TSTP Solution File: NUM378+1.015.015 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM378+1.015.015 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 : Fri May 3 02:49:05 EDT 2024
% Result : Unsatisfiable 14.07s 2.59s
% Output : CNFRefutation 14.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 900 ( 891 unt; 0 def)
% Number of atoms : 3099 (3098 equ)
% Maximal formula atoms : 1068 ( 3 avg)
% Number of connectives : 2837 ( 638 ~; 198 |;2000 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 594 ( 3 avg)
% Maximal term depth : 17 ( 4 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 111 ( 111 usr; 108 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] :
( n14 != n15
& n13 != n15
& n13 != n14
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( X30 != X31
| X28 != X29
| X26 != X27
| X24 != X25 )
& sum(pred(X90),sum(succ(X88),sum(pred(X91),succ(X89)))) = X31
& sum(sum(pred(X28),succ(X29)),sum(pred(X29),succ(X28))) = X30
& sum(pred(X86),sum(succ(X84),sum(pred(X87),succ(X85)))) = X29
& sum(sum(pred(X26),succ(X27)),sum(pred(X27),succ(X26))) = X28
& sum(pred(X82),sum(succ(X80),sum(pred(X83),succ(X81)))) = X27
& sum(sum(pred(X24),succ(X25)),sum(pred(X25),succ(X24))) = X26
& sum(pred(X78),sum(succ(X76),sum(pred(X79),succ(X77)))) = X25
& sum(sum(pred(X22),succ(X23)),sum(pred(X23),succ(X22))) = X24
& sum(pred(X74),sum(succ(X72),sum(pred(X75),succ(X73)))) = X23
& sum(sum(pred(X20),succ(X21)),sum(pred(X21),succ(X20))) = X22
& sum(pred(X70),sum(succ(X68),sum(pred(X71),succ(X69)))) = X21
& sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
& sum(pred(X66),sum(succ(X64),sum(pred(X67),succ(X65)))) = X19
& sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
& sum(pred(X62),sum(succ(X60),sum(pred(X63),succ(X61)))) = X17
& sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
& sum(pred(X58),sum(succ(X56),sum(pred(X59),succ(X57)))) = X15
& sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
& sum(pred(X54),sum(succ(X52),sum(pred(X55),succ(X53)))) = X13
& sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
& sum(pred(X50),sum(succ(X48),sum(pred(X51),succ(X49)))) = X11
& sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
& sum(pred(X46),sum(succ(X44),sum(pred(X47),succ(X45)))) = X9
& sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
& sum(pred(X42),sum(succ(X40),sum(pred(X43),succ(X41)))) = X7
& sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
& sum(pred(X38),sum(succ(X36),sum(pred(X39),succ(X37)))) = X5
& sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
& sum(pred(X34),sum(succ(X32),sum(pred(X35),succ(X33)))) = X3
& sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X29)))))))))))))))) = X91
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X29)))))))))))))))) = X89
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X28)))))))))))))))) = X90
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X28)))))))))))))))) = X88
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X27)))))))))))))))) = X87
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X27)))))))))))))))) = X85
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X26)))))))))))))))) = X86
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X26)))))))))))))))) = X84
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X25)))))))))))))))) = X83
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X25)))))))))))))))) = X81
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X24)))))))))))))))) = X82
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X24)))))))))))))))) = X80
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X23)))))))))))))))) = X79
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X23)))))))))))))))) = X77
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X22)))))))))))))))) = X78
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X22)))))))))))))))) = X76
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X21)))))))))))))))) = X75
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X21)))))))))))))))) = X73
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X20)))))))))))))))) = X74
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X20)))))))))))))))) = X72
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19)))))))))))))))) = X71
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19)))))))))))))))) = X69
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18)))))))))))))))) = X70
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18)))))))))))))))) = X68
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17)))))))))))))))) = X67
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17)))))))))))))))) = X65
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16)))))))))))))))) = X66
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16)))))))))))))))) = X64
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15)))))))))))))))) = X63
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15)))))))))))))))) = X61
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14)))))))))))))))) = X62
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14)))))))))))))))) = X60
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13)))))))))))))))) = X59
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13)))))))))))))))) = X57
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12)))))))))))))))) = X58
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12)))))))))))))))) = X56
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11)))))))))))))))) = X55
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11)))))))))))))))) = X53
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10)))))))))))))))) = X54
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10)))))))))))))))) = X52
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9)))))))))))))))) = X51
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9)))))))))))))))) = X49
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8)))))))))))))))) = X50
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8)))))))))))))))) = X48
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7)))))))))))))))) = X47
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7)))))))))))))))) = X45
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6)))))))))))))))) = X46
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6)))))))))))))))) = X44
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5)))))))))))))))) = X43
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5)))))))))))))))) = X41
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4)))))))))))))))) = X42
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4)))))))))))))))) = X40
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3)))))))))))))))) = X39
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3)))))))))))))))) = X37
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2)))))))))))))))) = X38
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2)))))))))))))))) = X36
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1)))))))))))))))) = X35
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1)))))))))))))))) = X33
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0)))))))))))))))) = X34
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0)))))))))))))))) = X32
& ( n15 = X1
| n14 = X1
| n13 = X1
| n12 = X1
| n11 = X1
| n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n15 = X0
| n14 = X0
| n13 = X0
| n12 = X0
| n11 = X0
| n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n14 = sum(n15,n15)
& n13 = sum(n15,n14)
& n12 = sum(n15,n13)
& n11 = sum(n15,n12)
& n10 = sum(n15,n11)
& n9 = sum(n15,n10)
& n8 = sum(n15,n9)
& n7 = sum(n15,n8)
& n6 = sum(n15,n7)
& n5 = sum(n15,n6)
& n4 = sum(n15,n5)
& n3 = sum(n15,n4)
& n2 = sum(n15,n3)
& n1 = sum(n15,n2)
& n0 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n15)
& n12 = sum(n14,n14)
& n11 = sum(n14,n13)
& n10 = sum(n14,n12)
& n9 = sum(n14,n11)
& n8 = sum(n14,n10)
& n7 = sum(n14,n9)
& n6 = sum(n14,n8)
& n5 = sum(n14,n7)
& n4 = sum(n14,n6)
& n3 = sum(n14,n5)
& n2 = sum(n14,n4)
& n1 = sum(n14,n3)
& n0 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n15)
& n11 = sum(n13,n14)
& n10 = sum(n13,n13)
& n9 = sum(n13,n12)
& n8 = sum(n13,n11)
& n7 = sum(n13,n10)
& n6 = sum(n13,n9)
& n5 = sum(n13,n8)
& n4 = sum(n13,n7)
& n3 = sum(n13,n6)
& n2 = sum(n13,n5)
& n1 = sum(n13,n4)
& n0 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n15)
& n10 = sum(n12,n14)
& n9 = sum(n12,n13)
& n8 = sum(n12,n12)
& n7 = sum(n12,n11)
& n6 = sum(n12,n10)
& n5 = sum(n12,n9)
& n4 = sum(n12,n8)
& n3 = sum(n12,n7)
& n2 = sum(n12,n6)
& n1 = sum(n12,n5)
& n0 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n15)
& n9 = sum(n11,n14)
& n8 = sum(n11,n13)
& n7 = sum(n11,n12)
& n6 = sum(n11,n11)
& n5 = sum(n11,n10)
& n4 = sum(n11,n9)
& n3 = sum(n11,n8)
& n2 = sum(n11,n7)
& n1 = sum(n11,n6)
& n0 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n15)
& n8 = sum(n10,n14)
& n7 = sum(n10,n13)
& n6 = sum(n10,n12)
& n5 = sum(n10,n11)
& n4 = sum(n10,n10)
& n3 = sum(n10,n9)
& n2 = sum(n10,n8)
& n1 = sum(n10,n7)
& n0 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n15)
& n7 = sum(n9,n14)
& n6 = sum(n9,n13)
& n5 = sum(n9,n12)
& n4 = sum(n9,n11)
& n3 = sum(n9,n10)
& n2 = sum(n9,n9)
& n1 = sum(n9,n8)
& n0 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n15)
& n6 = sum(n8,n14)
& n5 = sum(n8,n13)
& n4 = sum(n8,n12)
& n3 = sum(n8,n11)
& n2 = sum(n8,n10)
& n1 = sum(n8,n9)
& n0 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n15)
& n5 = sum(n7,n14)
& n4 = sum(n7,n13)
& n3 = sum(n7,n12)
& n2 = sum(n7,n11)
& n1 = sum(n7,n10)
& n0 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n15)
& n4 = sum(n6,n14)
& n3 = sum(n6,n13)
& n2 = sum(n6,n12)
& n1 = sum(n6,n11)
& n0 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n15)
& n3 = sum(n5,n14)
& n2 = sum(n5,n13)
& n1 = sum(n5,n12)
& n0 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n15)
& n2 = sum(n4,n14)
& n1 = sum(n4,n13)
& n0 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n15)
& n1 = sum(n3,n14)
& n0 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n15)
& n0 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n15 = pred(n0)
& n0 = succ(n15)
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f2,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88,X89,X90,X91] :
( n14 != n15
& n13 != n15
& n13 != n14
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( X30 != X31
| X28 != X29
| X26 != X27
| X24 != X25 )
& sum(pred(X90),sum(succ(X88),sum(pred(X91),succ(X89)))) = X31
& sum(sum(pred(X28),succ(X29)),sum(pred(X29),succ(X28))) = X30
& sum(pred(X86),sum(succ(X84),sum(pred(X87),succ(X85)))) = X29
& sum(sum(pred(X26),succ(X27)),sum(pred(X27),succ(X26))) = X28
& sum(pred(X82),sum(succ(X80),sum(pred(X83),succ(X81)))) = X27
& sum(sum(pred(X24),succ(X25)),sum(pred(X25),succ(X24))) = X26
& sum(pred(X78),sum(succ(X76),sum(pred(X79),succ(X77)))) = X25
& sum(sum(pred(X22),succ(X23)),sum(pred(X23),succ(X22))) = X24
& sum(pred(X74),sum(succ(X72),sum(pred(X75),succ(X73)))) = X23
& sum(sum(pred(X20),succ(X21)),sum(pred(X21),succ(X20))) = X22
& sum(pred(X70),sum(succ(X68),sum(pred(X71),succ(X69)))) = X21
& sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
& sum(pred(X66),sum(succ(X64),sum(pred(X67),succ(X65)))) = X19
& sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
& sum(pred(X62),sum(succ(X60),sum(pred(X63),succ(X61)))) = X17
& sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
& sum(pred(X58),sum(succ(X56),sum(pred(X59),succ(X57)))) = X15
& sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
& sum(pred(X54),sum(succ(X52),sum(pred(X55),succ(X53)))) = X13
& sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
& sum(pred(X50),sum(succ(X48),sum(pred(X51),succ(X49)))) = X11
& sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
& sum(pred(X46),sum(succ(X44),sum(pred(X47),succ(X45)))) = X9
& sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
& sum(pred(X42),sum(succ(X40),sum(pred(X43),succ(X41)))) = X7
& sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
& sum(pred(X38),sum(succ(X36),sum(pred(X39),succ(X37)))) = X5
& sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
& sum(pred(X34),sum(succ(X32),sum(pred(X35),succ(X33)))) = X3
& sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X29)))))))))))))))) = X91
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X29)))))))))))))))) = X89
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X28)))))))))))))))) = X90
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X28)))))))))))))))) = X88
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X27)))))))))))))))) = X87
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X27)))))))))))))))) = X85
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X26)))))))))))))))) = X86
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X26)))))))))))))))) = X84
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X25)))))))))))))))) = X83
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X25)))))))))))))))) = X81
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X24)))))))))))))))) = X82
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X24)))))))))))))))) = X80
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X23)))))))))))))))) = X79
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X23)))))))))))))))) = X77
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X22)))))))))))))))) = X78
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X22)))))))))))))))) = X76
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X21)))))))))))))))) = X75
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X21)))))))))))))))) = X73
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X20)))))))))))))))) = X74
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X20)))))))))))))))) = X72
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19)))))))))))))))) = X71
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19)))))))))))))))) = X69
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18)))))))))))))))) = X70
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18)))))))))))))))) = X68
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17)))))))))))))))) = X67
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17)))))))))))))))) = X65
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16)))))))))))))))) = X66
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16)))))))))))))))) = X64
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15)))))))))))))))) = X63
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15)))))))))))))))) = X61
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14)))))))))))))))) = X62
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14)))))))))))))))) = X60
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13)))))))))))))))) = X59
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13)))))))))))))))) = X57
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12)))))))))))))))) = X58
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12)))))))))))))))) = X56
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11)))))))))))))))) = X55
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11)))))))))))))))) = X53
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10)))))))))))))))) = X54
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10)))))))))))))))) = X52
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9)))))))))))))))) = X51
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9)))))))))))))))) = X49
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8)))))))))))))))) = X50
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8)))))))))))))))) = X48
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7)))))))))))))))) = X47
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7)))))))))))))))) = X45
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6)))))))))))))))) = X46
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6)))))))))))))))) = X44
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5)))))))))))))))) = X43
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5)))))))))))))))) = X41
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4)))))))))))))))) = X42
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4)))))))))))))))) = X40
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3)))))))))))))))) = X39
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3)))))))))))))))) = X37
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2)))))))))))))))) = X38
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2)))))))))))))))) = X36
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1)))))))))))))))) = X35
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1)))))))))))))))) = X33
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0)))))))))))))))) = X34
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0)))))))))))))))) = X32
& ( n15 = X1
| n14 = X1
| n13 = X1
| n12 = X1
| n11 = X1
| n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n15 = X0
| n14 = X0
| n13 = X0
| n12 = X0
| n11 = X0
| n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n14 = sum(n15,n15)
& n13 = sum(n15,n14)
& n12 = sum(n15,n13)
& n11 = sum(n15,n12)
& n10 = sum(n15,n11)
& n9 = sum(n15,n10)
& n8 = sum(n15,n9)
& n7 = sum(n15,n8)
& n6 = sum(n15,n7)
& n5 = sum(n15,n6)
& n4 = sum(n15,n5)
& n3 = sum(n15,n4)
& n2 = sum(n15,n3)
& n1 = sum(n15,n2)
& n0 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n15)
& n12 = sum(n14,n14)
& n11 = sum(n14,n13)
& n10 = sum(n14,n12)
& n9 = sum(n14,n11)
& n8 = sum(n14,n10)
& n7 = sum(n14,n9)
& n6 = sum(n14,n8)
& n5 = sum(n14,n7)
& n4 = sum(n14,n6)
& n3 = sum(n14,n5)
& n2 = sum(n14,n4)
& n1 = sum(n14,n3)
& n0 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n15)
& n11 = sum(n13,n14)
& n10 = sum(n13,n13)
& n9 = sum(n13,n12)
& n8 = sum(n13,n11)
& n7 = sum(n13,n10)
& n6 = sum(n13,n9)
& n5 = sum(n13,n8)
& n4 = sum(n13,n7)
& n3 = sum(n13,n6)
& n2 = sum(n13,n5)
& n1 = sum(n13,n4)
& n0 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n15)
& n10 = sum(n12,n14)
& n9 = sum(n12,n13)
& n8 = sum(n12,n12)
& n7 = sum(n12,n11)
& n6 = sum(n12,n10)
& n5 = sum(n12,n9)
& n4 = sum(n12,n8)
& n3 = sum(n12,n7)
& n2 = sum(n12,n6)
& n1 = sum(n12,n5)
& n0 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n15)
& n9 = sum(n11,n14)
& n8 = sum(n11,n13)
& n7 = sum(n11,n12)
& n6 = sum(n11,n11)
& n5 = sum(n11,n10)
& n4 = sum(n11,n9)
& n3 = sum(n11,n8)
& n2 = sum(n11,n7)
& n1 = sum(n11,n6)
& n0 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n15)
& n8 = sum(n10,n14)
& n7 = sum(n10,n13)
& n6 = sum(n10,n12)
& n5 = sum(n10,n11)
& n4 = sum(n10,n10)
& n3 = sum(n10,n9)
& n2 = sum(n10,n8)
& n1 = sum(n10,n7)
& n0 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n15)
& n7 = sum(n9,n14)
& n6 = sum(n9,n13)
& n5 = sum(n9,n12)
& n4 = sum(n9,n11)
& n3 = sum(n9,n10)
& n2 = sum(n9,n9)
& n1 = sum(n9,n8)
& n0 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n15)
& n6 = sum(n8,n14)
& n5 = sum(n8,n13)
& n4 = sum(n8,n12)
& n3 = sum(n8,n11)
& n2 = sum(n8,n10)
& n1 = sum(n8,n9)
& n0 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n15)
& n5 = sum(n7,n14)
& n4 = sum(n7,n13)
& n3 = sum(n7,n12)
& n2 = sum(n7,n11)
& n1 = sum(n7,n10)
& n0 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n15)
& n4 = sum(n6,n14)
& n3 = sum(n6,n13)
& n2 = sum(n6,n12)
& n1 = sum(n6,n11)
& n0 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n15)
& n3 = sum(n5,n14)
& n2 = sum(n5,n13)
& n1 = sum(n5,n12)
& n0 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n15)
& n2 = sum(n4,n14)
& n1 = sum(n4,n13)
& n0 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n15)
& n1 = sum(n3,n14)
& n0 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n15)
& n0 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n15 = pred(n0)
& n0 = succ(n15)
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 )
=> ( n14 != n15
& n13 != n15
& n13 != n14
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( sK30 != sK31
| sK28 != sK29
| sK26 != sK27
| sK24 != sK25 )
& sK31 = sum(pred(sK90),sum(succ(sK88),sum(pred(sK91),succ(sK89))))
& sK30 = sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28)))
& sK29 = sum(pred(sK86),sum(succ(sK84),sum(pred(sK87),succ(sK85))))
& sK28 = sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26)))
& sK27 = sum(pred(sK82),sum(succ(sK80),sum(pred(sK83),succ(sK81))))
& sK26 = sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24)))
& sK25 = sum(pred(sK78),sum(succ(sK76),sum(pred(sK79),succ(sK77))))
& sK24 = sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22)))
& sK23 = sum(pred(sK74),sum(succ(sK72),sum(pred(sK75),succ(sK73))))
& sK22 = sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20)))
& sK21 = sum(pred(sK70),sum(succ(sK68),sum(pred(sK71),succ(sK69))))
& sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18)))
& sK19 = sum(pred(sK66),sum(succ(sK64),sum(pred(sK67),succ(sK65))))
& sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16)))
& sK17 = sum(pred(sK62),sum(succ(sK60),sum(pred(sK63),succ(sK61))))
& sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14)))
& sK15 = sum(pred(sK58),sum(succ(sK56),sum(pred(sK59),succ(sK57))))
& sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12)))
& sK13 = sum(pred(sK54),sum(succ(sK52),sum(pred(sK55),succ(sK53))))
& sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10)))
& sK11 = sum(pred(sK50),sum(succ(sK48),sum(pred(sK51),succ(sK49))))
& sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8)))
& sK9 = sum(pred(sK46),sum(succ(sK44),sum(pred(sK47),succ(sK45))))
& sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6)))
& sK7 = sum(pred(sK42),sum(succ(sK40),sum(pred(sK43),succ(sK41))))
& sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4)))
& sK5 = sum(pred(sK38),sum(succ(sK36),sum(pred(sK39),succ(sK37))))
& sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2)))
& sK3 = sum(pred(sK34),sum(succ(sK32),sum(pred(sK35),succ(sK33))))
& sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))
& sK91 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK29))))))))))))))))
& sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK29))))))))))))))))
& sK90 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28))))))))))))))))
& sK88 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28))))))))))))))))
& sK87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27))))))))))))))))
& sK85 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27))))))))))))))))
& sK86 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26))))))))))))))))
& sK84 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26))))))))))))))))
& sK83 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25))))))))))))))))
& sK81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25))))))))))))))))
& sK82 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24))))))))))))))))
& sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24))))))))))))))))
& sK79 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23))))))))))))))))
& sK77 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23))))))))))))))))
& sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22))))))))))))))))
& sK76 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22))))))))))))))))
& sK75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21))))))))))))))))
& sK73 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21))))))))))))))))
& sK74 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20))))))))))))))))
& sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20))))))))))))))))
& sK71 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19))))))))))))))))
& sK69 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19))))))))))))))))
& sK70 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))))))))
& sK68 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))))))))
& sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17))))))))))))))))
& sK65 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17))))))))))))))))
& sK66 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16))))))))))))))))
& sK64 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16))))))))))))))))
& sK63 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15))))))))))))))))
& sK61 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15))))))))))))))))
& sK62 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))))))))
& sK60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))))))))
& sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13))))))))))))))))
& sK57 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))))))))
& sK58 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12))))))))))))))))
& sK56 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12))))))))))))))))
& sK55 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11))))))))))))))))
& sK53 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11))))))))))))))))
& sK54 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10))))))))))))))))
& sK52 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10))))))))))))))))
& sK51 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9))))))))))))))))
& sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9))))))))))))))))
& sK50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))))))))
& sK48 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))))))))
& sK47 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7))))))))))))))))
& sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7))))))))))))))))
& sK46 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6))))))))))))))))
& sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))))))))
& sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5))))))))))))))))
& sK41 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5))))))))))))))))
& sK42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4))))))))))))))))
& sK40 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4))))))))))))))))
& sK39 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3))))))))))))))))
& sK37 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))))))))
& sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2))))))))))))))))
& sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2))))))))))))))))
& sK35 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))))))))
& sK33 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))))))))
& sK34 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0))))))))))))))))
& sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0))))))))))))))))
& ( n15 = sK1
| n14 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n15 = sK0
| n14 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n14 = sum(n15,n15)
& n13 = sum(n15,n14)
& n12 = sum(n15,n13)
& n11 = sum(n15,n12)
& n10 = sum(n15,n11)
& n9 = sum(n15,n10)
& n8 = sum(n15,n9)
& n7 = sum(n15,n8)
& n6 = sum(n15,n7)
& n5 = sum(n15,n6)
& n4 = sum(n15,n5)
& n3 = sum(n15,n4)
& n2 = sum(n15,n3)
& n1 = sum(n15,n2)
& n0 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n15)
& n12 = sum(n14,n14)
& n11 = sum(n14,n13)
& n10 = sum(n14,n12)
& n9 = sum(n14,n11)
& n8 = sum(n14,n10)
& n7 = sum(n14,n9)
& n6 = sum(n14,n8)
& n5 = sum(n14,n7)
& n4 = sum(n14,n6)
& n3 = sum(n14,n5)
& n2 = sum(n14,n4)
& n1 = sum(n14,n3)
& n0 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n15)
& n11 = sum(n13,n14)
& n10 = sum(n13,n13)
& n9 = sum(n13,n12)
& n8 = sum(n13,n11)
& n7 = sum(n13,n10)
& n6 = sum(n13,n9)
& n5 = sum(n13,n8)
& n4 = sum(n13,n7)
& n3 = sum(n13,n6)
& n2 = sum(n13,n5)
& n1 = sum(n13,n4)
& n0 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n15)
& n10 = sum(n12,n14)
& n9 = sum(n12,n13)
& n8 = sum(n12,n12)
& n7 = sum(n12,n11)
& n6 = sum(n12,n10)
& n5 = sum(n12,n9)
& n4 = sum(n12,n8)
& n3 = sum(n12,n7)
& n2 = sum(n12,n6)
& n1 = sum(n12,n5)
& n0 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n15)
& n9 = sum(n11,n14)
& n8 = sum(n11,n13)
& n7 = sum(n11,n12)
& n6 = sum(n11,n11)
& n5 = sum(n11,n10)
& n4 = sum(n11,n9)
& n3 = sum(n11,n8)
& n2 = sum(n11,n7)
& n1 = sum(n11,n6)
& n0 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n15)
& n8 = sum(n10,n14)
& n7 = sum(n10,n13)
& n6 = sum(n10,n12)
& n5 = sum(n10,n11)
& n4 = sum(n10,n10)
& n3 = sum(n10,n9)
& n2 = sum(n10,n8)
& n1 = sum(n10,n7)
& n0 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n15)
& n7 = sum(n9,n14)
& n6 = sum(n9,n13)
& n5 = sum(n9,n12)
& n4 = sum(n9,n11)
& n3 = sum(n9,n10)
& n2 = sum(n9,n9)
& n1 = sum(n9,n8)
& n0 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n15)
& n6 = sum(n8,n14)
& n5 = sum(n8,n13)
& n4 = sum(n8,n12)
& n3 = sum(n8,n11)
& n2 = sum(n8,n10)
& n1 = sum(n8,n9)
& n0 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n15)
& n5 = sum(n7,n14)
& n4 = sum(n7,n13)
& n3 = sum(n7,n12)
& n2 = sum(n7,n11)
& n1 = sum(n7,n10)
& n0 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n15)
& n4 = sum(n6,n14)
& n3 = sum(n6,n13)
& n2 = sum(n6,n12)
& n1 = sum(n6,n11)
& n0 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n15)
& n3 = sum(n5,n14)
& n2 = sum(n5,n13)
& n1 = sum(n5,n12)
& n0 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n15)
& n2 = sum(n4,n14)
& n1 = sum(n4,n13)
& n0 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n15)
& n1 = sum(n3,n14)
& n0 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n15)
& n0 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n15 = pred(n0)
& n0 = succ(n15)
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ) ),
introduced(choice_axiom,[]) ).
fof(f3,plain,
( n14 != n15
& n13 != n15
& n13 != n14
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( sK30 != sK31
| sK28 != sK29
| sK26 != sK27
| sK24 != sK25 )
& sK31 = sum(pred(sK90),sum(succ(sK88),sum(pred(sK91),succ(sK89))))
& sK30 = sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28)))
& sK29 = sum(pred(sK86),sum(succ(sK84),sum(pred(sK87),succ(sK85))))
& sK28 = sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26)))
& sK27 = sum(pred(sK82),sum(succ(sK80),sum(pred(sK83),succ(sK81))))
& sK26 = sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24)))
& sK25 = sum(pred(sK78),sum(succ(sK76),sum(pred(sK79),succ(sK77))))
& sK24 = sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22)))
& sK23 = sum(pred(sK74),sum(succ(sK72),sum(pred(sK75),succ(sK73))))
& sK22 = sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20)))
& sK21 = sum(pred(sK70),sum(succ(sK68),sum(pred(sK71),succ(sK69))))
& sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18)))
& sK19 = sum(pred(sK66),sum(succ(sK64),sum(pred(sK67),succ(sK65))))
& sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16)))
& sK17 = sum(pred(sK62),sum(succ(sK60),sum(pred(sK63),succ(sK61))))
& sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14)))
& sK15 = sum(pred(sK58),sum(succ(sK56),sum(pred(sK59),succ(sK57))))
& sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12)))
& sK13 = sum(pred(sK54),sum(succ(sK52),sum(pred(sK55),succ(sK53))))
& sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10)))
& sK11 = sum(pred(sK50),sum(succ(sK48),sum(pred(sK51),succ(sK49))))
& sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8)))
& sK9 = sum(pred(sK46),sum(succ(sK44),sum(pred(sK47),succ(sK45))))
& sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6)))
& sK7 = sum(pred(sK42),sum(succ(sK40),sum(pred(sK43),succ(sK41))))
& sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4)))
& sK5 = sum(pred(sK38),sum(succ(sK36),sum(pred(sK39),succ(sK37))))
& sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2)))
& sK3 = sum(pred(sK34),sum(succ(sK32),sum(pred(sK35),succ(sK33))))
& sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))
& sK91 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK29))))))))))))))))
& sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK29))))))))))))))))
& sK90 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28))))))))))))))))
& sK88 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28))))))))))))))))
& sK87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27))))))))))))))))
& sK85 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27))))))))))))))))
& sK86 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26))))))))))))))))
& sK84 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26))))))))))))))))
& sK83 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25))))))))))))))))
& sK81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25))))))))))))))))
& sK82 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24))))))))))))))))
& sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24))))))))))))))))
& sK79 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23))))))))))))))))
& sK77 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23))))))))))))))))
& sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22))))))))))))))))
& sK76 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22))))))))))))))))
& sK75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21))))))))))))))))
& sK73 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21))))))))))))))))
& sK74 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20))))))))))))))))
& sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20))))))))))))))))
& sK71 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19))))))))))))))))
& sK69 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19))))))))))))))))
& sK70 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))))))))
& sK68 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))))))))
& sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17))))))))))))))))
& sK65 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17))))))))))))))))
& sK66 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16))))))))))))))))
& sK64 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16))))))))))))))))
& sK63 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15))))))))))))))))
& sK61 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15))))))))))))))))
& sK62 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))))))))
& sK60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))))))))
& sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13))))))))))))))))
& sK57 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))))))))
& sK58 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12))))))))))))))))
& sK56 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12))))))))))))))))
& sK55 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11))))))))))))))))
& sK53 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11))))))))))))))))
& sK54 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10))))))))))))))))
& sK52 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10))))))))))))))))
& sK51 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9))))))))))))))))
& sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9))))))))))))))))
& sK50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))))))))
& sK48 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))))))))
& sK47 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7))))))))))))))))
& sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7))))))))))))))))
& sK46 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6))))))))))))))))
& sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))))))))
& sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5))))))))))))))))
& sK41 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5))))))))))))))))
& sK42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4))))))))))))))))
& sK40 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4))))))))))))))))
& sK39 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3))))))))))))))))
& sK37 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))))))))
& sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2))))))))))))))))
& sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2))))))))))))))))
& sK35 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))))))))
& sK33 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))))))))
& sK34 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0))))))))))))))))
& sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0))))))))))))))))
& ( n15 = sK1
| n14 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n15 = sK0
| n14 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n14 = sum(n15,n15)
& n13 = sum(n15,n14)
& n12 = sum(n15,n13)
& n11 = sum(n15,n12)
& n10 = sum(n15,n11)
& n9 = sum(n15,n10)
& n8 = sum(n15,n9)
& n7 = sum(n15,n8)
& n6 = sum(n15,n7)
& n5 = sum(n15,n6)
& n4 = sum(n15,n5)
& n3 = sum(n15,n4)
& n2 = sum(n15,n3)
& n1 = sum(n15,n2)
& n0 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n15)
& n12 = sum(n14,n14)
& n11 = sum(n14,n13)
& n10 = sum(n14,n12)
& n9 = sum(n14,n11)
& n8 = sum(n14,n10)
& n7 = sum(n14,n9)
& n6 = sum(n14,n8)
& n5 = sum(n14,n7)
& n4 = sum(n14,n6)
& n3 = sum(n14,n5)
& n2 = sum(n14,n4)
& n1 = sum(n14,n3)
& n0 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n15)
& n11 = sum(n13,n14)
& n10 = sum(n13,n13)
& n9 = sum(n13,n12)
& n8 = sum(n13,n11)
& n7 = sum(n13,n10)
& n6 = sum(n13,n9)
& n5 = sum(n13,n8)
& n4 = sum(n13,n7)
& n3 = sum(n13,n6)
& n2 = sum(n13,n5)
& n1 = sum(n13,n4)
& n0 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n15)
& n10 = sum(n12,n14)
& n9 = sum(n12,n13)
& n8 = sum(n12,n12)
& n7 = sum(n12,n11)
& n6 = sum(n12,n10)
& n5 = sum(n12,n9)
& n4 = sum(n12,n8)
& n3 = sum(n12,n7)
& n2 = sum(n12,n6)
& n1 = sum(n12,n5)
& n0 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n15)
& n9 = sum(n11,n14)
& n8 = sum(n11,n13)
& n7 = sum(n11,n12)
& n6 = sum(n11,n11)
& n5 = sum(n11,n10)
& n4 = sum(n11,n9)
& n3 = sum(n11,n8)
& n2 = sum(n11,n7)
& n1 = sum(n11,n6)
& n0 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n15)
& n8 = sum(n10,n14)
& n7 = sum(n10,n13)
& n6 = sum(n10,n12)
& n5 = sum(n10,n11)
& n4 = sum(n10,n10)
& n3 = sum(n10,n9)
& n2 = sum(n10,n8)
& n1 = sum(n10,n7)
& n0 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n15)
& n7 = sum(n9,n14)
& n6 = sum(n9,n13)
& n5 = sum(n9,n12)
& n4 = sum(n9,n11)
& n3 = sum(n9,n10)
& n2 = sum(n9,n9)
& n1 = sum(n9,n8)
& n0 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n15)
& n6 = sum(n8,n14)
& n5 = sum(n8,n13)
& n4 = sum(n8,n12)
& n3 = sum(n8,n11)
& n2 = sum(n8,n10)
& n1 = sum(n8,n9)
& n0 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n15)
& n5 = sum(n7,n14)
& n4 = sum(n7,n13)
& n3 = sum(n7,n12)
& n2 = sum(n7,n11)
& n1 = sum(n7,n10)
& n0 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n15)
& n4 = sum(n6,n14)
& n3 = sum(n6,n13)
& n2 = sum(n6,n12)
& n1 = sum(n6,n11)
& n0 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n15)
& n3 = sum(n5,n14)
& n2 = sum(n5,n13)
& n1 = sum(n5,n12)
& n0 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n15)
& n2 = sum(n4,n14)
& n1 = sum(n4,n13)
& n0 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n15)
& n1 = sum(n3,n14)
& n0 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n15)
& n0 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n15 = pred(n0)
& n0 = succ(n15)
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61,sK62,sK63,sK64,sK65,sK66,sK67,sK68,sK69,sK70,sK71,sK72,sK73,sK74,sK75,sK76,sK77,sK78,sK79,sK80,sK81,sK82,sK83,sK84,sK85,sK86,sK87,sK88,sK89,sK90,sK91])],[f1,f2]) ).
fof(f4,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f3]) ).
fof(f5,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f3]) ).
fof(f6,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f3]) ).
fof(f7,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f3]) ).
fof(f8,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f3]) ).
fof(f9,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f3]) ).
fof(f10,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f3]) ).
fof(f11,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f3]) ).
fof(f12,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f3]) ).
fof(f14,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f3]) ).
fof(f15,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f3]) ).
fof(f16,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f3]) ).
fof(f17,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f3]) ).
fof(f18,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f3]) ).
fof(f19,plain,
n0 = succ(n15),
inference(cnf_transformation,[],[f3]) ).
fof(f20,plain,
n15 = pred(n0),
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f3]) ).
fof(f27,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f3]) ).
fof(f28,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f3]) ).
fof(f29,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f3]) ).
fof(f31,plain,
n10 = pred(n11),
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
n11 = pred(n12),
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
n12 = pred(n13),
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
n13 = pred(n14),
inference(cnf_transformation,[],[f3]) ).
fof(f35,plain,
n14 = pred(n15),
inference(cnf_transformation,[],[f3]) ).
fof(f36,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f37,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f38,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f39,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f40,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f43,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f44,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f45,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f46,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f47,plain,
n11 = sum(n0,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f48,plain,
n12 = sum(n0,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f49,plain,
n13 = sum(n0,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f50,plain,
n14 = sum(n0,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f51,plain,
n15 = sum(n0,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f52,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f53,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f54,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f55,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f56,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f57,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f58,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f59,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f60,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f61,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f62,plain,
n11 = sum(n1,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f63,plain,
n12 = sum(n1,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f64,plain,
n13 = sum(n1,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f65,plain,
n14 = sum(n1,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f66,plain,
n15 = sum(n1,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f67,plain,
n0 = sum(n1,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f68,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f69,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f70,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f71,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f72,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f73,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f74,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f75,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f76,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f77,plain,
n11 = sum(n2,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f78,plain,
n12 = sum(n2,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f79,plain,
n13 = sum(n2,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f80,plain,
n14 = sum(n2,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f81,plain,
n15 = sum(n2,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f82,plain,
n0 = sum(n2,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f83,plain,
n1 = sum(n2,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f84,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f85,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f86,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f87,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f88,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f89,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f90,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f91,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f92,plain,
n11 = sum(n3,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f93,plain,
n12 = sum(n3,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f94,plain,
n13 = sum(n3,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f95,plain,
n14 = sum(n3,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f96,plain,
n15 = sum(n3,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f97,plain,
n0 = sum(n3,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f98,plain,
n1 = sum(n3,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f99,plain,
n2 = sum(n3,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f100,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f101,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f102,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f103,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f104,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f105,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f106,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f107,plain,
n11 = sum(n4,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f108,plain,
n12 = sum(n4,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f109,plain,
n13 = sum(n4,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f110,plain,
n14 = sum(n4,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f111,plain,
n15 = sum(n4,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
n0 = sum(n4,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
n1 = sum(n4,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
n2 = sum(n4,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
n3 = sum(n4,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f118,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
n11 = sum(n5,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f123,plain,
n12 = sum(n5,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
n13 = sum(n5,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
n14 = sum(n5,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
n15 = sum(n5,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f127,plain,
n0 = sum(n5,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
n1 = sum(n5,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f129,plain,
n2 = sum(n5,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f130,plain,
n3 = sum(n5,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f131,plain,
n4 = sum(n5,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f132,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f133,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f134,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f135,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f137,plain,
n11 = sum(n6,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f138,plain,
n12 = sum(n6,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f139,plain,
n13 = sum(n6,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f140,plain,
n14 = sum(n6,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f141,plain,
n15 = sum(n6,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f142,plain,
n0 = sum(n6,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f143,plain,
n1 = sum(n6,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f144,plain,
n2 = sum(n6,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f145,plain,
n3 = sum(n6,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f146,plain,
n4 = sum(n6,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f147,plain,
n5 = sum(n6,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f148,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f149,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f150,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f151,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f152,plain,
n11 = sum(n7,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f153,plain,
n12 = sum(n7,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f154,plain,
n13 = sum(n7,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f155,plain,
n14 = sum(n7,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f156,plain,
n15 = sum(n7,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f157,plain,
n0 = sum(n7,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f158,plain,
n1 = sum(n7,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f159,plain,
n2 = sum(n7,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f160,plain,
n3 = sum(n7,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f161,plain,
n4 = sum(n7,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f162,plain,
n5 = sum(n7,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f163,plain,
n6 = sum(n7,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f164,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f165,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f166,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f167,plain,
n11 = sum(n8,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f168,plain,
n12 = sum(n8,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f169,plain,
n13 = sum(n8,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f170,plain,
n14 = sum(n8,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f171,plain,
n15 = sum(n8,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f172,plain,
n0 = sum(n8,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f173,plain,
n1 = sum(n8,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f174,plain,
n2 = sum(n8,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f175,plain,
n3 = sum(n8,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f176,plain,
n4 = sum(n8,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f177,plain,
n5 = sum(n8,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f178,plain,
n6 = sum(n8,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f179,plain,
n7 = sum(n8,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f180,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f181,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f182,plain,
n11 = sum(n9,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f183,plain,
n12 = sum(n9,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f184,plain,
n13 = sum(n9,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f185,plain,
n14 = sum(n9,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f186,plain,
n15 = sum(n9,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f187,plain,
n0 = sum(n9,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f188,plain,
n1 = sum(n9,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f189,plain,
n2 = sum(n9,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f190,plain,
n3 = sum(n9,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f191,plain,
n4 = sum(n9,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f192,plain,
n5 = sum(n9,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f193,plain,
n6 = sum(n9,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f194,plain,
n7 = sum(n9,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f195,plain,
n8 = sum(n9,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f196,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f197,plain,
n11 = sum(n10,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f198,plain,
n12 = sum(n10,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f199,plain,
n13 = sum(n10,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f200,plain,
n14 = sum(n10,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f201,plain,
n15 = sum(n10,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f202,plain,
n0 = sum(n10,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f203,plain,
n1 = sum(n10,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f204,plain,
n2 = sum(n10,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f205,plain,
n3 = sum(n10,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f206,plain,
n4 = sum(n10,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f207,plain,
n5 = sum(n10,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f208,plain,
n6 = sum(n10,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f209,plain,
n7 = sum(n10,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f210,plain,
n8 = sum(n10,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f211,plain,
n9 = sum(n10,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f212,plain,
n11 = sum(n11,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f213,plain,
n12 = sum(n11,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f214,plain,
n13 = sum(n11,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f215,plain,
n14 = sum(n11,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f216,plain,
n15 = sum(n11,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f217,plain,
n0 = sum(n11,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f218,plain,
n1 = sum(n11,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f219,plain,
n2 = sum(n11,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f220,plain,
n3 = sum(n11,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f221,plain,
n4 = sum(n11,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f222,plain,
n5 = sum(n11,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f223,plain,
n6 = sum(n11,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f224,plain,
n7 = sum(n11,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f225,plain,
n8 = sum(n11,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f226,plain,
n9 = sum(n11,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f227,plain,
n10 = sum(n11,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f228,plain,
n12 = sum(n12,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f229,plain,
n13 = sum(n12,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f230,plain,
n14 = sum(n12,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f231,plain,
n15 = sum(n12,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f232,plain,
n0 = sum(n12,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f233,plain,
n1 = sum(n12,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f234,plain,
n2 = sum(n12,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f235,plain,
n3 = sum(n12,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f236,plain,
n4 = sum(n12,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f237,plain,
n5 = sum(n12,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f238,plain,
n6 = sum(n12,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f239,plain,
n7 = sum(n12,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f240,plain,
n8 = sum(n12,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f241,plain,
n9 = sum(n12,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f242,plain,
n10 = sum(n12,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f243,plain,
n11 = sum(n12,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f244,plain,
n13 = sum(n13,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f245,plain,
n14 = sum(n13,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f246,plain,
n15 = sum(n13,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f247,plain,
n0 = sum(n13,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f248,plain,
n1 = sum(n13,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f249,plain,
n2 = sum(n13,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f250,plain,
n3 = sum(n13,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f251,plain,
n4 = sum(n13,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f252,plain,
n5 = sum(n13,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f253,plain,
n6 = sum(n13,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f254,plain,
n7 = sum(n13,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f255,plain,
n8 = sum(n13,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f256,plain,
n9 = sum(n13,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f257,plain,
n10 = sum(n13,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f258,plain,
n11 = sum(n13,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f259,plain,
n12 = sum(n13,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f260,plain,
n14 = sum(n14,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f261,plain,
n15 = sum(n14,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f262,plain,
n0 = sum(n14,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f263,plain,
n1 = sum(n14,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f264,plain,
n2 = sum(n14,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f265,plain,
n3 = sum(n14,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f266,plain,
n4 = sum(n14,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f267,plain,
n5 = sum(n14,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f268,plain,
n6 = sum(n14,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f269,plain,
n7 = sum(n14,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f270,plain,
n8 = sum(n14,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f271,plain,
n9 = sum(n14,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f272,plain,
n10 = sum(n14,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f273,plain,
n11 = sum(n14,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f274,plain,
n12 = sum(n14,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f275,plain,
n13 = sum(n14,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f276,plain,
n15 = sum(n15,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f277,plain,
n0 = sum(n15,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f278,plain,
n1 = sum(n15,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f279,plain,
n2 = sum(n15,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f280,plain,
n3 = sum(n15,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f281,plain,
n4 = sum(n15,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f282,plain,
n5 = sum(n15,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f283,plain,
n6 = sum(n15,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f284,plain,
n7 = sum(n15,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f285,plain,
n8 = sum(n15,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f286,plain,
n9 = sum(n15,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f287,plain,
n10 = sum(n15,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f288,plain,
n11 = sum(n15,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f289,plain,
n12 = sum(n15,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f290,plain,
n13 = sum(n15,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f291,plain,
n14 = sum(n15,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f292,plain,
( n15 = sK0
| n14 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f3]) ).
fof(f293,plain,
( n15 = sK1
| n14 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f294,plain,
sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f295,plain,
sK34 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f296,plain,
sK33 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f297,plain,
sK35 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f298,plain,
sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f299,plain,
sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f300,plain,
sK37 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f301,plain,
sK39 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f302,plain,
sK40 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f303,plain,
sK42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f304,plain,
sK41 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f305,plain,
sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f306,plain,
sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f307,plain,
sK46 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f308,plain,
sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f309,plain,
sK47 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f310,plain,
sK48 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f311,plain,
sK50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f312,plain,
sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f313,plain,
sK51 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f314,plain,
sK52 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f315,plain,
sK54 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f316,plain,
sK53 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f317,plain,
sK55 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f318,plain,
sK56 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f319,plain,
sK58 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f320,plain,
sK57 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f321,plain,
sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f322,plain,
sK60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f323,plain,
sK62 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f324,plain,
sK61 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f325,plain,
sK63 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f326,plain,
sK64 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f327,plain,
sK66 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f328,plain,
sK65 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f329,plain,
sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f330,plain,
sK68 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f331,plain,
sK70 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f332,plain,
sK69 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f333,plain,
sK71 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f334,plain,
sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f335,plain,
sK74 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f336,plain,
sK73 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f337,plain,
sK75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f338,plain,
sK76 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f339,plain,
sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f340,plain,
sK77 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f341,plain,
sK79 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f342,plain,
sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f343,plain,
sK82 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f344,plain,
sK81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f345,plain,
sK83 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f346,plain,
sK84 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f347,plain,
sK86 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f348,plain,
sK85 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f349,plain,
sK87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f350,plain,
sK88 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f351,plain,
sK90 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f352,plain,
sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK29)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f353,plain,
sK91 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK29)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f354,plain,
sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))),
inference(cnf_transformation,[],[f3]) ).
fof(f355,plain,
sK3 = sum(pred(sK34),sum(succ(sK32),sum(pred(sK35),succ(sK33)))),
inference(cnf_transformation,[],[f3]) ).
fof(f356,plain,
sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))),
inference(cnf_transformation,[],[f3]) ).
fof(f357,plain,
sK5 = sum(pred(sK38),sum(succ(sK36),sum(pred(sK39),succ(sK37)))),
inference(cnf_transformation,[],[f3]) ).
fof(f358,plain,
sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))),
inference(cnf_transformation,[],[f3]) ).
fof(f359,plain,
sK7 = sum(pred(sK42),sum(succ(sK40),sum(pred(sK43),succ(sK41)))),
inference(cnf_transformation,[],[f3]) ).
fof(f360,plain,
sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))),
inference(cnf_transformation,[],[f3]) ).
fof(f361,plain,
sK9 = sum(pred(sK46),sum(succ(sK44),sum(pred(sK47),succ(sK45)))),
inference(cnf_transformation,[],[f3]) ).
fof(f362,plain,
sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))),
inference(cnf_transformation,[],[f3]) ).
fof(f363,plain,
sK11 = sum(pred(sK50),sum(succ(sK48),sum(pred(sK51),succ(sK49)))),
inference(cnf_transformation,[],[f3]) ).
fof(f364,plain,
sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))),
inference(cnf_transformation,[],[f3]) ).
fof(f365,plain,
sK13 = sum(pred(sK54),sum(succ(sK52),sum(pred(sK55),succ(sK53)))),
inference(cnf_transformation,[],[f3]) ).
fof(f366,plain,
sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))),
inference(cnf_transformation,[],[f3]) ).
fof(f367,plain,
sK15 = sum(pred(sK58),sum(succ(sK56),sum(pred(sK59),succ(sK57)))),
inference(cnf_transformation,[],[f3]) ).
fof(f368,plain,
sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))),
inference(cnf_transformation,[],[f3]) ).
fof(f369,plain,
sK17 = sum(pred(sK62),sum(succ(sK60),sum(pred(sK63),succ(sK61)))),
inference(cnf_transformation,[],[f3]) ).
fof(f370,plain,
sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))),
inference(cnf_transformation,[],[f3]) ).
fof(f371,plain,
sK19 = sum(pred(sK66),sum(succ(sK64),sum(pred(sK67),succ(sK65)))),
inference(cnf_transformation,[],[f3]) ).
fof(f372,plain,
sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))),
inference(cnf_transformation,[],[f3]) ).
fof(f373,plain,
sK21 = sum(pred(sK70),sum(succ(sK68),sum(pred(sK71),succ(sK69)))),
inference(cnf_transformation,[],[f3]) ).
fof(f374,plain,
sK22 = sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20))),
inference(cnf_transformation,[],[f3]) ).
fof(f375,plain,
sK23 = sum(pred(sK74),sum(succ(sK72),sum(pred(sK75),succ(sK73)))),
inference(cnf_transformation,[],[f3]) ).
fof(f376,plain,
sK24 = sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22))),
inference(cnf_transformation,[],[f3]) ).
fof(f377,plain,
sK25 = sum(pred(sK78),sum(succ(sK76),sum(pred(sK79),succ(sK77)))),
inference(cnf_transformation,[],[f3]) ).
fof(f378,plain,
sK26 = sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24))),
inference(cnf_transformation,[],[f3]) ).
fof(f379,plain,
sK27 = sum(pred(sK82),sum(succ(sK80),sum(pred(sK83),succ(sK81)))),
inference(cnf_transformation,[],[f3]) ).
fof(f380,plain,
sK28 = sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26))),
inference(cnf_transformation,[],[f3]) ).
fof(f381,plain,
sK29 = sum(pred(sK86),sum(succ(sK84),sum(pred(sK87),succ(sK85)))),
inference(cnf_transformation,[],[f3]) ).
fof(f382,plain,
sK30 = sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28))),
inference(cnf_transformation,[],[f3]) ).
fof(f383,plain,
sK31 = sum(pred(sK90),sum(succ(sK88),sum(pred(sK91),succ(sK89)))),
inference(cnf_transformation,[],[f3]) ).
fof(f384,plain,
( sK30 != sK31
| sK28 != sK29
| sK26 != sK27
| sK24 != sK25 ),
inference(cnf_transformation,[],[f3]) ).
fof(f385,plain,
n0 != n1,
inference(cnf_transformation,[],[f3]) ).
fof(f386,plain,
n0 != n2,
inference(cnf_transformation,[],[f3]) ).
fof(f387,plain,
n0 != n3,
inference(cnf_transformation,[],[f3]) ).
fof(f392,plain,
n0 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f394,plain,
n0 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f396,plain,
n0 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f397,plain,
n0 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f399,plain,
n0 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f401,plain,
n1 != n3,
inference(cnf_transformation,[],[f3]) ).
fof(f403,plain,
n1 != n5,
inference(cnf_transformation,[],[f3]) ).
fof(f406,plain,
n1 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f408,plain,
n1 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f410,plain,
n1 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f411,plain,
n1 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f413,plain,
n1 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f414,plain,
n2 != n3,
inference(cnf_transformation,[],[f3]) ).
fof(f415,plain,
n2 != n4,
inference(cnf_transformation,[],[f3]) ).
fof(f417,plain,
n2 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f418,plain,
n2 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f419,plain,
n2 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f420,plain,
n2 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f421,plain,
n2 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f422,plain,
n2 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f423,plain,
n2 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f425,plain,
n2 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f426,plain,
n2 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f428,plain,
n3 != n5,
inference(cnf_transformation,[],[f3]) ).
fof(f429,plain,
n3 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f430,plain,
n3 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f434,plain,
n3 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f435,plain,
n3 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f437,plain,
n3 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f438,plain,
n3 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f440,plain,
n4 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f442,plain,
n4 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f445,plain,
n4 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f448,plain,
n4 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f449,plain,
n4 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f450,plain,
n5 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f452,plain,
n5 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f454,plain,
n5 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f458,plain,
n5 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f459,plain,
n5 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f460,plain,
n6 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f461,plain,
n6 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f464,plain,
n6 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f465,plain,
n6 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f467,plain,
n6 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f469,plain,
n7 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f471,plain,
n7 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f472,plain,
n7 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f473,plain,
n7 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f475,plain,
n7 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f476,plain,
n7 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f478,plain,
n8 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f479,plain,
n8 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f480,plain,
n8 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f482,plain,
n8 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f483,plain,
n8 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f486,plain,
n9 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f490,plain,
n10 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f491,plain,
n10 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f495,plain,
n11 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f497,plain,
n11 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f498,plain,
n11 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f501,plain,
n12 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f504,plain,
n14 != n15,
inference(cnf_transformation,[],[f3]) ).
cnf(c_49,plain,
n14 != n15,
inference(cnf_transformation,[],[f504]) ).
cnf(c_52,plain,
n15 != n12,
inference(cnf_transformation,[],[f501]) ).
cnf(c_55,plain,
n15 != n11,
inference(cnf_transformation,[],[f498]) ).
cnf(c_56,plain,
n14 != n11,
inference(cnf_transformation,[],[f497]) ).
cnf(c_58,plain,
n12 != n11,
inference(cnf_transformation,[],[f495]) ).
cnf(c_62,plain,
n12 != n10,
inference(cnf_transformation,[],[f491]) ).
cnf(c_63,plain,
n11 != n10,
inference(cnf_transformation,[],[f490]) ).
cnf(c_67,plain,
n12 != n9,
inference(cnf_transformation,[],[f486]) ).
cnf(c_70,plain,
n15 != n8,
inference(cnf_transformation,[],[f483]) ).
cnf(c_71,plain,
n14 != n8,
inference(cnf_transformation,[],[f482]) ).
cnf(c_73,plain,
n12 != n8,
inference(cnf_transformation,[],[f480]) ).
cnf(c_74,plain,
n11 != n8,
inference(cnf_transformation,[],[f479]) ).
cnf(c_75,plain,
n10 != n8,
inference(cnf_transformation,[],[f478]) ).
cnf(c_77,plain,
n15 != n7,
inference(cnf_transformation,[],[f476]) ).
cnf(c_78,plain,
n14 != n7,
inference(cnf_transformation,[],[f475]) ).
cnf(c_80,plain,
n12 != n7,
inference(cnf_transformation,[],[f473]) ).
cnf(c_81,plain,
n11 != n7,
inference(cnf_transformation,[],[f472]) ).
cnf(c_82,plain,
n10 != n7,
inference(cnf_transformation,[],[f471]) ).
cnf(c_84,plain,
n8 != n7,
inference(cnf_transformation,[],[f469]) ).
cnf(c_86,plain,
n14 != n6,
inference(cnf_transformation,[],[f467]) ).
cnf(c_88,plain,
n12 != n6,
inference(cnf_transformation,[],[f465]) ).
cnf(c_89,plain,
n11 != n6,
inference(cnf_transformation,[],[f464]) ).
cnf(c_92,plain,
n8 != n6,
inference(cnf_transformation,[],[f461]) ).
cnf(c_93,plain,
n7 != n6,
inference(cnf_transformation,[],[f460]) ).
cnf(c_94,plain,
n15 != n5,
inference(cnf_transformation,[],[f459]) ).
cnf(c_95,plain,
n14 != n5,
inference(cnf_transformation,[],[f458]) ).
cnf(c_99,plain,
n10 != n5,
inference(cnf_transformation,[],[f454]) ).
cnf(c_101,plain,
n8 != n5,
inference(cnf_transformation,[],[f452]) ).
cnf(c_103,plain,
n6 != n5,
inference(cnf_transformation,[],[f450]) ).
cnf(c_104,plain,
n15 != n4,
inference(cnf_transformation,[],[f449]) ).
cnf(c_105,plain,
n14 != n4,
inference(cnf_transformation,[],[f448]) ).
cnf(c_108,plain,
n11 != n4,
inference(cnf_transformation,[],[f445]) ).
cnf(c_111,plain,
n8 != n4,
inference(cnf_transformation,[],[f442]) ).
cnf(c_113,plain,
n6 != n4,
inference(cnf_transformation,[],[f440]) ).
cnf(c_115,plain,
n15 != n3,
inference(cnf_transformation,[],[f438]) ).
cnf(c_116,plain,
n14 != n3,
inference(cnf_transformation,[],[f437]) ).
cnf(c_118,plain,
n12 != n3,
inference(cnf_transformation,[],[f435]) ).
cnf(c_119,plain,
n11 != n3,
inference(cnf_transformation,[],[f434]) ).
cnf(c_123,plain,
n7 != n3,
inference(cnf_transformation,[],[f430]) ).
cnf(c_124,plain,
n6 != n3,
inference(cnf_transformation,[],[f429]) ).
cnf(c_125,plain,
n5 != n3,
inference(cnf_transformation,[],[f428]) ).
cnf(c_127,plain,
n15 != n2,
inference(cnf_transformation,[],[f426]) ).
cnf(c_128,plain,
n14 != n2,
inference(cnf_transformation,[],[f425]) ).
cnf(c_130,plain,
n12 != n2,
inference(cnf_transformation,[],[f423]) ).
cnf(c_131,plain,
n11 != n2,
inference(cnf_transformation,[],[f422]) ).
cnf(c_132,plain,
n10 != n2,
inference(cnf_transformation,[],[f421]) ).
cnf(c_133,plain,
n9 != n2,
inference(cnf_transformation,[],[f420]) ).
cnf(c_134,plain,
n8 != n2,
inference(cnf_transformation,[],[f419]) ).
cnf(c_135,plain,
n7 != n2,
inference(cnf_transformation,[],[f418]) ).
cnf(c_136,plain,
n6 != n2,
inference(cnf_transformation,[],[f417]) ).
cnf(c_138,plain,
n4 != n2,
inference(cnf_transformation,[],[f415]) ).
cnf(c_139,plain,
n3 != n2,
inference(cnf_transformation,[],[f414]) ).
cnf(c_140,plain,
n15 != n1,
inference(cnf_transformation,[],[f413]) ).
cnf(c_142,plain,
n13 != n1,
inference(cnf_transformation,[],[f411]) ).
cnf(c_143,plain,
n12 != n1,
inference(cnf_transformation,[],[f410]) ).
cnf(c_145,plain,
n10 != n1,
inference(cnf_transformation,[],[f408]) ).
cnf(c_147,plain,
n8 != n1,
inference(cnf_transformation,[],[f406]) ).
cnf(c_150,plain,
n5 != n1,
inference(cnf_transformation,[],[f403]) ).
cnf(c_152,plain,
n3 != n1,
inference(cnf_transformation,[],[f401]) ).
cnf(c_154,plain,
n15 != n0,
inference(cnf_transformation,[],[f399]) ).
cnf(c_156,plain,
n13 != n0,
inference(cnf_transformation,[],[f397]) ).
cnf(c_157,plain,
n12 != n0,
inference(cnf_transformation,[],[f396]) ).
cnf(c_159,plain,
n10 != n0,
inference(cnf_transformation,[],[f394]) ).
cnf(c_161,plain,
n8 != n0,
inference(cnf_transformation,[],[f392]) ).
cnf(c_166,plain,
n3 != n0,
inference(cnf_transformation,[],[f387]) ).
cnf(c_167,plain,
n2 != n0,
inference(cnf_transformation,[],[f386]) ).
cnf(c_168,plain,
n1 != n0,
inference(cnf_transformation,[],[f385]) ).
cnf(c_169,plain,
( sK30 != sK31
| sK28 != sK29
| sK26 != sK27
| sK24 != sK25 ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_170,plain,
sum(pred(sK90),sum(succ(sK88),sum(pred(sK91),succ(sK89)))) = sK31,
inference(cnf_transformation,[],[f383]) ).
cnf(c_171,plain,
sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28))) = sK30,
inference(cnf_transformation,[],[f382]) ).
cnf(c_172,plain,
sum(pred(sK86),sum(succ(sK84),sum(pred(sK87),succ(sK85)))) = sK29,
inference(cnf_transformation,[],[f381]) ).
cnf(c_173,plain,
sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26))) = sK28,
inference(cnf_transformation,[],[f380]) ).
cnf(c_174,plain,
sum(pred(sK82),sum(succ(sK80),sum(pred(sK83),succ(sK81)))) = sK27,
inference(cnf_transformation,[],[f379]) ).
cnf(c_175,plain,
sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24))) = sK26,
inference(cnf_transformation,[],[f378]) ).
cnf(c_176,plain,
sum(pred(sK78),sum(succ(sK76),sum(pred(sK79),succ(sK77)))) = sK25,
inference(cnf_transformation,[],[f377]) ).
cnf(c_177,plain,
sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22))) = sK24,
inference(cnf_transformation,[],[f376]) ).
cnf(c_178,plain,
sum(pred(sK74),sum(succ(sK72),sum(pred(sK75),succ(sK73)))) = sK23,
inference(cnf_transformation,[],[f375]) ).
cnf(c_179,plain,
sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20))) = sK22,
inference(cnf_transformation,[],[f374]) ).
cnf(c_180,plain,
sum(pred(sK70),sum(succ(sK68),sum(pred(sK71),succ(sK69)))) = sK21,
inference(cnf_transformation,[],[f373]) ).
cnf(c_181,plain,
sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))) = sK20,
inference(cnf_transformation,[],[f372]) ).
cnf(c_182,plain,
sum(pred(sK66),sum(succ(sK64),sum(pred(sK67),succ(sK65)))) = sK19,
inference(cnf_transformation,[],[f371]) ).
cnf(c_183,plain,
sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))) = sK18,
inference(cnf_transformation,[],[f370]) ).
cnf(c_184,plain,
sum(pred(sK62),sum(succ(sK60),sum(pred(sK63),succ(sK61)))) = sK17,
inference(cnf_transformation,[],[f369]) ).
cnf(c_185,plain,
sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))) = sK16,
inference(cnf_transformation,[],[f368]) ).
cnf(c_186,plain,
sum(pred(sK58),sum(succ(sK56),sum(pred(sK59),succ(sK57)))) = sK15,
inference(cnf_transformation,[],[f367]) ).
cnf(c_187,plain,
sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))) = sK14,
inference(cnf_transformation,[],[f366]) ).
cnf(c_188,plain,
sum(pred(sK54),sum(succ(sK52),sum(pred(sK55),succ(sK53)))) = sK13,
inference(cnf_transformation,[],[f365]) ).
cnf(c_189,plain,
sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))) = sK12,
inference(cnf_transformation,[],[f364]) ).
cnf(c_190,plain,
sum(pred(sK50),sum(succ(sK48),sum(pred(sK51),succ(sK49)))) = sK11,
inference(cnf_transformation,[],[f363]) ).
cnf(c_191,plain,
sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))) = sK10,
inference(cnf_transformation,[],[f362]) ).
cnf(c_192,plain,
sum(pred(sK46),sum(succ(sK44),sum(pred(sK47),succ(sK45)))) = sK9,
inference(cnf_transformation,[],[f361]) ).
cnf(c_193,plain,
sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))) = sK8,
inference(cnf_transformation,[],[f360]) ).
cnf(c_194,plain,
sum(pred(sK42),sum(succ(sK40),sum(pred(sK43),succ(sK41)))) = sK7,
inference(cnf_transformation,[],[f359]) ).
cnf(c_195,plain,
sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))) = sK6,
inference(cnf_transformation,[],[f358]) ).
cnf(c_196,plain,
sum(pred(sK38),sum(succ(sK36),sum(pred(sK39),succ(sK37)))) = sK5,
inference(cnf_transformation,[],[f357]) ).
cnf(c_197,plain,
sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))) = sK4,
inference(cnf_transformation,[],[f356]) ).
cnf(c_198,plain,
sum(pred(sK34),sum(succ(sK32),sum(pred(sK35),succ(sK33)))) = sK3,
inference(cnf_transformation,[],[f355]) ).
cnf(c_199,plain,
sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) = sK2,
inference(cnf_transformation,[],[f354]) ).
cnf(c_200,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK29)))))))))))))))) = sK91,
inference(cnf_transformation,[],[f353]) ).
cnf(c_201,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK29)))))))))))))))) = sK89,
inference(cnf_transformation,[],[f352]) ).
cnf(c_202,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28)))))))))))))))) = sK90,
inference(cnf_transformation,[],[f351]) ).
cnf(c_203,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28)))))))))))))))) = sK88,
inference(cnf_transformation,[],[f350]) ).
cnf(c_204,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27)))))))))))))))) = sK87,
inference(cnf_transformation,[],[f349]) ).
cnf(c_205,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27)))))))))))))))) = sK85,
inference(cnf_transformation,[],[f348]) ).
cnf(c_206,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26)))))))))))))))) = sK86,
inference(cnf_transformation,[],[f347]) ).
cnf(c_207,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26)))))))))))))))) = sK84,
inference(cnf_transformation,[],[f346]) ).
cnf(c_208,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25)))))))))))))))) = sK83,
inference(cnf_transformation,[],[f345]) ).
cnf(c_209,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25)))))))))))))))) = sK81,
inference(cnf_transformation,[],[f344]) ).
cnf(c_210,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24)))))))))))))))) = sK82,
inference(cnf_transformation,[],[f343]) ).
cnf(c_211,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24)))))))))))))))) = sK80,
inference(cnf_transformation,[],[f342]) ).
cnf(c_212,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23)))))))))))))))) = sK79,
inference(cnf_transformation,[],[f341]) ).
cnf(c_213,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23)))))))))))))))) = sK77,
inference(cnf_transformation,[],[f340]) ).
cnf(c_214,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22)))))))))))))))) = sK78,
inference(cnf_transformation,[],[f339]) ).
cnf(c_215,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22)))))))))))))))) = sK76,
inference(cnf_transformation,[],[f338]) ).
cnf(c_216,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21)))))))))))))))) = sK75,
inference(cnf_transformation,[],[f337]) ).
cnf(c_217,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21)))))))))))))))) = sK73,
inference(cnf_transformation,[],[f336]) ).
cnf(c_218,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20)))))))))))))))) = sK74,
inference(cnf_transformation,[],[f335]) ).
cnf(c_219,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20)))))))))))))))) = sK72,
inference(cnf_transformation,[],[f334]) ).
cnf(c_220,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19)))))))))))))))) = sK71,
inference(cnf_transformation,[],[f333]) ).
cnf(c_221,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19)))))))))))))))) = sK69,
inference(cnf_transformation,[],[f332]) ).
cnf(c_222,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18)))))))))))))))) = sK70,
inference(cnf_transformation,[],[f331]) ).
cnf(c_223,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18)))))))))))))))) = sK68,
inference(cnf_transformation,[],[f330]) ).
cnf(c_224,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17)))))))))))))))) = sK67,
inference(cnf_transformation,[],[f329]) ).
cnf(c_225,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17)))))))))))))))) = sK65,
inference(cnf_transformation,[],[f328]) ).
cnf(c_226,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))))))) = sK66,
inference(cnf_transformation,[],[f327]) ).
cnf(c_227,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))))))) = sK64,
inference(cnf_transformation,[],[f326]) ).
cnf(c_228,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))))))) = sK63,
inference(cnf_transformation,[],[f325]) ).
cnf(c_229,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))))))) = sK61,
inference(cnf_transformation,[],[f324]) ).
cnf(c_230,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))))))) = sK62,
inference(cnf_transformation,[],[f323]) ).
cnf(c_231,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))))))) = sK60,
inference(cnf_transformation,[],[f322]) ).
cnf(c_232,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))))))) = sK59,
inference(cnf_transformation,[],[f321]) ).
cnf(c_233,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13)))))))))))))))) = sK57,
inference(cnf_transformation,[],[f320]) ).
cnf(c_234,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12)))))))))))))))) = sK58,
inference(cnf_transformation,[],[f319]) ).
cnf(c_235,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12)))))))))))))))) = sK56,
inference(cnf_transformation,[],[f318]) ).
cnf(c_236,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11)))))))))))))))) = sK55,
inference(cnf_transformation,[],[f317]) ).
cnf(c_237,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11)))))))))))))))) = sK53,
inference(cnf_transformation,[],[f316]) ).
cnf(c_238,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10)))))))))))))))) = sK54,
inference(cnf_transformation,[],[f315]) ).
cnf(c_239,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10)))))))))))))))) = sK52,
inference(cnf_transformation,[],[f314]) ).
cnf(c_240,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9)))))))))))))))) = sK51,
inference(cnf_transformation,[],[f313]) ).
cnf(c_241,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9)))))))))))))))) = sK49,
inference(cnf_transformation,[],[f312]) ).
cnf(c_242,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8)))))))))))))))) = sK50,
inference(cnf_transformation,[],[f311]) ).
cnf(c_243,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8)))))))))))))))) = sK48,
inference(cnf_transformation,[],[f310]) ).
cnf(c_244,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7)))))))))))))))) = sK47,
inference(cnf_transformation,[],[f309]) ).
cnf(c_245,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7)))))))))))))))) = sK45,
inference(cnf_transformation,[],[f308]) ).
cnf(c_246,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))) = sK46,
inference(cnf_transformation,[],[f307]) ).
cnf(c_247,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))))))) = sK44,
inference(cnf_transformation,[],[f306]) ).
cnf(c_248,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5)))))))))))))))) = sK43,
inference(cnf_transformation,[],[f305]) ).
cnf(c_249,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5)))))))))))))))) = sK41,
inference(cnf_transformation,[],[f304]) ).
cnf(c_250,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4)))))))))))))))) = sK42,
inference(cnf_transformation,[],[f303]) ).
cnf(c_251,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4)))))))))))))))) = sK40,
inference(cnf_transformation,[],[f302]) ).
cnf(c_252,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))))))) = sK39,
inference(cnf_transformation,[],[f301]) ).
cnf(c_253,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3)))))))))))))))) = sK37,
inference(cnf_transformation,[],[f300]) ).
cnf(c_254,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2)))))))))))))))) = sK38,
inference(cnf_transformation,[],[f299]) ).
cnf(c_255,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2)))))))))))))))) = sK36,
inference(cnf_transformation,[],[f298]) ).
cnf(c_256,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1)))))))))))))))) = sK35,
inference(cnf_transformation,[],[f297]) ).
cnf(c_257,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1)))))))))))))))) = sK33,
inference(cnf_transformation,[],[f296]) ).
cnf(c_258,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0)))))))))))))))) = sK34,
inference(cnf_transformation,[],[f295]) ).
cnf(c_259,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0)))))))))))))))) = sK32,
inference(cnf_transformation,[],[f294]) ).
cnf(c_260,plain,
( n14 = sK1
| n15 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f293]) ).
cnf(c_261,plain,
( n14 = sK0
| n15 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_262,plain,
sum(n15,n15) = n14,
inference(cnf_transformation,[],[f291]) ).
cnf(c_263,plain,
sum(n15,n14) = n13,
inference(cnf_transformation,[],[f290]) ).
cnf(c_264,plain,
sum(n15,n13) = n12,
inference(cnf_transformation,[],[f289]) ).
cnf(c_265,plain,
sum(n15,n12) = n11,
inference(cnf_transformation,[],[f288]) ).
cnf(c_266,plain,
sum(n15,n11) = n10,
inference(cnf_transformation,[],[f287]) ).
cnf(c_267,plain,
sum(n15,n10) = n9,
inference(cnf_transformation,[],[f286]) ).
cnf(c_268,plain,
sum(n15,n9) = n8,
inference(cnf_transformation,[],[f285]) ).
cnf(c_269,plain,
sum(n15,n8) = n7,
inference(cnf_transformation,[],[f284]) ).
cnf(c_270,plain,
sum(n15,n7) = n6,
inference(cnf_transformation,[],[f283]) ).
cnf(c_271,plain,
sum(n15,n6) = n5,
inference(cnf_transformation,[],[f282]) ).
cnf(c_272,plain,
sum(n15,n5) = n4,
inference(cnf_transformation,[],[f281]) ).
cnf(c_273,plain,
sum(n15,n4) = n3,
inference(cnf_transformation,[],[f280]) ).
cnf(c_274,plain,
sum(n15,n3) = n2,
inference(cnf_transformation,[],[f279]) ).
cnf(c_275,plain,
sum(n15,n2) = n1,
inference(cnf_transformation,[],[f278]) ).
cnf(c_276,plain,
sum(n15,n1) = n0,
inference(cnf_transformation,[],[f277]) ).
cnf(c_277,plain,
sum(n15,n0) = n15,
inference(cnf_transformation,[],[f276]) ).
cnf(c_278,plain,
sum(n14,n15) = n13,
inference(cnf_transformation,[],[f275]) ).
cnf(c_279,plain,
sum(n14,n14) = n12,
inference(cnf_transformation,[],[f274]) ).
cnf(c_280,plain,
sum(n14,n13) = n11,
inference(cnf_transformation,[],[f273]) ).
cnf(c_281,plain,
sum(n14,n12) = n10,
inference(cnf_transformation,[],[f272]) ).
cnf(c_282,plain,
sum(n14,n11) = n9,
inference(cnf_transformation,[],[f271]) ).
cnf(c_283,plain,
sum(n14,n10) = n8,
inference(cnf_transformation,[],[f270]) ).
cnf(c_284,plain,
sum(n14,n9) = n7,
inference(cnf_transformation,[],[f269]) ).
cnf(c_285,plain,
sum(n14,n8) = n6,
inference(cnf_transformation,[],[f268]) ).
cnf(c_286,plain,
sum(n14,n7) = n5,
inference(cnf_transformation,[],[f267]) ).
cnf(c_287,plain,
sum(n14,n6) = n4,
inference(cnf_transformation,[],[f266]) ).
cnf(c_288,plain,
sum(n14,n5) = n3,
inference(cnf_transformation,[],[f265]) ).
cnf(c_289,plain,
sum(n14,n4) = n2,
inference(cnf_transformation,[],[f264]) ).
cnf(c_290,plain,
sum(n14,n3) = n1,
inference(cnf_transformation,[],[f263]) ).
cnf(c_291,plain,
sum(n14,n2) = n0,
inference(cnf_transformation,[],[f262]) ).
cnf(c_292,plain,
sum(n14,n1) = n15,
inference(cnf_transformation,[],[f261]) ).
cnf(c_293,plain,
sum(n14,n0) = n14,
inference(cnf_transformation,[],[f260]) ).
cnf(c_294,plain,
sum(n13,n15) = n12,
inference(cnf_transformation,[],[f259]) ).
cnf(c_295,plain,
sum(n13,n14) = n11,
inference(cnf_transformation,[],[f258]) ).
cnf(c_296,plain,
sum(n13,n13) = n10,
inference(cnf_transformation,[],[f257]) ).
cnf(c_297,plain,
sum(n13,n12) = n9,
inference(cnf_transformation,[],[f256]) ).
cnf(c_298,plain,
sum(n13,n11) = n8,
inference(cnf_transformation,[],[f255]) ).
cnf(c_299,plain,
sum(n13,n10) = n7,
inference(cnf_transformation,[],[f254]) ).
cnf(c_300,plain,
sum(n13,n9) = n6,
inference(cnf_transformation,[],[f253]) ).
cnf(c_301,plain,
sum(n13,n8) = n5,
inference(cnf_transformation,[],[f252]) ).
cnf(c_302,plain,
sum(n13,n7) = n4,
inference(cnf_transformation,[],[f251]) ).
cnf(c_303,plain,
sum(n13,n6) = n3,
inference(cnf_transformation,[],[f250]) ).
cnf(c_304,plain,
sum(n13,n5) = n2,
inference(cnf_transformation,[],[f249]) ).
cnf(c_305,plain,
sum(n13,n4) = n1,
inference(cnf_transformation,[],[f248]) ).
cnf(c_306,plain,
sum(n13,n3) = n0,
inference(cnf_transformation,[],[f247]) ).
cnf(c_307,plain,
sum(n13,n2) = n15,
inference(cnf_transformation,[],[f246]) ).
cnf(c_308,plain,
sum(n13,n1) = n14,
inference(cnf_transformation,[],[f245]) ).
cnf(c_309,plain,
sum(n13,n0) = n13,
inference(cnf_transformation,[],[f244]) ).
cnf(c_310,plain,
sum(n12,n15) = n11,
inference(cnf_transformation,[],[f243]) ).
cnf(c_311,plain,
sum(n12,n14) = n10,
inference(cnf_transformation,[],[f242]) ).
cnf(c_312,plain,
sum(n12,n13) = n9,
inference(cnf_transformation,[],[f241]) ).
cnf(c_313,plain,
sum(n12,n12) = n8,
inference(cnf_transformation,[],[f240]) ).
cnf(c_314,plain,
sum(n12,n11) = n7,
inference(cnf_transformation,[],[f239]) ).
cnf(c_315,plain,
sum(n12,n10) = n6,
inference(cnf_transformation,[],[f238]) ).
cnf(c_316,plain,
sum(n12,n9) = n5,
inference(cnf_transformation,[],[f237]) ).
cnf(c_317,plain,
sum(n12,n8) = n4,
inference(cnf_transformation,[],[f236]) ).
cnf(c_318,plain,
sum(n12,n7) = n3,
inference(cnf_transformation,[],[f235]) ).
cnf(c_319,plain,
sum(n12,n6) = n2,
inference(cnf_transformation,[],[f234]) ).
cnf(c_320,plain,
sum(n12,n5) = n1,
inference(cnf_transformation,[],[f233]) ).
cnf(c_321,plain,
sum(n12,n4) = n0,
inference(cnf_transformation,[],[f232]) ).
cnf(c_322,plain,
sum(n12,n3) = n15,
inference(cnf_transformation,[],[f231]) ).
cnf(c_323,plain,
sum(n12,n2) = n14,
inference(cnf_transformation,[],[f230]) ).
cnf(c_324,plain,
sum(n12,n1) = n13,
inference(cnf_transformation,[],[f229]) ).
cnf(c_325,plain,
sum(n12,n0) = n12,
inference(cnf_transformation,[],[f228]) ).
cnf(c_326,plain,
sum(n11,n15) = n10,
inference(cnf_transformation,[],[f227]) ).
cnf(c_327,plain,
sum(n11,n14) = n9,
inference(cnf_transformation,[],[f226]) ).
cnf(c_328,plain,
sum(n11,n13) = n8,
inference(cnf_transformation,[],[f225]) ).
cnf(c_329,plain,
sum(n11,n12) = n7,
inference(cnf_transformation,[],[f224]) ).
cnf(c_330,plain,
sum(n11,n11) = n6,
inference(cnf_transformation,[],[f223]) ).
cnf(c_331,plain,
sum(n11,n10) = n5,
inference(cnf_transformation,[],[f222]) ).
cnf(c_332,plain,
sum(n11,n9) = n4,
inference(cnf_transformation,[],[f221]) ).
cnf(c_333,plain,
sum(n11,n8) = n3,
inference(cnf_transformation,[],[f220]) ).
cnf(c_334,plain,
sum(n11,n7) = n2,
inference(cnf_transformation,[],[f219]) ).
cnf(c_335,plain,
sum(n11,n6) = n1,
inference(cnf_transformation,[],[f218]) ).
cnf(c_336,plain,
sum(n11,n5) = n0,
inference(cnf_transformation,[],[f217]) ).
cnf(c_337,plain,
sum(n11,n4) = n15,
inference(cnf_transformation,[],[f216]) ).
cnf(c_338,plain,
sum(n11,n3) = n14,
inference(cnf_transformation,[],[f215]) ).
cnf(c_339,plain,
sum(n11,n2) = n13,
inference(cnf_transformation,[],[f214]) ).
cnf(c_340,plain,
sum(n11,n1) = n12,
inference(cnf_transformation,[],[f213]) ).
cnf(c_341,plain,
sum(n11,n0) = n11,
inference(cnf_transformation,[],[f212]) ).
cnf(c_342,plain,
sum(n10,n15) = n9,
inference(cnf_transformation,[],[f211]) ).
cnf(c_343,plain,
sum(n10,n14) = n8,
inference(cnf_transformation,[],[f210]) ).
cnf(c_344,plain,
sum(n10,n13) = n7,
inference(cnf_transformation,[],[f209]) ).
cnf(c_345,plain,
sum(n10,n12) = n6,
inference(cnf_transformation,[],[f208]) ).
cnf(c_346,plain,
sum(n10,n11) = n5,
inference(cnf_transformation,[],[f207]) ).
cnf(c_347,plain,
sum(n10,n10) = n4,
inference(cnf_transformation,[],[f206]) ).
cnf(c_348,plain,
sum(n10,n9) = n3,
inference(cnf_transformation,[],[f205]) ).
cnf(c_349,plain,
sum(n10,n8) = n2,
inference(cnf_transformation,[],[f204]) ).
cnf(c_350,plain,
sum(n10,n7) = n1,
inference(cnf_transformation,[],[f203]) ).
cnf(c_351,plain,
sum(n10,n6) = n0,
inference(cnf_transformation,[],[f202]) ).
cnf(c_352,plain,
sum(n10,n5) = n15,
inference(cnf_transformation,[],[f201]) ).
cnf(c_353,plain,
sum(n10,n4) = n14,
inference(cnf_transformation,[],[f200]) ).
cnf(c_354,plain,
sum(n10,n3) = n13,
inference(cnf_transformation,[],[f199]) ).
cnf(c_355,plain,
sum(n10,n2) = n12,
inference(cnf_transformation,[],[f198]) ).
cnf(c_356,plain,
sum(n10,n1) = n11,
inference(cnf_transformation,[],[f197]) ).
cnf(c_357,plain,
sum(n10,n0) = n10,
inference(cnf_transformation,[],[f196]) ).
cnf(c_358,plain,
sum(n9,n15) = n8,
inference(cnf_transformation,[],[f195]) ).
cnf(c_359,plain,
sum(n9,n14) = n7,
inference(cnf_transformation,[],[f194]) ).
cnf(c_360,plain,
sum(n9,n13) = n6,
inference(cnf_transformation,[],[f193]) ).
cnf(c_361,plain,
sum(n9,n12) = n5,
inference(cnf_transformation,[],[f192]) ).
cnf(c_362,plain,
sum(n9,n11) = n4,
inference(cnf_transformation,[],[f191]) ).
cnf(c_363,plain,
sum(n9,n10) = n3,
inference(cnf_transformation,[],[f190]) ).
cnf(c_364,plain,
sum(n9,n9) = n2,
inference(cnf_transformation,[],[f189]) ).
cnf(c_365,plain,
sum(n9,n8) = n1,
inference(cnf_transformation,[],[f188]) ).
cnf(c_366,plain,
sum(n9,n7) = n0,
inference(cnf_transformation,[],[f187]) ).
cnf(c_367,plain,
sum(n9,n6) = n15,
inference(cnf_transformation,[],[f186]) ).
cnf(c_368,plain,
sum(n9,n5) = n14,
inference(cnf_transformation,[],[f185]) ).
cnf(c_369,plain,
sum(n9,n4) = n13,
inference(cnf_transformation,[],[f184]) ).
cnf(c_370,plain,
sum(n9,n3) = n12,
inference(cnf_transformation,[],[f183]) ).
cnf(c_371,plain,
sum(n9,n2) = n11,
inference(cnf_transformation,[],[f182]) ).
cnf(c_372,plain,
sum(n9,n1) = n10,
inference(cnf_transformation,[],[f181]) ).
cnf(c_373,plain,
sum(n9,n0) = n9,
inference(cnf_transformation,[],[f180]) ).
cnf(c_374,plain,
sum(n8,n15) = n7,
inference(cnf_transformation,[],[f179]) ).
cnf(c_375,plain,
sum(n8,n14) = n6,
inference(cnf_transformation,[],[f178]) ).
cnf(c_376,plain,
sum(n8,n13) = n5,
inference(cnf_transformation,[],[f177]) ).
cnf(c_377,plain,
sum(n8,n12) = n4,
inference(cnf_transformation,[],[f176]) ).
cnf(c_378,plain,
sum(n8,n11) = n3,
inference(cnf_transformation,[],[f175]) ).
cnf(c_379,plain,
sum(n8,n10) = n2,
inference(cnf_transformation,[],[f174]) ).
cnf(c_380,plain,
sum(n8,n9) = n1,
inference(cnf_transformation,[],[f173]) ).
cnf(c_381,plain,
sum(n8,n8) = n0,
inference(cnf_transformation,[],[f172]) ).
cnf(c_382,plain,
sum(n8,n7) = n15,
inference(cnf_transformation,[],[f171]) ).
cnf(c_383,plain,
sum(n8,n6) = n14,
inference(cnf_transformation,[],[f170]) ).
cnf(c_384,plain,
sum(n8,n5) = n13,
inference(cnf_transformation,[],[f169]) ).
cnf(c_385,plain,
sum(n8,n4) = n12,
inference(cnf_transformation,[],[f168]) ).
cnf(c_386,plain,
sum(n8,n3) = n11,
inference(cnf_transformation,[],[f167]) ).
cnf(c_387,plain,
sum(n8,n2) = n10,
inference(cnf_transformation,[],[f166]) ).
cnf(c_388,plain,
sum(n8,n1) = n9,
inference(cnf_transformation,[],[f165]) ).
cnf(c_389,plain,
sum(n8,n0) = n8,
inference(cnf_transformation,[],[f164]) ).
cnf(c_390,plain,
sum(n7,n15) = n6,
inference(cnf_transformation,[],[f163]) ).
cnf(c_391,plain,
sum(n7,n14) = n5,
inference(cnf_transformation,[],[f162]) ).
cnf(c_392,plain,
sum(n7,n13) = n4,
inference(cnf_transformation,[],[f161]) ).
cnf(c_393,plain,
sum(n7,n12) = n3,
inference(cnf_transformation,[],[f160]) ).
cnf(c_394,plain,
sum(n7,n11) = n2,
inference(cnf_transformation,[],[f159]) ).
cnf(c_395,plain,
sum(n7,n10) = n1,
inference(cnf_transformation,[],[f158]) ).
cnf(c_396,plain,
sum(n7,n9) = n0,
inference(cnf_transformation,[],[f157]) ).
cnf(c_397,plain,
sum(n7,n8) = n15,
inference(cnf_transformation,[],[f156]) ).
cnf(c_398,plain,
sum(n7,n7) = n14,
inference(cnf_transformation,[],[f155]) ).
cnf(c_399,plain,
sum(n7,n6) = n13,
inference(cnf_transformation,[],[f154]) ).
cnf(c_400,plain,
sum(n7,n5) = n12,
inference(cnf_transformation,[],[f153]) ).
cnf(c_401,plain,
sum(n7,n4) = n11,
inference(cnf_transformation,[],[f152]) ).
cnf(c_402,plain,
sum(n7,n3) = n10,
inference(cnf_transformation,[],[f151]) ).
cnf(c_403,plain,
sum(n7,n2) = n9,
inference(cnf_transformation,[],[f150]) ).
cnf(c_404,plain,
sum(n7,n1) = n8,
inference(cnf_transformation,[],[f149]) ).
cnf(c_405,plain,
sum(n7,n0) = n7,
inference(cnf_transformation,[],[f148]) ).
cnf(c_406,plain,
sum(n6,n15) = n5,
inference(cnf_transformation,[],[f147]) ).
cnf(c_407,plain,
sum(n6,n14) = n4,
inference(cnf_transformation,[],[f146]) ).
cnf(c_408,plain,
sum(n6,n13) = n3,
inference(cnf_transformation,[],[f145]) ).
cnf(c_409,plain,
sum(n6,n12) = n2,
inference(cnf_transformation,[],[f144]) ).
cnf(c_410,plain,
sum(n6,n11) = n1,
inference(cnf_transformation,[],[f143]) ).
cnf(c_411,plain,
sum(n6,n10) = n0,
inference(cnf_transformation,[],[f142]) ).
cnf(c_412,plain,
sum(n6,n9) = n15,
inference(cnf_transformation,[],[f141]) ).
cnf(c_413,plain,
sum(n6,n8) = n14,
inference(cnf_transformation,[],[f140]) ).
cnf(c_414,plain,
sum(n6,n7) = n13,
inference(cnf_transformation,[],[f139]) ).
cnf(c_415,plain,
sum(n6,n6) = n12,
inference(cnf_transformation,[],[f138]) ).
cnf(c_416,plain,
sum(n6,n5) = n11,
inference(cnf_transformation,[],[f137]) ).
cnf(c_417,plain,
sum(n6,n4) = n10,
inference(cnf_transformation,[],[f136]) ).
cnf(c_418,plain,
sum(n6,n3) = n9,
inference(cnf_transformation,[],[f135]) ).
cnf(c_419,plain,
sum(n6,n2) = n8,
inference(cnf_transformation,[],[f134]) ).
cnf(c_420,plain,
sum(n6,n1) = n7,
inference(cnf_transformation,[],[f133]) ).
cnf(c_421,plain,
sum(n6,n0) = n6,
inference(cnf_transformation,[],[f132]) ).
cnf(c_422,plain,
sum(n5,n15) = n4,
inference(cnf_transformation,[],[f131]) ).
cnf(c_423,plain,
sum(n5,n14) = n3,
inference(cnf_transformation,[],[f130]) ).
cnf(c_424,plain,
sum(n5,n13) = n2,
inference(cnf_transformation,[],[f129]) ).
cnf(c_425,plain,
sum(n5,n12) = n1,
inference(cnf_transformation,[],[f128]) ).
cnf(c_426,plain,
sum(n5,n11) = n0,
inference(cnf_transformation,[],[f127]) ).
cnf(c_427,plain,
sum(n5,n10) = n15,
inference(cnf_transformation,[],[f126]) ).
cnf(c_428,plain,
sum(n5,n9) = n14,
inference(cnf_transformation,[],[f125]) ).
cnf(c_429,plain,
sum(n5,n8) = n13,
inference(cnf_transformation,[],[f124]) ).
cnf(c_430,plain,
sum(n5,n7) = n12,
inference(cnf_transformation,[],[f123]) ).
cnf(c_431,plain,
sum(n5,n6) = n11,
inference(cnf_transformation,[],[f122]) ).
cnf(c_432,plain,
sum(n5,n5) = n10,
inference(cnf_transformation,[],[f121]) ).
cnf(c_433,plain,
sum(n5,n4) = n9,
inference(cnf_transformation,[],[f120]) ).
cnf(c_434,plain,
sum(n5,n3) = n8,
inference(cnf_transformation,[],[f119]) ).
cnf(c_435,plain,
sum(n5,n2) = n7,
inference(cnf_transformation,[],[f118]) ).
cnf(c_436,plain,
sum(n5,n1) = n6,
inference(cnf_transformation,[],[f117]) ).
cnf(c_437,plain,
sum(n5,n0) = n5,
inference(cnf_transformation,[],[f116]) ).
cnf(c_438,plain,
sum(n4,n15) = n3,
inference(cnf_transformation,[],[f115]) ).
cnf(c_439,plain,
sum(n4,n14) = n2,
inference(cnf_transformation,[],[f114]) ).
cnf(c_440,plain,
sum(n4,n13) = n1,
inference(cnf_transformation,[],[f113]) ).
cnf(c_441,plain,
sum(n4,n12) = n0,
inference(cnf_transformation,[],[f112]) ).
cnf(c_442,plain,
sum(n4,n11) = n15,
inference(cnf_transformation,[],[f111]) ).
cnf(c_443,plain,
sum(n4,n10) = n14,
inference(cnf_transformation,[],[f110]) ).
cnf(c_444,plain,
sum(n4,n9) = n13,
inference(cnf_transformation,[],[f109]) ).
cnf(c_445,plain,
sum(n4,n8) = n12,
inference(cnf_transformation,[],[f108]) ).
cnf(c_446,plain,
sum(n4,n7) = n11,
inference(cnf_transformation,[],[f107]) ).
cnf(c_447,plain,
sum(n4,n6) = n10,
inference(cnf_transformation,[],[f106]) ).
cnf(c_448,plain,
sum(n4,n5) = n9,
inference(cnf_transformation,[],[f105]) ).
cnf(c_449,plain,
sum(n4,n4) = n8,
inference(cnf_transformation,[],[f104]) ).
cnf(c_450,plain,
sum(n4,n3) = n7,
inference(cnf_transformation,[],[f103]) ).
cnf(c_451,plain,
sum(n4,n2) = n6,
inference(cnf_transformation,[],[f102]) ).
cnf(c_452,plain,
sum(n4,n1) = n5,
inference(cnf_transformation,[],[f101]) ).
cnf(c_453,plain,
sum(n4,n0) = n4,
inference(cnf_transformation,[],[f100]) ).
cnf(c_454,plain,
sum(n3,n15) = n2,
inference(cnf_transformation,[],[f99]) ).
cnf(c_455,plain,
sum(n3,n14) = n1,
inference(cnf_transformation,[],[f98]) ).
cnf(c_456,plain,
sum(n3,n13) = n0,
inference(cnf_transformation,[],[f97]) ).
cnf(c_457,plain,
sum(n3,n12) = n15,
inference(cnf_transformation,[],[f96]) ).
cnf(c_458,plain,
sum(n3,n11) = n14,
inference(cnf_transformation,[],[f95]) ).
cnf(c_459,plain,
sum(n3,n10) = n13,
inference(cnf_transformation,[],[f94]) ).
cnf(c_460,plain,
sum(n3,n9) = n12,
inference(cnf_transformation,[],[f93]) ).
cnf(c_461,plain,
sum(n3,n8) = n11,
inference(cnf_transformation,[],[f92]) ).
cnf(c_462,plain,
sum(n3,n7) = n10,
inference(cnf_transformation,[],[f91]) ).
cnf(c_463,plain,
sum(n3,n6) = n9,
inference(cnf_transformation,[],[f90]) ).
cnf(c_464,plain,
sum(n3,n5) = n8,
inference(cnf_transformation,[],[f89]) ).
cnf(c_465,plain,
sum(n3,n4) = n7,
inference(cnf_transformation,[],[f88]) ).
cnf(c_466,plain,
sum(n3,n3) = n6,
inference(cnf_transformation,[],[f87]) ).
cnf(c_467,plain,
sum(n3,n2) = n5,
inference(cnf_transformation,[],[f86]) ).
cnf(c_468,plain,
sum(n3,n1) = n4,
inference(cnf_transformation,[],[f85]) ).
cnf(c_469,plain,
sum(n3,n0) = n3,
inference(cnf_transformation,[],[f84]) ).
cnf(c_470,plain,
sum(n2,n15) = n1,
inference(cnf_transformation,[],[f83]) ).
cnf(c_471,plain,
sum(n2,n14) = n0,
inference(cnf_transformation,[],[f82]) ).
cnf(c_472,plain,
sum(n2,n13) = n15,
inference(cnf_transformation,[],[f81]) ).
cnf(c_473,plain,
sum(n2,n12) = n14,
inference(cnf_transformation,[],[f80]) ).
cnf(c_474,plain,
sum(n2,n11) = n13,
inference(cnf_transformation,[],[f79]) ).
cnf(c_475,plain,
sum(n2,n10) = n12,
inference(cnf_transformation,[],[f78]) ).
cnf(c_476,plain,
sum(n2,n9) = n11,
inference(cnf_transformation,[],[f77]) ).
cnf(c_477,plain,
sum(n2,n8) = n10,
inference(cnf_transformation,[],[f76]) ).
cnf(c_478,plain,
sum(n2,n7) = n9,
inference(cnf_transformation,[],[f75]) ).
cnf(c_479,plain,
sum(n2,n6) = n8,
inference(cnf_transformation,[],[f74]) ).
cnf(c_480,plain,
sum(n2,n5) = n7,
inference(cnf_transformation,[],[f73]) ).
cnf(c_481,plain,
sum(n2,n4) = n6,
inference(cnf_transformation,[],[f72]) ).
cnf(c_482,plain,
sum(n2,n3) = n5,
inference(cnf_transformation,[],[f71]) ).
cnf(c_483,plain,
sum(n2,n2) = n4,
inference(cnf_transformation,[],[f70]) ).
cnf(c_484,plain,
sum(n2,n1) = n3,
inference(cnf_transformation,[],[f69]) ).
cnf(c_485,plain,
sum(n2,n0) = n2,
inference(cnf_transformation,[],[f68]) ).
cnf(c_486,plain,
sum(n1,n15) = n0,
inference(cnf_transformation,[],[f67]) ).
cnf(c_487,plain,
sum(n1,n14) = n15,
inference(cnf_transformation,[],[f66]) ).
cnf(c_488,plain,
sum(n1,n13) = n14,
inference(cnf_transformation,[],[f65]) ).
cnf(c_489,plain,
sum(n1,n12) = n13,
inference(cnf_transformation,[],[f64]) ).
cnf(c_490,plain,
sum(n1,n11) = n12,
inference(cnf_transformation,[],[f63]) ).
cnf(c_491,plain,
sum(n1,n10) = n11,
inference(cnf_transformation,[],[f62]) ).
cnf(c_492,plain,
sum(n1,n9) = n10,
inference(cnf_transformation,[],[f61]) ).
cnf(c_493,plain,
sum(n1,n8) = n9,
inference(cnf_transformation,[],[f60]) ).
cnf(c_494,plain,
sum(n1,n7) = n8,
inference(cnf_transformation,[],[f59]) ).
cnf(c_495,plain,
sum(n1,n6) = n7,
inference(cnf_transformation,[],[f58]) ).
cnf(c_496,plain,
sum(n1,n5) = n6,
inference(cnf_transformation,[],[f57]) ).
cnf(c_497,plain,
sum(n1,n4) = n5,
inference(cnf_transformation,[],[f56]) ).
cnf(c_498,plain,
sum(n1,n3) = n4,
inference(cnf_transformation,[],[f55]) ).
cnf(c_499,plain,
sum(n1,n2) = n3,
inference(cnf_transformation,[],[f54]) ).
cnf(c_500,plain,
sum(n1,n1) = n2,
inference(cnf_transformation,[],[f53]) ).
cnf(c_501,plain,
sum(n1,n0) = n1,
inference(cnf_transformation,[],[f52]) ).
cnf(c_502,plain,
sum(n0,n15) = n15,
inference(cnf_transformation,[],[f51]) ).
cnf(c_503,plain,
sum(n0,n14) = n14,
inference(cnf_transformation,[],[f50]) ).
cnf(c_504,plain,
sum(n0,n13) = n13,
inference(cnf_transformation,[],[f49]) ).
cnf(c_505,plain,
sum(n0,n12) = n12,
inference(cnf_transformation,[],[f48]) ).
cnf(c_506,plain,
sum(n0,n11) = n11,
inference(cnf_transformation,[],[f47]) ).
cnf(c_507,plain,
sum(n0,n10) = n10,
inference(cnf_transformation,[],[f46]) ).
cnf(c_508,plain,
sum(n0,n9) = n9,
inference(cnf_transformation,[],[f45]) ).
cnf(c_509,plain,
sum(n0,n8) = n8,
inference(cnf_transformation,[],[f44]) ).
cnf(c_510,plain,
sum(n0,n7) = n7,
inference(cnf_transformation,[],[f43]) ).
cnf(c_511,plain,
sum(n0,n6) = n6,
inference(cnf_transformation,[],[f42]) ).
cnf(c_512,plain,
sum(n0,n5) = n5,
inference(cnf_transformation,[],[f41]) ).
cnf(c_513,plain,
sum(n0,n4) = n4,
inference(cnf_transformation,[],[f40]) ).
cnf(c_514,plain,
sum(n0,n3) = n3,
inference(cnf_transformation,[],[f39]) ).
cnf(c_515,plain,
sum(n0,n2) = n2,
inference(cnf_transformation,[],[f38]) ).
cnf(c_516,plain,
sum(n0,n1) = n1,
inference(cnf_transformation,[],[f37]) ).
cnf(c_517,plain,
sum(n0,n0) = n0,
inference(cnf_transformation,[],[f36]) ).
cnf(c_518,plain,
pred(n15) = n14,
inference(cnf_transformation,[],[f35]) ).
cnf(c_519,plain,
pred(n14) = n13,
inference(cnf_transformation,[],[f34]) ).
cnf(c_520,plain,
pred(n13) = n12,
inference(cnf_transformation,[],[f33]) ).
cnf(c_521,plain,
pred(n12) = n11,
inference(cnf_transformation,[],[f32]) ).
cnf(c_522,plain,
pred(n11) = n10,
inference(cnf_transformation,[],[f31]) ).
cnf(c_523,plain,
pred(n10) = n9,
inference(cnf_transformation,[],[f30]) ).
cnf(c_524,plain,
pred(n9) = n8,
inference(cnf_transformation,[],[f29]) ).
cnf(c_525,plain,
pred(n8) = n7,
inference(cnf_transformation,[],[f28]) ).
cnf(c_526,plain,
pred(n7) = n6,
inference(cnf_transformation,[],[f27]) ).
cnf(c_527,plain,
pred(n6) = n5,
inference(cnf_transformation,[],[f26]) ).
cnf(c_528,plain,
pred(n5) = n4,
inference(cnf_transformation,[],[f25]) ).
cnf(c_529,plain,
pred(n4) = n3,
inference(cnf_transformation,[],[f24]) ).
cnf(c_530,plain,
pred(n3) = n2,
inference(cnf_transformation,[],[f23]) ).
cnf(c_531,plain,
pred(n2) = n1,
inference(cnf_transformation,[],[f22]) ).
cnf(c_532,plain,
pred(n1) = n0,
inference(cnf_transformation,[],[f21]) ).
cnf(c_533,plain,
pred(n0) = n15,
inference(cnf_transformation,[],[f20]) ).
cnf(c_534,plain,
succ(n15) = n0,
inference(cnf_transformation,[],[f19]) ).
cnf(c_535,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f18]) ).
cnf(c_536,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f17]) ).
cnf(c_537,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f16]) ).
cnf(c_538,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f15]) ).
cnf(c_539,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f14]) ).
cnf(c_540,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f13]) ).
cnf(c_541,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f12]) ).
cnf(c_542,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f11]) ).
cnf(c_543,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f10]) ).
cnf(c_544,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f9]) ).
cnf(c_545,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f8]) ).
cnf(c_546,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f7]) ).
cnf(c_547,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f6]) ).
cnf(c_548,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f5]) ).
cnf(c_549,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f4]) ).
cnf(c_2790,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_549,c_548,c_547,c_546,c_545,c_544,c_543,c_542,c_541,c_540,c_539,c_538,c_537,c_536,c_535,c_534,c_533,c_532,c_531,c_530,c_529,c_528,c_527,c_526,c_525,c_524,c_523,c_522,c_521,c_520,c_519,c_518,c_517,c_516,c_515,c_514,c_513,c_512,c_511,c_510,c_509,c_508,c_507,c_506,c_505,c_504,c_503,c_502,c_501,c_500,c_499,c_498,c_497,c_496,c_495,c_494,c_493,c_492,c_491,c_490,c_489,c_488,c_487,c_486,c_485,c_484,c_483,c_482,c_481,c_480,c_479,c_478,c_477,c_476,c_475,c_474,c_473,c_472,c_471,c_470,c_469,c_468,c_467,c_466,c_465,c_464,c_463,c_462,c_461,c_460,c_459,c_458,c_457,c_456,c_455,c_454,c_453,c_452,c_451,c_450,c_449,c_448,c_447,c_446,c_445,c_444,c_443,c_442,c_441,c_440,c_439,c_438,c_437,c_436,c_435,c_434,c_433,c_432,c_431,c_430,c_429,c_428,c_427,c_426,c_425,c_424,c_423,c_422,c_421,c_420,c_419,c_418,c_417,c_416,c_415,c_414,c_413,c_412,c_411,c_410,c_409,c_408,c_407,c_406,c_405,c_404,c_403,c_402,c_401,c_400,c_399,c_398,c_397,c_396,c_395,c_394,c_393,c_392,c_391,c_390,c_389,c_388,c_387,c_386,c_385,c_384,c_383,c_382,c_381,c_380,c_379,c_378,c_377,c_376,c_375,c_374,c_373,c_372,c_371,c_370,c_369,c_368,c_367,c_366,c_365,c_364,c_363,c_362,c_361,c_360,c_359,c_358,c_357,c_356,c_355,c_354,c_353,c_352,c_351,c_350,c_349,c_348,c_347,c_346,c_345,c_344,c_343,c_342,c_341,c_340,c_339,c_338,c_337,c_336,c_335,c_334,c_333,c_332,c_331,c_330,c_329,c_328,c_327,c_326,c_325,c_324,c_323,c_322,c_321,c_320,c_319,c_318,c_317,c_316,c_315,c_314,c_313,c_312,c_311,c_310,c_309,c_308,c_307,c_306,c_305,c_304,c_303,c_302,c_301,c_300,c_299,c_298,c_297,c_296,c_295,c_294,c_293,c_292,c_291,c_290,c_289,c_288,c_287,c_286,c_285,c_284,c_283,c_282,c_281,c_280,c_279,c_278,c_277,c_276,c_275,c_274,c_273,c_272,c_271,c_270,c_269,c_268,c_267,c_266,c_265,c_264,c_263,c_262,c_261,c_260,c_259,c_258,c_257,c_256,c_255,c_254,c_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_161,c_159,c_157,c_156,c_154,c_152,c_150,c_147,c_145,c_143,c_142,c_140,c_139,c_138,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_128,c_127,c_125,c_124,c_123,c_119,c_118,c_116,c_115,c_113,c_111,c_108,c_105,c_104,c_103,c_101,c_99,c_95,c_94,c_93,c_92,c_89,c_88,c_86,c_84,c_82,c_81,c_80,c_78,c_77,c_75,c_74,c_73,c_71,c_70,c_67,c_63,c_62,c_58,c_56,c_55,c_52,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : NUM378+1.015.015 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n026.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 19:48:06 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 14.07/2.59 % SZS status Started for theBenchmark.p
% 14.07/2.59 % SZS status Unsatisfiable for theBenchmark.p
% 14.07/2.59
% 14.07/2.59 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 14.07/2.59
% 14.07/2.59 ------ iProver source info
% 14.07/2.59
% 14.07/2.59 git: date: 2024-05-02 19:28:25 +0000
% 14.07/2.59 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 14.07/2.59 git: non_committed_changes: false
% 14.07/2.59
% 14.07/2.59 ------ Parsing...
% 14.07/2.59 ------ Clausification by vclausify_rel & Parsing by iProver...
% 14.07/2.59
% 14.07/2.59 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 14.07/2.59
% 14.07/2.59 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.07/2.59
% 14.07/2.59 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 14.07/2.59 ------ Proving...
% 14.07/2.59 ------ Problem Properties
% 14.07/2.59
% 14.07/2.59
% 14.07/2.59 clauses 501
% 14.07/2.59 conjectures 0
% 14.07/2.59 EPR 123
% 14.07/2.59 Horn 499
% 14.07/2.59 unary 498
% 14.07/2.59 binary 0
% 14.07/2.59 lits 534
% 14.07/2.59 lits eq 534
% 14.07/2.59 fd_pure 0
% 14.07/2.59 fd_pseudo 0
% 14.07/2.59 fd_cond 0
% 14.07/2.59 fd_pseudo_cond 0
% 14.07/2.59 AC symbols 0
% 14.07/2.59
% 14.07/2.59 ------ Schedule dynamic 5 is on
% 14.07/2.59
% 14.07/2.59 ------ no conjectures: strip conj schedule
% 14.07/2.59
% 14.07/2.59 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 14.07/2.59
% 14.07/2.59
% 14.07/2.59 ------
% 14.07/2.59 Current options:
% 14.07/2.59 ------
% 14.07/2.59
% 14.07/2.59
% 14.07/2.59
% 14.07/2.59
% 14.07/2.59 ------ Proving...
% 14.07/2.59
% 14.07/2.59
% 14.07/2.59 % SZS status Unsatisfiable for theBenchmark.p
% 14.07/2.59
% 14.07/2.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.07/2.60
% 14.07/2.60
%------------------------------------------------------------------------------