TSTP Solution File: NUM378+1.010.015 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM378+1.010.015 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 11:30:09 EDT 2023
% Result : Unsatisfiable 3.67s 1.14s
% Output : CNFRefutation 4.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 516 ( 507 unt; 0 def)
% Number of atoms : 1815 (1814 equ)
% Maximal formula atoms : 628 ( 3 avg)
% Number of connectives : 1583 ( 284 ~; 138 |;1160 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 384 ( 3 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 106 ( 106 usr; 103 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] :
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( 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(X29))))))))))) = X91
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X29))))))))))) = X89
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X28))))))))))) = X90
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X28))))))))))) = X88
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X27))))))))))) = X87
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X27))))))))))) = X85
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X26))))))))))) = X86
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X26))))))))))) = X84
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X25))))))))))) = X83
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X25))))))))))) = X81
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X24))))))))))) = X82
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X24))))))))))) = X80
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X23))))))))))) = X79
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X23))))))))))) = X77
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X22))))))))))) = X78
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X22))))))))))) = X76
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X21))))))))))) = X75
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X21))))))))))) = X73
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X20))))))))))) = X74
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X20))))))))))) = X72
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19))))))))))) = X71
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19))))))))))) = X69
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18))))))))))) = X70
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18))))))))))) = X68
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17))))))))))) = X67
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17))))))))))) = X65
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16))))))))))) = X66
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16))))))))))) = X64
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15))))))))))) = X63
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15))))))))))) = X61
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14))))))))))) = X62
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14))))))))))) = X60
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13))))))))))) = X59
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13))))))))))) = X57
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12))))))))))) = X58
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12))))))))))) = X56
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11))))))))))) = X55
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11))))))))))) = X53
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10))))))))))) = X54
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10))))))))))) = X52
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9))))))))))) = X51
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9))))))))))) = X49
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8))))))))))) = X50
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8))))))))))) = X48
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7))))))))))) = X47
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7))))))))))) = X45
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6))))))))))) = X46
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6))))))))))) = X44
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5))))))))))) = X43
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5))))))))))) = X41
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4))))))))))) = X42
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4))))))))))) = X40
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3))))))))))) = X39
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3))))))))))) = X37
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2))))))))))) = X38
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2))))))))))) = X36
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1))))))))))) = X35
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1))))))))))) = X33
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0))))))))))) = X34
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0))))))))))) = X32
& ( n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f2,plain,
( ? [X0,X1,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] :
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( 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(X29))))))))))) = X91
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X29))))))))))) = X89
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X28))))))))))) = X90
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X28))))))))))) = X88
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X27))))))))))) = X87
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X27))))))))))) = X85
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X26))))))))))) = X86
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X26))))))))))) = X84
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X25))))))))))) = X83
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X25))))))))))) = X81
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X24))))))))))) = X82
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X24))))))))))) = X80
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X23))))))))))) = X79
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X23))))))))))) = X77
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X22))))))))))) = X78
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X22))))))))))) = X76
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X21))))))))))) = X75
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X21))))))))))) = X73
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X20))))))))))) = X74
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X20))))))))))) = X72
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19))))))))))) = X71
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19))))))))))) = X69
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18))))))))))) = X70
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18))))))))))) = X68
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17))))))))))) = X67
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17))))))))))) = X65
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16))))))))))) = X66
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16))))))))))) = X64
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15))))))))))) = X63
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15))))))))))) = X61
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14))))))))))) = X62
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14))))))))))) = X60
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13))))))))))) = X59
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13))))))))))) = X57
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12))))))))))) = X58
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12))))))))))) = X56
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11))))))))))) = X55
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11))))))))))) = X53
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10))))))))))) = X54
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10))))))))))) = X52
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9))))))))))) = X51
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9))))))))))) = X49
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8))))))))))) = X50
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8))))))))))) = X48
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7))))))))))) = X47
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7))))))))))) = X45
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6))))))))))) = X46
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6))))))))))) = X44
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5))))))))))) = X43
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5))))))))))) = X41
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4))))))))))) = X42
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4))))))))))) = X40
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3))))))))))) = X39
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3))))))))))) = X37
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2))))))))))) = X38
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2))))))))))) = X36
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1))))))))))) = X35
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1))))))))))) = X33
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0))))))))))) = X34
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0))))))))))) = X32
& ( n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 )
=> ( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( 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(sK29)))))))))))
& sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK29)))))))))))
& sK90 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28)))))))))))
& sK88 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28)))))))))))
& sK87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27)))))))))))
& sK85 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27)))))))))))
& sK86 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26)))))))))))
& sK84 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26)))))))))))
& sK83 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25)))))))))))
& sK81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25)))))))))))
& sK82 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24)))))))))))
& sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24)))))))))))
& sK79 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23)))))))))))
& sK77 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23)))))))))))
& sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22)))))))))))
& sK76 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22)))))))))))
& sK75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21)))))))))))
& sK73 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21)))))))))))
& sK74 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20)))))))))))
& sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20)))))))))))
& sK71 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19)))))))))))
& sK69 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19)))))))))))
& sK70 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18)))))))))))
& sK68 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18)))))))))))
& sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17)))))))))))
& sK65 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17)))))))))))
& sK66 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))
& sK64 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))
& sK63 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))
& sK61 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))
& sK62 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))
& sK60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))
& sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))
& sK57 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13)))))))))))
& sK58 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12)))))))))))
& sK56 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12)))))))))))
& sK55 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11)))))))))))
& sK53 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11)))))))))))
& sK54 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10)))))))))))
& sK52 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10)))))))))))
& sK51 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9)))))))))))
& sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9)))))))))))
& sK50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8)))))))))))
& sK48 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8)))))))))))
& sK47 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7)))))))))))
& sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7)))))))))))
& sK46 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))
& sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))
& sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5)))))))))))
& sK41 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5)))))))))))
& sK42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4)))))))))))
& sK40 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4)))))))))))
& sK39 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))
& sK37 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3)))))))))))
& sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2)))))))))))
& sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2)))))))))))
& sK35 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1)))))))))))
& sK33 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1)))))))))))
& sK34 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0)))))))))))
& sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0)))))))))))
& ( n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ) ),
introduced(choice_axiom,[]) ).
fof(f3,plain,
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( 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(sK29)))))))))))
& sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK29)))))))))))
& sK90 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28)))))))))))
& sK88 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28)))))))))))
& sK87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27)))))))))))
& sK85 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27)))))))))))
& sK86 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26)))))))))))
& sK84 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26)))))))))))
& sK83 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25)))))))))))
& sK81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25)))))))))))
& sK82 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24)))))))))))
& sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24)))))))))))
& sK79 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23)))))))))))
& sK77 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23)))))))))))
& sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22)))))))))))
& sK76 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22)))))))))))
& sK75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21)))))))))))
& sK73 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21)))))))))))
& sK74 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20)))))))))))
& sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20)))))))))))
& sK71 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19)))))))))))
& sK69 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19)))))))))))
& sK70 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18)))))))))))
& sK68 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18)))))))))))
& sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17)))))))))))
& sK65 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17)))))))))))
& sK66 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))
& sK64 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))
& sK63 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))
& sK61 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))
& sK62 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))
& sK60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))
& sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))
& sK57 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13)))))))))))
& sK58 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12)))))))))))
& sK56 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12)))))))))))
& sK55 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11)))))))))))
& sK53 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11)))))))))))
& sK54 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10)))))))))))
& sK52 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10)))))))))))
& sK51 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9)))))))))))
& sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9)))))))))))
& sK50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8)))))))))))
& sK48 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8)))))))))))
& sK47 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7)))))))))))
& sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7)))))))))))
& sK46 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))
& sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))
& sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5)))))))))))
& sK41 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5)))))))))))
& sK42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4)))))))))))
& sK40 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4)))))))))))
& sK39 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))
& sK37 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3)))))))))))
& sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2)))))))))))
& sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2)))))))))))
& sK35 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1)))))))))))
& sK33 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1)))))))))))
& sK34 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0)))))))))))
& sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0)))))))))))
& ( n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,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,
n0 = succ(n10),
inference(cnf_transformation,[],[f3]) ).
fof(f15,plain,
n10 = pred(n0),
inference(cnf_transformation,[],[f3]) ).
fof(f16,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f3]) ).
fof(f17,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f3]) ).
fof(f18,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f3]) ).
fof(f19,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f3]) ).
fof(f20,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f27,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f28,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f29,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f31,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f35,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f36,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f37,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f38,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f39,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f40,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f43,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f44,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f45,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f46,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f47,plain,
n0 = sum(n1,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f48,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f49,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f50,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f51,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f52,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f53,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f54,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f55,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f56,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f57,plain,
n0 = sum(n2,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f58,plain,
n1 = sum(n2,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f59,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f60,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f61,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f62,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f63,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f64,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f65,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f66,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f67,plain,
n0 = sum(n3,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f68,plain,
n1 = sum(n3,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f69,plain,
n2 = sum(n3,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f70,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f71,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f72,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f73,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f74,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f75,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f76,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f77,plain,
n0 = sum(n4,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f78,plain,
n1 = sum(n4,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f79,plain,
n2 = sum(n4,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f80,plain,
n3 = sum(n4,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f81,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f82,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f83,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f84,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f85,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f86,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f87,plain,
n0 = sum(n5,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f88,plain,
n1 = sum(n5,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f89,plain,
n2 = sum(n5,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f90,plain,
n3 = sum(n5,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f91,plain,
n4 = sum(n5,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f92,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f93,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f94,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f95,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f96,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f97,plain,
n0 = sum(n6,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f98,plain,
n1 = sum(n6,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f99,plain,
n2 = sum(n6,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f100,plain,
n3 = sum(n6,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f101,plain,
n4 = sum(n6,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f102,plain,
n5 = sum(n6,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f103,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f104,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f105,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f106,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f107,plain,
n0 = sum(n7,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f108,plain,
n1 = sum(n7,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f109,plain,
n2 = sum(n7,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f110,plain,
n3 = sum(n7,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f111,plain,
n4 = sum(n7,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
n5 = sum(n7,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
n6 = sum(n7,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
n0 = sum(n8,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f118,plain,
n1 = sum(n8,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
n2 = sum(n8,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
n3 = sum(n8,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
n4 = sum(n8,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
n5 = sum(n8,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f123,plain,
n6 = sum(n8,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
n7 = sum(n8,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f127,plain,
n0 = sum(n9,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
n1 = sum(n9,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f129,plain,
n2 = sum(n9,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f130,plain,
n3 = sum(n9,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f131,plain,
n4 = sum(n9,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f132,plain,
n5 = sum(n9,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f133,plain,
n6 = sum(n9,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f134,plain,
n7 = sum(n9,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f135,plain,
n8 = sum(n9,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f137,plain,
n0 = sum(n10,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f138,plain,
n1 = sum(n10,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f139,plain,
n2 = sum(n10,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f140,plain,
n3 = sum(n10,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f141,plain,
n4 = sum(n10,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f142,plain,
n5 = sum(n10,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f143,plain,
n6 = sum(n10,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f144,plain,
n7 = sum(n10,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f145,plain,
n8 = sum(n10,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f146,plain,
n9 = sum(n10,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f147,plain,
( n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f3]) ).
fof(f148,plain,
( n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f149,plain,
sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f150,plain,
sK34 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f151,plain,
sK33 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f152,plain,
sK35 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f153,plain,
sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f154,plain,
sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f155,plain,
sK37 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f156,plain,
sK39 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f157,plain,
sK40 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f158,plain,
sK42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f159,plain,
sK41 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f160,plain,
sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f161,plain,
sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f162,plain,
sK46 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f163,plain,
sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f164,plain,
sK47 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f165,plain,
sK48 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f166,plain,
sK50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f167,plain,
sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f168,plain,
sK51 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f169,plain,
sK52 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f170,plain,
sK54 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f171,plain,
sK53 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f172,plain,
sK55 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f173,plain,
sK56 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f174,plain,
sK58 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f175,plain,
sK57 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f176,plain,
sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f177,plain,
sK60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f178,plain,
sK62 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f179,plain,
sK61 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f180,plain,
sK63 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f181,plain,
sK64 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f182,plain,
sK66 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f183,plain,
sK65 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f184,plain,
sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f185,plain,
sK68 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f186,plain,
sK70 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f187,plain,
sK69 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f188,plain,
sK71 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f189,plain,
sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f190,plain,
sK74 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f191,plain,
sK73 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f192,plain,
sK75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f193,plain,
sK76 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f194,plain,
sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f195,plain,
sK77 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f196,plain,
sK79 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f197,plain,
sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f198,plain,
sK82 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f199,plain,
sK81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f200,plain,
sK83 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f201,plain,
sK84 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f202,plain,
sK86 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f203,plain,
sK85 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f204,plain,
sK87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f205,plain,
sK88 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f206,plain,
sK90 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f207,plain,
sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK29))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f208,plain,
sK91 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK29))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f209,plain,
sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))),
inference(cnf_transformation,[],[f3]) ).
fof(f210,plain,
sK3 = sum(pred(sK34),sum(succ(sK32),sum(pred(sK35),succ(sK33)))),
inference(cnf_transformation,[],[f3]) ).
fof(f211,plain,
sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))),
inference(cnf_transformation,[],[f3]) ).
fof(f212,plain,
sK5 = sum(pred(sK38),sum(succ(sK36),sum(pred(sK39),succ(sK37)))),
inference(cnf_transformation,[],[f3]) ).
fof(f213,plain,
sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))),
inference(cnf_transformation,[],[f3]) ).
fof(f214,plain,
sK7 = sum(pred(sK42),sum(succ(sK40),sum(pred(sK43),succ(sK41)))),
inference(cnf_transformation,[],[f3]) ).
fof(f215,plain,
sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))),
inference(cnf_transformation,[],[f3]) ).
fof(f216,plain,
sK9 = sum(pred(sK46),sum(succ(sK44),sum(pred(sK47),succ(sK45)))),
inference(cnf_transformation,[],[f3]) ).
fof(f217,plain,
sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))),
inference(cnf_transformation,[],[f3]) ).
fof(f218,plain,
sK11 = sum(pred(sK50),sum(succ(sK48),sum(pred(sK51),succ(sK49)))),
inference(cnf_transformation,[],[f3]) ).
fof(f219,plain,
sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))),
inference(cnf_transformation,[],[f3]) ).
fof(f220,plain,
sK13 = sum(pred(sK54),sum(succ(sK52),sum(pred(sK55),succ(sK53)))),
inference(cnf_transformation,[],[f3]) ).
fof(f221,plain,
sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))),
inference(cnf_transformation,[],[f3]) ).
fof(f222,plain,
sK15 = sum(pred(sK58),sum(succ(sK56),sum(pred(sK59),succ(sK57)))),
inference(cnf_transformation,[],[f3]) ).
fof(f223,plain,
sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))),
inference(cnf_transformation,[],[f3]) ).
fof(f224,plain,
sK17 = sum(pred(sK62),sum(succ(sK60),sum(pred(sK63),succ(sK61)))),
inference(cnf_transformation,[],[f3]) ).
fof(f225,plain,
sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))),
inference(cnf_transformation,[],[f3]) ).
fof(f226,plain,
sK19 = sum(pred(sK66),sum(succ(sK64),sum(pred(sK67),succ(sK65)))),
inference(cnf_transformation,[],[f3]) ).
fof(f227,plain,
sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))),
inference(cnf_transformation,[],[f3]) ).
fof(f228,plain,
sK21 = sum(pred(sK70),sum(succ(sK68),sum(pred(sK71),succ(sK69)))),
inference(cnf_transformation,[],[f3]) ).
fof(f229,plain,
sK22 = sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20))),
inference(cnf_transformation,[],[f3]) ).
fof(f230,plain,
sK23 = sum(pred(sK74),sum(succ(sK72),sum(pred(sK75),succ(sK73)))),
inference(cnf_transformation,[],[f3]) ).
fof(f231,plain,
sK24 = sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22))),
inference(cnf_transformation,[],[f3]) ).
fof(f232,plain,
sK25 = sum(pred(sK78),sum(succ(sK76),sum(pred(sK79),succ(sK77)))),
inference(cnf_transformation,[],[f3]) ).
fof(f233,plain,
sK26 = sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24))),
inference(cnf_transformation,[],[f3]) ).
fof(f234,plain,
sK27 = sum(pred(sK82),sum(succ(sK80),sum(pred(sK83),succ(sK81)))),
inference(cnf_transformation,[],[f3]) ).
fof(f235,plain,
sK28 = sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26))),
inference(cnf_transformation,[],[f3]) ).
fof(f236,plain,
sK29 = sum(pred(sK86),sum(succ(sK84),sum(pred(sK87),succ(sK85)))),
inference(cnf_transformation,[],[f3]) ).
fof(f237,plain,
sK30 = sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28))),
inference(cnf_transformation,[],[f3]) ).
fof(f238,plain,
sK31 = sum(pred(sK90),sum(succ(sK88),sum(pred(sK91),succ(sK89)))),
inference(cnf_transformation,[],[f3]) ).
fof(f239,plain,
( sK30 != sK31
| sK28 != sK29
| sK26 != sK27
| sK24 != sK25 ),
inference(cnf_transformation,[],[f3]) ).
fof(f240,plain,
n0 != n1,
inference(cnf_transformation,[],[f3]) ).
fof(f242,plain,
n0 != n3,
inference(cnf_transformation,[],[f3]) ).
fof(f245,plain,
n0 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f250,plain,
n1 != n2,
inference(cnf_transformation,[],[f3]) ).
fof(f251,plain,
n1 != n3,
inference(cnf_transformation,[],[f3]) ).
fof(f252,plain,
n1 != n4,
inference(cnf_transformation,[],[f3]) ).
fof(f254,plain,
n1 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f256,plain,
n1 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f258,plain,
n1 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f259,plain,
n2 != n3,
inference(cnf_transformation,[],[f3]) ).
fof(f262,plain,
n2 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f265,plain,
n2 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f267,plain,
n3 != n4,
inference(cnf_transformation,[],[f3]) ).
fof(f269,plain,
n3 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f272,plain,
n3 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f273,plain,
n3 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f275,plain,
n4 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f285,plain,
n6 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f287,plain,
n6 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f292,plain,
n8 != n9,
inference(cnf_transformation,[],[f3]) ).
cnf(c_51,plain,
n9 != n8,
inference(cnf_transformation,[],[f292]) ).
cnf(c_56,plain,
n9 != n6,
inference(cnf_transformation,[],[f287]) ).
cnf(c_58,plain,
n7 != n6,
inference(cnf_transformation,[],[f285]) ).
cnf(c_68,plain,
n6 != n4,
inference(cnf_transformation,[],[f275]) ).
cnf(c_70,plain,
n10 != n3,
inference(cnf_transformation,[],[f273]) ).
cnf(c_71,plain,
n9 != n3,
inference(cnf_transformation,[],[f272]) ).
cnf(c_74,plain,
n6 != n3,
inference(cnf_transformation,[],[f269]) ).
cnf(c_76,plain,
n4 != n3,
inference(cnf_transformation,[],[f267]) ).
cnf(c_78,plain,
n9 != n2,
inference(cnf_transformation,[],[f265]) ).
cnf(c_81,plain,
n6 != n2,
inference(cnf_transformation,[],[f262]) ).
cnf(c_84,plain,
n3 != n2,
inference(cnf_transformation,[],[f259]) ).
cnf(c_85,plain,
n10 != n1,
inference(cnf_transformation,[],[f258]) ).
cnf(c_87,plain,
n8 != n1,
inference(cnf_transformation,[],[f256]) ).
cnf(c_89,plain,
n6 != n1,
inference(cnf_transformation,[],[f254]) ).
cnf(c_91,plain,
n4 != n1,
inference(cnf_transformation,[],[f252]) ).
cnf(c_92,plain,
n3 != n1,
inference(cnf_transformation,[],[f251]) ).
cnf(c_93,plain,
n2 != n1,
inference(cnf_transformation,[],[f250]) ).
cnf(c_98,plain,
n6 != n0,
inference(cnf_transformation,[],[f245]) ).
cnf(c_101,plain,
n3 != n0,
inference(cnf_transformation,[],[f242]) ).
cnf(c_103,plain,
n1 != n0,
inference(cnf_transformation,[],[f240]) ).
cnf(c_104,plain,
( sK30 != sK31
| sK28 != sK29
| sK26 != sK27
| sK24 != sK25 ),
inference(cnf_transformation,[],[f239]) ).
cnf(c_105,plain,
sum(pred(sK90),sum(succ(sK88),sum(pred(sK91),succ(sK89)))) = sK31,
inference(cnf_transformation,[],[f238]) ).
cnf(c_106,plain,
sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28))) = sK30,
inference(cnf_transformation,[],[f237]) ).
cnf(c_107,plain,
sum(pred(sK86),sum(succ(sK84),sum(pred(sK87),succ(sK85)))) = sK29,
inference(cnf_transformation,[],[f236]) ).
cnf(c_108,plain,
sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26))) = sK28,
inference(cnf_transformation,[],[f235]) ).
cnf(c_109,plain,
sum(pred(sK82),sum(succ(sK80),sum(pred(sK83),succ(sK81)))) = sK27,
inference(cnf_transformation,[],[f234]) ).
cnf(c_110,plain,
sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24))) = sK26,
inference(cnf_transformation,[],[f233]) ).
cnf(c_111,plain,
sum(pred(sK78),sum(succ(sK76),sum(pred(sK79),succ(sK77)))) = sK25,
inference(cnf_transformation,[],[f232]) ).
cnf(c_112,plain,
sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22))) = sK24,
inference(cnf_transformation,[],[f231]) ).
cnf(c_113,plain,
sum(pred(sK74),sum(succ(sK72),sum(pred(sK75),succ(sK73)))) = sK23,
inference(cnf_transformation,[],[f230]) ).
cnf(c_114,plain,
sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20))) = sK22,
inference(cnf_transformation,[],[f229]) ).
cnf(c_115,plain,
sum(pred(sK70),sum(succ(sK68),sum(pred(sK71),succ(sK69)))) = sK21,
inference(cnf_transformation,[],[f228]) ).
cnf(c_116,plain,
sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))) = sK20,
inference(cnf_transformation,[],[f227]) ).
cnf(c_117,plain,
sum(pred(sK66),sum(succ(sK64),sum(pred(sK67),succ(sK65)))) = sK19,
inference(cnf_transformation,[],[f226]) ).
cnf(c_118,plain,
sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))) = sK18,
inference(cnf_transformation,[],[f225]) ).
cnf(c_119,plain,
sum(pred(sK62),sum(succ(sK60),sum(pred(sK63),succ(sK61)))) = sK17,
inference(cnf_transformation,[],[f224]) ).
cnf(c_120,plain,
sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))) = sK16,
inference(cnf_transformation,[],[f223]) ).
cnf(c_121,plain,
sum(pred(sK58),sum(succ(sK56),sum(pred(sK59),succ(sK57)))) = sK15,
inference(cnf_transformation,[],[f222]) ).
cnf(c_122,plain,
sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))) = sK14,
inference(cnf_transformation,[],[f221]) ).
cnf(c_123,plain,
sum(pred(sK54),sum(succ(sK52),sum(pred(sK55),succ(sK53)))) = sK13,
inference(cnf_transformation,[],[f220]) ).
cnf(c_124,plain,
sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))) = sK12,
inference(cnf_transformation,[],[f219]) ).
cnf(c_125,plain,
sum(pred(sK50),sum(succ(sK48),sum(pred(sK51),succ(sK49)))) = sK11,
inference(cnf_transformation,[],[f218]) ).
cnf(c_126,plain,
sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))) = sK10,
inference(cnf_transformation,[],[f217]) ).
cnf(c_127,plain,
sum(pred(sK46),sum(succ(sK44),sum(pred(sK47),succ(sK45)))) = sK9,
inference(cnf_transformation,[],[f216]) ).
cnf(c_128,plain,
sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))) = sK8,
inference(cnf_transformation,[],[f215]) ).
cnf(c_129,plain,
sum(pred(sK42),sum(succ(sK40),sum(pred(sK43),succ(sK41)))) = sK7,
inference(cnf_transformation,[],[f214]) ).
cnf(c_130,plain,
sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))) = sK6,
inference(cnf_transformation,[],[f213]) ).
cnf(c_131,plain,
sum(pred(sK38),sum(succ(sK36),sum(pred(sK39),succ(sK37)))) = sK5,
inference(cnf_transformation,[],[f212]) ).
cnf(c_132,plain,
sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))) = sK4,
inference(cnf_transformation,[],[f211]) ).
cnf(c_133,plain,
sum(pred(sK34),sum(succ(sK32),sum(pred(sK35),succ(sK33)))) = sK3,
inference(cnf_transformation,[],[f210]) ).
cnf(c_134,plain,
sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) = sK2,
inference(cnf_transformation,[],[f209]) ).
cnf(c_135,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK29))))))))))) = sK91,
inference(cnf_transformation,[],[f208]) ).
cnf(c_136,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK29))))))))))) = sK89,
inference(cnf_transformation,[],[f207]) ).
cnf(c_137,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28))))))))))) = sK90,
inference(cnf_transformation,[],[f206]) ).
cnf(c_138,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28))))))))))) = sK88,
inference(cnf_transformation,[],[f205]) ).
cnf(c_139,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27))))))))))) = sK87,
inference(cnf_transformation,[],[f204]) ).
cnf(c_140,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27))))))))))) = sK85,
inference(cnf_transformation,[],[f203]) ).
cnf(c_141,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26))))))))))) = sK86,
inference(cnf_transformation,[],[f202]) ).
cnf(c_142,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26))))))))))) = sK84,
inference(cnf_transformation,[],[f201]) ).
cnf(c_143,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25))))))))))) = sK83,
inference(cnf_transformation,[],[f200]) ).
cnf(c_144,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25))))))))))) = sK81,
inference(cnf_transformation,[],[f199]) ).
cnf(c_145,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24))))))))))) = sK82,
inference(cnf_transformation,[],[f198]) ).
cnf(c_146,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24))))))))))) = sK80,
inference(cnf_transformation,[],[f197]) ).
cnf(c_147,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23))))))))))) = sK79,
inference(cnf_transformation,[],[f196]) ).
cnf(c_148,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23))))))))))) = sK77,
inference(cnf_transformation,[],[f195]) ).
cnf(c_149,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22))))))))))) = sK78,
inference(cnf_transformation,[],[f194]) ).
cnf(c_150,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22))))))))))) = sK76,
inference(cnf_transformation,[],[f193]) ).
cnf(c_151,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21))))))))))) = sK75,
inference(cnf_transformation,[],[f192]) ).
cnf(c_152,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21))))))))))) = sK73,
inference(cnf_transformation,[],[f191]) ).
cnf(c_153,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20))))))))))) = sK74,
inference(cnf_transformation,[],[f190]) ).
cnf(c_154,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20))))))))))) = sK72,
inference(cnf_transformation,[],[f189]) ).
cnf(c_155,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19))))))))))) = sK71,
inference(cnf_transformation,[],[f188]) ).
cnf(c_156,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19))))))))))) = sK69,
inference(cnf_transformation,[],[f187]) ).
cnf(c_157,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))) = sK70,
inference(cnf_transformation,[],[f186]) ).
cnf(c_158,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))) = sK68,
inference(cnf_transformation,[],[f185]) ).
cnf(c_159,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17))))))))))) = sK67,
inference(cnf_transformation,[],[f184]) ).
cnf(c_160,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17))))))))))) = sK65,
inference(cnf_transformation,[],[f183]) ).
cnf(c_161,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16))))))))))) = sK66,
inference(cnf_transformation,[],[f182]) ).
cnf(c_162,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16))))))))))) = sK64,
inference(cnf_transformation,[],[f181]) ).
cnf(c_163,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15))))))))))) = sK63,
inference(cnf_transformation,[],[f180]) ).
cnf(c_164,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15))))))))))) = sK61,
inference(cnf_transformation,[],[f179]) ).
cnf(c_165,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))) = sK62,
inference(cnf_transformation,[],[f178]) ).
cnf(c_166,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))) = sK60,
inference(cnf_transformation,[],[f177]) ).
cnf(c_167,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13))))))))))) = sK59,
inference(cnf_transformation,[],[f176]) ).
cnf(c_168,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))) = sK57,
inference(cnf_transformation,[],[f175]) ).
cnf(c_169,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12))))))))))) = sK58,
inference(cnf_transformation,[],[f174]) ).
cnf(c_170,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12))))))))))) = sK56,
inference(cnf_transformation,[],[f173]) ).
cnf(c_171,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11))))))))))) = sK55,
inference(cnf_transformation,[],[f172]) ).
cnf(c_172,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11))))))))))) = sK53,
inference(cnf_transformation,[],[f171]) ).
cnf(c_173,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10))))))))))) = sK54,
inference(cnf_transformation,[],[f170]) ).
cnf(c_174,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10))))))))))) = sK52,
inference(cnf_transformation,[],[f169]) ).
cnf(c_175,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9))))))))))) = sK51,
inference(cnf_transformation,[],[f168]) ).
cnf(c_176,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9))))))))))) = sK49,
inference(cnf_transformation,[],[f167]) ).
cnf(c_177,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))) = sK50,
inference(cnf_transformation,[],[f166]) ).
cnf(c_178,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))) = sK48,
inference(cnf_transformation,[],[f165]) ).
cnf(c_179,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7))))))))))) = sK47,
inference(cnf_transformation,[],[f164]) ).
cnf(c_180,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7))))))))))) = sK45,
inference(cnf_transformation,[],[f163]) ).
cnf(c_181,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6))))))))))) = sK46,
inference(cnf_transformation,[],[f162]) ).
cnf(c_182,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))) = sK44,
inference(cnf_transformation,[],[f161]) ).
cnf(c_183,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5))))))))))) = sK43,
inference(cnf_transformation,[],[f160]) ).
cnf(c_184,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5))))))))))) = sK41,
inference(cnf_transformation,[],[f159]) ).
cnf(c_185,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4))))))))))) = sK42,
inference(cnf_transformation,[],[f158]) ).
cnf(c_186,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4))))))))))) = sK40,
inference(cnf_transformation,[],[f157]) ).
cnf(c_187,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3))))))))))) = sK39,
inference(cnf_transformation,[],[f156]) ).
cnf(c_188,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))) = sK37,
inference(cnf_transformation,[],[f155]) ).
cnf(c_189,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2))))))))))) = sK38,
inference(cnf_transformation,[],[f154]) ).
cnf(c_190,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2))))))))))) = sK36,
inference(cnf_transformation,[],[f153]) ).
cnf(c_191,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))) = sK35,
inference(cnf_transformation,[],[f152]) ).
cnf(c_192,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))) = sK33,
inference(cnf_transformation,[],[f151]) ).
cnf(c_193,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0))))))))))) = sK34,
inference(cnf_transformation,[],[f150]) ).
cnf(c_194,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0))))))))))) = sK32,
inference(cnf_transformation,[],[f149]) ).
cnf(c_195,plain,
( n9 = sK1
| n10 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_196,plain,
( n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_197,plain,
sum(n10,n10) = n9,
inference(cnf_transformation,[],[f146]) ).
cnf(c_198,plain,
sum(n10,n9) = n8,
inference(cnf_transformation,[],[f145]) ).
cnf(c_199,plain,
sum(n10,n8) = n7,
inference(cnf_transformation,[],[f144]) ).
cnf(c_200,plain,
sum(n10,n7) = n6,
inference(cnf_transformation,[],[f143]) ).
cnf(c_201,plain,
sum(n10,n6) = n5,
inference(cnf_transformation,[],[f142]) ).
cnf(c_202,plain,
sum(n10,n5) = n4,
inference(cnf_transformation,[],[f141]) ).
cnf(c_203,plain,
sum(n10,n4) = n3,
inference(cnf_transformation,[],[f140]) ).
cnf(c_204,plain,
sum(n10,n3) = n2,
inference(cnf_transformation,[],[f139]) ).
cnf(c_205,plain,
sum(n10,n2) = n1,
inference(cnf_transformation,[],[f138]) ).
cnf(c_206,plain,
sum(n10,n1) = n0,
inference(cnf_transformation,[],[f137]) ).
cnf(c_207,plain,
sum(n10,n0) = n10,
inference(cnf_transformation,[],[f136]) ).
cnf(c_208,plain,
sum(n9,n10) = n8,
inference(cnf_transformation,[],[f135]) ).
cnf(c_209,plain,
sum(n9,n9) = n7,
inference(cnf_transformation,[],[f134]) ).
cnf(c_210,plain,
sum(n9,n8) = n6,
inference(cnf_transformation,[],[f133]) ).
cnf(c_211,plain,
sum(n9,n7) = n5,
inference(cnf_transformation,[],[f132]) ).
cnf(c_212,plain,
sum(n9,n6) = n4,
inference(cnf_transformation,[],[f131]) ).
cnf(c_213,plain,
sum(n9,n5) = n3,
inference(cnf_transformation,[],[f130]) ).
cnf(c_214,plain,
sum(n9,n4) = n2,
inference(cnf_transformation,[],[f129]) ).
cnf(c_215,plain,
sum(n9,n3) = n1,
inference(cnf_transformation,[],[f128]) ).
cnf(c_216,plain,
sum(n9,n2) = n0,
inference(cnf_transformation,[],[f127]) ).
cnf(c_217,plain,
sum(n9,n1) = n10,
inference(cnf_transformation,[],[f126]) ).
cnf(c_218,plain,
sum(n9,n0) = n9,
inference(cnf_transformation,[],[f125]) ).
cnf(c_219,plain,
sum(n8,n10) = n7,
inference(cnf_transformation,[],[f124]) ).
cnf(c_220,plain,
sum(n8,n9) = n6,
inference(cnf_transformation,[],[f123]) ).
cnf(c_221,plain,
sum(n8,n8) = n5,
inference(cnf_transformation,[],[f122]) ).
cnf(c_222,plain,
sum(n8,n7) = n4,
inference(cnf_transformation,[],[f121]) ).
cnf(c_223,plain,
sum(n8,n6) = n3,
inference(cnf_transformation,[],[f120]) ).
cnf(c_224,plain,
sum(n8,n5) = n2,
inference(cnf_transformation,[],[f119]) ).
cnf(c_225,plain,
sum(n8,n4) = n1,
inference(cnf_transformation,[],[f118]) ).
cnf(c_226,plain,
sum(n8,n3) = n0,
inference(cnf_transformation,[],[f117]) ).
cnf(c_227,plain,
sum(n8,n2) = n10,
inference(cnf_transformation,[],[f116]) ).
cnf(c_228,plain,
sum(n8,n1) = n9,
inference(cnf_transformation,[],[f115]) ).
cnf(c_229,plain,
sum(n8,n0) = n8,
inference(cnf_transformation,[],[f114]) ).
cnf(c_230,plain,
sum(n7,n10) = n6,
inference(cnf_transformation,[],[f113]) ).
cnf(c_231,plain,
sum(n7,n9) = n5,
inference(cnf_transformation,[],[f112]) ).
cnf(c_232,plain,
sum(n7,n8) = n4,
inference(cnf_transformation,[],[f111]) ).
cnf(c_233,plain,
sum(n7,n7) = n3,
inference(cnf_transformation,[],[f110]) ).
cnf(c_234,plain,
sum(n7,n6) = n2,
inference(cnf_transformation,[],[f109]) ).
cnf(c_235,plain,
sum(n7,n5) = n1,
inference(cnf_transformation,[],[f108]) ).
cnf(c_236,plain,
sum(n7,n4) = n0,
inference(cnf_transformation,[],[f107]) ).
cnf(c_237,plain,
sum(n7,n3) = n10,
inference(cnf_transformation,[],[f106]) ).
cnf(c_238,plain,
sum(n7,n2) = n9,
inference(cnf_transformation,[],[f105]) ).
cnf(c_239,plain,
sum(n7,n1) = n8,
inference(cnf_transformation,[],[f104]) ).
cnf(c_240,plain,
sum(n7,n0) = n7,
inference(cnf_transformation,[],[f103]) ).
cnf(c_241,plain,
sum(n6,n10) = n5,
inference(cnf_transformation,[],[f102]) ).
cnf(c_242,plain,
sum(n6,n9) = n4,
inference(cnf_transformation,[],[f101]) ).
cnf(c_243,plain,
sum(n6,n8) = n3,
inference(cnf_transformation,[],[f100]) ).
cnf(c_244,plain,
sum(n6,n7) = n2,
inference(cnf_transformation,[],[f99]) ).
cnf(c_245,plain,
sum(n6,n6) = n1,
inference(cnf_transformation,[],[f98]) ).
cnf(c_246,plain,
sum(n6,n5) = n0,
inference(cnf_transformation,[],[f97]) ).
cnf(c_247,plain,
sum(n6,n4) = n10,
inference(cnf_transformation,[],[f96]) ).
cnf(c_248,plain,
sum(n6,n3) = n9,
inference(cnf_transformation,[],[f95]) ).
cnf(c_249,plain,
sum(n6,n2) = n8,
inference(cnf_transformation,[],[f94]) ).
cnf(c_250,plain,
sum(n6,n1) = n7,
inference(cnf_transformation,[],[f93]) ).
cnf(c_251,plain,
sum(n6,n0) = n6,
inference(cnf_transformation,[],[f92]) ).
cnf(c_252,plain,
sum(n5,n10) = n4,
inference(cnf_transformation,[],[f91]) ).
cnf(c_253,plain,
sum(n5,n9) = n3,
inference(cnf_transformation,[],[f90]) ).
cnf(c_254,plain,
sum(n5,n8) = n2,
inference(cnf_transformation,[],[f89]) ).
cnf(c_255,plain,
sum(n5,n7) = n1,
inference(cnf_transformation,[],[f88]) ).
cnf(c_256,plain,
sum(n5,n6) = n0,
inference(cnf_transformation,[],[f87]) ).
cnf(c_257,plain,
sum(n5,n5) = n10,
inference(cnf_transformation,[],[f86]) ).
cnf(c_258,plain,
sum(n5,n4) = n9,
inference(cnf_transformation,[],[f85]) ).
cnf(c_259,plain,
sum(n5,n3) = n8,
inference(cnf_transformation,[],[f84]) ).
cnf(c_260,plain,
sum(n5,n2) = n7,
inference(cnf_transformation,[],[f83]) ).
cnf(c_261,plain,
sum(n5,n1) = n6,
inference(cnf_transformation,[],[f82]) ).
cnf(c_262,plain,
sum(n5,n0) = n5,
inference(cnf_transformation,[],[f81]) ).
cnf(c_263,plain,
sum(n4,n10) = n3,
inference(cnf_transformation,[],[f80]) ).
cnf(c_264,plain,
sum(n4,n9) = n2,
inference(cnf_transformation,[],[f79]) ).
cnf(c_265,plain,
sum(n4,n8) = n1,
inference(cnf_transformation,[],[f78]) ).
cnf(c_266,plain,
sum(n4,n7) = n0,
inference(cnf_transformation,[],[f77]) ).
cnf(c_267,plain,
sum(n4,n6) = n10,
inference(cnf_transformation,[],[f76]) ).
cnf(c_268,plain,
sum(n4,n5) = n9,
inference(cnf_transformation,[],[f75]) ).
cnf(c_269,plain,
sum(n4,n4) = n8,
inference(cnf_transformation,[],[f74]) ).
cnf(c_270,plain,
sum(n4,n3) = n7,
inference(cnf_transformation,[],[f73]) ).
cnf(c_271,plain,
sum(n4,n2) = n6,
inference(cnf_transformation,[],[f72]) ).
cnf(c_272,plain,
sum(n4,n1) = n5,
inference(cnf_transformation,[],[f71]) ).
cnf(c_273,plain,
sum(n4,n0) = n4,
inference(cnf_transformation,[],[f70]) ).
cnf(c_274,plain,
sum(n3,n10) = n2,
inference(cnf_transformation,[],[f69]) ).
cnf(c_275,plain,
sum(n3,n9) = n1,
inference(cnf_transformation,[],[f68]) ).
cnf(c_276,plain,
sum(n3,n8) = n0,
inference(cnf_transformation,[],[f67]) ).
cnf(c_277,plain,
sum(n3,n7) = n10,
inference(cnf_transformation,[],[f66]) ).
cnf(c_278,plain,
sum(n3,n6) = n9,
inference(cnf_transformation,[],[f65]) ).
cnf(c_279,plain,
sum(n3,n5) = n8,
inference(cnf_transformation,[],[f64]) ).
cnf(c_280,plain,
sum(n3,n4) = n7,
inference(cnf_transformation,[],[f63]) ).
cnf(c_281,plain,
sum(n3,n3) = n6,
inference(cnf_transformation,[],[f62]) ).
cnf(c_282,plain,
sum(n3,n2) = n5,
inference(cnf_transformation,[],[f61]) ).
cnf(c_283,plain,
sum(n3,n1) = n4,
inference(cnf_transformation,[],[f60]) ).
cnf(c_284,plain,
sum(n3,n0) = n3,
inference(cnf_transformation,[],[f59]) ).
cnf(c_285,plain,
sum(n2,n10) = n1,
inference(cnf_transformation,[],[f58]) ).
cnf(c_286,plain,
sum(n2,n9) = n0,
inference(cnf_transformation,[],[f57]) ).
cnf(c_287,plain,
sum(n2,n8) = n10,
inference(cnf_transformation,[],[f56]) ).
cnf(c_288,plain,
sum(n2,n7) = n9,
inference(cnf_transformation,[],[f55]) ).
cnf(c_289,plain,
sum(n2,n6) = n8,
inference(cnf_transformation,[],[f54]) ).
cnf(c_290,plain,
sum(n2,n5) = n7,
inference(cnf_transformation,[],[f53]) ).
cnf(c_291,plain,
sum(n2,n4) = n6,
inference(cnf_transformation,[],[f52]) ).
cnf(c_292,plain,
sum(n2,n3) = n5,
inference(cnf_transformation,[],[f51]) ).
cnf(c_293,plain,
sum(n2,n2) = n4,
inference(cnf_transformation,[],[f50]) ).
cnf(c_294,plain,
sum(n2,n1) = n3,
inference(cnf_transformation,[],[f49]) ).
cnf(c_295,plain,
sum(n2,n0) = n2,
inference(cnf_transformation,[],[f48]) ).
cnf(c_296,plain,
sum(n1,n10) = n0,
inference(cnf_transformation,[],[f47]) ).
cnf(c_297,plain,
sum(n1,n9) = n10,
inference(cnf_transformation,[],[f46]) ).
cnf(c_298,plain,
sum(n1,n8) = n9,
inference(cnf_transformation,[],[f45]) ).
cnf(c_299,plain,
sum(n1,n7) = n8,
inference(cnf_transformation,[],[f44]) ).
cnf(c_300,plain,
sum(n1,n6) = n7,
inference(cnf_transformation,[],[f43]) ).
cnf(c_301,plain,
sum(n1,n5) = n6,
inference(cnf_transformation,[],[f42]) ).
cnf(c_302,plain,
sum(n1,n4) = n5,
inference(cnf_transformation,[],[f41]) ).
cnf(c_303,plain,
sum(n1,n3) = n4,
inference(cnf_transformation,[],[f40]) ).
cnf(c_304,plain,
sum(n1,n2) = n3,
inference(cnf_transformation,[],[f39]) ).
cnf(c_305,plain,
sum(n1,n1) = n2,
inference(cnf_transformation,[],[f38]) ).
cnf(c_306,plain,
sum(n1,n0) = n1,
inference(cnf_transformation,[],[f37]) ).
cnf(c_307,plain,
sum(n0,n10) = n10,
inference(cnf_transformation,[],[f36]) ).
cnf(c_308,plain,
sum(n0,n9) = n9,
inference(cnf_transformation,[],[f35]) ).
cnf(c_309,plain,
sum(n0,n8) = n8,
inference(cnf_transformation,[],[f34]) ).
cnf(c_310,plain,
sum(n0,n7) = n7,
inference(cnf_transformation,[],[f33]) ).
cnf(c_311,plain,
sum(n0,n6) = n6,
inference(cnf_transformation,[],[f32]) ).
cnf(c_312,plain,
sum(n0,n5) = n5,
inference(cnf_transformation,[],[f31]) ).
cnf(c_313,plain,
sum(n0,n4) = n4,
inference(cnf_transformation,[],[f30]) ).
cnf(c_314,plain,
sum(n0,n3) = n3,
inference(cnf_transformation,[],[f29]) ).
cnf(c_315,plain,
sum(n0,n2) = n2,
inference(cnf_transformation,[],[f28]) ).
cnf(c_316,plain,
sum(n0,n1) = n1,
inference(cnf_transformation,[],[f27]) ).
cnf(c_317,plain,
sum(n0,n0) = n0,
inference(cnf_transformation,[],[f26]) ).
cnf(c_318,plain,
pred(n10) = n9,
inference(cnf_transformation,[],[f25]) ).
cnf(c_319,plain,
pred(n9) = n8,
inference(cnf_transformation,[],[f24]) ).
cnf(c_320,plain,
pred(n8) = n7,
inference(cnf_transformation,[],[f23]) ).
cnf(c_321,plain,
pred(n7) = n6,
inference(cnf_transformation,[],[f22]) ).
cnf(c_322,plain,
pred(n6) = n5,
inference(cnf_transformation,[],[f21]) ).
cnf(c_323,plain,
pred(n5) = n4,
inference(cnf_transformation,[],[f20]) ).
cnf(c_324,plain,
pred(n4) = n3,
inference(cnf_transformation,[],[f19]) ).
cnf(c_325,plain,
pred(n3) = n2,
inference(cnf_transformation,[],[f18]) ).
cnf(c_326,plain,
pred(n2) = n1,
inference(cnf_transformation,[],[f17]) ).
cnf(c_327,plain,
pred(n1) = n0,
inference(cnf_transformation,[],[f16]) ).
cnf(c_328,plain,
pred(n0) = n10,
inference(cnf_transformation,[],[f15]) ).
cnf(c_329,plain,
succ(n10) = n0,
inference(cnf_transformation,[],[f14]) ).
cnf(c_330,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f13]) ).
cnf(c_331,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f12]) ).
cnf(c_332,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f11]) ).
cnf(c_333,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f10]) ).
cnf(c_334,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f9]) ).
cnf(c_335,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f8]) ).
cnf(c_336,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f7]) ).
cnf(c_337,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f6]) ).
cnf(c_338,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f5]) ).
cnf(c_339,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f4]) ).
cnf(c_973,plain,
$false,
inference(smt_impl_just,[status(thm)],[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_253,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_217,c_216,c_215,c_214,c_213,c_212,c_211,c_210,c_209,c_208,c_207,c_206,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_161,c_160,c_159,c_158,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_139,c_138,c_137,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_101,c_98,c_93,c_92,c_91,c_89,c_87,c_85,c_84,c_81,c_78,c_76,c_74,c_71,c_70,c_68,c_58,c_56,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM378+1.010.015 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n027.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 12:21:19 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.67/1.14 % SZS status Started for theBenchmark.p
% 3.67/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.67/1.14
% 3.67/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.67/1.14
% 3.67/1.14 ------ iProver source info
% 3.67/1.14
% 3.67/1.14 git: date: 2023-05-31 18:12:56 +0000
% 3.67/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.67/1.14 git: non_committed_changes: false
% 3.67/1.14 git: last_make_outside_of_git: false
% 3.67/1.14
% 3.67/1.14 ------ Parsing...
% 3.67/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.67/1.14
% 3.67/1.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.67/1.14
% 3.67/1.14 ------ Preprocessing...
% 3.67/1.14
% 3.67/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.67/1.14
% 3.67/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.26/1.15
% 4.26/1.15
%------------------------------------------------------------------------------