3,n2)
        & n4 = sum(n3,n1)
        & n3 = sum(n3,n0)
        & n1 = sum(n2,n20)
        & n0 = sum(n2,n19)
        & n20 = sum(n2,n18)
        & n19 = sum(n2,n17)
        & n18 = sum(n2,n16)
        & n17 = sum(n2,n15)
        & n16 = sum(n2,n14)
        & n15 = sum(n2,n13)
        & n14 = sum(n2,n12)
        & n13 = sum(n2,n11)
        & n12 = sum(n2,n10)
        & n11 = sum(n2,n9)
        & n10 = sum(n2,n8)
        & n9 = sum(n2,n7)
        & n8 = sum(n2,n6)
        & n7 = sum(n2,n5)
        & n6 = sum(n2,n4)
        & n5 = sum(n2,n3)
        & n4 = sum(n2,n2)
        & n3 = sum(n2,n1)
        & n2 = sum(n2,n0)
        & n0 = sum(n1,n20)
        & n20 = sum(n1,n19)
        & n19 = sum(n1,n18)
        & n18 = sum(n1,n17)
        & n17 = sum(n1,n16)
        & n16 = sum(n1,n15)
        & n15 = sum(n1,n14)
        & n14 = sum(n1,n13)
        & n13 = sum(n1,n12)
        & n12 = sum(n1,n11)
        & n11 = sum(n1,n10)
        & n10 = sum(n1,n9)
        & n9 = sum(n1,n8)
        & n8 = sum(n1,n7)
        & n7 = sum(n1,n6)
        & n6 = sum(n1,n5)
        & n5 = sum(n1,n4)
        & n4 = sum(n1,n3)
        & n3 = sum(n1,n2)
        & n2 = sum(n1,n1)
        & n1 = sum(n1,n0)
        & n20 = sum(n0,n20)
        & n19 = sum(n0,n19)
        & n18 = sum(n0,n18)
        & n17 = sum(n0,n17)
        & n16 = sum(n0,n16)
        & n15 = sum(n0,n15)
        & n14 = sum(n0,n14)
        & n13 = sum(n0,n13)
        & n12 = sum(n0,n12)
        & n11 = sum(n0,n11)
        & n10 = sum(n0,n10)
        & n9 = sum(n0,n9)
        & n8 = sum(n0,n8)
        & n7 = sum(n0,n7)
        & n6 = sum(n0,n6)
        & n5 = sum(n0,n5)
        & n4 = sum(n0,n4)
        & n3 = sum(n0,n3)
        & n2 = sum(n0,n2)
        & n1 = sum(n0,n1)
        & n0 = sum(n0,n0)
        & n19 = pred(n20)
        & n18 = pred(n19)
        & n17 = pred(n18)
        & n16 = pred(n17)
        & n15 = pred(n16)
        & n14 = pred(n15)
        & n13 = pred(n14)
        & n12 = pred(n13)
        & n11 = pred(n12)
        & n10 = pred(n11)
        & n9 = pred(n10)
        & n8 = pred(n9)
        & n7 = pred(n8)
        & n6 = pred(n7)
        & n5 = pred(n6)
        & n4 = pred(n5)
        & n3 = pred(n4)
        & n2 = pred(n3)
        & n1 = pred(n2)
        & n0 = pred(n1)
        & n20 = pred(n0)
        & n0 = succ(n20)
        & succ(n19) = n20
        & succ(n18) = n19
        & succ(n17) = n18
        & succ(n16) = n17
        & succ(n15) = n16
        & succ(n14) = n15
        & succ(n13) = n14
        & succ(n12) = n13
        & succ(n11) = n12
        & succ(n10) = n11
        & succ(n9) = n10
        & succ(n8) = n9
        & succ(n7) = n8
        & succ(n6) = n7
        & succ(n5) = n6
        & succ(n4) = n5
        & succ(n3) = n4
        & succ(n2) = n3
        & succ(n1) = n2
        & succ(n0) = n1 )
   => ( n19 != n20
      & n18 != n20
      & n18 != n19
      & n17 != n20
      & n17 != n19
      & n17 != n18
      & n16 != n20
      & n16 != n19
      & n16 != n18
      & n16 != n17
      & n15 != n20
      & n15 != n19
      & n15 != n18
      & n15 != n17
      & n15 != n16
      & n14 != n20
      & n14 != n19
      & n14 != n18
      & n14 != n17
      & n14 != n16
      & n14 != n15
      & n13 != n20
      & n13 != n19
      & n13 != n18
      & n13 != n17
      & n13 != n16
      & n13 != n15
      & n13 != n14
      & n12 != n20
      & n12 != n19
      & n12 != n18
      & n12 != n17
      & n12 != n16
      & n12 != n15
      & n12 != n14
      & n12 != n13
      & n11 != n20
      & n11 != n19
      & n11 != n18
      & n11 != n17
      & n11 != n16
      & n11 != n15
      & n11 != n14
      & n11 != n13
      & n11 != n12
      & n10 != n20
      & n10 != n19
      & n10 != n18
      & n10 != n17
      & n10 != n16
      & n10 != n15
      & n10 != n14
      & n10 != n13
      & n10 != n12
      & n10 != n11
      & n9 != n20
      & n9 != n19
      & n9 != n18
      & n9 != n17
      & n9 != n16
      & n9 != n15
      & n9 != n14
      & n9 != n13
      & n9 != n12
      & n9 != n11
      & n9 != n10
      & n8 != n20
      & n8 != n19
      & n8 != n18
      & n8 != n17
      & n8 != n16
      & n8 != n15
      & n8 != n14
      & n8 != n13
      & n8 != n12
      & n8 != n11
      & n8 != n10
      & n8 != n9
      & n7 != n20
      & n7 != n19
      & n7 != n18
      & n7 != n17
      & n7 != n16
      & n7 != n15
      & n7 != n14
      & n7 != n13
      & n7 != n12
      & n7 != n11
      & n7 != n10
      & n7 != n9
      & n7 != n8
      & n6 != n20
      & n6 != n19
      & n6 != n18
      & n6 != n17
      & n6 != n16
      & n6 != n15
      & n6 != n14
      & n6 != n13
      & n6 != n12
      & n6 != n11
      & n6 != n10
      & n6 != n9
      & n6 != n8
      & n6 != n7
      & n5 != n20
      & n5 != n19
      & n5 != n18
      & n5 != n17
      & n5 != n16
      & n5 != n15
      & n5 != n14
      & n5 != n13
      & n5 != n12
      & n5 != n11
      & n5 != n10
      & n5 != n9
      & n5 != n8
      & n5 != n7
      & n5 != n6
      & n4 != n20
      & n4 != n19
      & n4 != n18
      & n4 != n17
      & n4 != n16
      & n4 != n15
      & n4 != n14
      & n4 != n13
      & n4 != n12
      & n4 != n11
      & n4 != n10
      & n4 != n9
      & n4 != n8
      & n4 != n7
      & n4 != n6
      & n4 != n5
      & n3 != n20
      & n3 != n19
      & n3 != n18
      & n3 != n17
      & n3 != n16
      & n3 != n15
      & n3 != n14
      & n3 != n13
      & n3 != n12
      & n3 != n11
      & n3 != n10
      & n3 != n9
      & n3 != n8
      & n3 != n7
      & n3 != n6
      & n3 != n5
      & n3 != n4
      & n2 != n20
      & n2 != n19
      & n2 != n18
      & n2 != n17
      & n2 != n16
      & n2 != n15
      & n2 != n14
      & n2 != n13
      & n2 != n12
      & n2 != n11
      & n2 != n10
      & n2 != n9
      & n2 != n8
      & n2 != n7
      & n2 != n6
      & n2 != n5
      & n2 != n4
      & n2 != n3
      & n1 != n20
      & n1 != n19
      & n1 != n18
      & n1 != n17
      & n1 != n16
      & n1 != n15
      & n1 != n14
      & n1 != n13
      & n1 != n12
      & n1 != n11
      & n1 != n10
      & n1 != n9
      & n1 != n8
      & n1 != n7
      & n1 != n6
      & n1 != n5
      & n1 != n4
      & n1 != n3
      & n1 != n2
      & n0 != n20
      & n0 != n19
      & n0 != n18
      & n0 != n17
      & n0 != n16
      & n0 != n15
      & n0 != n14
      & n0 != n13
      & n0 != n12
      & n0 != n11
      & n0 != n10
      & n0 != n9
      & n0 != n8
      & n0 != n7
      & n0 != n6
      & n0 != n5
      & n0 != n4
      & n0 != n3
      & n0 != n2
      & n0 != n1
      & ( sK30 != sK31
        | sK28 != sK29
        | sK26 != sK27
        | sK24 != sK25 )
      & sK31 = sum(pred(sK90),sum(succ(sK88),sum(pred(sK91),succ(sK89))))
      & sK30 = sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28)))
      & sK29 = sum(pred(sK86),sum(succ(sK84),sum(pred(sK87),succ(sK85))))
      & sK28 = sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26)))
      & sK27 = sum(pred(sK82),sum(succ(sK80),sum(pred(sK83),succ(sK81))))
      & sK26 = sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24)))
      & sK25 = sum(pred(sK78),sum(succ(sK76),sum(pred(sK79),succ(sK77))))
      & sK24 = sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22)))
      & sK23 = sum(pred(sK74),sum(succ(sK72),sum(pred(sK75),succ(sK73))))
      & sK22 = sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20)))
      & sK21 = sum(pred(sK70),sum(succ(sK68),sum(pred(sK71),succ(sK69))))
      & sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18)))
      & sK19 = sum(pred(sK66),sum(succ(sK64),sum(pred(sK67),succ(sK65))))
      & sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16)))
      & sK17 = sum(pred(sK62),sum(succ(sK60),sum(pred(sK63),succ(sK61))))
      & sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14)))
      & sK15 = sum(pred(sK58),sum(succ(sK56),sum(pred(sK59),succ(sK57))))
      & sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12)))
      & sK13 = sum(pred(sK54),sum(succ(sK52),sum(pred(sK55),succ(sK53))))
      & sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10)))
      & sK11 = sum(pred(sK50),sum(succ(sK48),sum(pred(sK51),succ(sK49))))
      & sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8)))
      & sK9 = sum(pred(sK46),sum(succ(sK44),sum(pred(sK47),succ(sK45))))
      & sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6)))
      & sK7 = sum(pred(sK42),sum(succ(sK40),sum(pred(sK43),succ(sK41))))
      & sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4)))
      & sK5 = sum(pred(sK38),sum(succ(sK36),sum(pred(sK39),succ(sK37))))
      & sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2)))
      & sK3 = sum(pred(sK34),sum(succ(sK32),sum(pred(sK35),succ(sK33))))
      & sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))
      & sK91 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK29)))))))))))))))))))))
      & sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK29)))))))))))))))))))))
      & sK90 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28)))))))))))))))))))))
      & sK88 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28)))))))))))))))))))))
      & sK87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27)))))))))))))))))))))
      & sK85 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27)))))))))))))))))))))
      & sK86 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26)))))))))))))))))))))
      & sK84 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26)))))))))))))))))))))
      & sK83 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25)))))))))))))))))))))
      & sK81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25)))))))))))))))))))))
      & sK82 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24)))))))))))))))))))))
      & sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24)))))))))))))))))))))
      & sK79 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23)))))))))))))))))))))
      & sK77 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23)))))))))))))))))))))
      & sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22)))))))))))))))))))))
      & sK76 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22)))))))))))))))))))))
      & sK75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21)))))))))))))))))))))
      & sK73 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21)))))))))))))))))))))
      & sK74 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20)))))))))))))))))))))
      & sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20)))))))))))))))))))))
      & sK71 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19)))))))))))))))))))))
      & sK69 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19)))))))))))))))))))))
      & sK70 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18)))))))))))))))))))))
      & sK68 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18)))))))))))))))))))))
      & sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17)))))))))))))))))))))
      & sK65 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17)))))))))))))))))))))
      & sK66 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))))))))))))
      & sK64 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))))))))))))
      & sK63 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))))))))))))
      & sK61 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))))))))))))
      & sK62 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))))))))))))
      & sK60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))))))))))))
      & sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))))))))))))
      & sK57 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13)))))))))))))))))))))
      & sK58 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12)))))))))))))))))))))
      & sK56 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12)))))))))))))))))))))
      & sK55 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11)))))))))))))))))))))
      & sK53 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11)))))))))))))))))))))
      & sK54 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10)))))))))))))))))))))
      & sK52 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10)))))))))))))))))))))
      & sK51 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9)))))))))))))))))))))
      & sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9)))))))))))))))))))))
      & sK50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8)))))))))))))))))))))
      & sK48 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8)))))))))))))))))))))
      & sK47 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7)))))))))))))))))))))
      & sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7)))))))))))))))))))))
      & sK46 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))))))))
      & sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))))))))))))
      & sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5)))))))))))))))))))))
      & sK41 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5)))))))))))))))))))))
      & sK42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4)))))))))))))))))))))
      & sK40 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4)))))))))))))))))))))
      & sK39 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))))))))))))
      & sK37 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3)))))))))))))))))))))
      & sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2)))))))))))))))))))))
      & sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2)))))))))))))))))))))
      & sK35 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1)))))))))))))))))))))
      & sK33 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1)))))))))))))))))))))
      & sK34 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0)))))))))))))))))))))
      & sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0)))))))))))))))))))))
      & ( n20 = sK1
        | n19 = sK1
        | n18 = sK1
        | n17 = sK1
        | n16 = sK1
        | n15 = sK1
        | n14 = sK1
        | n13 = sK1
        | n12 = sK1
        | n11 = sK1
        | n10 = sK1
        | n9 = sK1
        | n8 = sK1
        | n7 = sK1
        | n6 = sK1
        | n5 = sK1
        | n4 = sK1
        | n3 = sK1
        | n2 = sK1
        | n1 = sK1
        | n0 = sK1 )
      & ( n20 = sK0
        | n19 = sK0
        | n18 = sK0
        | n17 = sK0
        | n16 = sK0
        | n15 = sK0
        | n14 = sK0
        | n13 = sK0
        | n12 = sK0
        | n11 = sK0
        | n10 = sK0
        | n9 = sK0
        | n8 = sK0
        | n7 = sK0
        | n6 = sK0
        | n5 = sK0
        | n4 = sK0
        | n3 = sK0
        | n2 = sK0
        | n1 = sK0
        | n0 = sK0 )
      & n19 = sum(n20,n20)
      & n18 = sum(n20,n19)
      & n17 = sum(n20,n18)
      & n16 = sum(n20,n17)
      & n15 = sum(n20,n16)
      & n14 = sum(n20,n15)
      & n13 = sum(n20,n14)
      & n12 = sum(n20,n13)
      & n11 = sum(n20,n12)
      & n10 = sum(n20,n11)
      & n9 = sum(n20,n10)
      & n8 = sum(n20,n9)
      & n7 = sum(n20,n8)
      & n6 = sum(n20,n7)
      & n5 = sum(n20,n6)
      & n4 = sum(n20,n5)
      & n3 = sum(n20,n4)
      & n2 = sum(n20,n3)
      & n1 = sum(n20,n2)
      & n0 = sum(n20,n1)
      & n20 = sum(n20,n0)
      & n18 = sum(n19,n20)
      & n17 = sum(n19,n19)
      & n16 = sum(n19,n18)
      & n15 = sum(n19,n17)
      & n14 = sum(n19,n16)
      & n13 = sum(n19,n15)
      & n12 = sum(n19,n14)
      & n11 = sum(n19,n13)
      & n10 = sum(n19,n12)
      & n9 = sum(n19,n11)
      & n8 = sum(n19,n10)
      & n7 = sum(n19,n9)
      & n6 = sum(n19,n8)
      & n5 = sum(n19,n7)
      & n4 = sum(n19,n6)
      & n3 = sum(n19,n5)
      & n2 = sum(n19,n4)
      & n1 = sum(n19,n3)
      & n0 = sum(n19,n2)
      & n20 = sum(n19,n1)
      & n19 = sum(n19,n0)
      & n17 = sum(n18,n20)
      & n16 = sum(n18,n19)
      & n15 = sum(n18,n18)
      & n14 = sum(n18,n17)
      & n13 = sum(n18,n16)
      & n12 = sum(n18,n15)
      & n11 = sum(n18,n14)
      & n10 = sum(n18,n13)
      & n9 = sum(n18,n12)
      & n8 = sum(n18,n11)
      & n7 = sum(n18,n10)
      & n6 = sum(n18,n9)
      & n5 = sum(n18,n8)
      & n4 = sum(n18,n7)
      & n3 = sum(n18,n6)
      & n2 = sum(n18,n5)
      & n1 = sum(n18,n4)
      & n0 = sum(n18,n3)
      & n20 = sum(n18,n2)
      & n19 = sum(n18,n1)
      & n18 = sum(n18,n0)
      & n16 = sum(n17,n20)
      & n15 = sum(n17,n19)
      & n14 = sum(n17,n18)
      & n13 = sum(n17,n17)
      & n12 = sum(n17,n16)
      & n11 = sum(n17,n15)
      & n10 = sum(n17,n14)
      & n9 = sum(n17,n13)
      & n8 = sum(n17,n12)
      & n7 = sum(n17,n11)
      & n6 = sum(n17,n10)
      & n5 = sum(n17,n9)
      & n4 = sum(n17,n8)
      & n3 = sum(n17,n7)
      & n2 = sum(n17,n6)
      & n1 = sum(n17,n5)
      & n0 = sum(n17,n4)
      & n20 = sum(n17,n3)
      & n19 = sum(n17,n2)
      & n18 = sum(n17,n1)
      & n17 = sum(n17,n0)
      & n15 = sum(n16,n20)
      & n14 = sum(n16,n19)
      & n13 = sum(n16,n18)
      & n12 = sum(n16,n17)
      & n11 = sum(n16,n16)
      & n10 = sum(n16,n15)
      & n9 = sum(n16,n14)
      & n8 = sum(n16,n13)
      & n7 = sum(n16,n12)
      & n6 = sum(n16,n11)
      & n5 = sum(n16,n10)
      & n4 = sum(n16,n9)
      & n3 = sum(n16,n8)
      & n2 = sum(n16,n7)
      & n1 = sum(n16,n6)
      & n0 = sum(n16,n5)
      & n20 = sum(n16,n4)
      & n19 = sum(n16,n3)
      & n18 = sum(n16,n2)
      & n17 = sum(n16,n1)
      & n16 = sum(n16,n0)
      & n14 = sum(n15,n20)
      & n13 = sum(n15,n19)
      & n12 = sum(n15,n18)
      & n11 = sum(n15,n17)
      & n10 = sum(n15,n16)
      & n9 = sum(n15,n15)
      & n8 = sum(n15,n14)
      & n7 = sum(n15,n13)
      & n6 = sum(n15,n12)
      & n5 = sum(n15,n11)
      & n4 = sum(n15,n10)
      & n3 = sum(n15,n9)
      & n2 = sum(n15,n8)
      & n1 = sum(n15,n7)
      & n0 = sum(n15,n6)
      & n20 = sum(n15,n5)
      & n19 = sum(n15,n4)
      & n18 = sum(n15,n3)
      & n17 = sum(n15,n2)
      & n16 = sum(n15,n1)
      & n15 = sum(n15,n0)
      & n13 = sum(n14,n20)
      & n12 = sum(n14,n19)
      & n11 = sum(n14,n18)
      & n10 = sum(n14,n17)
      & n9 = sum(n14,n16)
      & n8 = sum(n14,n15)
      & n7 = sum(n14,n14)
      & n6 = sum(n14,n13)
      & n5 = sum(n14,n12)
      & n4 = sum(n14,n11)
      & n3 = sum(n14,n10)
      & n2 = sum(n14,n9)
      & n1 = sum(n14,n8)
      & n0 = sum(n14,n7)
      & n20 = sum(n14,n6)
      & n19 = sum(n14,n5)
      & n18 = sum(n14,n4)
      & n17 = sum(n14,n3)
      & n16 = sum(n14,n2)
      & n15 = sum(n14,n1)
      & n14 = sum(n14,n0)
      & n12 = sum(n13,n20)
      & n11 = sum(n13,n19)
      & n10 = sum(n13,n18)
      & n9 = sum(n13,n17)
      & n8 = sum(n13,n16)
      & n7 = sum(n13,n15)
      & n6 = sum(n13,n14)
      & n5 = sum(n13,n13)
      & n4 = sum(n13,n12)
      & n3 = sum(n13,n11)
      & n2 = sum(n13,n10)
      & n1 = sum(n13,n9)
      & n0 = sum(n13,n8)
      & n20 = sum(n13,n7)
      & n19 = sum(n13,n6)
      & n18 = sum(n13,n5)
      & n17 = sum(n13,n4)
      & n16 = sum(n13,n3)
      & n15 = sum(n13,n2)
      & n14 = sum(n13,n1)
      & n13 = sum(n13,n0)
      & n11 = sum(n12,n20)
      & n10 = sum(n12,n19)
      & n9 = sum(n12,n18)
      & n8 = sum(n12,n17)
      & n7 = sum(n12,n16)
      & n6 = sum(n12,n15)
      & n5 = sum(n12,n14)
      & n4 = sum(n12,n13)
      & n3 = sum(n12,n12)
      & n2 = sum(n12,n11)
      & n1 = sum(n12,n10)
      & n0 = sum(n12,n9)
      & n20 = sum(n12,n8)
      & n19 = sum(n12,n7)
      & n18 = sum(n12,n6)
      & n17 = sum(n12,n5)
      & n16 = sum(n12,n4)
      & n15 = sum(n12,n3)
      & n14 = sum(n12,n2)
      & n13 = sum(n12,n1)
      & n12 = sum(n12,n0)
      & n10 = sum(n11,n20)
      & n9 = sum(n11,n19)
      & n8 = sum(n11,n18)
      & n7 = sum(n11,n17)
      & n6 = sum(n11,n16)
      & n5 = sum(n11,n15)
      & n4 = sum(n11,n14)
      & n3 = sum(n11,n13)
      & n2 = sum(n11,n12)
      & n1 = sum(n11,n11)
      & n0 = sum(n11,n10)
      & n20 = sum(n11,n9)
      & n19 = sum(n11,n8)
      & n18 = sum(n11,n7)
      & n17 = sum(n11,n6)
      & n16 = sum(n11,n5)
      & n15 = sum(n11,n4)
      & n14 = sum(n11,n3)
      & n13 = sum(n11,n2)
      & n12 = sum(n11,n1)
      & n11 = sum(n11,n0)
      & n9 = sum(n10,n20)
      & n8 = sum(n10,n19)
      & n7 = sum(n10,n18)
      & n6 = sum(n10,n17)
      & n5 = sum(n10,n16)
      & n4 = sum(n10,n15)
      & n3 = sum(n10,n14)
      & n2 = sum(n10,n13)
      & n1 = sum(n10,n12)
      & n0 = sum(n10,n11)
      & n20 = sum(n10,n10)
      & n19 = sum(n10,n9)
      & n18 = sum(n10,n8)
      & n17 = sum(n10,n7)
      & n16 = sum(n10,n6)
      & n15 = sum(n10,n5)
      & n14 = sum(n10,n4)
      & n13 = sum(n10,n3)
      & n12 = sum(n10,n2)
      & n11 = sum(n10,n1)
      & n10 = sum(n10,n0)
      & n8 = sum(n9,n20)
      & n7 = sum(n9,n19)
      & n6 = sum(n9,n18)
      & n5 = sum(n9,n17)
      & n4 = sum(n9,n16)
      & n3 = sum(n9,n15)
      & n2 = sum(n9,n14)
      & n1 = sum(n9,n13)
      & n0 = sum(n9,n12)
      & n20 = sum(n9,n11)
      & n19 = sum(n9,n10)
      & n18 = sum(n9,n9)
      & n17 = sum(n9,n8)
      & n16 = sum(n9,n7)
      & n15 = sum(n9,n6)
      & n14 = sum(n9,n5)
      & n13 = sum(n9,n4)
      & n12 = sum(n9,n3)
      & n11 = sum(n9,n2)
      & n10 = sum(n9,n1)
      & n9 = sum(n9,n0)
      & n7 = sum(n8,n20)
      & n6 = sum(n8,n19)
      & n5 = sum(n8,n18)
      & n4 = sum(n8,n17)
      & n3 = sum(n8,n16)
      & n2 = sum(n8,n15)
      & n1 = sum(n8,n14)
      & n0 = sum(n8,n13)
      & n20 = sum(n8,n12)
      & n19 = sum(n8,n11)
      & n18 = sum(n8,n10)
      & n17 = sum(n8,n9)
      & n16 = sum(n8,n8)
      & n15 = sum(n8,n7)
      & n14 = sum(n8,n6)
      & n13 = sum(n8,n5)
      & n12 = sum(n8,n4)
      & n11 = sum(n8,n3)
      & n10 = sum(n8,n2)
      & n9 = sum(n8,n1)
      & n8 = sum(n8,n0)
      & n6 = sum(n7,n20)
      & n5 = sum(n7,n19)
      & n4 = sum(n7,n18)
      & n3 = sum(n7,n17)
      & n2 = sum(n7,n16)
      & n1 = sum(n7,n15)
      & n0 = sum(n7,n14)
      & n20 = sum(n7,n13)
      & n19 = sum(n7,n12)
      & n18 = sum(n7,n11)
      & n17 = sum(n7,n10)
      & n16 = sum(n7,n9)
      & n15 = sum(n7,n8)
      & n14 = sum(n7,n7)
      & n13 = sum(n7,n6)
      & n12 = sum(n7,n5)
      & n11 = sum(n7,n4)
      & n10 = sum(n7,n3)
      & n9 = sum(n7,n2)
      & n8 = sum(n7,n1)
      & n7 = sum(n7,n0)
      & n5 = sum(n6,n20)
      & n4 = sum(n6,n19)
      & n3 = sum(n6,n18)
      & n2 = sum(n6,n17)
      & n1 = sum(n6,n16)
      & n0 = sum(n6,n15)
      & n20 = sum(n6,n14)
      & n19 = sum(n6,n13)
      & n18 = sum(n6,n12)
      & n17 = sum(n6,n11)
      & n16 = sum(n6,n10)
      & n15 = sum(n6,n9)
      & n14 = sum(n6,n8)
      & n13 = sum(n6,n7)
      & n12 = sum(n6,n6)
      & n11 = sum(n6,n5)
      & n10 = sum(n6,n4)
      & n9 = sum(n6,n3)
      & n8 = sum(n6,n2)
      & n7 = sum(n6,n1)
      & n6 = sum(n6,n0)
      & n4 = sum(n5,n20)
      & n3 = sum(n5,n19)
      & n2 = sum(n5,n18)
      & n1 = sum(n5,n17)
      & n0 = sum(n5,n16)
      & n20 = sum(n5,n15)
      & n19 = sum(n5,n14)
      & n18 = sum(n5,n13)
      & n17 = sum(n5,n12)
      & n16 = sum(n5,n11)
      & n15 = sum(n5,n10)
      & n14 = sum(n5,n9)
      & n13 = sum(n5,n8)
      & n12 = sum(n5,n7)
      & n11 = sum(n5,n6)
      & n10 = sum(n5,n5)
      & n9 = sum(n5,n4)
      & n8 = sum(n5,n3)
      & n7 = sum(n5,n2)
      & n6 = sum(n5,n1)
      & n5 = sum(n5,n0)
      & n3 = sum(n4,n20)
      & n2 = sum(n4,n19)
      & n1 = sum(n4,n18)
      & n0 = sum(n4,n17)
      & n20 = sum(n4,n16)
      & n19 = sum(n4,n15)
      & n18 = sum(n4,n14)
      & n17 = sum(n4,n13)
      & n16 = sum(n4,n12)
      & n15 = sum(n4,n11)
      & n14 = sum(n4,n10)
      & n13 = sum(n4,n9)
      & n12 = sum(n4,n8)
      & n11 = sum(n4,n7)
      & n10 = sum(n4,n6)
      & n9 = sum(n4,n5)
      & n8 = sum(n4,n4)
      & n7 = sum(n4,n3)
      & n6 = sum(n4,n2)
      & n5 = sum(n4,n1)
      & n4 = sum(n4,n0)
      & n2 = sum(n3,n20)
      & n1 = sum(n3,n19)
      & n0 = sum(n3,n18)
      & n20 = sum(n3,n17)
      & n19 = sum(n3,n16)
      & n18 = sum(n3,n15)
      & n17 = sum(n3,n14)
      & n16 = sum(n3,n13)
      & n15 = sum(n3,n12)
      & n14 = sum(n3,n11)
      & n13 = sum(n3,n10)
      & n12 = sum(n3,n9)
      & n11 = sum(n3,n8)
      & n10 = sum(n3,n7)
      & n9 = sum(n3,n6)
      & n8 = sum(n3,n5)
      & n7 = sum(n3,n4)
      & n6 = sum(n3,n3)
      & n5 = sum(n3,n2)
      & n4 = sum(n3,n1)
      & n3 = sum(n3,n0)
      & n1 = sum(n2,n20)
      & n0 = sum(n2,n19)
      & n20 = sum(n2,n18)
      & n19 = sum(n2,n17)
      & n18 = sum(n2,n16)
      & n17 = sum(n2,n15)
      & n16 = sum(n2,n14)
      & n15 = sum(n2,n13)
      & n14 = sum(n2,n12)
      & n13 = sum(n2,n11)
      & n12 = sum(n2,n10)
      & n11 = sum(n2,n9)
      & n10 = sum(n2,n8)
      & n9 = sum(n2,n7)
      & n8 = sum(n2,n6)
      & n7 = sum(n2,n5)
      & n6 = sum(n2,n4)
      & n5 = sum(n2,n3)
      & n4 = sum(n2,n2)
      & n3 = sum(n2,n1)
      & n2 = sum(n2,n0)
      & n0 = sum(n1,n20)
      & n20 = sum(n1,n19)
      & n19 = sum(n1,n18)
      & n18 = sum(n1,n17)
      & n17 = sum(n1,n16)
      & n16 = sum(n1,n15)
      & n15 = sum(n1,n14)
      & n14 = sum(n1,n13)
      & n13 = sum(n1,n12)
      & n12 = sum(n1,n11)
      & n11 = sum(n1,n10)
      & n10 = sum(n1,n9)
      & n9 = sum(n1,n8)
      & n8 = sum(n1,n7)
      & n7 = sum(n1,n6)
      & n6 = sum(n1,n5)
      & n5 = sum(n1,n4)
      & n4 = sum(n1,n3)
      & n3 = sum(n1,n2)
      & n2 = sum(n1,n1)
      & n1 = sum(n1,n0)
      & n20 = sum(n0,n20)
      & n19 = sum(n0,n19)
      & n18 = sum(n0,n18)
      & n17 = sum(n0,n17)
      & n16 = sum(n0,n16)
      & n15 = sum(n0,n15)
      & n14 = sum(n0,n14)
      & n13 = sum(n0,n13)
      & n12 = sum(n0,n12)
      & n11 = sum(n0,n11)
      & n10 = sum(n0,n10)
      & n9 = sum(n0,n9)
      & n8 = sum(n0,n8)
      & n7 = sum(n0,n7)
      & n6 = sum(n0,n6)
      & n5 = sum(n0,n5)
      & n4 = sum(n0,n4)
      & n3 = sum(n0,n3)
      & n2 = sum(n0,n2)
      & n1 = sum(n0,n1)
      & n0 = sum(n0,n0)
      & n19 = pred(n20)
      & n18 = pred(n19)
      & n17 = pred(n18)
      & n16 = pred(n17)
      & n15 = pred(n16)
      & n14 = pred(n15)
      & n13 = pred(n14)
      & n12 = pred(n13)
      & n11 = pred(n12)
      & n10 = pred(n11)
      & n9 = pred(n10)
      & n8 = pred(n9)
      & n7 = pred(n8)
      & n6 = pred(n7)
      & n5 = pred(n6)
      & n4 = pred(n5)
      & n3 = pred(n4)
      & n2 = pred(n3)
      & n1 = pred(n2)
      & n0 = pred(n1)
      & n20 = pred(n0)
      & n0 = succ(n20)
      & succ(n19) = n20
      & succ(n18) = n19
      & succ(n17) = n18
      & succ(n16) = n17
      & succ(n15) = n16
      & succ(n14) = n15
      & succ(n13) = n14
      & succ(n12) = n13
      & succ(n11) = n12
      & succ(n10) = n11
      & succ(n9) = n10
      & succ(n8) = n9
      & succ(n7) = n8
      & succ(n6) = n7
      & succ(n5) = n6
      & succ(n4) = n5
      & succ(n3) = n4
      & succ(n2) = n3
      & succ(n1) = n2
      & succ(n0) = n1 ) ),
    introduced(choice_axiom,[]) ).

fof(f3,plain,
    ( n19 != n20
    & n18 != n20
    & n18 != n19
    & n17 != n20
    & n17 != n19
    & n17 != n18
    & n16 != n20
    & n16 != n19
    & n16 != n18
    & n16 != n17
    & n15 != n20
    & n15 != n19
    & n15 != n18
    & n15 != n17
    & n15 != n16
    & n14 != n20
    & n14 != n19
    & n14 != n18
    & n14 != n17
    & n14 != n16
    & n14 != n15
    & n13 != n20
    & n13 != n19
    & n13 != n18
    & n13 != n17
    & n13 != n16
    & n13 != n15
    & n13 != n14
    & n12 != n20
    & n12 != n19
    & n12 != n18
    & n12 != n17
    & n12 != n16
    & n12 != n15
    & n12 != n14
    & n12 != n13
    & n11 != n20
    & n11 != n19
    & n11 != n18
    & n11 != n17
    & n11 != n16
    & n11 != n15
    & n11 != n14
    & n11 != n13
    & n11 != n12
    & n10 != n20
    & n10 != n19
    & n10 != n18
    & n10 != n17
    & n10 != n16
    & n10 != n15
    & n10 != n14
    & n10 != n13
    & n10 != n12
    & n10 != n11
    & n9 != n20
    & n9 != n19
    & n9 != n18
    & n9 != n17
    & n9 != n16
    & n9 != n15
    & n9 != n14
    & n9 != n13
    & n9 != n12
    & n9 != n11
    & n9 != n10
    & n8 != n20
    & n8 != n19
    & n8 != n18
    & n8 != n17
    & n8 != n16
    & n8 != n15
    & n8 != n14
    & n8 != n13
    & n8 != n12
    & n8 != n11
    & n8 != n10
    & n8 != n9
    & n7 != n20
    & n7 != n19
    & n7 != n18
    & n7 != n17
    & n7 != n16
    & n7 != n15
    & n7 != n14
    & n7 != n13
    & n7 != n12
    & n7 != n11
    & n7 != n10
    & n7 != n9
    & n7 != n8
    & n6 != n20
    & n6 != n19
    & n6 != n18
    & n6 != n17
    & n6 != n16
    & n6 != n15
    & n6 != n14
    & n6 != n13
    & n6 != n12
    & n6 != n11
    & n6 != n10
    & n6 != n9
    & n6 != n8
    & n6 != n7
    & n5 != n20
    & n5 != n19
    & n5 != n18
    & n5 != n17
    & n5 != n16
    & n5 != n15
    & n5 != n14
    & n5 != n13
    & n5 != n12
    & n5 != n11
    & n5 != n10
    & n5 != n9
    & n5 != n8
    & n5 != n7
    & n5 != n6
    & n4 != n20
    & n4 != n19
    & n4 != n18
    & n4 != n17
    & n4 != n16
    & n4 != n15
    & n4 != n14
    & n4 != n13
    & n4 != n12
    & n4 != n11
    & n4 != n10
    & n4 != n9
    & n4 != n8
    & n4 != n7
    & n4 != n6
    & n4 != n5
    & n3 != n20
    & n3 != n19
    & n3 != n18
    & n3 != n17
    & n3 != n16
    & n3 != n15
    & n3 != n14
    & n3 != n13
    & n3 != n12
    & n3 != n11
    & n3 != n10
    & n3 != n9
    & n3 != n8
    & n3 != n7
    & n3 != n6
    & n3 != n5
    & n3 != n4
    & n2 != n20
    & n2 != n19
    & n2 != n18
    & n2 != n17
    & n2 != n16
    & n2 != n15
    & n2 != n14
    & n2 != n13
    & n2 != n12
    & n2 != n11
    & n2 != n10
    & n2 != n9
    & n2 != n8
    & n2 != n7
    & n2 != n6
    & n2 != n5
    & n2 != n4
    & n2 != n3
    & n1 != n20
    & n1 != n19
    & n1 != n18
    & n1 != n17
    & n1 != n16
    & n1 != n15
    & n1 != n14
    & n1 != n13
    & n1 != n12
    & n1 != n11
    & n1 != n10
    & n1 != n9
    & n1 != n8
    & n1 != n7
    & n1 != n6
    & n1 != n5
    & n1 != n4
    & n1 != n3
    & n1 != n2
    & n0 != n20
    & n0 != n19
    & n0 != n18
    & n0 != n17
    & n0 != n16
    & n0 != n15
    & n0 != n14
    & n0 != n13
    & n0 != n12
    & n0 != n11
    & n0 != n10
    & n0 != n9
    & n0 != n8
    & n0 != n7
    & n0 != n6
    & n0 != n5
    & n0 != n4
    & n0 != n3
    & n0 != n2
    & n0 != n1
    & ( sK30 != sK31
      | sK28 != sK29
      | sK26 != sK27
      | sK24 != sK25 )
    & sK31 = sum(pred(sK90),sum(succ(sK88),sum(pred(sK91),succ(sK89))))
    & sK30 = sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28)))
    & sK29 = sum(pred(sK86),sum(succ(sK84),sum(pred(sK87),succ(sK85))))
    & sK28 = sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26)))
    & sK27 = sum(pred(sK82),sum(succ(sK80),sum(pred(sK83),succ(sK81))))
    & sK26 = sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24)))
    & sK25 = sum(pred(sK78),sum(succ(sK76),sum(pred(sK79),succ(sK77))))
    & sK24 = sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22)))
    & sK23 = sum(pred(sK74),sum(succ(sK72),sum(pred(sK75),succ(sK73))))
    & sK22 = sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20)))
    & sK21 = sum(pred(sK70),sum(succ(sK68),sum(pred(sK71),succ(sK69))))
    & sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18)))
    & sK19 = sum(pred(sK66),sum(succ(sK64),sum(pred(sK67),succ(sK65))))
    & sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16)))
    & sK17 = sum(pred(sK62),sum(succ(sK60),sum(pred(sK63),succ(sK61))))
    & sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14)))
    & sK15 = sum(pred(sK58),sum(succ(sK56),sum(pred(sK59),succ(sK57))))
    & sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12)))
    & sK13 = sum(pred(sK54),sum(succ(sK52),sum(pred(sK55),succ(sK53))))
    & sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10)))
    & sK11 = sum(pred(sK50),sum(succ(sK48),sum(pred(sK51),succ(sK49))))
    & sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8)))
    & sK9 = sum(pred(sK46),sum(succ(sK44),sum(pred(sK47),succ(sK45))))
    & sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6)))
    & sK7 = sum(pred(sK42),sum(succ(sK40),sum(pred(sK43),succ(sK41))))
    & sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4)))
    & sK5 = sum(pred(sK38),sum(succ(sK36),sum(pred(sK39),succ(sK37))))
    & sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2)))
    & sK3 = sum(pred(sK34),sum(succ(sK32),sum(pred(sK35),succ(sK33))))
    & sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))
    & sK91 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK29)))))))))))))))))))))
    & sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK29)))))))))))))))))))))
    & sK90 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28)))))))))))))))))))))
    & sK88 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28)))))))))))))))))))))
    & sK87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27)))))))))))))))))))))
    & sK85 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27)))))))))))))))))))))
    & sK86 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26)))))))))))))))))))))
    & sK84 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26)))))))))))))))))))))
    & sK83 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25)))))))))))))))))))))
    & sK81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25)))))))))))))))))))))
    & sK82 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24)))))))))))))))))))))
    & sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24)))))))))))))))))))))
    & sK79 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23)))))))))))))))))))))
    & sK77 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23)))))))))))))))))))))
    & sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22)))))))))))))))))))))
    & sK76 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22)))))))))))))))))))))
    & sK75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21)))))))))))))))))))))
    & sK73 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21)))))))))))))))))))))
    & sK74 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20)))))))))))))))))))))
    & sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20)))))))))))))))))))))
    & sK71 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19)))))))))))))))))))))
    & sK69 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19)))))))))))))))))))))
    & sK70 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18)))))))))))))))))))))
    & sK68 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18)))))))))))))))))))))
    & sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17)))))))))))))))))))))
    & sK65 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17)))))))))))))))))))))
    & sK66 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))))))))))))
    & sK64 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))))))))))))
    & sK63 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))))))))))))
    & sK61 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))))))))))))
    & sK62 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))))))))))))
    & sK60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))))))))))))
    & sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))))))))))))
    & sK57 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13)))))))))))))))))))))
    & sK58 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12)))))))))))))))))))))
    & sK56 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12)))))))))))))))))))))
    & sK55 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11)))))))))))))))))))))
    & sK53 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11)))))))))))))))))))))
    & sK54 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10)))))))))))))))))))))
    & sK52 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10)))))))))))))))))))))
    & sK51 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9)))))))))))))))))))))
    & sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9)))))))))))))))))))))
    & sK50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8)))))))))))))))))))))
    & sK48 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8)))))))))))))))))))))
    & sK47 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7)))))))))))))))))))))
    & sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7)))))))))))))))))))))
    & sK46 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))))))))
    & sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))))))))))))
    & sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5)))))))))))))))))))))
    & sK41 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5)))))))))))))))))))))
    & sK42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4)))))))))))))))))))))
    & sK40 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4)))))))))))))))))))))
    & sK39 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))))))))))))
    & sK37 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3)))))))))))))))))))))
    & sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2)))))))))))))))))))))
    & sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2)))))))))))))))))))))
    & sK35 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1)))))))))))))))))))))
    & sK33 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1)))))))))))))))))))))
    & sK34 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0)))))))))))))))))))))
    & sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0)))))))))))))))))))))
    & ( n20 = sK1
      | n19 = sK1
      | n18 = sK1
      | n17 = sK1
      | n16 = sK1
      | n15 = sK1
      | n14 = sK1
      | n13 = sK1
      | n12 = sK1
      | n11 = sK1
      | n10 = sK1
      | n9 = sK1
      | n8 = sK1
      | n7 = sK1
      | n6 = sK1
      | n5 = sK1
      | n4 = sK1
      | n3 = sK1
      | n2 = sK1
      | n1 = sK1
      | n0 = sK1 )
    & ( n20 = sK0
      | n19 = sK0
      | n18 = sK0
      | n17 = sK0
      | n16 = sK0
      | n15 = sK0
      | n14 = sK0
      | n13 = sK0
      | n12 = sK0
      | n11 = sK0
      | n10 = sK0
      | n9 = sK0
      | n8 = sK0
      | n7 = sK0
      | n6 = sK0
      | n5 = sK0
      | n4 = sK0
      | n3 = sK0
      | n2 = sK0
      | n1 = sK0
      | n0 = sK0 )
    & n19 = sum(n20,n20)
    & n18 = sum(n20,n19)
    & n17 = sum(n20,n18)
    & n16 = sum(n20,n17)
    & n15 = sum(n20,n16)
    & n14 = sum(n20,n15)
    & n13 = sum(n20,n14)
    & n12 = sum(n20,n13)
    & n11 = sum(n20,n12)
    & n10 = sum(n20,n11)
    & n9 = sum(n20,n10)
    & n8 = sum(n20,n9)
    & n7 = sum(n20,n8)
    & n6 = sum(n20,n7)
    & n5 = sum(n20,n6)
    & n4 = sum(n20,n5)
    & n3 = sum(n20,n4)
    & n2 = sum(n20,n3)
    & n1 = sum(n20,n2)
    & n0 = sum(n20,n1)
    & n20 = sum(n20,n0)
    & n18 = sum(n19,n20)
    & n17 = sum(n19,n19)
    & n16 = sum(n19,n18)
    & n15 = sum(n19,n17)
    & n14 = sum(n19,n16)
    & n13 = sum(n19,n15)
    & n12 = sum(n19,n14)
    & n11 = sum(n19,n13)
    & n10 = sum(n19,n12)
    & n9 = sum(n19,n11)
    & n8 = sum(n19,n10)
    & n7 = sum(n19,n9)
    & n6 = sum(n19,n8)
    & n5 = sum(n19,n7)
    & n4 = sum(n19,n6)
    & n3 = sum(n19,n5)
    & n2 = sum(n19,n4)
    & n1 = sum(n19,n3)
    & n0 = sum(n19,n2)
    & n20 = sum(n19,n1)
    & n19 = sum(n19,n0)
    & n17 = sum(n18,n20)
    & n16 = sum(n18,n19)
    & n15 = sum(n18,n18)
    & n14 = sum(n18,n17)
    & n13 = sum(n18,n16)
    & n12 = sum(n18,n15)
    & n11 = sum(n18,n14)
    & n10 = sum(n18,n13)
    & n9 = sum(n18,n12)
    & n8 = sum(n18,n11)
    & n7 = sum(n18,n10)
    & n6 = sum(n18,n9)
    & n5 = sum(n18,n8)
    & n4 = sum(n18,n7)
    & n3 = sum(n18,n6)
    & n2 = sum(n18,n5)
    & n1 = sum(n18,n4)
    & n0 = sum(n18,n3)
    & n20 = sum(n18,n2)
    & n19 = sum(n18,n1)
    & n18 = sum(n18,n0)
    & n16 = sum(n17,n20)
    & n15 = sum(n17,n19)
    & n14 = sum(n17,n18)
    & n13 = sum(n17,n17)
    & n12 = sum(n17,n16)
    & n11 = sum(n17,n15)
    & n10 = sum(n17,n14)
    & n9 = sum(n17,n13)
    & n8 = sum(n17,n12)
    & n7 = sum(n17,n11)
    & n6 = sum(n17,n10)
    & n5 = sum(n17,n9)
    & n4 = sum(n17,n8)
    & n3 = sum(n17,n7)
    & n2 = sum(n17,n6)
    & n1 = sum(n17,n5)
    & n0 = sum(n17,n4)
    & n20 = sum(n17,n3)
    & n19 = sum(n17,n2)
    & n18 = sum(n17,n1)
    & n17 = sum(n17,n0)
    & n15 = sum(n16,n20)
    & n14 = sum(n16,n19)
    & n13 = sum(n16,n18)
    & n12 = sum(n16,n17)
    & n11 = sum(n16,n16)
    & n10 = sum(n16,n15)
    & n9 = sum(n16,n14)
    & n8 = sum(n16,n13)
    & n7 = sum(n16,n12)
    & n6 = sum(n16,n11)
    & n5 = sum(n16,n10)
    & n4 = sum(n16,n9)
    & n3 = sum(n16,n8)
    & n2 = sum(n16,n7)
    & n1 = sum(n16,n6)
    & n0 = sum(n16,n5)
    & n20 = sum(n16,n4)
    & n19 = sum(n16,n3)
    & n18 = sum(n16,n2)
    & n17 = sum(n16,n1)
    & n16 = sum(n16,n0)
    & n14 = sum(n15,n20)
    & n13 = sum(n15,n19)
    & n12 = sum(n15,n18)
    & n11 = sum(n15,n17)
    & n10 = sum(n15,n16)
    & n9 = sum(n15,n15)
    & n8 = sum(n15,n14)
    & n7 = sum(n15,n13)
    & n6 = sum(n15,n12)
    & n5 = sum(n15,n11)
    & n4 = sum(n15,n10)
    & n3 = sum(n15,n9)
    & n2 = sum(n15,n8)
    & n1 = sum(n15,n7)
    & n0 = sum(n15,n6)
    & n20 = sum(n15,n5)
    & n19 = sum(n15,n4)
    & n18 = sum(n15,n3)
    & n17 = sum(n15,n2)
    & n16 = sum(n15,n1)
    & n15 = sum(n15,n0)
    & n13 = sum(n14,n20)
    & n12 = sum(n14,n19)
    & n11 = sum(n14,n18)
    & n10 = sum(n14,n17)
    & n9 = sum(n14,n16)
    & n8 = sum(n14,n15)
    & n7 = sum(n14,n14)
    & n6 = sum(n14,n13)
    & n5 = sum(n14,n12)
    & n4 = sum(n14,n11)
    & n3 = sum(n14,n10)
    & n2 = sum(n14,n9)
    & n1 = sum(n14,n8)
    & n0 = sum(n14,n7)
    & n20 = sum(n14,n6)
    & n19 = sum(n14,n5)
    & n18 = sum(n14,n4)
    & n17 = sum(n14,n3)
    & n16 = sum(n14,n2)
    & n15 = sum(n14,n1)
    & n14 = sum(n14,n0)
    & n12 = sum(n13,n20)
    & n11 = sum(n13,n19)
    & n10 = sum(n13,n18)
    & n9 = sum(n13,n17)
    & n8 = sum(n13,n16)
    & n7 = sum(n13,n15)
    & n6 = sum(n13,n14)
    & n5 = sum(n13,n13)
    & n4 = sum(n13,n12)
    & n3 = sum(n13,n11)
    & n2 = sum(n13,n10)
    & n1 = sum(n13,n9)
    & n0 = sum(n13,n8)
    & n20 = sum(n13,n7)
    & n19 = sum(n13,n6)
    & n18 = sum(n13,n5)
    & n17 = sum(n13,n4)
    & n16 = sum(n13,n3)
    & n15 = sum(n13,n2)
    & n14 = sum(n13,n1)
    & n13 = sum(n13,n0)
    & n11 = sum(n12,n20)
    & n10 = sum(n12,n19)
    & n9 = sum(n12,n18)
    & n8 = sum(n12,n17)
    & n7 = sum(n12,n16)
    & n6 = sum(n12,n15)
    & n5 = sum(n12,n14)
    & n4 = sum(n12,n13)
    & n3 = sum(n12,n12)
    & n2 = sum(n12,n11)
    & n1 = sum(n12,n10)
    & n0 = sum(n12,n9)
    & n20 = sum(n12,n8)
    & n19 = sum(n12,n7)
    & n18 = sum(n12,n6)
    & n17 = sum(n12,n5)
    & n16 = sum(n12,n4)
    & n15 = sum(n12,n3)
    & n14 = sum(n12,n2)
    & n13 = sum(n12,n1)
    & n12 = sum(n12,n0)
    & n10 = sum(n11,n20)
    & n9 = sum(n11,n19)
    & n8 = sum(n11,n18)
    & n7 = sum(n11,n17)
    & n6 = sum(n11,n16)
    & n5 = sum(n11,n15)
    & n4 = sum(n11,n14)
    & n3 = sum(n11,n13)
    & n2 = sum(n11,n12)
    & n1 = sum(n11,n11)
    & n0 = sum(n11,n10)
    & n20 = sum(n11,n9)
    & n19 = sum(n11,n8)
    & n18 = sum(n11,n7)
    & n17 = sum(n11,n6)
    & n16 = sum(n11,n5)
    & n15 = sum(n11,n4)
    & n14 = sum(n11,n3)
    & n13 = sum(n11,n2)
    & n12 = sum(n11,n1)
    & n11 = sum(n11,n0)
    & n9 = sum(n10,n20)
    & n8 = sum(n10,n19)
    & n7 = sum(n10,n18)
    & n6 = sum(n10,n17)
    & n5 = sum(n10,n16)
    & n4 = sum(n10,n15)
    & n3 = sum(n10,n14)
    & n2 = sum(n10,n13)
    & n1 = sum(n10,n12)
    & n0 = sum(n10,n11)
    & n20 = sum(n10,n10)
    & n19 = sum(n10,n9)
    & n18 = sum(n10,n8)
    & n17 = sum(n10,n7)
    & n16 = sum(n10,n6)
    & n15 = sum(n10,n5)
    & n14 = sum(n10,n4)
    & n13 = sum(n10,n3)
    & n12 = sum(n10,n2)
    & n11 = sum(n10,n1)
    & n10 = sum(n10,n0)
    & n8 = sum(n9,n20)
    & n7 = sum(n9,n19)
    & n6 = sum(n9,n18)
    & n5 = sum(n9,n17)
    & n4 = sum(n9,n16)
    & n3 = sum(n9,n15)
    & n2 = sum(n9,n14)
    & n1 = sum(n9,n13)
    & n0 = sum(n9,n12)
    & n20 = sum(n9,n11)
    & n19 = sum(n9,n10)
    & n18 = sum(n9,n9)
    & n17 = sum(n9,n8)
    & n16 = sum(n9,n7)
    & n15 = sum(n9,n6)
    & n14 = sum(n9,n5)
    & n13 = sum(n9,n4)
    & n12 = sum(n9,n3)
    & n11 = sum(n9,n2)
    & n10 = sum(n9,n1)
    & n9 = sum(n9,n0)
    & n7 = sum(n8,n20)
    & n6 = sum(n8,n19)
    & n5 = sum(n8,n18)
    & n4 = sum(n8,n17)
    & n3 = sum(n8,n16)
    & n2 = sum(n8,n15)
    & n1 = sum(n8,n14)
    & n0 = sum(n8,n13)
    & n20 = sum(n8,n12)
    & n19 = sum(n8,n11)
    & n18 = sum(n8,n10)
    & n17 = sum(n8,n9)
    & n16 = sum(n8,n8)
    & n15 = sum(n8,n7)
    & n14 = sum(n8,n6)
    & n13 = sum(n8,n5)
    & n12 = sum(n8,n4)
    & n11 = sum(n8,n3)
    & n10 = sum(n8,n2)
    & n9 = sum(n8,n1)
    & n8 = sum(n8,n0)
    & n6 = sum(n7,n20)
    & n5 = sum(n7,n19)
    & n4 = sum(n7,n18)
    & n3 = sum(n7,n17)
    & n2 = sum(n7,n16)
    & n1 = sum(n7,n15)
    & n0 = sum(n7,n14)
    & n20 = sum(n7,n13)
    & n19 = sum(n7,n12)
    & n18 = sum(n7,n11)
    & n17 = sum(n7,n10)
    & n16 = sum(n7,n9)
    & n15 = sum(n7,n8)
    & n14 = sum(n7,n7)
    & n13 = sum(n7,n6)
    & n12 = sum(n7,n5)
    & n11 = sum(n7,n4)
    & n10 = sum(n7,n3)
    & n9 = sum(n7,n2)
    & n8 = sum(n7,n1)
    & n7 = sum(n7,n0)
    & n5 = sum(n6,n20)
    & n4 = sum(n6,n19)
    & n3 = sum(n6,n18)
    & n2 = sum(n6,n17)
    & n1 = sum(n6,n16)
    & n0 = sum(n6,n15)
    & n20 = sum(n6,n14)
    & n19 = sum(n6,n13)
    & n18 = sum(n6,n12)
    & n17 = sum(n6,n11)
    & n16 = sum(n6,n10)
    & n15 = sum(n6,n9)
    & n14 = sum(n6,n8)
    & n13 = sum(n6,n7)
    & n12 = sum(n6,n6)
    & n11 = sum(n6,n5)
    & n10 = sum(n6,n4)
    & n9 = sum(n6,n3)
    & n8 = sum(n6,n2)
    & n7 = sum(n6,n1)
    & n6 = sum(n6,n0)
    & n4 = sum(n5,n20)
    & n3 = sum(n5,n19)
    & n2 = sum(n5,n18)
    & n1 = sum(n5,n17)
    & n0 = sum(n5,n16)
    & n20 = sum(n5,n15)
    & n19 = sum(n5,n14)
    & n18 = sum(n5,n13)
    & n17 = sum(n5,n12)
    & n16 = sum(n5,n11)
    & n15 = sum(n5,n10)
    & n14 = sum(n5,n9)
    & n13 = sum(n5,n8)
    & n12 = sum(n5,n7)
    & n11 = sum(n5,n6)
    & n10 = sum(n5,n5)
    & n9 = sum(n5,n4)
    & n8 = sum(n5,n3)
    & n7 = sum(n5,n2)
    & n6 = sum(n5,n1)
    & n5 = sum(n5,n0)
    & n3 = sum(n4,n20)
    & n2 = sum(n4,n19)
    & n1 = sum(n4,n18)
    & n0 = sum(n4,n17)
    & n20 = sum(n4,n16)
    & n19 = sum(n4,n15)
    & n18 = sum(n4,n14)
    & n17 = sum(n4,n13)
    & n16 = sum(n4,n12)
    & n15 = sum(n4,n11)
    & n14 = sum(n4,n10)
    & n13 = sum(n4,n9)
    & n12 = sum(n4,n8)
    & n11 = sum(n4,n7)
    & n10 = sum(n4,n6)
    & n9 = sum(n4,n5)
    & n8 = sum(n4,n4)
    & n7 = sum(n4,n3)
    & n6 = sum(n4,n2)
    & n5 = sum(n4,n1)
    & n4 = sum(n4,n0)
    & n2 = sum(n3,n20)
    & n1 = sum(n3,n19)
    & n0 = sum(n3,n18)
    & n20 = sum(n3,n17)
    & n19 = sum(n3,n16)
    & n18 = sum(n3,n15)
    & n17 = sum(n3,n14)
    & n16 = sum(n3,n13)
    & n15 = sum(n3,n12)
    & n14 = sum(n3,n11)
    & n13 = sum(n3,n10)
    & n12 = sum(n3,n9)
    & n11 = sum(n3,n8)
    & n10 = sum(n3,n7)
    & n9 = sum(n3,n6)
    & n8 = sum(n3,n5)
    & n7 = sum(n3,n4)
    & n6 = sum(n3,n3)
    & n5 = sum(n3,n2)
    & n4 = sum(n3,n1)
    & n3 = sum(n3,n0)
    & n1 = sum(n2,n20)
    & n0 = sum(n2,n19)
    & n20 = sum(n2,n18)
    & n19 = sum(n2,n17)
    & n18 = sum(n2,n16)
    & n17 = sum(n2,n15)
    & n16 = sum(n2,n14)
    & n15 = sum(n2,n13)
    & n14 = sum(n2,n12)
    & n13 = sum(n2,n11)
    & n12 = sum(n2,n10)
    & n11 = sum(n2,n9)
    & n10 = sum(n2,n8)
    & n9 = sum(n2,n7)
    & n8 = sum(n2,n6)
    & n7 = sum(n2,n5)
    & n6 = sum(n2,n4)
    & n5 = sum(n2,n3)
    & n4 = sum(n2,n2)
    & n3 = sum(n2,n1)
    & n2 = sum(n2,n0)
    & n0 = sum(n1,n20)
    & n20 = sum(n1,n19)
    & n19 = sum(n1,n18)
    & n18 = sum(n1,n17)
    & n17 = sum(n1,n16)
    & n16 = sum(n1,n15)
    & n15 = sum(n1,n14)
    & n14 = sum(n1,n13)
    & n13 = sum(n1,n12)
    & n12 = sum(n1,n11)
    & n11 = sum(n1,n10)
    & n10 = sum(n1,n9)
    & n9 = sum(n1,n8)
    & n8 = sum(n1,n7)
    & n7 = sum(n1,n6)
    & n6 = sum(n1,n5)
    & n5 = sum(n1,n4)
    & n4 = sum(n1,n3)
    & n3 = sum(n1,n2)
    & n2 = sum(n1,n1)
    & n1 = sum(n1,n0)
    & n20 = sum(n0,n20)
    & n19 = sum(n0,n19)
    & n18 = sum(n0,n18)
    & n17 = sum(n0,n17)
    & n16 = sum(n0,n16)
    & n15 = sum(n0,n15)
    & n14 = sum(n0,n14)
    & n13 = sum(n0,n13)
    & n12 = sum(n0,n12)
    & n11 = sum(n0,n11)
    & n10 = sum(n0,n10)
    & n9 = sum(n0,n9)
    & n8 = sum(n0,n8)
    & n7 = sum(n0,n7)
    & n6 = sum(n0,n6)
    & n5 = sum(n0,n5)
    & n4 = sum(n0,n4)
    & n3 = sum(n0,n3)
    & n2 = sum(n0,n2)
    & n1 = sum(n0,n1)
    & n0 = sum(n0,n0)
    & n19 = pred(n20)
    & n18 = pred(n19)
    & n17 = pred(n18)
    & n16 = pred(n17)
    & n15 = pred(n16)
    & n14 = pred(n15)
    & n13 = pred(n14)
    & n12 = pred(n13)
    & n11 = pred(n12)
    & n10 = pred(n11)
    & n9 = pred(n10)
    & n8 = pred(n9)
    & n7 = pred(n8)
    & n6 = pred(n7)
    & n5 = pred(n6)
    & n4 = pred(n5)
    & n3 = pred(n4)
    & n2 = pred(n3)
    & n1 = pred(n2)
    & n0 = pred(n1)
    & n20 = pred(n0)
    & n0 = succ(n20)
    & succ(n19) = n20
    & succ(n18) = n19
    & succ(n17) = n18
    & succ(n16) = n17
    & succ(n15) = n16
    & succ(n14) = n15
    & succ(n13) = n14
    & succ(n12) = n13
    & succ(n11) = n12
    & succ(n10) = n11
    & succ(n9) = n10
    & succ(n8) = n9
    & succ(n7) = n8
    & succ(n6) = n7
    & succ(n5) = n6
    & succ(n4) = n5
    & succ(n3) = n4
    & succ(n2) = n3
    & succ(n1) = n2
    & succ(n0) = n1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61,sK62,sK63,sK64,sK65,sK66,sK67,sK68,sK69,sK70,sK71,sK72,sK73,sK74,sK75,sK76,sK77,sK78,sK79,sK80,sK81,sK82,sK83,sK84,sK85,sK86,sK87,sK88,sK89,sK90,sK91])],[f1,f2]) ).

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

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

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

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

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

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

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

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

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

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

fof(f14,plain,
    succ(n10) = n11,
    inference(cnf_transformation,[],[f3]) ).

fof(f15,plain,
    succ(n11) = n12,
    inference(cnf_transformation,[],[f3]) ).

fof(f16,plain,
    succ(n12) = n13,
    inference(cnf_transformation,[],[f3]) ).

fof(f17,plain,
    succ(n13) = n14,
    inference(cnf_transformation,[],[f3]) ).

fof(f18,plain,
    succ(n14) = n15,
    inference(cnf_transformation,[],[f3]) ).

fof(f19,plain,
    succ(n15) = n16,
    inference(cnf_transformation,[],[f3]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f487,plain,
    ( n20 = sK0
    | n19 = sK0
    | n18 = sK0
    | n17 = sK0
    | n16 = sK0
    | n15 = sK0
    | n14 = sK0
    | n13 = sK0
    | n12 = sK0
    | n11 = sK0
    | n10 = sK0
    | n9 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0
    | n0 = sK0 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f488,plain,
    ( n20 = sK1
    | n19 = sK1
    | n18 = sK1
    | n17 = sK1
    | n16 = sK1
    | n15 = sK1
    | n14 = sK1
    | n13 = sK1
    | n12 = sK1
    | n11 = sK1
    | n10 = sK1
    | n9 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1
    | n0 = sK1 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f489,plain,
    sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f490,plain,
    sK34 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f491,plain,
    sK33 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f492,plain,
    sK35 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f493,plain,
    sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f494,plain,
    sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f495,plain,
    sK37 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f496,plain,
    sK39 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f497,plain,
    sK40 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f498,plain,
    sK42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f499,plain,
    sK41 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f500,plain,
    sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f501,plain,
    sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f502,plain,
    sK46 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f503,plain,
    sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f504,plain,
    sK47 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f505,plain,
    sK48 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f506,plain,
    sK50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f507,plain,
    sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f508,plain,
    sK51 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f509,plain,
    sK52 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f510,plain,
    sK54 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f511,plain,
    sK53 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f512,plain,
    sK55 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f513,plain,
    sK56 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f514,plain,
    sK58 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f515,plain,
    sK57 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f516,plain,
    sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f517,plain,
    sK60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f518,plain,
    sK62 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f519,plain,
    sK61 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f520,plain,
    sK63 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f521,plain,
    sK64 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f522,plain,
    sK66 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f523,plain,
    sK65 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f524,plain,
    sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f525,plain,
    sK68 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f526,plain,
    sK70 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f527,plain,
    sK69 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f528,plain,
    sK71 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f529,plain,
    sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f530,plain,
    sK74 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f531,plain,
    sK73 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f532,plain,
    sK75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f533,plain,
    sK76 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f534,plain,
    sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f535,plain,
    sK77 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f536,plain,
    sK79 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f537,plain,
    sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f538,plain,
    sK82 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f539,plain,
    sK81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f540,plain,
    sK83 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f541,plain,
    sK84 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f542,plain,
    sK86 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f543,plain,
    sK85 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f544,plain,
    sK87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f545,plain,
    sK88 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f546,plain,
    sK90 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f547,plain,
    sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK29))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f548,plain,
    sK91 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK29))))))))))))))))))))),
    inference(cnf_transformation,[],[f3]) ).

fof(f549,plain,
    sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))),
    inference(cnf_transformation,[],[f3]) ).

fof(f550,plain,
    sK3 = sum(pred(sK34),sum(succ(sK32),sum(pred(sK35),succ(sK33)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f551,plain,
    sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))),
    inference(cnf_transformation,[],[f3]) ).

fof(f552,plain,
    sK5 = sum(pred(sK38),sum(succ(sK36),sum(pred(sK39),succ(sK37)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f553,plain,
    sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))),
    inference(cnf_transformation,[],[f3]) ).

fof(f554,plain,
    sK7 = sum(pred(sK42),sum(succ(sK40),sum(pred(sK43),succ(sK41)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f555,plain,
    sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))),
    inference(cnf_transformation,[],[f3]) ).

fof(f556,plain,
    sK9 = sum(pred(sK46),sum(succ(sK44),sum(pred(sK47),succ(sK45)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f557,plain,
    sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))),
    inference(cnf_transformation,[],[f3]) ).

fof(f558,plain,
    sK11 = sum(pred(sK50),sum(succ(sK48),sum(pred(sK51),succ(sK49)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f559,plain,
    sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))),
    inference(cnf_transformation,[],[f3]) ).

fof(f560,plain,
    sK13 = sum(pred(sK54),sum(succ(sK52),sum(pred(sK55),succ(sK53)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f561,plain,
    sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))),
    inference(cnf_transformation,[],[f3]) ).

fof(f562,plain,
    sK15 = sum(pred(sK58),sum(succ(sK56),sum(pred(sK59),succ(sK57)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f563,plain,
    sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))),
    inference(cnf_transformation,[],[f3]) ).

fof(f564,plain,
    sK17 = sum(pred(sK62),sum(succ(sK60),sum(pred(sK63),succ(sK61)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f565,plain,
    sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))),
    inference(cnf_transformation,[],[f3]) ).

fof(f566,plain,
    sK19 = sum(pred(sK66),sum(succ(sK64),sum(pred(sK67),succ(sK65)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f567,plain,
    sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))),
    inference(cnf_transformation,[],[f3]) ).

fof(f568,plain,
    sK21 = sum(pred(sK70),sum(succ(sK68),sum(pred(sK71),succ(sK69)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f569,plain,
    sK22 = sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20))),
    inference(cnf_transformation,[],[f3]) ).

fof(f570,plain,
    sK23 = sum(pred(sK74),sum(succ(sK72),sum(pred(sK75),succ(sK73)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f571,plain,
    sK24 = sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22))),
    inference(cnf_transformation,[],[f3]) ).

fof(f572,plain,
    sK25 = sum(pred(sK78),sum(succ(sK76),sum(pred(sK79),succ(sK77)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f573,plain,
    sK26 = sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24))),
    inference(cnf_transformation,[],[f3]) ).

fof(f574,plain,
    sK27 = sum(pred(sK82),sum(succ(sK80),sum(pred(sK83),succ(sK81)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f575,plain,
    sK28 = sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26))),
    inference(cnf_transformation,[],[f3]) ).

fof(f576,plain,
    sK29 = sum(pred(sK86),sum(succ(sK84),sum(pred(sK87),succ(sK85)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f577,plain,
    sK30 = sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28))),
    inference(cnf_transformation,[],[f3]) ).

fof(f578,plain,
    sK31 = sum(pred(sK90),sum(succ(sK88),sum(pred(sK91),succ(sK89)))),
    inference(cnf_transformation,[],[f3]) ).

fof(f579,plain,
    ( sK30 != sK31
    | sK28 != sK29
    | sK26 != sK27
    | sK24 != sK25 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f580,plain,
    n0 != n1,
    inference(cnf_transformation,[],[f3]) ).

fof(f581,plain,
    n0 != n2,
    inference(cnf_transformation,[],[f3]) ).

fof(f582,plain,
    n0 != n3,
    inference(cnf_transformation,[],[f3]) ).

fof(f583,plain,
    n0 != n4,
    inference(cnf_transformation,[],[f3]) ).

fof(f584,plain,
    n0 != n5,
    inference(cnf_transformation,[],[f3]) ).

fof(f586,plain,
    n0 != n7,
    inference(cnf_transformation,[],[f3]) ).

fof(f587,plain,
    n0 != n8,
    inference(cnf_transformation,[],[f3]) ).

fof(f588,plain,
    n0 != n9,
    inference(cnf_transformation,[],[f3]) ).

fof(f589,plain,
    n0 != n10,
    inference(cnf_transformation,[],[f3]) ).

fof(f590,plain,
    n0 != n11,
    inference(cnf_transformation,[],[f3]) ).

fof(f591,plain,
    n0 != n12,
    inference(cnf_transformation,[],[f3]) ).

fof(f592,plain,
    n0 != n13,
    inference(cnf_transformation,[],[f3]) ).

fof(f593,plain,
    n0 != n14,
    inference(cnf_transformation,[],[f3]) ).

fof(f594,plain,
    n0 != n15,
    inference(cnf_transformation,[],[f3]) ).

fof(f597,plain,
    n0 != n18,
    inference(cnf_transformation,[],[f3]) ).

fof(f598,plain,
    n0 != n19,
    inference(cnf_transformation,[],[f3]) ).

fof(f599,plain,
    n0 != n20,
    inference(cnf_transformation,[],[f3]) ).

fof(f600,plain,
    n1 != n2,
    inference(cnf_transformation,[],[f3]) ).

fof(f602,plain,
    n1 != n4,
    inference(cnf_transformation,[],[f3]) ).

fof(f603,plain,
    n1 != n5,
    inference(cnf_transformation,[],[f3]) ).

fof(f605,plain,
    n1 != n7,
    inference(cnf_transformation,[],[f3]) ).

fof(f608,plain,
    n1 != n10,
    inference(cnf_transformation,[],[f3]) ).

fof(f609,plain,
    n1 != n11,
    inference(cnf_transformation,[],[f3]) ).

fof(f610,plain,
    n1 != n12,
    inference(cnf_transformation,[],[f3]) ).

fof(f613,plain,
    n1 != n15,
    inference(cnf_transformation,[],[f3]) ).

fof(f614,plain,
    n1 != n16,
    inference(cnf_transformation,[],[f3]) ).

fof(f617,plain,
    n1 != n19,
    inference(cnf_transformation,[],[f3]) ).

fof(f619,plain,
    n2 != n3,
    inference(cnf_transformation,[],[f3]) ).

fof(f620,plain,
    n2 != n4,
    inference(cnf_transformation,[],[f3]) ).

fof(f621,plain,
    n2 != n5,
    inference(cnf_transformation,[],[f3]) ).

fof(f623,plain,
    n2 != n7,
    inference(cnf_transformation,[],[f3]) ).

fof(f625,plain,
    n2 != n9,
    inference(cnf_transformation,[],[f3]) ).

fof(f626,plain,
    n2 != n10,
    inference(cnf_transformation,[],[f3]) ).

fof(f627,plain,
    n2 != n11,
    inference(cnf_transformation,[],[f3]) ).

fof(f629,plain,
    n2 != n13,
    inference(cnf_transformation,[],[f3]) ).

fof(f631,plain,
    n2 != n15,
    inference(cnf_transformation,[],[f3]) ).

fof(f633,plain,
    n2 != n17,
    inference(cnf_transformation,[],[f3]) ).

fof(f634,plain,
    n2 != n18,
    inference(cnf_transformation,[],[f3]) ).

fof(f635,plain,
    n2 != n19,
    inference(cnf_transformation,[],[f3]) ).

fof(f636,plain,
    n2 != n20,
    inference(cnf_transformation,[],[f3]) ).

fof(f638,plain,
    n3 != n5,
    inference(cnf_transformation,[],[f3]) ).

fof(f640,plain,
    n3 != n7,
    inference(cnf_transformation,[],[f3]) ).

fof(f644,plain,
    n3 != n11,
    inference(cnf_transformation,[],[f3]) ).

fof(f648,plain,
    n3 != n15,
    inference(cnf_transformation,[],[f3]) ).

fof(f650,plain,
    n3 != n17,
    inference(cnf_transformation,[],[f3]) ).

fof(f652,plain,
    n3 != n19,
    inference(cnf_transformation,[],[f3]) ).

fof(f653,plain,
    n3 != n20,
    inference(cnf_transformation,[],[f3]) ).

fof(f654,plain,
    n4 != n5,
    inference(cnf_transformation,[],[f3]) ).

fof(f655,plain,
    n4 != n6,
    inference(cnf_transformation,[],[f3]) ).

fof(f656,plain,
    n4 != n7,
    inference(cnf_transformation,[],[f3]) ).

fof(f657,plain,
    n4 != n8,
    inference(cnf_transformation,[],[f3]) ).

fof(f660,plain,
    n4 != n11,
    inference(cnf_transformation,[],[f3]) ).

fof(f662,plain,
    n4 != n13,
    inference(cnf_transformation,[],[f3]) ).

fof(f664,plain,
    n4 != n15,
    inference(cnf_transformation,[],[f3]) ).

fof(f665,plain,
    n4 != n16,
    inference(cnf_transformation,[],[f3]) ).

fof(f666,plain,
    n4 != n17,
    inference(cnf_transformation,[],[f3]) ).

fof(f669,plain,
    n4 != n20,
    inference(cnf_transformation,[],[f3]) ).

fof(f672,plain,
    n5 != n8,
    inference(cnf_transformation,[],[f3]) ).

fof(f673,plain,
    n5 != n9,
    inference(cnf_transformation,[],[f3]) ).

fof(f674,plain,
    n5 != n10,
    inference(cnf_transformation,[],[f3]) ).

fof(f675,plain,
    n5 != n11,
    inference(cnf_transformation,[],[f3]) ).

fof(f676,plain,
    n5 != n12,
    inference(cnf_transformation,[],[f3]) ).

fof(f677,plain,
    n5 != n13,
    inference(cnf_transformation,[],[f3]) ).

fof(f678,plain,
    n5 != n14,
    inference(cnf_transformation,[],[f3]) ).

fof(f679,plain,
    n5 != n15,
    inference(cnf_transformation,[],[f3]) ).

fof(f680,plain,
    n5 != n16,
    inference(cnf_transformation,[],[f3]) ).

fof(f682,plain,
    n5 != n18,
    inference(cnf_transformation,[],[f3]) ).

fof(f684,plain,
    n5 != n20,
    inference(cnf_transformation,[],[f3]) ).

fof(f685,plain,
    n6 != n7,
    inference(cnf_transformation,[],[f3]) ).

fof(f695,plain,
    n6 != n17,
    inference(cnf_transformation,[],[f3]) ).

fof(f697,plain,
    n6 != n19,
    inference(cnf_transformation,[],[f3]) ).

fof(f699,plain,
    n7 != n8,
    inference(cnf_transformation,[],[f3]) ).

fof(f700,plain,
    n7 != n9,
    inference(cnf_transformation,[],[f3]) ).

fof(f701,plain,
    n7 != n10,
    inference(cnf_transformation,[],[f3]) ).

fof(f702,plain,
    n7 != n11,
    inference(cnf_transformation,[],[f3]) ).

fof(f703,plain,
    n7 != n12,
    inference(cnf_transformation,[],[f3]) ).

fof(f704,plain,
    n7 != n13,
    inference(cnf_transformation,[],[f3]) ).

fof(f705,plain,
    n7 != n14,
    inference(cnf_transformation,[],[f3]) ).

fof(f708,plain,
    n7 != n17,
    inference(cnf_transformation,[],[f3]) ).

fof(f709,plain,
    n7 != n18,
    inference(cnf_transformation,[],[f3]) ).

fof(f710,plain,
    n7 != n19,
    inference(cnf_transformation,[],[f3]) ).

fof(f711,plain,
    n7 != n20,
    inference(cnf_transformation,[],[f3]) ).

fof(f713,plain,
    n8 != n10,
    inference(cnf_transformation,[],[f3]) ).

fof(f716,plain,
    n8 != n13,
    inference(cnf_transformation,[],[f3]) ).

fof(f717,plain,
    n8 != n14,
    inference(cnf_transformation,[],[f3]) ).

fof(f718,plain,
    n8 != n15,
    inference(cnf_transformation,[],[f3]) ).

fof(f720,plain,
    n8 != n17,
    inference(cnf_transformation,[],[f3]) ).

fof(f723,plain,
    n8 != n20,
    inference(cnf_transformation,[],[f3]) ).

fof(f727,plain,
    n9 != n13,
    inference(cnf_transformation,[],[f3]) ).

fof(f729,plain,
    n9 != n15,
    inference(cnf_transformation,[],[f3]) ).

fof(f731,plain,
    n9 != n17,
    inference(cnf_transformation,[],[f3]) ).

fof(f734,plain,
    n9 != n20,
    inference(cnf_transformation,[],[f3]) ).

fof(f737,plain,
    n10 != n13,
    inference(cnf_transformation,[],[f3]) ).

fof(f739,plain,
    n10 != n15,
    inference(cnf_transformation,[],[f3]) ).

fof(f740,plain,
    n10 != n16,
    inference(cnf_transformation,[],[f3]) ).

fof(f741,plain,
    n10 != n17,
    inference(cnf_transformation,[],[f3]) ).

fof(f742,plain,
    n10 != n18,
    inference(cnf_transformation,[],[f3]) ).

fof(f744,plain,
    n10 != n20,
    inference(cnf_transformation,[],[f3]) ).

fof(f746,plain,
    n11 != n13,
    inference(cnf_transformation,[],[f3]) ).

fof(f750,plain,
    n11 != n17,
    inference(cnf_transformation,[],[f3]) ).

fof(f756,plain,
    n12 != n15,
    inference(cnf_transformation,[],[f3]) ).

fof(f758,plain,
    n12 != n17,
    inference(cnf_transformation,[],[f3]) ).

fof(f760,plain,
    n12 != n19,
    inference(cnf_transformation,[],[f3]) ).

fof(f761,plain,
    n12 != n20,
    inference(cnf_transformation,[],[f3]) ).

fof(f763,plain,
    n13 != n15,
    inference(cnf_transformation,[],[f3]) ).

fof(f765,plain,
    n13 != n17,
    inference(cnf_transformation,[],[f3]) ).

fof(f766,plain,
    n13 != n18,
    inference(cnf_transformation,[],[f3]) ).

fof(f767,plain,
    n13 != n19,
    inference(cnf_transformation,[],[f3]) ).

fof(f768,plain,
    n13 != n20,
    inference(cnf_transformation,[],[f3]) ).

fof(f769,plain,
    n14 != n15,
    inference(cnf_transformation,[],[f3]) ).

fof(f771,plain,
    n14 != n17,
    inference(cnf_transformation,[],[f3]) ).

fof(f773,plain,
    n14 != n19,
    inference(cnf_transformation,[],[f3]) ).

fof(f774,plain,
    n14 != n20,
    inference(cnf_transformation,[],[f3]) ).

fof(f777,plain,
    n15 != n18,
    inference(cnf_transformation,[],[f3]) ).

fof(f778,plain,
    n15 != n19,
    inference(cnf_transformation,[],[f3]) ).

fof(f784,plain,
    n17 != n18,
    inference(cnf_transformation,[],[f3]) ).

fof(f788,plain,
    n18 != n20,
    inference(cnf_transformation,[],[f3]) ).

fof(f789,plain,
    n19 != n20,
    inference(cnf_transformation,[],[f3]) ).

cnf(c_49,plain,
    n19 != n20,
    inference(cnf_transformation,[],[f789]) ).

cnf(c_50,plain,
    n20 != n18,
    inference(cnf_transformation,[],[f788]) ).

cnf(c_54,plain,
    n18 != n17,
    inference(cnf_transformation,[],[f784]) ).

cnf(c_60,plain,
    n19 != n15,
    inference(cnf_transformation,[],[f778]) ).

cnf(c_61,plain,
    n18 != n15,
    inference(cnf_transformation,[],[f777]) ).

cnf(c_64,plain,
    n20 != n14,
    inference(cnf_transformation,[],[f774]) ).

cnf(c_65,plain,
    n19 != n14,
    inference(cnf_transformation,[],[f773]) ).

cnf(c_67,plain,
    n17 != n14,
    inference(cnf_transformation,[],[f771]) ).

cnf(c_69,plain,
    n15 != n14,
    inference(cnf_transformation,[],[f769]) ).

cnf(c_70,plain,
    n20 != n13,
    inference(cnf_transformation,[],[f768]) ).

cnf(c_71,plain,
    n19 != n13,
    inference(cnf_transformation,[],[f767]) ).

cnf(c_72,plain,
    n18 != n13,
    inference(cnf_transformation,[],[f766]) ).

cnf(c_73,plain,
    n17 != n13,
    inference(cnf_transformation,[],[f765]) ).

cnf(c_75,plain,
    n15 != n13,
    inference(cnf_transformation,[],[f763]) ).

cnf(c_77,plain,
    n20 != n12,
    inference(cnf_transformation,[],[f761]) ).

cnf(c_78,plain,
    n19 != n12,
    inference(cnf_transformation,[],[f760]) ).

cnf(c_80,plain,
    n17 != n12,
    inference(cnf_transformation,[],[f758]) ).

cnf(c_82,plain,
    n15 != n12,
    inference(cnf_transformation,[],[f756]) ).

cnf(c_88,plain,
    n17 != n11,
    inference(cnf_transformation,[],[f750]) ).

cnf(c_92,plain,
    n13 != n11,
    inference(cnf_transformation,[],[f746]) ).

cnf(c_94,plain,
    n20 != n10,
    inference(cnf_transformation,[],[f744]) ).

cnf(c_96,plain,
    n18 != n10,
    inference(cnf_transformation,[],[f742]) ).

cnf(c_97,plain,
    n17 != n10,
    inference(cnf_transformation,[],[f741]) ).

cnf(c_98,plain,
    n16 != n10,
    inference(cnf_transformation,[],[f740]) ).

cnf(c_99,plain,
    n15 != n10,
    inference(cnf_transformation,[],[f739]) ).

cnf(c_101,plain,
    n13 != n10,
    inference(cnf_transformation,[],[f737]) ).

cnf(c_104,plain,
    n20 != n9,
    inference(cnf_transformation,[],[f734]) ).

cnf(c_107,plain,
    n17 != n9,
    inference(cnf_transformation,[],[f731]) ).

cnf(c_109,plain,
    n15 != n9,
    inference(cnf_transformation,[],[f729]) ).

cnf(c_111,plain,
    n13 != n9,
    inference(cnf_transformation,[],[f727]) ).

cnf(c_115,plain,
    n20 != n8,
    inference(cnf_transformation,[],[f723]) ).

cnf(c_118,plain,
    n17 != n8,
    inference(cnf_transformation,[],[f720]) ).

cnf(c_120,plain,
    n15 != n8,
    inference(cnf_transformation,[],[f718]) ).

cnf(c_121,plain,
    n14 != n8,
    inference(cnf_transformation,[],[f717]) ).

cnf(c_122,plain,
    n13 != n8,
    inference(cnf_transformation,[],[f716]) ).

cnf(c_125,plain,
    n10 != n8,
    inference(cnf_transformation,[],[f713]) ).

cnf(c_127,plain,
    n20 != n7,
    inference(cnf_transformation,[],[f711]) ).

cnf(c_128,plain,
    n19 != n7,
    inference(cnf_transformation,[],[f710]) ).

cnf(c_129,plain,
    n18 != n7,
    inference(cnf_transformation,[],[f709]) ).

cnf(c_130,plain,
    n17 != n7,
    inference(cnf_transformation,[],[f708]) ).

cnf(c_133,plain,
    n14 != n7,
    inference(cnf_transformation,[],[f705]) ).

cnf(c_134,plain,
    n13 != n7,
    inference(cnf_transformation,[],[f704]) ).

cnf(c_135,plain,
    n12 != n7,
    inference(cnf_transformation,[],[f703]) ).

cnf(c_136,plain,
    n11 != n7,
    inference(cnf_transformation,[],[f702]) ).

cnf(c_137,plain,
    n10 != n7,
    inference(cnf_transformation,[],[f701]) ).

cnf(c_138,plain,
    n9 != n7,
    inference(cnf_transformation,[],[f700]) ).

cnf(c_139,plain,
    n8 != n7,
    inference(cnf_transformation,[],[f699]) ).

cnf(c_141,plain,
    n19 != n6,
    inference(cnf_transformation,[],[f697]) ).

cnf(c_143,plain,
    n17 != n6,
    inference(cnf_transformation,[],[f695]) ).

cnf(c_153,plain,
    n7 != n6,
    inference(cnf_transformation,[],[f685]) ).

cnf(c_154,plain,
    n20 != n5,
    inference(cnf_transformation,[],[f684]) ).

cnf(c_156,plain,
    n18 != n5,
    inference(cnf_transformation,[],[f682]) ).

cnf(c_158,plain,
    n16 != n5,
    inference(cnf_transformation,[],[f680]) ).

cnf(c_159,plain,
    n15 != n5,
    inference(cnf_transformation,[],[f679]) ).

cnf(c_160,plain,
    n14 != n5,
    inference(cnf_transformation,[],[f678]) ).

cnf(c_161,plain,
    n13 != n5,
    inference(cnf_transformation,[],[f677]) ).

cnf(c_162,plain,
    n12 != n5,
    inference(cnf_transformation,[],[f676]) ).

cnf(c_163,plain,
    n11 != n5,
    inference(cnf_transformation,[],[f675]) ).

cnf(c_164,plain,
    n10 != n5,
    inference(cnf_transformation,[],[f674]) ).

cnf(c_165,plain,
    n9 != n5,
    inference(cnf_transformation,[],[f673]) ).

cnf(c_166,plain,
    n8 != n5,
    inference(cnf_transformation,[],[f672]) ).

cnf(c_169,plain,
    n20 != n4,
    inference(cnf_transformation,[],[f669]) ).

cnf(c_172,plain,
    n17 != n4,
    inference(cnf_transformation,[],[f666]) ).

cnf(c_173,plain,
    n16 != n4,
    inference(cnf_transformation,[],[f665]) ).

cnf(c_174,plain,
    n15 != n4,
    inference(cnf_transformation,[],[f664]) ).

cnf(c_176,plain,
    n13 != n4,
    inference(cnf_transformation,[],[f662]) ).

cnf(c_178,plain,
    n11 != n4,
    inference(cnf_transformation,[],[f660]) ).

cnf(c_181,plain,
    n8 != n4,
    inference(cnf_transformation,[],[f657]) ).

cnf(c_182,plain,
    n7 != n4,
    inference(cnf_transformation,[],[f656]) ).

cnf(c_183,plain,
    n6 != n4,
    inference(cnf_transformation,[],[f655]) ).

cnf(c_184,plain,
    n5 != n4,
    inference(cnf_transformation,[],[f654]) ).

cnf(c_185,plain,
    n20 != n3,
    inference(cnf_transformation,[],[f653]) ).

cnf(c_186,plain,
    n19 != n3,
    inference(cnf_transformation,[],[f652]) ).

cnf(c_188,plain,
    n17 != n3,
    inference(cnf_transformation,[],[f650]) ).

cnf(c_190,plain,
    n15 != n3,
    inference(cnf_transformation,[],[f648]) ).

cnf(c_194,plain,
    n11 != n3,
    inference(cnf_transformation,[],[f644]) ).

cnf(c_198,plain,
    n7 != n3,
    inference(cnf_transformation,[],[f640]) ).

cnf(c_200,plain,
    n5 != n3,
    inference(cnf_transformation,[],[f638]) ).

cnf(c_202,plain,
    n20 != n2,
    inference(cnf_transformation,[],[f636]) ).

cnf(c_203,plain,
    n19 != n2,
    inference(cnf_transformation,[],[f635]) ).

cnf(c_204,plain,
    n18 != n2,
    inference(cnf_transformation,[],[f634]) ).

cnf(c_205,plain,
    n17 != n2,
    inference(cnf_transformation,[],[f633]) ).

cnf(c_207,plain,
    n15 != n2,
    inference(cnf_transformation,[],[f631]) ).

cnf(c_209,plain,
    n13 != n2,
    inference(cnf_transformation,[],[f629]) ).

cnf(c_211,plain,
    n11 != n2,
    inference(cnf_transformation,[],[f627]) ).

cnf(c_212,plain,
    n10 != n2,
    inference(cnf_transformation,[],[f626]) ).

cnf(c_213,plain,
    n9 != n2,
    inference(cnf_transformation,[],[f625]) ).

cnf(c_215,plain,
    n7 != n2,
    inference(cnf_transformation,[],[f623]) ).

cnf(c_217,plain,
    n5 != n2,
    inference(cnf_transformation,[],[f621]) ).

cnf(c_218,plain,
    n4 != n2,
    inference(cnf_transformation,[],[f620]) ).

cnf(c_219,plain,
    n3 != n2,
    inference(cnf_transformation,[],[f619]) ).

cnf(c_221,plain,
    n19 != n1,
    inference(cnf_transformation,[],[f617]) ).

cnf(c_224,plain,
    n16 != n1,
    inference(cnf_transformation,[],[f614]) ).

cnf(c_225,plain,
    n15 != n1,
    inference(cnf_transformation,[],[f613]) ).

cnf(c_228,plain,
    n12 != n1,
    inference(cnf_transformation,[],[f610]) ).

cnf(c_229,plain,
    n11 != n1,
    inference(cnf_transformation,[],[f609]) ).

cnf(c_230,plain,
    n10 != n1,
    inference(cnf_transformation,[],[f608]) ).

cnf(c_233,plain,
    n7 != n1,
    inference(cnf_transformation,[],[f605]) ).

cnf(c_235,plain,
    n5 != n1,
    inference(cnf_transformation,[],[f603]) ).

cnf(c_236,plain,
    n4 != n1,
    inference(cnf_transformation,[],[f602]) ).

cnf(c_238,plain,
    n2 != n1,
    inference(cnf_transformation,[],[f600]) ).

cnf(c_239,plain,
    n20 != n0,
    inference(cnf_transformation,[],[f599]) ).

cnf(c_240,plain,
    n19 != n0,
    inference(cnf_transformation,[],[f598]) ).

cnf(c_241,plain,
    n18 != n0,
    inference(cnf_transformation,[],[f597]) ).

cnf(c_244,plain,
    n15 != n0,
    inference(cnf_transformation,[],[f594]) ).

cnf(c_245,plain,
    n14 != n0,
    inference(cnf_transformation,[],[f593]) ).

cnf(c_246,plain,
    n13 != n0,
    inference(cnf_transformation,[],[f592]) ).

cnf(c_247,plain,
    n12 != n0,
    inference(cnf_transformation,[],[f591]) ).

cnf(c_248,plain,
    n11 != n0,
    inference(cnf_transformation,[],[f590]) ).

cnf(c_249,plain,
    n10 != n0,
    inference(cnf_transformation,[],[f589]) ).

cnf(c_250,plain,
    n9 != n0,
    inference(cnf_transformation,[],[f588]) ).

cnf(c_251,plain,
    n8 != n0,
    inference(cnf_transformation,[],[f587]) ).

cnf(c_252,plain,
    n7 != n0,
    inference(cnf_transformation,[],[f586]) ).

cnf(c_254,plain,
    n5 != n0,
    inference(cnf_transformation,[],[f584]) ).

cnf(c_255,plain,
    n4 != n0,
    inference(cnf_transformation,[],[f583]) ).

cnf(c_256,plain,
    n3 != n0,
    inference(cnf_transformation,[],[f582]) ).

cnf(c_257,plain,
    n2 != n0,
    inference(cnf_transformation,[],[f581]) ).

cnf(c_258,plain,
    n1 != n0,
    inference(cnf_transformation,[],[f580]) ).

cnf(c_259,plain,
    ( sK30 != sK31
    | sK28 != sK29
    | sK26 != sK27
    | sK24 != sK25 ),
    inference(cnf_transformation,[],[f579]) ).

cnf(c_260,plain,
    sum(pred(sK90),sum(succ(sK88),sum(pred(sK91),succ(sK89)))) = sK31,
    inference(cnf_transformation,[],[f578]) ).

cnf(c_261,plain,
    sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28))) = sK30,
    inference(cnf_transformation,[],[f577]) ).

cnf(c_262,plain,
    sum(pred(sK86),sum(succ(sK84),sum(pred(sK87),succ(sK85)))) = sK29,
    inference(cnf_transformation,[],[f576]) ).

cnf(c_263,plain,
    sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26))) = sK28,
    inference(cnf_transformation,[],[f575]) ).

cnf(c_264,plain,
    sum(pred(sK82),sum(succ(sK80),sum(pred(sK83),succ(sK81)))) = sK27,
    inference(cnf_transformation,[],[f574]) ).

cnf(c_265,plain,
    sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24))) = sK26,
    inference(cnf_transformation,[],[f573]) ).

cnf(c_266,plain,
    sum(pred(sK78),sum(succ(sK76),sum(pred(sK79),succ(sK77)))) = sK25,
    inference(cnf_transformation,[],[f572]) ).

cnf(c_267,plain,
    sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22))) = sK24,
    inference(cnf_transformation,[],[f571]) ).

cnf(c_268,plain,
    sum(pred(sK74),sum(succ(sK72),sum(pred(sK75),succ(sK73)))) = sK23,
    inference(cnf_transformation,[],[f570]) ).

cnf(c_269,plain,
    sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20))) = sK22,
    inference(cnf_transformation,[],[f569]) ).

cnf(c_270,plain,
    sum(pred(sK70),sum(succ(sK68),sum(pred(sK71),succ(sK69)))) = sK21,
    inference(cnf_transformation,[],[f568]) ).

cnf(c_271,plain,
    sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))) = sK20,
    inference(cnf_transformation,[],[f567]) ).

cnf(c_272,plain,
    sum(pred(sK66),sum(succ(sK64),sum(pred(sK67),succ(sK65)))) = sK19,
    inference(cnf_transformation,[],[f566]) ).

cnf(c_273,plain,
    sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))) = sK18,
    inference(cnf_transformation,[],[f565]) ).

cnf(c_274,plain,
    sum(pred(sK62),sum(succ(sK60),sum(pred(sK63),succ(sK61)))) = sK17,
    inference(cnf_transformation,[],[f564]) ).

cnf(c_275,plain,
    sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))) = sK16,
    inference(cnf_transformation,[],[f563]) ).

cnf(c_276,plain,
    sum(pred(sK58),sum(succ(sK56),sum(pred(sK59),succ(sK57)))) = sK15,
    inference(cnf_transformation,[],[f562]) ).

cnf(c_277,plain,
    sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))) = sK14,
    inference(cnf_transformation,[],[f561]) ).

cnf(c_278,plain,
    sum(pred(sK54),sum(succ(sK52),sum(pred(sK55),succ(sK53)))) = sK13,
    inference(cnf_transformation,[],[f560]) ).

cnf(c_279,plain,
    sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))) = sK12,
    inference(cnf_transformation,[],[f559]) ).

cnf(c_280,plain,
    sum(pred(sK50),sum(succ(sK48),sum(pred(sK51),succ(sK49)))) = sK11,
    inference(cnf_transformation,[],[f558]) ).

cnf(c_281,plain,
    sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))) = sK10,
    inference(cnf_transformation,[],[f557]) ).

cnf(c_282,plain,
    sum(pred(sK46),sum(succ(sK44),sum(pred(sK47),succ(sK45)))) = sK9,
    inference(cnf_transformation,[],[f556]) ).

cnf(c_283,plain,
    sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))) = sK8,
    inference(cnf_transformation,[],[f555]) ).

cnf(c_284,plain,
    sum(pred(sK42),sum(succ(sK40),sum(pred(sK43),succ(sK41)))) = sK7,
    inference(cnf_transformation,[],[f554]) ).

cnf(c_285,plain,
    sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))) = sK6,
    inference(cnf_transformation,[],[f553]) ).

cnf(c_286,plain,
    sum(pred(sK38),sum(succ(sK36),sum(pred(sK39),succ(sK37)))) = sK5,
    inference(cnf_transformation,[],[f552]) ).

cnf(c_287,plain,
    sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))) = sK4,
    inference(cnf_transformation,[],[f551]) ).

cnf(c_288,plain,
    sum(pred(sK34),sum(succ(sK32),sum(pred(sK35),succ(sK33)))) = sK3,
    inference(cnf_transformation,[],[f550]) ).

cnf(c_289,plain,
    sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) = sK2,
    inference(cnf_transformation,[],[f549]) ).

cnf(c_290,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK29))))))))))))))))))))) = sK91,
    inference(cnf_transformation,[],[f548]) ).

cnf(c_291,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK29))))))))))))))))))))) = sK89,
    inference(cnf_transformation,[],[f547]) ).

cnf(c_292,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28))))))))))))))))))))) = sK90,
    inference(cnf_transformation,[],[f546]) ).

cnf(c_293,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28))))))))))))))))))))) = sK88,
    inference(cnf_transformation,[],[f545]) ).

cnf(c_294,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27))))))))))))))))))))) = sK87,
    inference(cnf_transformation,[],[f544]) ).

cnf(c_295,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27))))))))))))))))))))) = sK85,
    inference(cnf_transformation,[],[f543]) ).

cnf(c_296,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26))))))))))))))))))))) = sK86,
    inference(cnf_transformation,[],[f542]) ).

cnf(c_297,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26))))))))))))))))))))) = sK84,
    inference(cnf_transformation,[],[f541]) ).

cnf(c_298,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25))))))))))))))))))))) = sK83,
    inference(cnf_transformation,[],[f540]) ).

cnf(c_299,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25))))))))))))))))))))) = sK81,
    inference(cnf_transformation,[],[f539]) ).

cnf(c_300,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24))))))))))))))))))))) = sK82,
    inference(cnf_transformation,[],[f538]) ).

cnf(c_301,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24))))))))))))))))))))) = sK80,
    inference(cnf_transformation,[],[f537]) ).

cnf(c_302,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23))))))))))))))))))))) = sK79,
    inference(cnf_transformation,[],[f536]) ).

cnf(c_303,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23))))))))))))))))))))) = sK77,
    inference(cnf_transformation,[],[f535]) ).

cnf(c_304,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22))))))))))))))))))))) = sK78,
    inference(cnf_transformation,[],[f534]) ).

cnf(c_305,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22))))))))))))))))))))) = sK76,
    inference(cnf_transformation,[],[f533]) ).

cnf(c_306,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21))))))))))))))))))))) = sK75,
    inference(cnf_transformation,[],[f532]) ).

cnf(c_307,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21))))))))))))))))))))) = sK73,
    inference(cnf_transformation,[],[f531]) ).

cnf(c_308,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20))))))))))))))))))))) = sK74,
    inference(cnf_transformation,[],[f530]) ).

cnf(c_309,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20))))))))))))))))))))) = sK72,
    inference(cnf_transformation,[],[f529]) ).

cnf(c_310,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19))))))))))))))))))))) = sK71,
    inference(cnf_transformation,[],[f528]) ).

cnf(c_311,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19))))))))))))))))))))) = sK69,
    inference(cnf_transformation,[],[f527]) ).

cnf(c_312,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))))))))))))) = sK70,
    inference(cnf_transformation,[],[f526]) ).

cnf(c_313,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))))))))))))) = sK68,
    inference(cnf_transformation,[],[f525]) ).

cnf(c_314,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17))))))))))))))))))))) = sK67,
    inference(cnf_transformation,[],[f524]) ).

cnf(c_315,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17))))))))))))))))))))) = sK65,
    inference(cnf_transformation,[],[f523]) ).

cnf(c_316,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16))))))))))))))))))))) = sK66,
    inference(cnf_transformation,[],[f522]) ).

cnf(c_317,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16))))))))))))))))))))) = sK64,
    inference(cnf_transformation,[],[f521]) ).

cnf(c_318,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15))))))))))))))))))))) = sK63,
    inference(cnf_transformation,[],[f520]) ).

cnf(c_319,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15))))))))))))))))))))) = sK61,
    inference(cnf_transformation,[],[f519]) ).

cnf(c_320,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))))))))))))) = sK62,
    inference(cnf_transformation,[],[f518]) ).

cnf(c_321,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))))))))))))) = sK60,
    inference(cnf_transformation,[],[f517]) ).

cnf(c_322,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13))))))))))))))))))))) = sK59,
    inference(cnf_transformation,[],[f516]) ).

cnf(c_323,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))))))))))))) = sK57,
    inference(cnf_transformation,[],[f515]) ).

cnf(c_324,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12))))))))))))))))))))) = sK58,
    inference(cnf_transformation,[],[f514]) ).

cnf(c_325,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12))))))))))))))))))))) = sK56,
    inference(cnf_transformation,[],[f513]) ).

cnf(c_326,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11))))))))))))))))))))) = sK55,
    inference(cnf_transformation,[],[f512]) ).

cnf(c_327,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11))))))))))))))))))))) = sK53,
    inference(cnf_transformation,[],[f511]) ).

cnf(c_328,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10))))))))))))))))))))) = sK54,
    inference(cnf_transformation,[],[f510]) ).

cnf(c_329,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10))))))))))))))))))))) = sK52,
    inference(cnf_transformation,[],[f509]) ).

cnf(c_330,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9))))))))))))))))))))) = sK51,
    inference(cnf_transformation,[],[f508]) ).

cnf(c_331,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9))))))))))))))))))))) = sK49,
    inference(cnf_transformation,[],[f507]) ).

cnf(c_332,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))))))))))))) = sK50,
    inference(cnf_transformation,[],[f506]) ).

cnf(c_333,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))))))))))))) = sK48,
    inference(cnf_transformation,[],[f505]) ).

cnf(c_334,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7))))))))))))))))))))) = sK47,
    inference(cnf_transformation,[],[f504]) ).

cnf(c_335,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7))))))))))))))))))))) = sK45,
    inference(cnf_transformation,[],[f503]) ).

cnf(c_336,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6))))))))))))))))))))) = sK46,
    inference(cnf_transformation,[],[f502]) ).

cnf(c_337,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))))))))))))) = sK44,
    inference(cnf_transformation,[],[f501]) ).

cnf(c_338,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5))))))))))))))))))))) = sK43,
    inference(cnf_transformation,[],[f500]) ).

cnf(c_339,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5))))))))))))))))))))) = sK41,
    inference(cnf_transformation,[],[f499]) ).

cnf(c_340,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4))))))))))))))))))))) = sK42,
    inference(cnf_transformation,[],[f498]) ).

cnf(c_341,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4))))))))))))))))))))) = sK40,
    inference(cnf_transformation,[],[f497]) ).

cnf(c_342,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3))))))))))))))))))))) = sK39,
    inference(cnf_transformation,[],[f496]) ).

cnf(c_343,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))))))))))))) = sK37,
    inference(cnf_transformation,[],[f495]) ).

cnf(c_344,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2))))))))))))))))))))) = sK38,
    inference(cnf_transformation,[],[f494]) ).

cnf(c_345,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2))))))))))))))))))))) = sK36,
    inference(cnf_transformation,[],[f493]) ).

cnf(c_346,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))))))))))))) = sK35,
    inference(cnf_transformation,[],[f492]) ).

cnf(c_347,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))))))))))))) = sK33,
    inference(cnf_transformation,[],[f491]) ).

cnf(c_348,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0))))))))))))))))))))) = sK34,
    inference(cnf_transformation,[],[f490]) ).

cnf(c_349,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0))))))))))))))))))))) = sK32,
    inference(cnf_transformation,[],[f489]) ).

cnf(c_350,plain,
    ( n19 = sK1
    | n20 = sK1
    | n18 = sK1
    | n17 = sK1
    | n16 = sK1
    | n15 = sK1
    | n14 = sK1
    | n13 = sK1
    | n12 = sK1
    | n11 = sK1
    | n10 = sK1
    | n9 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1
    | n0 = sK1 ),
    inference(cnf_transformation,[],[f488]) ).

cnf(c_351,plain,
    ( n19 = sK0
    | n20 = sK0
    | n18 = sK0
    | n17 = sK0
    | n16 = sK0
    | n15 = sK0
    | n14 = sK0
    | n13 = sK0
    | n12 = sK0
    | n11 = sK0
    | n10 = sK0
    | n9 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0
    | n0 = sK0 ),
    inference(cnf_transformation,[],[f487]) ).

cnf(c_352,plain,
    sum(n20,n20) = n19,
    inference(cnf_transformation,[],[f486]) ).

cnf(c_353,plain,
    sum(n20,n19) = n18,
    inference(cnf_transformation,[],[f485]) ).

cnf(c_354,plain,
    sum(n20,n18) = n17,
    inference(cnf_transformation,[],[f484]) ).

cnf(c_355,plain,
    sum(n20,n17) = n16,
    inference(cnf_transformation,[],[f483]) ).

cnf(c_356,plain,
    sum(n20,n16) = n15,
    inference(cnf_transformation,[],[f482]) ).

cnf(c_357,plain,
    sum(n20,n15) = n14,
    inference(cnf_transformation,[],[f481]) ).

cnf(c_358,plain,
    sum(n20,n14) = n13,
    inference(cnf_transformation,[],[f480]) ).

cnf(c_359,plain,
    sum(n20,n13) = n12,
    inference(cnf_transformation,[],[f479]) ).

cnf(c_360,plain,
    sum(n20,n12) = n11,
    inference(cnf_transformation,[],[f478]) ).

cnf(c_361,plain,
    sum(n20,n11) = n10,
    inference(cnf_transformation,[],[f477]) ).

cnf(c_362,plain,
    sum(n20,n10) = n9,
    inference(cnf_transformation,[],[f476]) ).

cnf(c_363,plain,
    sum(n20,n9) = n8,
    inference(cnf_transformation,[],[f475]) ).

cnf(c_364,plain,
    sum(n20,n8) = n7,
    inference(cnf_transformation,[],[f474]) ).

cnf(c_365,plain,
    sum(n20,n7) = n6,
    inference(cnf_transformation,[],[f473]) ).

cnf(c_366,plain,
    sum(n20,n6) = n5,
    inference(cnf_transformation,[],[f472]) ).

cnf(c_367,plain,
    sum(n20,n5) = n4,
    inference(cnf_transformation,[],[f471]) ).

cnf(c_368,plain,
    sum(n20,n4) = n3,
    inference(cnf_transformation,[],[f470]) ).

cnf(c_369,plain,
    sum(n20,n3) = n2,
    inference(cnf_transformation,[],[f469]) ).

cnf(c_370,plain,
    sum(n20,n2) = n1,
    inference(cnf_transformation,[],[f468]) ).

cnf(c_371,plain,
    sum(n20,n1) = n0,
    inference(cnf_transformation,[],[f467]) ).

cnf(c_372,plain,
    sum(n20,n0) = n20,
    inference(cnf_transformation,[],[f466]) ).

cnf(c_373,plain,
    sum(n19,n20) = n18,
    inference(cnf_transformation,[],[f465]) ).

cnf(c_374,plain,
    sum(n19,n19) = n17,
    inference(cnf_transformation,[],[f464]) ).

cnf(c_375,plain,
    sum(n19,n18) = n16,
    inference(cnf_transformation,[],[f463]) ).

cnf(c_376,plain,
    sum(n19,n17) = n15,
    inference(cnf_transformation,[],[f462]) ).

cnf(c_377,plain,
    sum(n19,n16) = n14,
    inference(cnf_transformation,[],[f461]) ).

cnf(c_378,plain,
    sum(n19,n15) = n13,
    inference(cnf_transformation,[],[f460]) ).

cnf(c_379,plain,
    sum(n19,n14) = n12,
    inference(cnf_transformation,[],[f459]) ).

cnf(c_380,plain,
    sum(n19,n13) = n11,
    inference(cnf_transformation,[],[f458]) ).

cnf(c_381,plain,
    sum(n19,n12) = n10,
    inference(cnf_transformation,[],[f457]) ).

cnf(c_382,plain,
    sum(n19,n11) = n9,
    inference(cnf_transformation,[],[f456]) ).

cnf(c_383,plain,
    sum(n19,n10) = n8,
    inference(cnf_transformation,[],[f455]) ).

cnf(c_384,plain,
    sum(n19,n9) = n7,
    inference(cnf_transformation,[],[f454]) ).

cnf(c_385,plain,
    sum(n19,n8) = n6,
    inference(cnf_transformation,[],[f453]) ).

cnf(c_386,plain,
    sum(n19,n7) = n5,
    inference(cnf_transformation,[],[f452]) ).

cnf(c_387,plain,
    sum(n19,n6) = n4,
    inference(cnf_transformation,[],[f451]) ).

cnf(c_388,plain,
    sum(n19,n5) = n3,
    inference(cnf_transformation,[],[f450]) ).

cnf(c_389,plain,
    sum(n19,n4) = n2,
    inference(cnf_transformation,[],[f449]) ).

cnf(c_390,plain,
    sum(n19,n3) = n1,
    inference(cnf_transformation,[],[f448]) ).

cnf(c_391,plain,
    sum(n19,n2) = n0,
    inference(cnf_transformation,[],[f447]) ).

cnf(c_392,plain,
    sum(n19,n1) = n20,
    inference(cnf_transformation,[],[f446]) ).

cnf(c_393,plain,
    sum(n19,n0) = n19,
    inference(cnf_transformation,[],[f445]) ).

cnf(c_394,plain,
    sum(n18,n20) = n17,
    inference(cnf_transformation,[],[f444]) ).

cnf(c_395,plain,
    sum(n18,n19) = n16,
    inference(cnf_transformation,[],[f443]) ).

cnf(c_396,plain,
    sum(n18,n18) = n15,
    inference(cnf_transformation,[],[f442]) ).

cnf(c_397,plain,
    sum(n18,n17) = n14,
    inference(cnf_transformation,[],[f441]) ).

cnf(c_398,plain,
    sum(n18,n16) = n13,
    inference(cnf_transformation,[],[f440]) ).

cnf(c_399,plain,
    sum(n18,n15) = n12,
    inference(cnf_transformation,[],[f439]) ).

cnf(c_400,plain,
    sum(n18,n14) = n11,
    inference(cnf_transformation,[],[f438]) ).

cnf(c_401,plain,
    sum(n18,n13) = n10,
    inference(cnf_transformation,[],[f437]) ).

cnf(c_402,plain,
    sum(n18,n12) = n9,
    inference(cnf_transformation,[],[f436]) ).

cnf(c_403,plain,
    sum(n18,n11) = n8,
    inference(cnf_transformation,[],[f435]) ).

cnf(c_404,plain,
    sum(n18,n10) = n7,
    inference(cnf_transformation,[],[f434]) ).

cnf(c_405,plain,
    sum(n18,n9) = n6,
    inference(cnf_transformation,[],[f433]) ).

cnf(c_406,plain,
    sum(n18,n8) = n5,
    inference(cnf_transformation,[],[f432]) ).

cnf(c_407,plain,
    sum(n18,n7) = n4,
    inference(cnf_transformation,[],[f431]) ).

cnf(c_408,plain,
    sum(n18,n6) = n3,
    inference(cnf_transformation,[],[f430]) ).

cnf(c_409,plain,
    sum(n18,n5) = n2,
    inference(cnf_transformation,[],[f429]) ).

cnf(c_410,plain,
    sum(n18,n4) = n1,
    inference(cnf_transformation,[],[f428]) ).

cnf(c_411,plain,
    sum(n18,n3) = n0,
    inference(cnf_transformation,[],[f427]) ).

cnf(c_412,plain,
    sum(n18,n2) = n20,
    inference(cnf_transformation,[],[f426]) ).

cnf(c_413,plain,
    sum(n18,n1) = n19,
    inference(cnf_transformation,[],[f425]) ).

cnf(c_414,plain,
    sum(n18,n0) = n18,
    inference(cnf_transformation,[],[f424]) ).

cnf(c_415,plain,
    sum(n17,n20) = n16,
    inference(cnf_transformation,[],[f423]) ).

cnf(c_416,plain,
    sum(n17,n19) = n15,
    inference(cnf_transformation,[],[f422]) ).

cnf(c_417,plain,
    sum(n17,n18) = n14,
    inference(cnf_transformation,[],[f421]) ).

cnf(c_418,plain,
    sum(n17,n17) = n13,
    inference(cnf_transformation,[],[f420]) ).

cnf(c_419,plain,
    sum(n17,n16) = n12,
    inference(cnf_transformation,[],[f419]) ).

cnf(c_420,plain,
    sum(n17,n15) = n11,
    inference(cnf_transformation,[],[f418]) ).

cnf(c_421,plain,
    sum(n17,n14) = n10,
    inference(cnf_transformation,[],[f417]) ).

cnf(c_422,plain,
    sum(n17,n13) = n9,
    inference(cnf_transformation,[],[f416]) ).

cnf(c_423,plain,
    sum(n17,n12) = n8,
    inference(cnf_transformation,[],[f415]) ).

cnf(c_424,plain,
    sum(n17,n11) = n7,
    inference(cnf_transformation,[],[f414]) ).

cnf(c_425,plain,
    sum(n17,n10) = n6,
    inference(cnf_transformation,[],[f413]) ).

cnf(c_426,plain,
    sum(n17,n9) = n5,
    inference(cnf_transformation,[],[f412]) ).

cnf(c_427,plain,
    sum(n17,n8) = n4,
    inference(cnf_transformation,[],[f411]) ).

cnf(c_428,plain,
    sum(n17,n7) = n3,
    inference(cnf_transformation,[],[f410]) ).

cnf(c_429,plain,
    sum(n17,n6) = n2,
    inference(cnf_transformation,[],[f409]) ).

cnf(c_430,plain,
    sum(n17,n5) = n1,
    inference(cnf_transformation,[],[f408]) ).

cnf(c_431,plain,
    sum(n17,n4) = n0,
    inference(cnf_transformation,[],[f407]) ).

cnf(c_432,plain,
    sum(n17,n3) = n20,
    inference(cnf_transformation,[],[f406]) ).

cnf(c_433,plain,
    sum(n17,n2) = n19,
    inference(cnf_transformation,[],[f405]) ).

cnf(c_434,plain,
    sum(n17,n1) = n18,
    inference(cnf_transformation,[],[f404]) ).

cnf(c_435,plain,
    sum(n17,n0) = n17,
    inference(cnf_transformation,[],[f403]) ).

cnf(c_436,plain,
    sum(n16,n20) = n15,
    inference(cnf_transformation,[],[f402]) ).

cnf(c_437,plain,
    sum(n16,n19) = n14,
    inference(cnf_transformation,[],[f401]) ).

cnf(c_438,plain,
    sum(n16,n18) = n13,
    inference(cnf_transformation,[],[f400]) ).

cnf(c_439,plain,
    sum(n16,n17) = n12,
    inference(cnf_transformation,[],[f399]) ).

cnf(c_440,plain,
    sum(n16,n16) = n11,
    inference(cnf_transformation,[],[f398]) ).

cnf(c_441,plain,
    sum(n16,n15) = n10,
    inference(cnf_transformation,[],[f397]) ).

cnf(c_442,plain,
    sum(n16,n14) = n9,
    inference(cnf_transformation,[],[f396]) ).

cnf(c_443,plain,
    sum(n16,n13) = n8,
    inference(cnf_transformation,[],[f395]) ).

cnf(c_444,plain,
    sum(n16,n12) = n7,
    inference(cnf_transformation,[],[f394]) ).

cnf(c_445,plain,
    sum(n16,n11) = n6,
    inference(cnf_transformation,[],[f393]) ).

cnf(c_446,plain,
    sum(n16,n10) = n5,
    inference(cnf_transformation,[],[f392]) ).

cnf(c_447,plain,
    sum(n16,n9) = n4,
    inference(cnf_transformation,[],[f391]) ).

cnf(c_448,plain,
    sum(n16,n8) = n3,
    inference(cnf_transformation,[],[f390]) ).

cnf(c_449,plain,
    sum(n16,n7) = n2,
    inference(cnf_transformation,[],[f389]) ).

cnf(c_450,plain,
    sum(n16,n6) = n1,
    inference(cnf_transformation,[],[f388]) ).

cnf(c_451,plain,
    sum(n16,n5) = n0,
    inference(cnf_transformation,[],[f387]) ).

cnf(c_452,plain,
    sum(n16,n4) = n20,
    inference(cnf_transformation,[],[f386]) ).

cnf(c_453,plain,
    sum(n16,n3) = n19,
    inference(cnf_transformation,[],[f385]) ).

cnf(c_454,plain,
    sum(n16,n2) = n18,
    inference(cnf_transformation,[],[f384]) ).

cnf(c_455,plain,
    sum(n16,n1) = n17,
    inference(cnf_transformation,[],[f383]) ).

cnf(c_456,plain,
    sum(n16,n0) = n16,
    inference(cnf_transformation,[],[f382]) ).

cnf(c_457,plain,
    sum(n15,n20) = n14,
    inference(cnf_transformation,[],[f381]) ).

cnf(c_458,plain,
    sum(n15,n19) = n13,
    inference(cnf_transformation,[],[f380]) ).

cnf(c_459,plain,
    sum(n15,n18) = n12,
    inference(cnf_transformation,[],[f379]) ).

cnf(c_460,plain,
    sum(n15,n17) = n11,
    inference(cnf_transformation,[],[f378]) ).

cnf(c_461,plain,
    sum(n15,n16) = n10,
    inference(cnf_transformation,[],[f377]) ).

cnf(c_462,plain,
    sum(n15,n15) = n9,
    inference(cnf_transformation,[],[f376]) ).

cnf(c_463,plain,
    sum(n15,n14) = n8,
    inference(cnf_transformation,[],[f375]) ).

cnf(c_464,plain,
    sum(n15,n13) = n7,
    inference(cnf_transformation,[],[f374]) ).

cnf(c_465,plain,
    sum(n15,n12) = n6,
    inference(cnf_transformation,[],[f373]) ).

cnf(c_466,plain,
    sum(n15,n11) = n5,
    inference(cnf_transformation,[],[f372]) ).

cnf(c_467,plain,
    sum(n15,n10) = n4,
    inference(cnf_transformation,[],[f371]) ).

cnf(c_468,plain,
    sum(n15,n9) = n3,
    inference(cnf_transformation,[],[f370]) ).

cnf(c_469,plain,
    sum(n15,n8) = n2,
    inference(cnf_transformation,[],[f369]) ).

cnf(c_470,plain,
    sum(n15,n7) = n1,
    inference(cnf_transformation,[],[f368]) ).

cnf(c_471,plain,
    sum(n15,n6) = n0,
    inference(cnf_transformation,[],[f367]) ).

cnf(c_472,plain,
    sum(n15,n5) = n20,
    inference(cnf_transformation,[],[f366]) ).

cnf(c_473,plain,
    sum(n15,n4) = n19,
    inference(cnf_transformation,[],[f365]) ).

cnf(c_474,plain,
    sum(n15,n3) = n18,
    inference(cnf_transformation,[],[f364]) ).

cnf(c_475,plain,
    sum(n15,n2) = n17,
    inference(cnf_transformation,[],[f363]) ).

cnf(c_476,plain,
    sum(n15,n1) = n16,
    inference(cnf_transformation,[],[f362]) ).

cnf(c_477,plain,
    sum(n15,n0) = n15,
    inference(cnf_transformation,[],[f361]) ).

cnf(c_478,plain,
    sum(n14,n20) = n13,
    inference(cnf_transformation,[],[f360]) ).

cnf(c_479,plain,
    sum(n14,n19) = n12,
    inference(cnf_transformation,[],[f359]) ).

cnf(c_480,plain,
    sum(n14,n18) = n11,
    inference(cnf_transformation,[],[f358]) ).

cnf(c_481,plain,
    sum(n14,n17) = n10,
    inference(cnf_transformation,[],[f357]) ).

cnf(c_482,plain,
    sum(n14,n16) = n9,
    inference(cnf_transformation,[],[f356]) ).

cnf(c_483,plain,
    sum(n14,n15) = n8,
    inference(cnf_transformation,[],[f355]) ).

cnf(c_484,plain,
    sum(n14,n14) = n7,
    inference(cnf_transformation,[],[f354]) ).

cnf(c_485,plain,
    sum(n14,n13) = n6,
    inference(cnf_transformation,[],[f353]) ).

cnf(c_486,plain,
    sum(n14,n12) = n5,
    inference(cnf_transformation,[],[f352]) ).

cnf(c_487,plain,
    sum(n14,n11) = n4,
    inference(cnf_transformation,[],[f351]) ).

cnf(c_488,plain,
    sum(n14,n10) = n3,
    inference(cnf_transformation,[],[f350]) ).

cnf(c_489,plain,
    sum(n14,n9) = n2,
    inference(cnf_transformation,[],[f349]) ).

cnf(c_490,plain,
    sum(n14,n8) = n1,
    inference(cnf_transformation,[],[f348]) ).

cnf(c_491,plain,
    sum(n14,n7) = n0,
    inference(cnf_transformation,[],[f347]) ).

cnf(c_492,plain,
    sum(n14,n6) = n20,
    inference(cnf_transformation,[],[f346]) ).

cnf(c_493,plain,
    sum(n14,n5) = n19,
    inference(cnf_transformation,[],[f345]) ).

cnf(c_494,plain,
    sum(n14,n4) = n18,
    inference(cnf_transformation,[],[f344]) ).

cnf(c_495,plain,
    sum(n14,n3) = n17,
    inference(cnf_transformation,[],[f343]) ).

cnf(c_496,plain,
    sum(n14,n2) = n16,
    inference(cnf_transformation,[],[f342]) ).

cnf(c_497,plain,
    sum(n14,n1) = n15,
    inference(cnf_transformation,[],[f341]) ).

cnf(c_498,plain,
    sum(n14,n0) = n14,
    inference(cnf_transformation,[],[f340]) ).

cnf(c_499,plain,
    sum(n13,n20) = n12,
    inference(cnf_transformation,[],[f339]) ).

cnf(c_500,plain,
    sum(n13,n19) = n11,
    inference(cnf_transformation,[],[f338]) ).

cnf(c_501,plain,
    sum(n13,n18) = n10,
    inference(cnf_transformation,[],[f337]) ).

cnf(c_502,plain,
    sum(n13,n17) = n9,
    inference(cnf_transformation,[],[f336]) ).

cnf(c_503,plain,
    sum(n13,n16) = n8,
    inference(cnf_transformation,[],[f335]) ).

cnf(c_504,plain,
    sum(n13,n15) = n7,
    inference(cnf_transformation,[],[f334]) ).

cnf(c_505,plain,
    sum(n13,n14) = n6,
    inference(cnf_transformation,[],[f333]) ).

cnf(c_506,plain,
    sum(n13,n13) = n5,
    inference(cnf_transformation,[],[f332]) ).

cnf(c_507,plain,
    sum(n13,n12) = n4,
    inference(cnf_transformation,[],[f331]) ).

cnf(c_508,plain,
    sum(n13,n11) = n3,
    inference(cnf_transformation,[],[f330]) ).

cnf(c_509,plain,
    sum(n13,n10) = n2,
    inference(cnf_transformation,[],[f329]) ).

cnf(c_510,plain,
    sum(n13,n9) = n1,
    inference(cnf_transformation,[],[f328]) ).

cnf(c_511,plain,
    sum(n13,n8) = n0,
    inference(cnf_transformation,[],[f327]) ).

cnf(c_512,plain,
    sum(n13,n7) = n20,
    inference(cnf_transformation,[],[f326]) ).

cnf(c_513,plain,
    sum(n13,n6) = n19,
    inference(cnf_transformation,[],[f325]) ).

cnf(c_514,plain,
    sum(n13,n5) = n18,
    inference(cnf_transformation,[],[f324]) ).

cnf(c_515,plain,
    sum(n13,n4) = n17,
    inference(cnf_transformation,[],[f323]) ).

cnf(c_516,plain,
    sum(n13,n3) = n16,
    inference(cnf_transformation,[],[f322]) ).

cnf(c_517,plain,
    sum(n13,n2) = n15,
    inference(cnf_transformation,[],[f321]) ).

cnf(c_518,plain,
    sum(n13,n1) = n14,
    inference(cnf_transformation,[],[f320]) ).

cnf(c_519,plain,
    sum(n13,n0) = n13,
    inference(cnf_transformation,[],[f319]) ).

cnf(c_520,plain,
    sum(n12,n20) = n11,
    inference(cnf_transformation,[],[f318]) ).

cnf(c_521,plain,
    sum(n12,n19) = n10,
    inference(cnf_transformation,[],[f317]) ).

cnf(c_522,plain,
    sum(n12,n18) = n9,
    inference(cnf_transformation,[],[f316]) ).

cnf(c_523,plain,
    sum(n12,n17) = n8,
    inference(cnf_transformation,[],[f315]) ).

cnf(c_524,plain,
    sum(n12,n16) = n7,
    inference(cnf_transformation,[],[f314]) ).

cnf(c_525,plain,
    sum(n12,n15) = n6,
    inference(cnf_transformation,[],[f313]) ).

cnf(c_526,plain,
    sum(n12,n14) = n5,
    inference(cnf_transformation,[],[f312]) ).

cnf(c_527,plain,
    sum(n12,n13) = n4,
    inference(cnf_transformation,[],[f311]) ).

cnf(c_528,plain,
    sum(n12,n12) = n3,
    inference(cnf_transformation,[],[f310]) ).

cnf(c_529,plain,
    sum(n12,n11) = n2,
    inference(cnf_transformation,[],[f309]) ).

cnf(c_530,plain,
    sum(n12,n10) = n1,
    inference(cnf_transformation,[],[f308]) ).

cnf(c_531,plain,
    sum(n12,n9) = n0,
    inference(cnf_transformation,[],[f307]) ).

cnf(c_532,plain,
    sum(n12,n8) = n20,
    inference(cnf_transformation,[],[f306]) ).

cnf(c_533,plain,
    sum(n12,n7) = n19,
    inference(cnf_transformation,[],[f305]) ).

cnf(c_534,plain,
    sum(n12,n6) = n18,
    inference(cnf_transformation,[],[f304]) ).

cnf(c_535,plain,
    sum(n12,n5) = n17,
    inference(cnf_transformation,[],[f303]) ).

cnf(c_536,plain,
    sum(n12,n4) = n16,
    inference(cnf_transformation,[],[f302]) ).

cnf(c_537,plain,
    sum(n12,n3) = n15,
    inference(cnf_transformation,[],[f301]) ).

cnf(c_538,plain,
    sum(n12,n2) = n14,
    inference(cnf_transformation,[],[f300]) ).

cnf(c_539,plain,
    sum(n12,n1) = n13,
    inference(cnf_transformation,[],[f299]) ).

cnf(c_540,plain,
    sum(n12,n0) = n12,
    inference(cnf_transformation,[],[f298]) ).

cnf(c_541,plain,
    sum(n11,n20) = n10,
    inference(cnf_transformation,[],[f297]) ).

cnf(c_542,plain,
    sum(n11,n19) = n9,
    inference(cnf_transformation,[],[f296]) ).

cnf(c_543,plain,
    sum(n11,n18) = n8,
    inference(cnf_transformation,[],[f295]) ).

cnf(c_544,plain,
    sum(n11,n17) = n7,
    inference(cnf_transformation,[],[f294]) ).

cnf(c_545,plain,
    sum(n11,n16) = n6,
    inference(cnf_transformation,[],[f293]) ).

cnf(c_546,plain,
    sum(n11,n15) = n5,
    inference(cnf_transformation,[],[f292]) ).

cnf(c_547,plain,
    sum(n11,n14) = n4,
    inference(cnf_transformation,[],[f291]) ).

cnf(c_548,plain,
    sum(n11,n13) = n3,
    inference(cnf_transformation,[],[f290]) ).

cnf(c_549,plain,
    sum(n11,n12) = n2,
    inference(cnf_transformation,[],[f289]) ).

cnf(c_550,plain,
    sum(n11,n11) = n1,
    inference(cnf_transformation,[],[f288]) ).

cnf(c_551,plain,
    sum(n11,n10) = n0,
    inference(cnf_transformation,[],[f287]) ).

cnf(c_552,plain,
    sum(n11,n9) = n20,
    inference(cnf_transformation,[],[f286]) ).

cnf(c_553,plain,
    sum(n11,n8) = n19,
    inference(cnf_transformation,[],[f285]) ).

cnf(c_554,plain,
    sum(n11,n7) = n18,
    inference(cnf_transformation,[],[f284]) ).

cnf(c_555,plain,
    sum(n11,n6) = n17,
    inference(cnf_transformation,[],[f283]) ).

cnf(c_556,plain,
    sum(n11,n5) = n16,
    inference(cnf_transformation,[],[f282]) ).

cnf(c_557,plain,
    sum(n11,n4) = n15,
    inference(cnf_transformation,[],[f281]) ).

cnf(c_558,plain,
    sum(n11,n3) = n14,
    inference(cnf_transformation,[],[f280]) ).

cnf(c_559,plain,
    sum(n11,n2) = n13,
    inference(cnf_transformation,[],[f279]) ).

cnf(c_560,plain,
    sum(n11,n1) = n12,
    inference(cnf_transformation,[],[f278]) ).

cnf(c_561,plain,
    sum(n11,n0) = n11,
    inference(cnf_transformation,[],[f277]) ).

cnf(c_562,plain,
    sum(n10,n20) = n9,
    inference(cnf_transformation,[],[f276]) ).

cnf(c_563,plain,
    sum(n10,n19) = n8,
    inference(cnf_transformation,[],[f275]) ).

cnf(c_564,plain,
    sum(n10,n18) = n7,
    inference(cnf_transformation,[],[f274]) ).

cnf(c_565,plain,
    sum(n10,n17) = n6,
    inference(cnf_transformation,[],[f273]) ).

cnf(c_566,plain,
    sum(n10,n16) = n5,
    inference(cnf_transformation,[],[f272]) ).

cnf(c_567,plain,
    sum(n10,n15) = n4,
    inference(cnf_transformation,[],[f271]) ).

cnf(c_568,plain,
    sum(n10,n14) = n3,
    inference(cnf_transformation,[],[f270]) ).

cnf(c_569,plain,
    sum(n10,n13) = n2,
    inference(cnf_transformation,[],[f269]) ).

cnf(c_570,plain,
    sum(n10,n12) = n1,
    inference(cnf_transformation,[],[f268]) ).

cnf(c_571,plain,
    sum(n10,n11) = n0,
    inference(cnf_transformation,[],[f267]) ).

cnf(c_572,plain,
    sum(n10,n10) = n20,
    inference(cnf_transformation,[],[f266]) ).

cnf(c_573,plain,
    sum(n10,n9) = n19,
    inference(cnf_transformation,[],[f265]) ).

cnf(c_574,plain,
    sum(n10,n8) = n18,
    inference(cnf_transformation,[],[f264]) ).

cnf(c_575,plain,
    sum(n10,n7) = n17,
    inference(cnf_transformation,[],[f263]) ).

cnf(c_576,plain,
    sum(n10,n6) = n16,
    inference(cnf_transformation,[],[f262]) ).

cnf(c_577,plain,
    sum(n10,n5) = n15,
    inference(cnf_transformation,[],[f261]) ).

cnf(c_578,plain,
    sum(n10,n4) = n14,
    inference(cnf_transformation,[],[f260]) ).

cnf(c_579,plain,
    sum(n10,n3) = n13,
    inference(cnf_transformation,[],[f259]) ).

cnf(c_580,plain,
    sum(n10,n2) = n12,
    inference(cnf_transformation,[],[f258]) ).

cnf(c_581,plain,
    sum(n10,n1) = n11,
    inference(cnf_transformation,[],[f257]) ).

cnf(c_582,plain,
    sum(n10,n0) = n10,
    inference(cnf_transformation,[],[f256]) ).

cnf(c_583,plain,
    sum(n9,n20) = n8,
    inference(cnf_transformation,[],[f255]) ).

cnf(c_584,plain,
    sum(n9,n19) = n7,
    inference(cnf_transformation,[],[f254]) ).

cnf(c_585,plain,
    sum(n9,n18) = n6,
    inference(cnf_transformation,[],[f253]) ).

cnf(c_586,plain,
    sum(n9,n17) = n5,
    inference(cnf_transformation,[],[f252]) ).

cnf(c_587,plain,
    sum(n9,n16) = n4,
    inference(cnf_transformation,[],[f251]) ).

cnf(c_588,plain,
    sum(n9,n15) = n3,
    inference(cnf_transformation,[],[f250]) ).

cnf(c_589,plain,
    sum(n9,n14) = n2,
    inference(cnf_transformation,[],[f249]) ).

cnf(c_590,plain,
    sum(n9,n13) = n1,
    inference(cnf_transformation,[],[f248]) ).

cnf(c_591,plain,
    sum(n9,n12) = n0,
    inference(cnf_transformation,[],[f247]) ).

cnf(c_592,plain,
    sum(n9,n11) = n20,
    inference(cnf_transformation,[],[f246]) ).

cnf(c_593,plain,
    sum(n9,n10) = n19,
    inference(cnf_transformation,[],[f245]) ).

cnf(c_594,plain,
    sum(n9,n9) = n18,
    inference(cnf_transformation,[],[f244]) ).

cnf(c_595,plain,
    sum(n9,n8) = n17,
    inference(cnf_transformation,[],[f243]) ).

cnf(c_596,plain,
    sum(n9,n7) = n16,
    inference(cnf_transformation,[],[f242]) ).

cnf(c_597,plain,
    sum(n9,n6) = n15,
    inference(cnf_transformation,[],[f241]) ).

cnf(c_598,plain,
    sum(n9,n5) = n14,
    inference(cnf_transformation,[],[f240]) ).

cnf(c_599,plain,
    sum(n9,n4) = n13,
    inference(cnf_transformation,[],[f239]) ).

cnf(c_600,plain,
    sum(n9,n3) = n12,
    inference(cnf_transformation,[],[f238]) ).

cnf(c_601,plain,
    sum(n9,n2) = n11,
    inference(cnf_transformation,[],[f237]) ).

cnf(c_602,plain,
    sum(n9,n1) = n10,
    inference(cnf_transformation,[],[f236]) ).

cnf(c_603,plain,
    sum(n9,n0) = n9,
    inference(cnf_transformation,[],[f235]) ).

cnf(c_604,plain,
    sum(n8,n20) = n7,
    inference(cnf_transformation,[],[f234]) ).

cnf(c_605,plain,
    sum(n8,n19) = n6,
    inference(cnf_transformation,[],[f233]) ).

cnf(c_606,plain,
    sum(n8,n18) = n5,
    inference(cnf_transformation,[],[f232]) ).

cnf(c_607,plain,
    sum(n8,n17) = n4,
    inference(cnf_transformation,[],[f231]) ).

cnf(c_608,plain,
    sum(n8,n16) = n3,
    inference(cnf_transformation,[],[f230]) ).

cnf(c_609,plain,
    sum(n8,n15) = n2,
    inference(cnf_transformation,[],[f229]) ).

cnf(c_610,plain,
    sum(n8,n14) = n1,
    inference(cnf_transformation,[],[f228]) ).

cnf(c_611,plain,
    sum(n8,n13) = n0,
    inference(cnf_transformation,[],[f227]) ).

cnf(c_612,plain,
    sum(n8,n12) = n20,
    inference(cnf_transformation,[],[f226]) ).

cnf(c_613,plain,
    sum(n8,n11) = n19,
    inference(cnf_transformation,[],[f225]) ).

cnf(c_614,plain,
    sum(n8,n10) = n18,
    inference(cnf_transformation,[],[f224]) ).

cnf(c_615,plain,
    sum(n8,n9) = n17,
    inference(cnf_transformation,[],[f223]) ).

cnf(c_616,plain,
    sum(n8,n8) = n16,
    inference(cnf_transformation,[],[f222]) ).

cnf(c_617,plain,
    sum(n8,n7) = n15,
    inference(cnf_transformation,[],[f221]) ).

cnf(c_618,plain,
    sum(n8,n6) = n14,
    inference(cnf_transformation,[],[f220]) ).

cnf(c_619,plain,
    sum(n8,n5) = n13,
    inference(cnf_transformation,[],[f219]) ).

cnf(c_620,plain,
    sum(n8,n4) = n12,
    inference(cnf_transformation,[],[f218]) ).

cnf(c_621,plain,
    sum(n8,n3) = n11,
    inference(cnf_transformation,[],[f217]) ).

cnf(c_622,plain,
    sum(n8,n2) = n10,
    inference(cnf_transformation,[],[f216]) ).

cnf(c_623,plain,
    sum(n8,n1) = n9,
    inference(cnf_transformation,[],[f215]) ).

cnf(c_624,plain,
    sum(n8,n0) = n8,
    inference(cnf_transformation,[],[f214]) ).

cnf(c_625,plain,
    sum(n7,n20) = n6,
    inference(cnf_transformation,[],[f213]) ).

cnf(c_626,plain,
    sum(n7,n19) = n5,
    inference(cnf_transformation,[],[f212]) ).

cnf(c_627,plain,
    sum(n7,n18) = n4,
    inference(cnf_transformation,[],[f211]) ).

cnf(c_628,plain,
    sum(n7,n17) = n3,
    inference(cnf_transformation,[],[f210]) ).

cnf(c_629,plain,
    sum(n7,n16) = n2,
    inference(cnf_transformation,[],[f209]) ).

cnf(c_630,plain,
    sum(n7,n15) = n1,
    inference(cnf_transformation,[],[f208]) ).

cnf(c_631,plain,
    sum(n7,n14) = n0,
    inference(cnf_transformation,[],[f207]) ).

cnf(c_632,plain,
    sum(n7,n13) = n20,
    inference(cnf_transformation,[],[f206]) ).

cnf(c_633,plain,
    sum(n7,n12) = n19,
    inference(cnf_transformation,[],[f205]) ).

cnf(c_634,plain,
    sum(n7,n11) = n18,
    inference(cnf_transformation,[],[f204]) ).

cnf(c_635,plain,
    sum(n7,n10) = n17,
    inference(cnf_transformation,[],[f203]) ).

cnf(c_636,plain,
    sum(n7,n9) = n16,
    inference(cnf_transformation,[],[f202]) ).

cnf(c_637,plain,
    sum(n7,n8) = n15,
    inference(cnf_transformation,[],[f201]) ).

cnf(c_638,plain,
    sum(n7,n7) = n14,
    inference(cnf_transformation,[],[f200]) ).

cnf(c_639,plain,
    sum(n7,n6) = n13,
    inference(cnf_transformation,[],[f199]) ).

cnf(c_640,plain,
    sum(n7,n5) = n12,
    inference(cnf_transformation,[],[f198]) ).

cnf(c_641,plain,
    sum(n7,n4) = n11,
    inference(cnf_transformation,[],[f197]) ).

cnf(c_642,plain,
    sum(n7,n3) = n10,
    inference(cnf_transformation,[],[f196]) ).

cnf(c_643,plain,
    sum(n7,n2) = n9,
    inference(cnf_transformation,[],[f195]) ).

cnf(c_644,plain,
    sum(n7,n1) = n8,
    inference(cnf_transformation,[],[f194]) ).

cnf(c_645,plain,
    sum(n7,n0) = n7,
    inference(cnf_transformation,[],[f193]) ).

cnf(c_646,plain,
    sum(n6,n20) = n5,
    inference(cnf_transformation,[],[f192]) ).

cnf(c_647,plain,
    sum(n6,n19) = n4,
    inference(cnf_transformation,[],[f191]) ).

cnf(c_648,plain,
    sum(n6,n18) = n3,
    inference(cnf_transformation,[],[f190]) ).

cnf(c_649,plain,
    sum(n6,n17) = n2,
    inference(cnf_transformation,[],[f189]) ).

cnf(c_650,plain,
    sum(n6,n16) = n1,
    inference(cnf_transformation,[],[f188]) ).

cnf(c_651,plain,
    sum(n6,n15) = n0,
    inference(cnf_transformation,[],[f187]) ).

cnf(c_652,plain,
    sum(n6,n14) = n20,
    inference(cnf_transformation,[],[f186]) ).

cnf(c_653,plain,
    sum(n6,n13) = n19,
    inference(cnf_transformation,[],[f185]) ).

cnf(c_654,plain,
    sum(n6,n12) = n18,
    inference(cnf_transformation,[],[f184]) ).

cnf(c_655,plain,
    sum(n6,n11) = n17,
    inference(cnf_transformation,[],[f183]) ).

cnf(c_656,plain,
    sum(n6,n10) = n16,
    inference(cnf_transformation,[],[f182]) ).

cnf(c_657,plain,
    sum(n6,n9) = n15,
    inference(cnf_transformation,[],[f181]) ).

cnf(c_658,plain,
    sum(n6,n8) = n14,
    inference(cnf_transformation,[],[f180]) ).

cnf(c_659,plain,
    sum(n6,n7) = n13,
    inference(cnf_transformation,[],[f179]) ).

cnf(c_660,plain,
    sum(n6,n6) = n12,
    inference(cnf_transformation,[],[f178]) ).

cnf(c_661,plain,
    sum(n6,n5) = n11,
    inference(cnf_transformation,[],[f177]) ).

cnf(c_662,plain,
    sum(n6,n4) = n10,
    inference(cnf_transformation,[],[f176]) ).

cnf(c_663,plain,
    sum(n6,n3) = n9,
    inference(cnf_transformation,[],[f175]) ).

cnf(c_664,plain,
    sum(n6,n2) = n8,
    inference(cnf_transformation,[],[f174]) ).

cnf(c_665,plain,
    sum(n6,n1) = n7,
    inference(cnf_transformation,[],[f173]) ).

cnf(c_666,plain,
    sum(n6,n0) = n6,
    inference(cnf_transformation,[],[f172]) ).

cnf(c_667,plain,
    sum(n5,n20) = n4,
    inference(cnf_transformation,[],[f171]) ).

cnf(c_668,plain,
    sum(n5,n19) = n3,
    inference(cnf_transformation,[],[f170]) ).

cnf(c_669,plain,
    sum(n5,n18) = n2,
    inference(cnf_transformation,[],[f169]) ).

cnf(c_670,plain,
    sum(n5,n17) = n1,
    inference(cnf_transformation,[],[f168]) ).

cnf(c_671,plain,
    sum(n5,n16) = n0,
    inference(cnf_transformation,[],[f167]) ).

cnf(c_672,plain,
    sum(n5,n15) = n20,
    inference(cnf_transformation,[],[f166]) ).

cnf(c_673,plain,
    sum(n5,n14) = n19,
    inference(cnf_transformation,[],[f165]) ).

cnf(c_674,plain,
    sum(n5,n13) = n18,
    inference(cnf_transformation,[],[f164]) ).

cnf(c_675,plain,
    sum(n5,n12) = n17,
    inference(cnf_transformation,[],[f163]) ).

cnf(c_676,plain,
    sum(n5,n11) = n16,
    inference(cnf_transformation,[],[f162]) ).

cnf(c_677,plain,
    sum(n5,n10) = n15,
    inference(cnf_transformation,[],[f161]) ).

cnf(c_678,plain,
    sum(n5,n9) = n14,
    inference(cnf_transformation,[],[f160]) ).

cnf(c_679,plain,
    sum(n5,n8) = n13,
    inference(cnf_transformation,[],[f159]) ).

cnf(c_680,plain,
    sum(n5,n7) = n12,
    inference(cnf_transformation,[],[f158]) ).

cnf(c_681,plain,
    sum(n5,n6) = n11,
    inference(cnf_transformation,[],[f157]) ).

cnf(c_682,plain,
    sum(n5,n5) = n10,
    inference(cnf_transformation,[],[f156]) ).

cnf(c_683,plain,
    sum(n5,n4) = n9,
    inference(cnf_transformation,[],[f155]) ).

cnf(c_684,plain,
    sum(n5,n3) = n8,
    inference(cnf_transformation,[],[f154]) ).

cnf(c_685,plain,
    sum(n5,n2) = n7,
    inference(cnf_transformation,[],[f153]) ).

cnf(c_686,plain,
    sum(n5,n1) = n6,
    inference(cnf_transformation,[],[f152]) ).

cnf(c_687,plain,
    sum(n5,n0) = n5,
    inference(cnf_transformation,[],[f151]) ).

cnf(c_688,plain,
    sum(n4,n20) = n3,
    inference(cnf_transformation,[],[f150]) ).

cnf(c_689,plain,
    sum(n4,n19) = n2,
    inference(cnf_transformation,[],[f149]) ).

cnf(c_690,plain,
    sum(n4,n18) = n1,
    inference(cnf_transformation,[],[f148]) ).

cnf(c_691,plain,
    sum(n4,n17) = n0,
    inference(cnf_transformation,[],[f147]) ).

cnf(c_692,plain,
    sum(n4,n16) = n20,
    inference(cnf_transformation,[],[f146]) ).

cnf(c_693,plain,
    sum(n4,n15) = n19,
    inference(cnf_transformation,[],[f145]) ).

cnf(c_694,plain,
    sum(n4,n14) = n18,
    inference(cnf_transformation,[],[f144]) ).

cnf(c_695,plain,
    sum(n4,n13) = n17,
    inference(cnf_transformation,[],[f143]) ).

cnf(c_696,plain,
    sum(n4,n12) = n16,
    inference(cnf_transformation,[],[f142]) ).

cnf(c_697,plain,
    sum(n4,n11) = n15,
    inference(cnf_transformation,[],[f141]) ).

cnf(c_698,plain,
    sum(n4,n10) = n14,
    inference(cnf_transformation,[],[f140]) ).

cnf(c_699,plain,
    sum(n4,n9) = n13,
    inference(cnf_transformation,[],[f139]) ).

cnf(c_700,plain,
    sum(n4,n8) = n12,
    inference(cnf_transformation,[],[f138]) ).

cnf(c_701,plain,
    sum(n4,n7) = n11,
    inference(cnf_transformation,[],[f137]) ).

cnf(c_702,plain,
    sum(n4,n6) = n10,
    inference(cnf_transformation,[],[f136]) ).

cnf(c_703,plain,
    sum(n4,n5) = n9,
    inference(cnf_transformation,[],[f135]) ).

cnf(c_704,plain,
    sum(n4,n4) = n8,
    inference(cnf_transformation,[],[f134]) ).

cnf(c_705,plain,
    sum(n4,n3) = n7,
    inference(cnf_transformation,[],[f133]) ).

cnf(c_706,plain,
    sum(n4,n2) = n6,
    inference(cnf_transformation,[],[f132]) ).

cnf(c_707,plain,
    sum(n4,n1) = n5,
    inference(cnf_transformation,[],[f131]) ).

cnf(c_708,plain,
    sum(n4,n0) = n4,
    inference(cnf_transformation,[],[f130]) ).

cnf(c_709,plain,
    sum(n3,n20) = n2,
    inference(cnf_transformation,[],[f129]) ).

cnf(c_710,plain,
    sum(n3,n19) = n1,
    inference(cnf_transformation,[],[f128]) ).

cnf(c_711,plain,
    sum(n3,n18) = n0,
    inference(cnf_transformation,[],[f127]) ).

cnf(c_712,plain,
    sum(n3,n17) = n20,
    inference(cnf_transformation,[],[f126]) ).

cnf(c_713,plain,
    sum(n3,n16) = n19,
    inference(cnf_transformation,[],[f125]) ).

cnf(c_714,plain,
    sum(n3,n15) = n18,
    inference(cnf_transformation,[],[f124]) ).

cnf(c_715,plain,
    sum(n3,n14) = n17,
    inference(cnf_transformation,[],[f123]) ).

cnf(c_716,plain,
    sum(n3,n13) = n16,
    inference(cnf_transformation,[],[f122]) ).

cnf(c_717,plain,
    sum(n3,n12) = n15,
    inference(cnf_transformation,[],[f121]) ).

cnf(c_718,plain,
    sum(n3,n11) = n14,
    inference(cnf_transformation,[],[f120]) ).

cnf(c_719,plain,
    sum(n3,n10) = n13,
    inference(cnf_transformation,[],[f119]) ).

cnf(c_720,plain,
    sum(n3,n9) = n12,
    inference(cnf_transformation,[],[f118]) ).

cnf(c_721,plain,
    sum(n3,n8) = n11,
    inference(cnf_transformation,[],[f117]) ).

cnf(c_722,plain,
    sum(n3,n7) = n10,
    inference(cnf_transformation,[],[f116]) ).

cnf(c_723,plain,
    sum(n3,n6) = n9,
    inference(cnf_transformation,[],[f115]) ).

cnf(c_724,plain,
    sum(n3,n5) = n8,
    inference(cnf_transformation,[],[f114]) ).

cnf(c_725,plain,
    sum(n3,n4) = n7,
    inference(cnf_transformation,[],[f113]) ).

cnf(c_726,plain,
    sum(n3,n3) = n6,
    inference(cnf_transformation,[],[f112]) ).

cnf(c_727,plain,
    sum(n3,n2) = n5,
    inference(cnf_transformation,[],[f111]) ).

cnf(c_728,plain,
    sum(n3,n1) = n4,
    inference(cnf_transformation,[],[f110]) ).

cnf(c_729,plain,
    sum(n3,n0) = n3,
    inference(cnf_transformation,[],[f109]) ).

cnf(c_730,plain,
    sum(n2,n20) = n1,
    inference(cnf_transformation,[],[f108]) ).

cnf(c_731,plain,
    sum(n2,n19) = n0,
    inference(cnf_transformation,[],[f107]) ).

cnf(c_732,plain,
    sum(n2,n18) = n20,
    inference(cnf_transformation,[],[f106]) ).

cnf(c_733,plain,
    sum(n2,n17) = n19,
    inference(cnf_transformation,[],[f105]) ).

cnf(c_734,plain,
    sum(n2,n16) = n18,
    inference(cnf_transformation,[],[f104]) ).

cnf(c_735,plain,
    sum(n2,n15) = n17,
    inference(cnf_transformation,[],[f103]) ).

cnf(c_736,plain,
    sum(n2,n14) = n16,
    inference(cnf_transformation,[],[f102]) ).

cnf(c_737,plain,
    sum(n2,n13) = n15,
    inference(cnf_transformation,[],[f101]) ).

cnf(c_738,plain,
    sum(n2,n12) = n14,
    inference(cnf_transformation,[],[f100]) ).

cnf(c_739,plain,
    sum(n2,n11) = n13,
    inference(cnf_transformation,[],[f99]) ).

cnf(c_740,plain,
    sum(n2,n10) = n12,
    inference(cnf_transformation,[],[f98]) ).

cnf(c_741,plain,
    sum(n2,n9) = n11,
    inference(cnf_transformation,[],[f97]) ).

cnf(c_742,plain,
    sum(n2,n8) = n10,
    inference(cnf_transformation,[],[f96]) ).

cnf(c_743,plain,
    sum(n2,n7) = n9,
    inference(cnf_transformation,[],[f95]) ).

cnf(c_744,plain,
    sum(n2,n6) = n8,
    inference(cnf_transformation,[],[f94]) ).

cnf(c_745,plain,
    sum(n2,n5) = n7,
    inference(cnf_transformation,[],[f93]) ).

cnf(c_746,plain,
    sum(n2,n4) = n6,
    inference(cnf_transformation,[],[f92]) ).

cnf(c_747,plain,
    sum(n2,n3) = n5,
    inference(cnf_transformation,[],[f91]) ).

cnf(c_748,plain,
    sum(n2,n2) = n4,
    inference(cnf_transformation,[],[f90]) ).

cnf(c_749,plain,
    sum(n2,n1) = n3,
    inference(cnf_transformation,[],[f89]) ).

cnf(c_750,plain,
    sum(n2,n0) = n2,
    inference(cnf_transformation,[],[f88]) ).

cnf(c_751,plain,
    sum(n1,n20) = n0,
    inference(cnf_transformation,[],[f87]) ).

cnf(c_752,plain,
    sum(n1,n19) = n20,
    inference(cnf_transformation,[],[f86]) ).

cnf(c_753,plain,
    sum(n1,n18) = n19,
    inference(cnf_transformation,[],[f85]) ).

cnf(c_754,plain,
    sum(n1,n17) = n18,
    inference(cnf_transformation,[],[f84]) ).

cnf(c_755,plain,
    sum(n1,n16) = n17,
    inference(cnf_transformation,[],[f83]) ).

cnf(c_756,plain,
    sum(n1,n15) = n16,
    inference(cnf_transformation,[],[f82]) ).

cnf(c_757,plain,
    sum(n1,n14) = n15,
    inference(cnf_transformation,[],[f81]) ).

cnf(c_758,plain,
    sum(n1,n13) = n14,
    inference(cnf_transformation,[],[f80]) ).

cnf(c_759,plain,
    sum(n1,n12) = n13,
    inference(cnf_transformation,[],[f79]) ).

cnf(c_760,plain,
    sum(n1,n11) = n12,
    inference(cnf_transformation,[],[f78]) ).

cnf(c_761,plain,
    sum(n1,n10) = n11,
    inference(cnf_transformation,[],[f77]) ).

cnf(c_762,plain,
    sum(n1,n9) = n10,
    inference(cnf_transformation,[],[f76]) ).

cnf(c_763,plain,
    sum(n1,n8) = n9,
    inference(cnf_transformation,[],[f75]) ).

cnf(c_764,plain,
    sum(n1,n7) = n8,
    inference(cnf_transformation,[],[f74]) ).

cnf(c_765,plain,
    sum(n1,n6) = n7,
    inference(cnf_transformation,[],[f73]) ).

cnf(c_766,plain,
    sum(n1,n5) = n6,
    inference(cnf_transformation,[],[f72]) ).

cnf(c_767,plain,
    sum(n1,n4) = n5,
    inference(cnf_transformation,[],[f71]) ).

cnf(c_768,plain,
    sum(n1,n3) = n4,
    inference(cnf_transformation,[],[f70]) ).

cnf(c_769,plain,
    sum(n1,n2) = n3,
    inference(cnf_transformation,[],[f69]) ).

cnf(c_770,plain,
    sum(n1,n1) = n2,
    inference(cnf_transformation,[],[f68]) ).

cnf(c_771,plain,
    sum(n1,n0) = n1,
    inference(cnf_transformation,[],[f67]) ).

cnf(c_772,plain,
    sum(n0,n20) = n20,
    inference(cnf_transformation,[],[f66]) ).

cnf(c_773,plain,
    sum(n0,n19) = n19,
    inference(cnf_transformation,[],[f65]) ).

cnf(c_774,plain,
    sum(n0,n18) = n18,
    inference(cnf_transformation,[],[f64]) ).

cnf(c_775,plain,
    sum(n0,n17) = n17,
    inference(cnf_transformation,[],[f63]) ).

cnf(c_776,plain,
    sum(n0,n16) = n16,
    inference(cnf_transformation,[],[f62]) ).

cnf(c_777,plain,
    sum(n0,n15) = n15,
    inference(cnf_transformation,[],[f61]) ).

cnf(c_778,plain,
    sum(n0,n14) = n14,
    inference(cnf_transformation,[],[f60]) ).

cnf(c_779,plain,
    sum(n0,n13) = n13,
    inference(cnf_transformation,[],[f59]) ).

cnf(c_780,plain,
    sum(n0,n12) = n12,
    inference(cnf_transformation,[],[f58]) ).

cnf(c_781,plain,
    sum(n0,n11) = n11,
    inference(cnf_transformation,[],[f57]) ).

cnf(c_782,plain,
    sum(n0,n10) = n10,
    inference(cnf_transformation,[],[f56]) ).

cnf(c_783,plain,
    sum(n0,n9) = n9,
    inference(cnf_transformation,[],[f55]) ).

cnf(c_784,plain,
    sum(n0,n8) = n8,
    inference(cnf_transformation,[],[f54]) ).

cnf(c_785,plain,
    sum(n0,n7) = n7,
    inference(cnf_transformation,[],[f53]) ).

cnf(c_786,plain,
    sum(n0,n6) = n6,
    inference(cnf_transformation,[],[f52]) ).

cnf(c_787,plain,
    sum(n0,n5) = n5,
    inference(cnf_transformation,[],[f51]) ).

cnf(c_788,plain,
    sum(n0,n4) = n4,
    inference(cnf_transformation,[],[f50]) ).

cnf(c_789,plain,
    sum(n0,n3) = n3,
    inference(cnf_transformation,[],[f49]) ).

cnf(c_790,plain,
    sum(n0,n2) = n2,
    inference(cnf_transformation,[],[f48]) ).

cnf(c_791,plain,
    sum(n0,n1) = n1,
    inference(cnf_transformation,[],[f47]) ).

cnf(c_792,plain,
    sum(n0,n0) = n0,
    inference(cnf_transformation,[],[f46]) ).

cnf(c_793,plain,
    pred(n20) = n19,
    inference(cnf_transformation,[],[f45]) ).

cnf(c_794,plain,
    pred(n19) = n18,
    inference(cnf_transformation,[],[f44]) ).

cnf(c_795,plain,
    pred(n18) = n17,
    inference(cnf_transformation,[],[f43]) ).

cnf(c_796,plain,
    pred(n17) = n16,
    inference(cnf_transformation,[],[f42]) ).

cnf(c_797,plain,
    pred(n16) = n15,
    inference(cnf_transformation,[],[f41]) ).

cnf(c_798,plain,
    pred(n15) = n14,
    inference(cnf_transformation,[],[f40]) ).

cnf(c_799,plain,
    pred(n14) = n13,
    inference(cnf_transformation,[],[f39]) ).

cnf(c_800,plain,
    pred(n13) = n12,
    inference(cnf_transformation,[],[f38]) ).

cnf(c_801,plain,
    pred(n12) = n11,
    inference(cnf_transformation,[],[f37]) ).

cnf(c_802,plain,
    pred(n11) = n10,
    inference(cnf_transformation,[],[f36]) ).

cnf(c_803,plain,
    pred(n10) = n9,
    inference(cnf_transformation,[],[f35]) ).

cnf(c_804,plain,
    pred(n9) = n8,
    inference(cnf_transformation,[],[f34]) ).

cnf(c_805,plain,
    pred(n8) = n7,
    inference(cnf_transformation,[],[f33]) ).

cnf(c_806,plain,
    pred(n7) = n6,
    inference(cnf_transformation,[],[f32]) ).

cnf(c_807,plain,
    pred(n6) = n5,
    inference(cnf_transformation,[],[f31]) ).

cnf(c_808,plain,
    pred(n5) = n4,
    inference(cnf_transformation,[],[f30]) ).

cnf(c_809,plain,
    pred(n4) = n3,
    inference(cnf_transformation,[],[f29]) ).

cnf(c_810,plain,
    pred(n3) = n2,
    inference(cnf_transformation,[],[f28]) ).

cnf(c_811,plain,
    pred(n2) = n1,
    inference(cnf_transformation,[],[f27]) ).

cnf(c_812,plain,
    pred(n1) = n0,
    inference(cnf_transformation,[],[f26]) ).

cnf(c_813,plain,
    pred(n0) = n20,
    inference(cnf_transformation,[],[f25]) ).

cnf(c_814,plain,
    succ(n20) = n0,
    inference(cnf_transformation,[],[f24]) ).

cnf(c_815,plain,
    succ(n19) = n20,
    inference(cnf_transformation,[],[f23]) ).

cnf(c_816,plain,
    succ(n18) = n19,
    inference(cnf_transformation,[],[f22]) ).

cnf(c_817,plain,
    succ(n17) = n18,
    inference(cnf_transformation,[],[f21]) ).

cnf(c_818,plain,
    succ(n16) = n17,
    inference(cnf_transformation,[],[f20]) ).

cnf(c_819,plain,
    succ(n15) = n16,
    inference(cnf_transformation,[],[f19]) ).

cnf(c_820,plain,
    succ(n14) = n15,
    inference(cnf_transformation,[],[f18]) ).

cnf(c_821,plain,
    succ(n13) = n14,
    inference(cnf_transformation,[],[f17]) ).

cnf(c_822,plain,
    succ(n12) = n13,
    inference(cnf_transformation,[],[f16]) ).

cnf(c_823,plain,
    succ(n11) = n12,
    inference(cnf_transformation,[],[f15]) ).

cnf(c_824,plain,
    succ(n10) = n11,
    inference(cnf_transformation,[],[f14]) ).

cnf(c_825,plain,
    succ(n9) = n10,
    inference(cnf_transformation,[],[f13]) ).

cnf(c_826,plain,
    succ(n8) = n9,
    inference(cnf_transformation,[],[f12]) ).

cnf(c_827,plain,
    succ(n7) = n8,
    inference(cnf_transformation,[],[f11]) ).

cnf(c_828,plain,
    succ(n6) = n7,
    inference(cnf_transformation,[],[f10]) ).

cnf(c_829,plain,
    succ(n5) = n6,
    inference(cnf_transformation,[],[f9]) ).

cnf(c_830,plain,
    succ(n4) = n5,
    inference(cnf_transformation,[],[f8]) ).

cnf(c_831,plain,
    succ(n3) = n4,
    inference(cnf_transformation,[],[f7]) ).

cnf(c_832,plain,
    succ(n2) = n3,
    inference(cnf_transformation,[],[f6]) ).

cnf(c_833,plain,
    succ(n1) = n2,
    inference(cnf_transformation,[],[f5]) ).

cnf(c_834,plain,
    succ(n0) = n1,
    inference(cnf_transformation,[],[f4]) ).

cnf(c_2498,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_834,c_833,c_832,c_831,c_830,c_829,c_828,c_827,c_826,c_825,c_824,c_823,c_822,c_821,c_820,c_819,c_818,c_817,c_816,c_815,c_814,c_813,c_812,c_811,c_810,c_809,c_808,c_807,c_806,c_805,c_804,c_803,c_802,c_801,c_800,c_799,c_798,c_797,c_796,c_795,c_794,c_793,c_792,c_791,c_790,c_789,c_788,c_787,c_786,c_785,c_784,c_783,c_782,c_781,c_780,c_779,c_778,c_777,c_776,c_775,c_774,c_773,c_772,c_771,c_770,c_769,c_768,c_767,c_766,c_765,c_764,c_763,c_762,c_761,c_760,c_759,c_758,c_757,c_756,c_755,c_754,c_753,c_752,c_751,c_750,c_749,c_748,c_747,c_746,c_745,c_744,c_743,c_742,c_741,c_740,c_739,c_738,c_737,c_736,c_735,c_734,c_733,c_732,c_731,c_730,c_729,c_728,c_727,c_726,c_725,c_724,c_723,c_722,c_721,c_720,c_719,c_718,c_717,c_716,c_715,c_714,c_713,c_712,c_711,c_710,c_709,c_708,c_707,c_706,c_705,c_704,c_703,c_702,c_701,c_700,c_699,c_698,c_697,c_696,c_695,c_694,c_693,c_692,c_691,c_690,c_689,c_688,c_687,c_686,c_685,c_684,c_683,c_682,c_681,c_680,c_679,c_678,c_677,c_676,c_675,c_674,c_673,c_672,c_671,c_670,c_669,c_668,c_667,c_666,c_665,c_664,c_663,c_662,c_661,c_660,c_659,c_658,c_657,c_656,c_655,c_654,c_653,c_652,c_651,c_650,c_649,c_648,c_647,c_646,c_645,c_644,c_643,c_642,c_641,c_640,c_639,c_638,c_637,c_636,c_635,c_634,c_633,c_632,c_631,c_630,c_629,c_628,c_627,c_626,c_625,c_624,c_623,c_622,c_621,c_620,c_619,c_618,c_617,c_616,c_615,c_614,c_613,c_612,c_611,c_610,c_609,c_608,c_607,c_606,c_605,c_604,c_603,c_602,c_601,c_600,c_599,c_598,c_597,c_596,c_595,c_594,c_593,c_592,c_591,c_590,c_589,c_588,c_587,c_586,c_585,c_584,c_583,c_582,c_581,c_580,c_579,c_578,c_577,c_576,c_575,c_574,c_573,c_572,c_571,c_570,c_569,c_568,c_567,c_566,c_565,c_564,c_563,c_562,c_561,c_560,c_559,c_558,c_557,c_556,c_555,c_554,c_553,c_552,c_551,c_550,c_549,c_548,c_547,c_546,c_545,c_544,c_543,c_542,c_541,c_540,c_539,c_538,c_537,c_536,c_535,c_534,c_533,c_532,c_531,c_530,c_529,c_528,c_527,c_526,c_525,c_524,c_523,c_522,c_521,c_520,c_519,c_518,c_517,c_516,c_515,c_514,c_513,c_512,c_511,c_510,c_509,c_508,c_507,c_506,c_505,c_504,c_503,c_502,c_501,c_500,c_499,c_498,c_497,c_496,c_495,c_494,c_493,c_492,c_491,c_490,c_489,c_488,c_487,c_486,c_485,c_484,c_483,c_482,c_481,c_480,c_479,c_478,c_477,c_476,c_475,c_474,c_473,c_472,c_471,c_470,c_469,c_468,c_467,c_466,c_465,c_464,c_463,c_462,c_461,c_460,c_459,c_458,c_457,c_456,c_455,c_454,c_453,c_452,c_451,c_450,c_449,c_448,c_447,c_446,c_445,c_444,c_443,c_442,c_441,c_440,c_439,c_438,c_437,c_436,c_435,c_434,c_433,c_432,c_431,c_430,c_429,c_428,c_427,c_426,c_425,c_424,c_423,c_422,c_421,c_420,c_419,c_418,c_417,c_416,c_415,c_414,c_413,c_412,c_411,c_410,c_409,c_408,c_407,c_406,c_405,c_404,c_403,c_402,c_401,c_400,c_399,c_398,c_397,c_396,c_395,c_394,c_393,c_392,c_391,c_390,c_389,c_388,c_387,c_386,c_385,c_384,c_383,c_382,c_381,c_380,c_379,c_378,c_377,c_376,c_375,c_374,c_373,c_372,c_371,c_370,c_369,c_368,c_367,c_366,c_365,c_364,c_363,c_362,c_361,c_360,c_359,c_358,c_357,c_356,c_355,c_354,c_353,c_352,c_351,c_350,c_349,c_348,c_347,c_346,c_345,c_344,c_343,c_342,c_341,c_340,c_339,c_338,c_337,c_336,c_335,c_334,c_333,c_332,c_331,c_330,c_329,c_328,c_327,c_326,c_325,c_324,c_323,c_322,c_321,c_320,c_319,c_318,c_317,c_316,c_315,c_314,c_313,c_312,c_311,c_310,c_309,c_308,c_307,c_306,c_305,c_304,c_303,c_302,c_301,c_300,c_299,c_298,c_297,c_296,c_295,c_294,c_293,c_292,c_291,c_290,c_289,c_288,c_287,c_286,c_285,c_284,c_283,c_282,c_281,c_280,c_279,c_278,c_277,c_276,c_275,c_274,c_273,c_272,c_271,c_270,c_269,c_268,c_267,c_266,c_265,c_264,c_263,c_262,c_261,c_260,c_259,c_258,c_257,c_256,c_255,c_254,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_241,c_240,c_239,c_238,c_236,c_235,c_233,c_230,c_229,c_228,c_225,c_224,c_221,c_219,c_218,c_217,c_215,c_213,c_212,c_211,c_209,c_207,c_205,c_204,c_203,c_202,c_200,c_198,c_194,c_190,c_188,c_186,c_185,c_184,c_183,c_182,c_181,c_178,c_176,c_174,c_173,c_172,c_169,c_166,c_165,c_164,c_163,c_162,c_161,c_160,c_159,c_158,c_156,c_154,c_153,c_143,c_141,c_139,c_138,c_137,c_136,c_135,c_134,c_133,c_130,c_129,c_128,c_127,c_125,c_122,c_121,c_120,c_118,c_115,c_111,c_109,c_107,c_104,c_101,c_99,c_98,c_97,c_96,c_94,c_92,c_88,c_82,c_80,c_78,c_77,c_75,c_73,c_72,c_71,c_70,c_69,c_67,c_65,c_64,c_61,c_60,c_54,c_50,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM378+1.020.015 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 16:36:13 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 21.51/3.71  % SZS status Started for theBenchmark.p
% 21.51/3.71  % SZS status Unsatisfiable for theBenchmark.p
% 21.51/3.71  
% 21.51/3.71  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 21.51/3.71  
% 21.51/3.71  ------  iProver source info
% 21.51/3.71  
% 21.51/3.71  git: date: 2023-05-31 18:12:56 +0000
% 21.51/3.71  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 21.51/3.71  git: non_committed_changes: false
% 21.51/3.71  git: last_make_outside_of_git: false
% 21.51/3.71  
% 21.51/3.71  ------ Parsing...
% 21.51/3.71  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 21.51/3.71  
% 21.51/3.71  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 21.51/3.71  
% 21.51/3.71  ------ Preprocessing...
% 21.51/3.71  
% 21.51/3.71  % SZS status Unsatisfiable for theBenchmark.p
% 21.51/3.71  
% 21.51/3.71  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.51/3.73  
% 21.51/3.73  
%------------------------------------------------------------------------------