%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM378+1.020.015 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:24:02 PM UTC 2026
% Result : Unsatisfiable 29.75s 5.23s
% Output : CNFRefutation 29.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 1383 (1375 unt; 0 def)
% Number of atoms : 3125 (3124 equ)
% Maximal formula atoms : 829 ( 2 avg)
% Number of connectives : 2406 ( 664 ~; 172 |;1570 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 879 ( 2 avg)
% Maximal term depth : 22 ( 5 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 116 ( 116 usr; 113 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 0 !; 92 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88,X89,X90,X91] :
( n19 != n20
& n18 != n20
& n18 != n19
& n17 != n20
& n17 != n19
& n17 != n18
& n16 != n20
& n16 != n19
& n16 != n18
& n16 != n17
& n15 != n20
& n15 != n19
& n15 != n18
& n15 != n17
& n15 != n16
& n14 != n20
& n14 != n19
& n14 != n18
& n14 != n17
& n14 != n16
& n14 != n15
& n13 != n20
& n13 != n19
& n13 != n18
& n13 != n17
& n13 != n16
& n13 != n15
& n13 != n14
& n12 != n20
& n12 != n19
& n12 != n18
& n12 != n17
& n12 != n16
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n20
& n11 != n19
& n11 != n18
& n11 != n17
& n11 != n16
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n20
& n10 != n19
& n10 != n18
& n10 != n17
& n10 != n16
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n20
& n9 != n19
& n9 != n18
& n9 != n17
& n9 != n16
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n20
& n8 != n19
& n8 != n18
& n8 != n17
& n8 != n16
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n20
& n7 != n19
& n7 != n18
& n7 != n17
& n7 != n16
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n20
& n6 != n19
& n6 != n18
& n6 != n17
& n6 != n16
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n20
& n5 != n19
& n5 != n18
& n5 != n17
& n5 != n16
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n20
& n4 != n19
& n4 != n18
& n4 != n17
& n4 != n16
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n20
& n3 != n19
& n3 != n18
& n3 != n17
& n3 != n16
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n20
& n2 != n19
& n2 != n18
& n2 != n17
& n2 != n16
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n20
& n1 != n19
& n1 != n18
& n1 != n17
& n1 != n16
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n20
& n0 != n19
& n0 != n18
& n0 != n17
& n0 != n16
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( X30 != X31
| X28 != X29
| X26 != X27
| X24 != X25 )
& X31 = sum(pred(X90),sum(succ(X88),sum(pred(X91),succ(X89))))
& X30 = sum(sum(pred(X28),succ(X29)),sum(pred(X29),succ(X28)))
& X29 = sum(pred(X86),sum(succ(X84),sum(pred(X87),succ(X85))))
& X28 = sum(sum(pred(X26),succ(X27)),sum(pred(X27),succ(X26)))
& X27 = sum(pred(X82),sum(succ(X80),sum(pred(X83),succ(X81))))
& X26 = sum(sum(pred(X24),succ(X25)),sum(pred(X25),succ(X24)))
& X25 = sum(pred(X78),sum(succ(X76),sum(pred(X79),succ(X77))))
& X24 = sum(sum(pred(X22),succ(X23)),sum(pred(X23),succ(X22)))
& X23 = sum(pred(X74),sum(succ(X72),sum(pred(X75),succ(X73))))
& X22 = sum(sum(pred(X20),succ(X21)),sum(pred(X21),succ(X20)))
& X21 = sum(pred(X70),sum(succ(X68),sum(pred(X71),succ(X69))))
& X20 = sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18)))
& X19 = sum(pred(X66),sum(succ(X64),sum(pred(X67),succ(X65))))
& X18 = sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16)))
& X17 = sum(pred(X62),sum(succ(X60),sum(pred(X63),succ(X61))))
& X16 = sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14)))
& X15 = sum(pred(X58),sum(succ(X56),sum(pred(X59),succ(X57))))
& X14 = sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12)))
& X13 = sum(pred(X54),sum(succ(X52),sum(pred(X55),succ(X53))))
& X12 = sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10)))
& X11 = sum(pred(X50),sum(succ(X48),sum(pred(X51),succ(X49))))
& X10 = sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8)))
& X9 = sum(pred(X46),sum(succ(X44),sum(pred(X47),succ(X45))))
& X8 = sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6)))
& X7 = sum(pred(X42),sum(succ(X40),sum(pred(X43),succ(X41))))
& X6 = sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4)))
& X5 = sum(pred(X38),sum(succ(X36),sum(pred(X39),succ(X37))))
& X4 = sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2)))
& X3 = sum(pred(X34),sum(succ(X32),sum(pred(X35),succ(X33))))
& X2 = sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0)))
& X91 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X29)))))))))))))))))))))
& X89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X29)))))))))))))))))))))
& X90 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X28)))))))))))))))))))))
& X88 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X28)))))))))))))))))))))
& X87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X27)))))))))))))))))))))
& X85 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X27)))))))))))))))))))))
& X86 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X26)))))))))))))))))))))
& X84 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X26)))))))))))))))))))))
& X83 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X25)))))))))))))))))))))
& X81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X25)))))))))))))))))))))
& X82 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X24)))))))))))))))))))))
& X80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X24)))))))))))))))))))))
& X79 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X23)))))))))))))))))))))
& X77 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X23)))))))))))))))))))))
& X78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X22)))))))))))))))))))))
& X76 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X22)))))))))))))))))))))
& X75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X21)))))))))))))))))))))
& X73 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X21)))))))))))))))))))))
& X74 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X20)))))))))))))))))))))
& X72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X20)))))))))))))))))))))
& X71 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19)))))))))))))))))))))
& X69 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19)))))))))))))))))))))
& X70 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18)))))))))))))))))))))
& X68 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18)))))))))))))))))))))
& X67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17)))))))))))))))))))))
& X65 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17)))))))))))))))))))))
& X66 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16)))))))))))))))))))))
& X64 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16)))))))))))))))))))))
& X63 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15)))))))))))))))))))))
& X61 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15)))))))))))))))))))))
& X62 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14)))))))))))))))))))))
& X60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14)))))))))))))))))))))
& X59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13)))))))))))))))))))))
& X57 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13)))))))))))))))))))))
& X58 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12)))))))))))))))))))))
& X56 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12)))))))))))))))))))))
& X55 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11)))))))))))))))))))))
& X53 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11)))))))))))))))))))))
& X54 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10)))))))))))))))))))))
& X52 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10)))))))))))))))))))))
& X51 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9)))))))))))))))))))))
& X49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9)))))))))))))))))))))
& X50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8)))))))))))))))))))))
& X48 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8)))))))))))))))))))))
& X47 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7)))))))))))))))))))))
& X45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7)))))))))))))))))))))
& X46 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6)))))))))))))))))))))
& X44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6)))))))))))))))))))))
& X43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5)))))))))))))))))))))
& X41 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5)))))))))))))))))))))
& X42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4)))))))))))))))))))))
& X40 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4)))))))))))))))))))))
& X39 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3)))))))))))))))))))))
& X37 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3)))))))))))))))))))))
& X38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2)))))))))))))))))))))
& X36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2)))))))))))))))))))))
& X35 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1)))))))))))))))))))))
& X33 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1)))))))))))))))))))))
& X34 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0)))))))))))))))))))))
& X32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0)))))))))))))))))))))
& ( X1 = n20
| X1 = n19
| X1 = n18
| X1 = n17
| X1 = n16
| X1 = n15
| X1 = n14
| X1 = n13
| X1 = n12
| X1 = n11
| X1 = n10
| X1 = n9
| X1 = n8
| X1 = n7
| X1 = n6
| X1 = n5
| X1 = n4
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0 )
& ( X0 = n20
| X0 = n19
| X0 = n18
| X0 = n17
| X0 = n16
| X0 = n15
| X0 = n14
| X0 = n13
| X0 = n12
| X0 = n11
| X0 = n10
| X0 = n9
| X0 = n8
| X0 = n7
| X0 = n6
| X0 = n5
| X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 )
& sum(n20,n20) = n19
& sum(n20,n19) = n18
& sum(n20,n18) = n17
& sum(n20,n17) = n16
& sum(n20,n16) = n15
& sum(n20,n15) = n14
& sum(n20,n14) = n13
& sum(n20,n13) = n12
& sum(n20,n12) = n11
& sum(n20,n11) = n10
& sum(n20,n10) = n9
& sum(n20,n9) = n8
& sum(n20,n8) = n7
& sum(n20,n7) = n6
& sum(n20,n6) = n5
& sum(n20,n5) = n4
& sum(n20,n4) = n3
& sum(n20,n3) = n2
& sum(n20,n2) = n1
& sum(n20,n1) = n0
& sum(n20,n0) = n20
& sum(n19,n20) = n18
& sum(n19,n19) = n17
& sum(n19,n18) = n16
& sum(n19,n17) = n15
& sum(n19,n16) = n14
& sum(n19,n15) = n13
& sum(n19,n14) = n12
& sum(n19,n13) = n11
& sum(n19,n12) = n10
& sum(n19,n11) = n9
& sum(n19,n10) = n8
& sum(n19,n9) = n7
& sum(n19,n8) = n6
& sum(n19,n7) = n5
& sum(n19,n6) = n4
& sum(n19,n5) = n3
& sum(n19,n4) = n2
& sum(n19,n3) = n1
& sum(n19,n2) = n0
& sum(n19,n1) = n20
& sum(n19,n0) = n19
& sum(n18,n20) = n17
& sum(n18,n19) = n16
& sum(n18,n18) = n15
& sum(n18,n17) = n14
& sum(n18,n16) = n13
& sum(n18,n15) = n12
& sum(n18,n14) = n11
& sum(n18,n13) = n10
& sum(n18,n12) = n9
& sum(n18,n11) = n8
& sum(n18,n10) = n7
& sum(n18,n9) = n6
& sum(n18,n8) = n5
& sum(n18,n7) = n4
& sum(n18,n6) = n3
& sum(n18,n5) = n2
& sum(n18,n4) = n1
& sum(n18,n3) = n0
& sum(n18,n2) = n20
& sum(n18,n1) = n19
& sum(n18,n0) = n18
& sum(n17,n20) = n16
& sum(n17,n19) = n15
& sum(n17,n18) = n14
& sum(n17,n17) = n13
& sum(n17,n16) = n12
& sum(n17,n15) = n11
& sum(n17,n14) = n10
& sum(n17,n13) = n9
& sum(n17,n12) = n8
& sum(n17,n11) = n7
& sum(n17,n10) = n6
& sum(n17,n9) = n5
& sum(n17,n8) = n4
& sum(n17,n7) = n3
& sum(n17,n6) = n2
& sum(n17,n5) = n1
& sum(n17,n4) = n0
& sum(n17,n3) = n20
& sum(n17,n2) = n19
& sum(n17,n1) = n18
& sum(n17,n0) = n17
& sum(n16,n20) = n15
& sum(n16,n19) = n14
& sum(n16,n18) = n13
& sum(n16,n17) = n12
& sum(n16,n16) = n11
& sum(n16,n15) = n10
& sum(n16,n14) = n9
& sum(n16,n13) = n8
& sum(n16,n12) = n7
& sum(n16,n11) = n6
& sum(n16,n10) = n5
& sum(n16,n9) = n4
& sum(n16,n8) = n3
& sum(n16,n7) = n2
& sum(n16,n6) = n1
& sum(n16,n5) = n0
& sum(n16,n4) = n20
& sum(n16,n3) = n19
& sum(n16,n2) = n18
& sum(n16,n1) = n17
& sum(n16,n0) = n16
& sum(n15,n20) = n14
& sum(n15,n19) = n13
& sum(n15,n18) = n12
& sum(n15,n17) = n11
& sum(n15,n16) = n10
& sum(n15,n15) = n9
& sum(n15,n14) = n8
& sum(n15,n13) = n7
& sum(n15,n12) = n6
& sum(n15,n11) = n5
& sum(n15,n10) = n4
& sum(n15,n9) = n3
& sum(n15,n8) = n2
& sum(n15,n7) = n1
& sum(n15,n6) = n0
& sum(n15,n5) = n20
& sum(n15,n4) = n19
& sum(n15,n3) = n18
& sum(n15,n2) = n17
& sum(n15,n1) = n16
& sum(n15,n0) = n15
& sum(n14,n20) = n13
& sum(n14,n19) = n12
& sum(n14,n18) = n11
& sum(n14,n17) = n10
& sum(n14,n16) = n9
& sum(n14,n15) = n8
& sum(n14,n14) = n7
& sum(n14,n13) = n6
& sum(n14,n12) = n5
& sum(n14,n11) = n4
& sum(n14,n10) = n3
& sum(n14,n9) = n2
& sum(n14,n8) = n1
& sum(n14,n7) = n0
& sum(n14,n6) = n20
& sum(n14,n5) = n19
& sum(n14,n4) = n18
& sum(n14,n3) = n17
& sum(n14,n2) = n16
& sum(n14,n1) = n15
& sum(n14,n0) = n14
& sum(n13,n20) = n12
& sum(n13,n19) = n11
& sum(n13,n18) = n10
& sum(n13,n17) = n9
& sum(n13,n16) = n8
& sum(n13,n15) = n7
& sum(n13,n14) = n6
& sum(n13,n13) = n5
& sum(n13,n12) = n4
& sum(n13,n11) = n3
& sum(n13,n10) = n2
& sum(n13,n9) = n1
& sum(n13,n8) = n0
& sum(n13,n7) = n20
& sum(n13,n6) = n19
& sum(n13,n5) = n18
& sum(n13,n4) = n17
& sum(n13,n3) = n16
& sum(n13,n2) = n15
& sum(n13,n1) = n14
& sum(n13,n0) = n13
& sum(n12,n20) = n11
& sum(n12,n19) = n10
& sum(n12,n18) = n9
& sum(n12,n17) = n8
& sum(n12,n16) = n7
& sum(n12,n15) = n6
& sum(n12,n14) = n5
& sum(n12,n13) = n4
& sum(n12,n12) = n3
& sum(n12,n11) = n2
& sum(n12,n10) = n1
& sum(n12,n9) = n0
& sum(n12,n8) = n20
& sum(n12,n7) = n19
& sum(n12,n6) = n18
& sum(n12,n5) = n17
& sum(n12,n4) = n16
& sum(n12,n3) = n15
& sum(n12,n2) = n14
& sum(n12,n1) = n13
& sum(n12,n0) = n12
& sum(n11,n20) = n10
& sum(n11,n19) = n9
& sum(n11,n18) = n8
& sum(n11,n17) = n7
& sum(n11,n16) = n6
& sum(n11,n15) = n5
& sum(n11,n14) = n4
& sum(n11,n13) = n3
& sum(n11,n12) = n2
& sum(n11,n11) = n1
& sum(n11,n10) = n0
& sum(n11,n9) = n20
& sum(n11,n8) = n19
& sum(n11,n7) = n18
& sum(n11,n6) = n17
& sum(n11,n5) = n16
& sum(n11,n4) = n15
& sum(n11,n3) = n14
& sum(n11,n2) = n13
& sum(n11,n1) = n12
& sum(n11,n0) = n11
& sum(n10,n20) = n9
& sum(n10,n19) = n8
& sum(n10,n18) = n7
& sum(n10,n17) = n6
& sum(n10,n16) = n5
& sum(n10,n15) = n4
& sum(n10,n14) = n3
& sum(n10,n13) = n2
& sum(n10,n12) = n1
& sum(n10,n11) = n0
& sum(n10,n10) = n20
& sum(n10,n9) = n19
& sum(n10,n8) = n18
& sum(n10,n7) = n17
& sum(n10,n6) = n16
& sum(n10,n5) = n15
& sum(n10,n4) = n14
& sum(n10,n3) = n13
& sum(n10,n2) = n12
& sum(n10,n1) = n11
& sum(n10,n0) = n10
& sum(n9,n20) = n8
& sum(n9,n19) = n7
& sum(n9,n18) = n6
& sum(n9,n17) = n5
& sum(n9,n16) = n4
& sum(n9,n15) = n3
& sum(n9,n14) = n2
& sum(n9,n13) = n1
& sum(n9,n12) = n0
& sum(n9,n11) = n20
& sum(n9,n10) = n19
& sum(n9,n9) = n18
& sum(n9,n8) = n17
& sum(n9,n7) = n16
& sum(n9,n6) = n15
& sum(n9,n5) = n14
& sum(n9,n4) = n13
& sum(n9,n3) = n12
& sum(n9,n2) = n11
& sum(n9,n1) = n10
& sum(n9,n0) = n9
& sum(n8,n20) = n7
& sum(n8,n19) = n6
& sum(n8,n18) = n5
& sum(n8,n17) = n4
& sum(n8,n16) = n3
& sum(n8,n15) = n2
& sum(n8,n14) = n1
& sum(n8,n13) = n0
& sum(n8,n12) = n20
& sum(n8,n11) = n19
& sum(n8,n10) = n18
& sum(n8,n9) = n17
& sum(n8,n8) = n16
& sum(n8,n7) = n15
& sum(n8,n6) = n14
& sum(n8,n5) = n13
& sum(n8,n4) = n12
& sum(n8,n3) = n11
& sum(n8,n2) = n10
& sum(n8,n1) = n9
& sum(n8,n0) = n8
& sum(n7,n20) = n6
& sum(n7,n19) = n5
& sum(n7,n18) = n4
& sum(n7,n17) = n3
& sum(n7,n16) = n2
& sum(n7,n15) = n1
& sum(n7,n14) = n0
& sum(n7,n13) = n20
& sum(n7,n12) = n19
& sum(n7,n11) = n18
& sum(n7,n10) = n17
& sum(n7,n9) = n16
& sum(n7,n8) = n15
& sum(n7,n7) = n14
& sum(n7,n6) = n13
& sum(n7,n5) = n12
& sum(n7,n4) = n11
& sum(n7,n3) = n10
& sum(n7,n2) = n9
& sum(n7,n1) = n8
& sum(n7,n0) = n7
& sum(n6,n20) = n5
& sum(n6,n19) = n4
& sum(n6,n18) = n3
& sum(n6,n17) = n2
& sum(n6,n16) = n1
& sum(n6,n15) = n0
& sum(n6,n14) = n20
& sum(n6,n13) = n19
& sum(n6,n12) = n18
& sum(n6,n11) = n17
& sum(n6,n10) = n16
& sum(n6,n9) = n15
& sum(n6,n8) = n14
& sum(n6,n7) = n13
& sum(n6,n6) = n12
& sum(n6,n5) = n11
& sum(n6,n4) = n10
& sum(n6,n3) = n9
& sum(n6,n2) = n8
& sum(n6,n1) = n7
& sum(n6,n0) = n6
& sum(n5,n20) = n4
& sum(n5,n19) = n3
& sum(n5,n18) = n2
& sum(n5,n17) = n1
& sum(n5,n16) = n0
& sum(n5,n15) = n20
& sum(n5,n14) = n19
& sum(n5,n13) = n18
& sum(n5,n12) = n17
& sum(n5,n11) = n16
& sum(n5,n10) = n15
& sum(n5,n9) = n14
& sum(n5,n8) = n13
& sum(n5,n7) = n12
& sum(n5,n6) = n11
& sum(n5,n5) = n10
& sum(n5,n4) = n9
& sum(n5,n3) = n8
& sum(n5,n2) = n7
& sum(n5,n1) = n6
& sum(n5,n0) = n5
& sum(n4,n20) = n3
& sum(n4,n19) = n2
& sum(n4,n18) = n1
& sum(n4,n17) = n0
& sum(n4,n16) = n20
& sum(n4,n15) = n19
& sum(n4,n14) = n18
& sum(n4,n13) = n17
& sum(n4,n12) = n16
& sum(n4,n11) = n15
& sum(n4,n10) = n14
& sum(n4,n9) = n13
& sum(n4,n8) = n12
& sum(n4,n7) = n11
& sum(n4,n6) = n10
& sum(n4,n5) = n9
& sum(n4,n4) = n8
& sum(n4,n3) = n7
& sum(n4,n2) = n6
& sum(n4,n1) = n5
& sum(n4,n0) = n4
& sum(n3,n20) = n2
& sum(n3,n19) = n1
& sum(n3,n18) = n0
& sum(n3,n17) = n20
& sum(n3,n16) = n19
& sum(n3,n15) = n18
& sum(n3,n14) = n17
& sum(n3,n13) = n16
& sum(n3,n12) = n15
& sum(n3,n11) = n14
& sum(n3,n10) = n13
& sum(n3,n9) = n12
& sum(n3,n8) = n11
& sum(n3,n7) = n10
& sum(n3,n6) = n9
& sum(n3,n5) = n8
& sum(n3,n4) = n7
& sum(n3,n3) = n6
& sum(n3,n2) = n5
& sum(n3,n1) = n4
& sum(n3,n0) = n3
& sum(n2,n20) = n1
& sum(n2,n19) = n0
& sum(n2,n18) = n20
& sum(n2,n17) = n19
& sum(n2,n16) = n18
& sum(n2,n15) = n17
& sum(n2,n14) = n16
& sum(n2,n13) = n15
& sum(n2,n12) = n14
& sum(n2,n11) = n13
& sum(n2,n10) = n12
& sum(n2,n9) = n11
& sum(n2,n8) = n10
& sum(n2,n7) = n9
& sum(n2,n6) = n8
& sum(n2,n5) = n7
& sum(n2,n4) = n6
& sum(n2,n3) = n5
& sum(n2,n2) = n4
& sum(n2,n1) = n3
& sum(n2,n0) = n2
& sum(n1,n20) = n0
& sum(n1,n19) = n20
& sum(n1,n18) = n19
& sum(n1,n17) = n18
& sum(n1,n16) = n17
& sum(n1,n15) = n16
& sum(n1,n14) = n15
& sum(n1,n13) = n14
& sum(n1,n12) = n13
& sum(n1,n11) = n12
& sum(n1,n10) = n11
& sum(n1,n9) = n10
& sum(n1,n8) = n9
& sum(n1,n7) = n8
& sum(n1,n6) = n7
& sum(n1,n5) = n6
& sum(n1,n4) = n5
& sum(n1,n3) = n4
& sum(n1,n2) = n3
& sum(n1,n1) = n2
& sum(n1,n0) = n1
& sum(n0,n20) = n20
& sum(n0,n19) = n19
& sum(n0,n18) = n18
& sum(n0,n17) = n17
& sum(n0,n16) = n16
& sum(n0,n15) = n15
& sum(n0,n14) = n14
& sum(n0,n13) = n13
& sum(n0,n12) = n12
& sum(n0,n11) = n11
& sum(n0,n10) = n10
& sum(n0,n9) = n9
& sum(n0,n8) = n8
& sum(n0,n7) = n7
& sum(n0,n6) = n6
& sum(n0,n5) = n5
& sum(n0,n4) = n4
& sum(n0,n3) = n3
& sum(n0,n2) = n2
& sum(n0,n1) = n1
& sum(n0,n0) = n0
& pred(n20) = n19
& pred(n19) = n18
& pred(n18) = n17
& pred(n17) = n16
& pred(n16) = n15
& pred(n15) = n14
& pred(n14) = n13
& pred(n13) = n12
& pred(n12) = n11
& pred(n11) = n10
& pred(n10) = n9
& pred(n9) = n8
& pred(n8) = n7
& pred(n7) = n6
& pred(n6) = n5
& pred(n5) = n4
& pred(n4) = n3
& pred(n3) = n2
& pred(n2) = n1
& pred(n1) = n0
& pred(n0) = n20
& succ(n20) = n0
& succ(n19) = n20
& succ(n18) = n19
& succ(n17) = n18
& succ(n16) = n17
& succ(n15) = n16
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f2,plain,
( n19 != n20
& n18 != n20
& n18 != n19
& n17 != n20
& n17 != n19
& n17 != n18
& n16 != n20
& n16 != n19
& n16 != n18
& n16 != n17
& n15 != n20
& n15 != n19
& n15 != n18
& n15 != n17
& n15 != n16
& n14 != n20
& n14 != n19
& n14 != n18
& n14 != n17
& n14 != n16
& n14 != n15
& n13 != n20
& n13 != n19
& n13 != n18
& n13 != n17
& n13 != n16
& n13 != n15
& n13 != n14
& n12 != n20
& n12 != n19
& n12 != n18
& n12 != n17
& n12 != n16
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n20
& n11 != n19
& n11 != n18
& n11 != n17
& n11 != n16
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n20
& n10 != n19
& n10 != n18
& n10 != n17
& n10 != n16
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n20
& n9 != n19
& n9 != n18
& n9 != n17
& n9 != n16
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n20
& n8 != n19
& n8 != n18
& n8 != n17
& n8 != n16
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n20
& n7 != n19
& n7 != n18
& n7 != n17
& n7 != n16
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n20
& n6 != n19
& n6 != n18
& n6 != n17
& n6 != n16
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n20
& n5 != n19
& n5 != n18
& n5 != n17
& n5 != n16
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n20
& n4 != n19
& n4 != n18
& n4 != n17
& n4 != n16
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n20
& n3 != n19
& n3 != n18
& n3 != n17
& n3 != n16
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n20
& n2 != n19
& n2 != n18
& n2 != n17
& n2 != n16
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n20
& n1 != n19
& n1 != n18
& n1 != n17
& n1 != n16
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n20
& n0 != n19
& n0 != n18
& n0 != n17
& n0 != n16
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( sK30 != sK31
| sK28 != sK29
| sK26 != sK27
| sK24 != sK25 )
& sK31 = sum(pred(sK90),sum(succ(sK88),sum(pred(sK91),succ(sK89))))
& sK30 = sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28)))
& sK29 = sum(pred(sK86),sum(succ(sK84),sum(pred(sK87),succ(sK85))))
& sK28 = sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26)))
& sK27 = sum(pred(sK82),sum(succ(sK80),sum(pred(sK83),succ(sK81))))
& sK26 = sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24)))
& sK25 = sum(pred(sK78),sum(succ(sK76),sum(pred(sK79),succ(sK77))))
& sK24 = sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22)))
& sK23 = sum(pred(sK74),sum(succ(sK72),sum(pred(sK75),succ(sK73))))
& sK22 = sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20)))
& sK21 = sum(pred(sK70),sum(succ(sK68),sum(pred(sK71),succ(sK69))))
& sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18)))
& sK19 = sum(pred(sK66),sum(succ(sK64),sum(pred(sK67),succ(sK65))))
& sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16)))
& sK17 = sum(pred(sK62),sum(succ(sK60),sum(pred(sK63),succ(sK61))))
& sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14)))
& sK15 = sum(pred(sK58),sum(succ(sK56),sum(pred(sK59),succ(sK57))))
& sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12)))
& sK13 = sum(pred(sK54),sum(succ(sK52),sum(pred(sK55),succ(sK53))))
& sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10)))
& sK11 = sum(pred(sK50),sum(succ(sK48),sum(pred(sK51),succ(sK49))))
& sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8)))
& sK9 = sum(pred(sK46),sum(succ(sK44),sum(pred(sK47),succ(sK45))))
& sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6)))
& sK7 = sum(pred(sK42),sum(succ(sK40),sum(pred(sK43),succ(sK41))))
& sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4)))
& sK5 = sum(pred(sK38),sum(succ(sK36),sum(pred(sK39),succ(sK37))))
& sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2)))
& sK3 = sum(pred(sK34),sum(succ(sK32),sum(pred(sK35),succ(sK33))))
& sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))
& sK91 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK29)))))))))))))))))))))
& sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK29)))))))))))))))))))))
& sK90 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28)))))))))))))))))))))
& sK88 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28)))))))))))))))))))))
& sK87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27)))))))))))))))))))))
& sK85 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27)))))))))))))))))))))
& sK86 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26)))))))))))))))))))))
& sK84 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26)))))))))))))))))))))
& sK83 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25)))))))))))))))))))))
& sK81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25)))))))))))))))))))))
& sK82 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24)))))))))))))))))))))
& sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24)))))))))))))))))))))
& sK79 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23)))))))))))))))))))))
& sK77 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23)))))))))))))))))))))
& sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22)))))))))))))))))))))
& sK76 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22)))))))))))))))))))))
& sK75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21)))))))))))))))))))))
& sK73 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21)))))))))))))))))))))
& sK74 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20)))))))))))))))))))))
& sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20)))))))))))))))))))))
& sK71 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19)))))))))))))))))))))
& sK69 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19)))))))))))))))))))))
& sK70 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18)))))))))))))))))))))
& sK68 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18)))))))))))))))))))))
& sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17)))))))))))))))))))))
& sK65 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17)))))))))))))))))))))
& sK66 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))))))))))))
& sK64 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))))))))))))
& sK63 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))))))))))))
& sK61 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))))))))))))
& sK62 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))))))))))))
& sK60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))))))))))))
& sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))))))))))))
& sK57 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13)))))))))))))))))))))
& sK58 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12)))))))))))))))))))))
& sK56 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12)))))))))))))))))))))
& sK55 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11)))))))))))))))))))))
& sK53 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11)))))))))))))))))))))
& sK54 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10)))))))))))))))))))))
& sK52 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10)))))))))))))))))))))
& sK51 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9)))))))))))))))))))))
& sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9)))))))))))))))))))))
& sK50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8)))))))))))))))))))))
& sK48 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8)))))))))))))))))))))
& sK47 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7)))))))))))))))))))))
& sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7)))))))))))))))))))))
& sK46 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))))))))
& sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))))))))))))
& sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5)))))))))))))))))))))
& sK41 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5)))))))))))))))))))))
& sK42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4)))))))))))))))))))))
& sK40 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4)))))))))))))))))))))
& sK39 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))))))))))))
& sK37 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3)))))))))))))))))))))
& sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2)))))))))))))))))))))
& sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2)))))))))))))))))))))
& sK35 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1)))))))))))))))))))))
& sK33 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1)))))))))))))))))))))
& sK34 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0)))))))))))))))))))))
& sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0)))))))))))))))))))))
& ( n20 = sK1
| n19 = sK1
| n18 = sK1
| n17 = sK1
| n16 = sK1
| n15 = sK1
| n14 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n20 = sK0
| n19 = sK0
| n18 = sK0
| n17 = sK0
| n16 = sK0
| n15 = sK0
| n14 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& sum(n20,n20) = n19
& sum(n20,n19) = n18
& sum(n20,n18) = n17
& sum(n20,n17) = n16
& sum(n20,n16) = n15
& sum(n20,n15) = n14
& sum(n20,n14) = n13
& sum(n20,n13) = n12
& sum(n20,n12) = n11
& sum(n20,n11) = n10
& sum(n20,n10) = n9
& sum(n20,n9) = n8
& sum(n20,n8) = n7
& sum(n20,n7) = n6
& sum(n20,n6) = n5
& sum(n20,n5) = n4
& sum(n20,n4) = n3
& sum(n20,n3) = n2
& sum(n20,n2) = n1
& sum(n20,n1) = n0
& sum(n20,n0) = n20
& sum(n19,n20) = n18
& sum(n19,n19) = n17
& sum(n19,n18) = n16
& sum(n19,n17) = n15
& sum(n19,n16) = n14
& sum(n19,n15) = n13
& sum(n19,n14) = n12
& sum(n19,n13) = n11
& sum(n19,n12) = n10
& sum(n19,n11) = n9
& sum(n19,n10) = n8
& sum(n19,n9) = n7
& sum(n19,n8) = n6
& sum(n19,n7) = n5
& sum(n19,n6) = n4
& sum(n19,n5) = n3
& sum(n19,n4) = n2
& sum(n19,n3) = n1
& sum(n19,n2) = n0
& sum(n19,n1) = n20
& sum(n19,n0) = n19
& sum(n18,n20) = n17
& sum(n18,n19) = n16
& sum(n18,n18) = n15
& sum(n18,n17) = n14
& sum(n18,n16) = n13
& sum(n18,n15) = n12
& sum(n18,n14) = n11
& sum(n18,n13) = n10
& sum(n18,n12) = n9
& sum(n18,n11) = n8
& sum(n18,n10) = n7
& sum(n18,n9) = n6
& sum(n18,n8) = n5
& sum(n18,n7) = n4
& sum(n18,n6) = n3
& sum(n18,n5) = n2
& sum(n18,n4) = n1
& sum(n18,n3) = n0
& sum(n18,n2) = n20
& sum(n18,n1) = n19
& sum(n18,n0) = n18
& sum(n17,n20) = n16
& sum(n17,n19) = n15
& sum(n17,n18) = n14
& sum(n17,n17) = n13
& sum(n17,n16) = n12
& sum(n17,n15) = n11
& sum(n17,n14) = n10
& sum(n17,n13) = n9
& sum(n17,n12) = n8
& sum(n17,n11) = n7
& sum(n17,n10) = n6
& sum(n17,n9) = n5
& sum(n17,n8) = n4
& sum(n17,n7) = n3
& sum(n17,n6) = n2
& sum(n17,n5) = n1
& sum(n17,n4) = n0
& sum(n17,n3) = n20
& sum(n17,n2) = n19
& sum(n17,n1) = n18
& sum(n17,n0) = n17
& sum(n16,n20) = n15
& sum(n16,n19) = n14
& sum(n16,n18) = n13
& sum(n16,n17) = n12
& sum(n16,n16) = n11
& sum(n16,n15) = n10
& sum(n16,n14) = n9
& sum(n16,n13) = n8
& sum(n16,n12) = n7
& sum(n16,n11) = n6
& sum(n16,n10) = n5
& sum(n16,n9) = n4
& sum(n16,n8) = n3
& sum(n16,n7) = n2
& sum(n16,n6) = n1
& sum(n16,n5) = n0
& sum(n16,n4) = n20
& sum(n16,n3) = n19
& sum(n16,n2) = n18
& sum(n16,n1) = n17
& sum(n16,n0) = n16
& sum(n15,n20) = n14
& sum(n15,n19) = n13
& sum(n15,n18) = n12
& sum(n15,n17) = n11
& sum(n15,n16) = n10
& sum(n15,n15) = n9
& sum(n15,n14) = n8
& sum(n15,n13) = n7
& sum(n15,n12) = n6
& sum(n15,n11) = n5
& sum(n15,n10) = n4
& sum(n15,n9) = n3
& sum(n15,n8) = n2
& sum(n15,n7) = n1
& sum(n15,n6) = n0
& sum(n15,n5) = n20
& sum(n15,n4) = n19
& sum(n15,n3) = n18
& sum(n15,n2) = n17
& sum(n15,n1) = n16
& sum(n15,n0) = n15
& sum(n14,n20) = n13
& sum(n14,n19) = n12
& sum(n14,n18) = n11
& sum(n14,n17) = n10
& sum(n14,n16) = n9
& sum(n14,n15) = n8
& sum(n14,n14) = n7
& sum(n14,n13) = n6
& sum(n14,n12) = n5
& sum(n14,n11) = n4
& sum(n14,n10) = n3
& sum(n14,n9) = n2
& sum(n14,n8) = n1
& sum(n14,n7) = n0
& sum(n14,n6) = n20
& sum(n14,n5) = n19
& sum(n14,n4) = n18
& sum(n14,n3) = n17
& sum(n14,n2) = n16
& sum(n14,n1) = n15
& sum(n14,n0) = n14
& sum(n13,n20) = n12
& sum(n13,n19) = n11
& sum(n13,n18) = n10
& sum(n13,n17) = n9
& sum(n13,n16) = n8
& sum(n13,n15) = n7
& sum(n13,n14) = n6
& sum(n13,n13) = n5
& sum(n13,n12) = n4
& sum(n13,n11) = n3
& sum(n13,n10) = n2
& sum(n13,n9) = n1
& sum(n13,n8) = n0
& sum(n13,n7) = n20
& sum(n13,n6) = n19
& sum(n13,n5) = n18
& sum(n13,n4) = n17
& sum(n13,n3) = n16
& sum(n13,n2) = n15
& sum(n13,n1) = n14
& sum(n13,n0) = n13
& sum(n12,n20) = n11
& sum(n12,n19) = n10
& sum(n12,n18) = n9
& sum(n12,n17) = n8
& sum(n12,n16) = n7
& sum(n12,n15) = n6
& sum(n12,n14) = n5
& sum(n12,n13) = n4
& sum(n12,n12) = n3
& sum(n12,n11) = n2
& sum(n12,n10) = n1
& sum(n12,n9) = n0
& sum(n12,n8) = n20
& sum(n12,n7) = n19
& sum(n12,n6) = n18
& sum(n12,n5) = n17
& sum(n12,n4) = n16
& sum(n12,n3) = n15
& sum(n12,n2) = n14
& sum(n12,n1) = n13
& sum(n12,n0) = n12
& sum(n11,n20) = n10
& sum(n11,n19) = n9
& sum(n11,n18) = n8
& sum(n11,n17) = n7
& sum(n11,n16) = n6
& sum(n11,n15) = n5
& sum(n11,n14) = n4
& sum(n11,n13) = n3
& sum(n11,n12) = n2
& sum(n11,n11) = n1
& sum(n11,n10) = n0
& sum(n11,n9) = n20
& sum(n11,n8) = n19
& sum(n11,n7) = n18
& sum(n11,n6) = n17
& sum(n11,n5) = n16
& sum(n11,n4) = n15
& sum(n11,n3) = n14
& sum(n11,n2) = n13
& sum(n11,n1) = n12
& sum(n11,n0) = n11
& sum(n10,n20) = n9
& sum(n10,n19) = n8
& sum(n10,n18) = n7
& sum(n10,n17) = n6
& sum(n10,n16) = n5
& sum(n10,n15) = n4
& sum(n10,n14) = n3
& sum(n10,n13) = n2
& sum(n10,n12) = n1
& sum(n10,n11) = n0
& sum(n10,n10) = n20
& sum(n10,n9) = n19
& sum(n10,n8) = n18
& sum(n10,n7) = n17
& sum(n10,n6) = n16
& sum(n10,n5) = n15
& sum(n10,n4) = n14
& sum(n10,n3) = n13
& sum(n10,n2) = n12
& sum(n10,n1) = n11
& sum(n10,n0) = n10
& sum(n9,n20) = n8
& sum(n9,n19) = n7
& sum(n9,n18) = n6
& sum(n9,n17) = n5
& sum(n9,n16) = n4
& sum(n9,n15) = n3
& sum(n9,n14) = n2
& sum(n9,n13) = n1
& sum(n9,n12) = n0
& sum(n9,n11) = n20
& sum(n9,n10) = n19
& sum(n9,n9) = n18
& sum(n9,n8) = n17
& sum(n9,n7) = n16
& sum(n9,n6) = n15
& sum(n9,n5) = n14
& sum(n9,n4) = n13
& sum(n9,n3) = n12
& sum(n9,n2) = n11
& sum(n9,n1) = n10
& sum(n9,n0) = n9
& sum(n8,n20) = n7
& sum(n8,n19) = n6
& sum(n8,n18) = n5
& sum(n8,n17) = n4
& sum(n8,n16) = n3
& sum(n8,n15) = n2
& sum(n8,n14) = n1
& sum(n8,n13) = n0
& sum(n8,n12) = n20
& sum(n8,n11) = n19
& sum(n8,n10) = n18
& sum(n8,n9) = n17
& sum(n8,n8) = n16
& sum(n8,n7) = n15
& sum(n8,n6) = n14
& sum(n8,n5) = n13
& sum(n8,n4) = n12
& sum(n8,n3) = n11
& sum(n8,n2) = n10
& sum(n8,n1) = n9
& sum(n8,n0) = n8
& sum(n7,n20) = n6
& sum(n7,n19) = n5
& sum(n7,n18) = n4
& sum(n7,n17) = n3
& sum(n7,n16) = n2
& sum(n7,n15) = n1
& sum(n7,n14) = n0
& sum(n7,n13) = n20
& sum(n7,n12) = n19
& sum(n7,n11) = n18
& sum(n7,n10) = n17
& sum(n7,n9) = n16
& sum(n7,n8) = n15
& sum(n7,n7) = n14
& sum(n7,n6) = n13
& sum(n7,n5) = n12
& sum(n7,n4) = n11
& sum(n7,n3) = n10
& sum(n7,n2) = n9
& sum(n7,n1) = n8
& sum(n7,n0) = n7
& sum(n6,n20) = n5
& sum(n6,n19) = n4
& sum(n6,n18) = n3
& sum(n6,n17) = n2
& sum(n6,n16) = n1
& sum(n6,n15) = n0
& sum(n6,n14) = n20
& sum(n6,n13) = n19
& sum(n6,n12) = n18
& sum(n6,n11) = n17
& sum(n6,n10) = n16
& sum(n6,n9) = n15
& sum(n6,n8) = n14
& sum(n6,n7) = n13
& sum(n6,n6) = n12
& sum(n6,n5) = n11
& sum(n6,n4) = n10
& sum(n6,n3) = n9
& sum(n6,n2) = n8
& sum(n6,n1) = n7
& sum(n6,n0) = n6
& sum(n5,n20) = n4
& sum(n5,n19) = n3
& sum(n5,n18) = n2
& sum(n5,n17) = n1
& sum(n5,n16) = n0
& sum(n5,n15) = n20
& sum(n5,n14) = n19
& sum(n5,n13) = n18
& sum(n5,n12) = n17
& sum(n5,n11) = n16
& sum(n5,n10) = n15
& sum(n5,n9) = n14
& sum(n5,n8) = n13
& sum(n5,n7) = n12
& sum(n5,n6) = n11
& sum(n5,n5) = n10
& sum(n5,n4) = n9
& sum(n5,n3) = n8
& sum(n5,n2) = n7
& sum(n5,n1) = n6
& sum(n5,n0) = n5
& sum(n4,n20) = n3
& sum(n4,n19) = n2
& sum(n4,n18) = n1
& sum(n4,n17) = n0
& sum(n4,n16) = n20
& sum(n4,n15) = n19
& sum(n4,n14) = n18
& sum(n4,n13) = n17
& sum(n4,n12) = n16
& sum(n4,n11) = n15
& sum(n4,n10) = n14
& sum(n4,n9) = n13
& sum(n4,n8) = n12
& sum(n4,n7) = n11
& sum(n4,n6) = n10
& sum(n4,n5) = n9
& sum(n4,n4) = n8
& sum(n4,n3) = n7
& sum(n4,n2) = n6
& sum(n4,n1) = n5
& sum(n4,n0) = n4
& sum(n3,n20) = n2
& sum(n3,n19) = n1
& sum(n3,n18) = n0
& sum(n3,n17) = n20
& sum(n3,n16) = n19
& sum(n3,n15) = n18
& sum(n3,n14) = n17
& sum(n3,n13) = n16
& sum(n3,n12) = n15
& sum(n3,n11) = n14
& sum(n3,n10) = n13
& sum(n3,n9) = n12
& sum(n3,n8) = n11
& sum(n3,n7) = n10
& sum(n3,n6) = n9
& sum(n3,n5) = n8
& sum(n3,n4) = n7
& sum(n3,n3) = n6
& sum(n3,n2) = n5
& sum(n3,n1) = n4
& sum(n3,n0) = n3
& sum(n2,n20) = n1
& sum(n2,n19) = n0
& sum(n2,n18) = n20
& sum(n2,n17) = n19
& sum(n2,n16) = n18
& sum(n2,n15) = n17
& sum(n2,n14) = n16
& sum(n2,n13) = n15
& sum(n2,n12) = n14
& sum(n2,n11) = n13
& sum(n2,n10) = n12
& sum(n2,n9) = n11
& sum(n2,n8) = n10
& sum(n2,n7) = n9
& sum(n2,n6) = n8
& sum(n2,n5) = n7
& sum(n2,n4) = n6
& sum(n2,n3) = n5
& sum(n2,n2) = n4
& sum(n2,n1) = n3
& sum(n2,n0) = n2
& sum(n1,n20) = n0
& sum(n1,n19) = n20
& sum(n1,n18) = n19
& sum(n1,n17) = n18
& sum(n1,n16) = n17
& sum(n1,n15) = n16
& sum(n1,n14) = n15
& sum(n1,n13) = n14
& sum(n1,n12) = n13
& sum(n1,n11) = n12
& sum(n1,n10) = n11
& sum(n1,n9) = n10
& sum(n1,n8) = n9
& sum(n1,n7) = n8
& sum(n1,n6) = n7
& sum(n1,n5) = n6
& sum(n1,n4) = n5
& sum(n1,n3) = n4
& sum(n1,n2) = n3
& sum(n1,n1) = n2
& sum(n1,n0) = n1
& sum(n0,n20) = n20
& sum(n0,n19) = n19
& sum(n0,n18) = n18
& sum(n0,n17) = n17
& sum(n0,n16) = n16
& sum(n0,n15) = n15
& sum(n0,n14) = n14
& sum(n0,n13) = n13
& sum(n0,n12) = n12
& sum(n0,n11) = n11
& sum(n0,n10) = n10
& sum(n0,n9) = n9
& sum(n0,n8) = n8
& sum(n0,n7) = n7
& sum(n0,n6) = n6
& sum(n0,n5) = n5
& sum(n0,n4) = n4
& sum(n0,n3) = n3
& sum(n0,n2) = n2
& sum(n0,n1) = n1
& sum(n0,n0) = n0
& pred(n20) = n19
& pred(n19) = n18
& pred(n18) = n17
& pred(n17) = n16
& pred(n16) = n15
& pred(n15) = n14
& pred(n14) = n13
& pred(n13) = n12
& pred(n12) = n11
& pred(n11) = n10
& pred(n10) = n9
& pred(n9) = n8
& pred(n8) = n7
& pred(n7) = n6
& pred(n6) = n5
& pred(n5) = n4
& pred(n4) = n3
& pred(n3) = n2
& pred(n2) = n1
& pred(n1) = n0
& pred(n0) = n20
& succ(n20) = n0
& succ(n19) = n20
& succ(n18) = n19
& succ(n17) = n18
& succ(n16) = n17
& succ(n15) = n16
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
inference(skolemize,[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]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11),skolemize(X12,sK12),skolemize(X13,sK13),skolemize(X14,sK14),skolemize(X15,sK15),skolemize(X16,sK16),skolemize(X17,sK17),skolemize(X18,sK18),skolemize(X19,sK19),skolemize(X20,sK20),skolemize(X21,sK21),skolemize(X22,sK22),skolemize(X23,sK23),skolemize(X24,sK24),skolemize(X25,sK25),skolemize(X26,sK26),skolemize(X27,sK27),skolemize(X28,sK28),skolemize(X29,sK29),skolemize(X30,sK30),skolemize(X31,sK31),skolemize(X32,sK32),skolemize(X33,sK33),skolemize(X34,sK34),skolemize(X35,sK35),skolemize(X36,sK36),skolemize(X37,sK37),skolemize(X38,sK38),skolemize(X39,sK39),skolemize(X40,sK40),skolemize(X41,sK41),skolemize(X42,sK42),skolemize(X43,sK43),skolemize(X44,sK44),skolemize(X45,sK45),skolemize(X46,sK46),skolemize(X47,sK47),skolemize(X48,sK48),skolemize(X49,sK49),skolemize(X50,sK50),skolemize(X51,sK51),skolemize(X52,sK52),skolemize(X53,sK53),skolemize(X54,sK54),skolemize(X55,sK55),skolemize(X56,sK56),skolemize(X57,sK57),skolemize(X58,sK58),skolemize(X59,sK59),skolemize(X60,sK60),skolemize(X61,sK61),skolemize(X62,sK62),skolemize(X63,sK63),skolemize(X64,sK64),skolemize(X65,sK65),skolemize(X66,sK66),skolemize(X67,sK67),skolemize(X68,sK68),skolemize(X69,sK69),skolemize(X70,sK70),skolemize(X71,sK71),skolemize(X72,sK72),skolemize(X73,sK73),skolemize(X74,sK74),skolemize(X75,sK75),skolemize(X76,sK76),skolemize(X77,sK77),skolemize(X78,sK78),skolemize(X79,sK79),skolemize(X80,sK80),skolemize(X81,sK81),skolemize(X82,sK82),skolemize(X83,sK83),skolemize(X84,sK84),skolemize(X85,sK85),skolemize(X86,sK86),skolemize(X87,sK87),skolemize(X88,sK88),skolemize(X89,sK89),skolemize(X90,sK90),skolemize(X91,sK91)],[f1]) ).
fof(f4,plain,
n18 != n20,
inference(cnf_transformation,[],[f2]) ).
fof(f5,plain,
n18 != n19,
inference(cnf_transformation,[],[f2]) ).
fof(f6,plain,
n17 != n20,
inference(cnf_transformation,[],[f2]) ).
fof(f7,plain,
n17 != n19,
inference(cnf_transformation,[],[f2]) ).
fof(f8,plain,
n17 != n18,
inference(cnf_transformation,[],[f2]) ).
fof(f10,plain,
n16 != n19,
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
n16 != n17,
inference(cnf_transformation,[],[f2]) ).
fof(f13,plain,
n15 != n20,
inference(cnf_transformation,[],[f2]) ).
fof(f14,plain,
n15 != n19,
inference(cnf_transformation,[],[f2]) ).
fof(f16,plain,
n15 != n17,
inference(cnf_transformation,[],[f2]) ).
fof(f18,plain,
n14 != n20,
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
n14 != n18,
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
n14 != n17,
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
n13 != n20,
inference(cnf_transformation,[],[f2]) ).
fof(f25,plain,
n13 != n19,
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
n13 != n17,
inference(cnf_transformation,[],[f2]) ).
fof(f30,plain,
n13 != n14,
inference(cnf_transformation,[],[f2]) ).
fof(f32,plain,
n12 != n19,
inference(cnf_transformation,[],[f2]) ).
fof(f33,plain,
n12 != n18,
inference(cnf_transformation,[],[f2]) ).
fof(f36,plain,
n12 != n15,
inference(cnf_transformation,[],[f2]) ).
fof(f39,plain,
n11 != n20,
inference(cnf_transformation,[],[f2]) ).
fof(f40,plain,
n11 != n19,
inference(cnf_transformation,[],[f2]) ).
fof(f41,plain,
n11 != n18,
inference(cnf_transformation,[],[f2]) ).
fof(f42,plain,
n11 != n17,
inference(cnf_transformation,[],[f2]) ).
fof(f43,plain,
n11 != n16,
inference(cnf_transformation,[],[f2]) ).
fof(f45,plain,
n11 != n14,
inference(cnf_transformation,[],[f2]) ).
fof(f46,plain,
n11 != n13,
inference(cnf_transformation,[],[f2]) ).
fof(f47,plain,
n11 != n12,
inference(cnf_transformation,[],[f2]) ).
fof(f48,plain,
n10 != n20,
inference(cnf_transformation,[],[f2]) ).
fof(f54,plain,
n10 != n14,
inference(cnf_transformation,[],[f2]) ).
fof(f58,plain,
n9 != n20,
inference(cnf_transformation,[],[f2]) ).
fof(f60,plain,
n9 != n18,
inference(cnf_transformation,[],[f2]) ).
fof(f61,plain,
n9 != n17,
inference(cnf_transformation,[],[f2]) ).
fof(f62,plain,
n9 != n16,
inference(cnf_transformation,[],[f2]) ).
fof(f63,plain,
n9 != n15,
inference(cnf_transformation,[],[f2]) ).
fof(f64,plain,
n9 != n14,
inference(cnf_transformation,[],[f2]) ).
fof(f67,plain,
n9 != n11,
inference(cnf_transformation,[],[f2]) ).
fof(f68,plain,
n9 != n10,
inference(cnf_transformation,[],[f2]) ).
fof(f69,plain,
n8 != n20,
inference(cnf_transformation,[],[f2]) ).
fof(f70,plain,
n8 != n19,
inference(cnf_transformation,[],[f2]) ).
fof(f72,plain,
n8 != n17,
inference(cnf_transformation,[],[f2]) ).
fof(f76,plain,
n8 != n13,
inference(cnf_transformation,[],[f2]) ).
fof(f78,plain,
n8 != n11,
inference(cnf_transformation,[],[f2]) ).
fof(f80,plain,
n8 != n9,
inference(cnf_transformation,[],[f2]) ).
fof(f81,plain,
n7 != n20,
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
n7 != n19,
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
n7 != n18,
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
n7 != n17,
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
n7 != n16,
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
n7 != n15,
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
n7 != n14,
inference(cnf_transformation,[],[f2]) ).
fof(f88,plain,
n7 != n13,
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
n7 != n12,
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
n7 != n11,
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
n7 != n9,
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
n6 != n20,
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
n6 != n19,
inference(cnf_transformation,[],[f2]) ).
fof(f99,plain,
n6 != n15,
inference(cnf_transformation,[],[f2]) ).
fof(f100,plain,
n6 != n14,
inference(cnf_transformation,[],[f2]) ).
fof(f101,plain,
n6 != n13,
inference(cnf_transformation,[],[f2]) ).
fof(f103,plain,
n6 != n11,
inference(cnf_transformation,[],[f2]) ).
fof(f106,plain,
n6 != n8,
inference(cnf_transformation,[],[f2]) ).
fof(f107,plain,
n6 != n7,
inference(cnf_transformation,[],[f2]) ).
fof(f108,plain,
n5 != n20,
inference(cnf_transformation,[],[f2]) ).
fof(f110,plain,
n5 != n18,
inference(cnf_transformation,[],[f2]) ).
fof(f111,plain,
n5 != n17,
inference(cnf_transformation,[],[f2]) ).
fof(f113,plain,
n5 != n15,
inference(cnf_transformation,[],[f2]) ).
fof(f115,plain,
n5 != n13,
inference(cnf_transformation,[],[f2]) ).
fof(f117,plain,
n5 != n11,
inference(cnf_transformation,[],[f2]) ).
fof(f118,plain,
n5 != n10,
inference(cnf_transformation,[],[f2]) ).
fof(f121,plain,
n5 != n7,
inference(cnf_transformation,[],[f2]) ).
fof(f125,plain,
n4 != n18,
inference(cnf_transformation,[],[f2]) ).
fof(f127,plain,
n4 != n16,
inference(cnf_transformation,[],[f2]) ).
fof(f128,plain,
n4 != n15,
inference(cnf_transformation,[],[f2]) ).
fof(f131,plain,
n4 != n12,
inference(cnf_transformation,[],[f2]) ).
fof(f132,plain,
n4 != n11,
inference(cnf_transformation,[],[f2]) ).
fof(f133,plain,
n4 != n10,
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
n4 != n9,
inference(cnf_transformation,[],[f2]) ).
fof(f136,plain,
n4 != n7,
inference(cnf_transformation,[],[f2]) ).
fof(f137,plain,
n4 != n6,
inference(cnf_transformation,[],[f2]) ).
fof(f142,plain,
n3 != n17,
inference(cnf_transformation,[],[f2]) ).
fof(f143,plain,
n3 != n16,
inference(cnf_transformation,[],[f2]) ).
fof(f144,plain,
n3 != n15,
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
n3 != n12,
inference(cnf_transformation,[],[f2]) ).
fof(f150,plain,
n3 != n9,
inference(cnf_transformation,[],[f2]) ).
fof(f152,plain,
n3 != n7,
inference(cnf_transformation,[],[f2]) ).
fof(f155,plain,
n3 != n4,
inference(cnf_transformation,[],[f2]) ).
fof(f156,plain,
n2 != n20,
inference(cnf_transformation,[],[f2]) ).
fof(f159,plain,
n2 != n17,
inference(cnf_transformation,[],[f2]) ).
fof(f161,plain,
n2 != n15,
inference(cnf_transformation,[],[f2]) ).
fof(f162,plain,
n2 != n14,
inference(cnf_transformation,[],[f2]) ).
fof(f163,plain,
n2 != n13,
inference(cnf_transformation,[],[f2]) ).
fof(f164,plain,
n2 != n12,
inference(cnf_transformation,[],[f2]) ).
fof(f165,plain,
n2 != n11,
inference(cnf_transformation,[],[f2]) ).
fof(f166,plain,
n2 != n10,
inference(cnf_transformation,[],[f2]) ).
fof(f167,plain,
n2 != n9,
inference(cnf_transformation,[],[f2]) ).
fof(f169,plain,
n2 != n7,
inference(cnf_transformation,[],[f2]) ).
fof(f170,plain,
n2 != n6,
inference(cnf_transformation,[],[f2]) ).
fof(f171,plain,
n2 != n5,
inference(cnf_transformation,[],[f2]) ).
fof(f174,plain,
n1 != n20,
inference(cnf_transformation,[],[f2]) ).
fof(f175,plain,
n1 != n19,
inference(cnf_transformation,[],[f2]) ).
fof(f176,plain,
n1 != n18,
inference(cnf_transformation,[],[f2]) ).
fof(f177,plain,
n1 != n17,
inference(cnf_transformation,[],[f2]) ).
fof(f181,plain,
n1 != n13,
inference(cnf_transformation,[],[f2]) ).
fof(f182,plain,
n1 != n12,
inference(cnf_transformation,[],[f2]) ).
fof(f183,plain,
n1 != n11,
inference(cnf_transformation,[],[f2]) ).
fof(f184,plain,
n1 != n10,
inference(cnf_transformation,[],[f2]) ).
fof(f185,plain,
n1 != n9,
inference(cnf_transformation,[],[f2]) ).
fof(f187,plain,
n1 != n7,
inference(cnf_transformation,[],[f2]) ).
fof(f188,plain,
n1 != n6,
inference(cnf_transformation,[],[f2]) ).
fof(f189,plain,
n1 != n5,
inference(cnf_transformation,[],[f2]) ).
fof(f192,plain,
n1 != n2,
inference(cnf_transformation,[],[f2]) ).
fof(f193,plain,
n0 != n20,
inference(cnf_transformation,[],[f2]) ).
fof(f206,plain,
n0 != n7,
inference(cnf_transformation,[],[f2]) ).
fof(f213,plain,
( sK30 != sK31
| sK28 != sK29
| sK26 != sK27
| sK24 != sK25 ),
inference(cnf_transformation,[],[f2]) ).
fof(f214,plain,
sK31 = sum(pred(sK90),sum(succ(sK88),sum(pred(sK91),succ(sK89)))),
inference(cnf_transformation,[],[f2]) ).
fof(f215,plain,
sK30 = sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28))),
inference(cnf_transformation,[],[f2]) ).
fof(f216,plain,
sK29 = sum(pred(sK86),sum(succ(sK84),sum(pred(sK87),succ(sK85)))),
inference(cnf_transformation,[],[f2]) ).
fof(f217,plain,
sK28 = sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26))),
inference(cnf_transformation,[],[f2]) ).
fof(f218,plain,
sK27 = sum(pred(sK82),sum(succ(sK80),sum(pred(sK83),succ(sK81)))),
inference(cnf_transformation,[],[f2]) ).
fof(f219,plain,
sK26 = sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24))),
inference(cnf_transformation,[],[f2]) ).
fof(f220,plain,
sK25 = sum(pred(sK78),sum(succ(sK76),sum(pred(sK79),succ(sK77)))),
inference(cnf_transformation,[],[f2]) ).
fof(f221,plain,
sK24 = sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22))),
inference(cnf_transformation,[],[f2]) ).
fof(f222,plain,
sK23 = sum(pred(sK74),sum(succ(sK72),sum(pred(sK75),succ(sK73)))),
inference(cnf_transformation,[],[f2]) ).
fof(f223,plain,
sK22 = sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20))),
inference(cnf_transformation,[],[f2]) ).
fof(f224,plain,
sK21 = sum(pred(sK70),sum(succ(sK68),sum(pred(sK71),succ(sK69)))),
inference(cnf_transformation,[],[f2]) ).
fof(f225,plain,
sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))),
inference(cnf_transformation,[],[f2]) ).
fof(f226,plain,
sK19 = sum(pred(sK66),sum(succ(sK64),sum(pred(sK67),succ(sK65)))),
inference(cnf_transformation,[],[f2]) ).
fof(f227,plain,
sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))),
inference(cnf_transformation,[],[f2]) ).
fof(f228,plain,
sK17 = sum(pred(sK62),sum(succ(sK60),sum(pred(sK63),succ(sK61)))),
inference(cnf_transformation,[],[f2]) ).
fof(f229,plain,
sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))),
inference(cnf_transformation,[],[f2]) ).
fof(f230,plain,
sK15 = sum(pred(sK58),sum(succ(sK56),sum(pred(sK59),succ(sK57)))),
inference(cnf_transformation,[],[f2]) ).
fof(f231,plain,
sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))),
inference(cnf_transformation,[],[f2]) ).
fof(f232,plain,
sK13 = sum(pred(sK54),sum(succ(sK52),sum(pred(sK55),succ(sK53)))),
inference(cnf_transformation,[],[f2]) ).
fof(f233,plain,
sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))),
inference(cnf_transformation,[],[f2]) ).
fof(f234,plain,
sK11 = sum(pred(sK50),sum(succ(sK48),sum(pred(sK51),succ(sK49)))),
inference(cnf_transformation,[],[f2]) ).
fof(f235,plain,
sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))),
inference(cnf_transformation,[],[f2]) ).
fof(f236,plain,
sK9 = sum(pred(sK46),sum(succ(sK44),sum(pred(sK47),succ(sK45)))),
inference(cnf_transformation,[],[f2]) ).
fof(f237,plain,
sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))),
inference(cnf_transformation,[],[f2]) ).
fof(f238,plain,
sK7 = sum(pred(sK42),sum(succ(sK40),sum(pred(sK43),succ(sK41)))),
inference(cnf_transformation,[],[f2]) ).
fof(f239,plain,
sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))),
inference(cnf_transformation,[],[f2]) ).
fof(f240,plain,
sK5 = sum(pred(sK38),sum(succ(sK36),sum(pred(sK39),succ(sK37)))),
inference(cnf_transformation,[],[f2]) ).
fof(f241,plain,
sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))),
inference(cnf_transformation,[],[f2]) ).
fof(f242,plain,
sK3 = sum(pred(sK34),sum(succ(sK32),sum(pred(sK35),succ(sK33)))),
inference(cnf_transformation,[],[f2]) ).
fof(f243,plain,
sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))),
inference(cnf_transformation,[],[f2]) ).
fof(f244,plain,
sK91 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK29))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f245,plain,
sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK29))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f246,plain,
sK90 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f247,plain,
sK88 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f248,plain,
sK87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f249,plain,
sK85 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f250,plain,
sK86 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f251,plain,
sK84 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f252,plain,
sK83 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f253,plain,
sK81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f254,plain,
sK82 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f255,plain,
sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f256,plain,
sK79 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f257,plain,
sK77 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f258,plain,
sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f259,plain,
sK76 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f260,plain,
sK75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f261,plain,
sK73 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f262,plain,
sK74 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f263,plain,
sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f264,plain,
sK71 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f265,plain,
sK69 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f266,plain,
sK70 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f267,plain,
sK68 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f268,plain,
sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f269,plain,
sK65 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f270,plain,
sK66 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f271,plain,
sK64 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f272,plain,
sK63 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f273,plain,
sK61 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f274,plain,
sK62 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f275,plain,
sK60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f276,plain,
sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f277,plain,
sK57 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f278,plain,
sK58 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f279,plain,
sK56 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f280,plain,
sK55 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f281,plain,
sK53 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f282,plain,
sK54 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f283,plain,
sK52 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f284,plain,
sK51 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f285,plain,
sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f286,plain,
sK50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f287,plain,
sK48 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f288,plain,
sK47 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f289,plain,
sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f290,plain,
sK46 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f291,plain,
sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f292,plain,
sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f293,plain,
sK41 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f294,plain,
sK42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f295,plain,
sK40 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f296,plain,
sK39 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f297,plain,
sK37 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f298,plain,
sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f299,plain,
sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f300,plain,
sK35 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f301,plain,
sK33 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f302,plain,
sK34 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f303,plain,
sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0))))))))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f304,plain,
( n20 = sK1
| n19 = sK1
| n18 = sK1
| n17 = sK1
| n16 = sK1
| n15 = sK1
| n14 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f305,plain,
( n20 = sK0
| n19 = sK0
| n18 = sK0
| n17 = sK0
| n16 = sK0
| n15 = sK0
| n14 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f2]) ).
fof(f306,plain,
n19 = sum(n20,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f307,plain,
n18 = sum(n20,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f308,plain,
n17 = sum(n20,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f309,plain,
n16 = sum(n20,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f310,plain,
n15 = sum(n20,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f311,plain,
n14 = sum(n20,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f312,plain,
n13 = sum(n20,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f313,plain,
n12 = sum(n20,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f314,plain,
n11 = sum(n20,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f315,plain,
n10 = sum(n20,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f316,plain,
n9 = sum(n20,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f317,plain,
n8 = sum(n20,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f318,plain,
n7 = sum(n20,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f319,plain,
n6 = sum(n20,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f320,plain,
n5 = sum(n20,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f321,plain,
n4 = sum(n20,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f322,plain,
n3 = sum(n20,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f323,plain,
n2 = sum(n20,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f324,plain,
n1 = sum(n20,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f325,plain,
n0 = sum(n20,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f326,plain,
n20 = sum(n20,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f327,plain,
n18 = sum(n19,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f328,plain,
n17 = sum(n19,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f329,plain,
n16 = sum(n19,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f330,plain,
n15 = sum(n19,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f331,plain,
n14 = sum(n19,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f332,plain,
n13 = sum(n19,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f333,plain,
n12 = sum(n19,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f334,plain,
n11 = sum(n19,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f335,plain,
n10 = sum(n19,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f336,plain,
n9 = sum(n19,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f337,plain,
n8 = sum(n19,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f338,plain,
n7 = sum(n19,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f339,plain,
n6 = sum(n19,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f340,plain,
n5 = sum(n19,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f341,plain,
n4 = sum(n19,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f342,plain,
n3 = sum(n19,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f343,plain,
n2 = sum(n19,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f344,plain,
n1 = sum(n19,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f345,plain,
n0 = sum(n19,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f346,plain,
n20 = sum(n19,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f347,plain,
n19 = sum(n19,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f348,plain,
n17 = sum(n18,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f349,plain,
n16 = sum(n18,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f350,plain,
n15 = sum(n18,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f351,plain,
n14 = sum(n18,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f352,plain,
n13 = sum(n18,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f353,plain,
n12 = sum(n18,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f354,plain,
n11 = sum(n18,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f355,plain,
n10 = sum(n18,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f356,plain,
n9 = sum(n18,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f357,plain,
n8 = sum(n18,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f358,plain,
n7 = sum(n18,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f359,plain,
n6 = sum(n18,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f360,plain,
n5 = sum(n18,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f361,plain,
n4 = sum(n18,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f362,plain,
n3 = sum(n18,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f363,plain,
n2 = sum(n18,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f364,plain,
n1 = sum(n18,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f365,plain,
n0 = sum(n18,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f366,plain,
n20 = sum(n18,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f367,plain,
n19 = sum(n18,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f368,plain,
n18 = sum(n18,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f369,plain,
n16 = sum(n17,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f370,plain,
n15 = sum(n17,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f371,plain,
n14 = sum(n17,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f372,plain,
n13 = sum(n17,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f373,plain,
n12 = sum(n17,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f374,plain,
n11 = sum(n17,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f375,plain,
n10 = sum(n17,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f376,plain,
n9 = sum(n17,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f377,plain,
n8 = sum(n17,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f378,plain,
n7 = sum(n17,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f379,plain,
n6 = sum(n17,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f380,plain,
n5 = sum(n17,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f381,plain,
n4 = sum(n17,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f382,plain,
n3 = sum(n17,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f383,plain,
n2 = sum(n17,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f384,plain,
n1 = sum(n17,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f385,plain,
n0 = sum(n17,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f386,plain,
n20 = sum(n17,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f387,plain,
n19 = sum(n17,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f388,plain,
n18 = sum(n17,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f389,plain,
n17 = sum(n17,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f390,plain,
n15 = sum(n16,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f391,plain,
n14 = sum(n16,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f392,plain,
n13 = sum(n16,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f393,plain,
n12 = sum(n16,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f394,plain,
n11 = sum(n16,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f395,plain,
n10 = sum(n16,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f396,plain,
n9 = sum(n16,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f397,plain,
n8 = sum(n16,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f398,plain,
n7 = sum(n16,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f399,plain,
n6 = sum(n16,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f400,plain,
n5 = sum(n16,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f401,plain,
n4 = sum(n16,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f402,plain,
n3 = sum(n16,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f403,plain,
n2 = sum(n16,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f404,plain,
n1 = sum(n16,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f405,plain,
n0 = sum(n16,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f406,plain,
n20 = sum(n16,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f407,plain,
n19 = sum(n16,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f408,plain,
n18 = sum(n16,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f409,plain,
n17 = sum(n16,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f410,plain,
n16 = sum(n16,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f411,plain,
n14 = sum(n15,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f412,plain,
n13 = sum(n15,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f413,plain,
n12 = sum(n15,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f414,plain,
n11 = sum(n15,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f415,plain,
n10 = sum(n15,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f416,plain,
n9 = sum(n15,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f417,plain,
n8 = sum(n15,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f418,plain,
n7 = sum(n15,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f419,plain,
n6 = sum(n15,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f420,plain,
n5 = sum(n15,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f421,plain,
n4 = sum(n15,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f422,plain,
n3 = sum(n15,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f423,plain,
n2 = sum(n15,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f424,plain,
n1 = sum(n15,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f425,plain,
n0 = sum(n15,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f426,plain,
n20 = sum(n15,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f427,plain,
n19 = sum(n15,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f428,plain,
n18 = sum(n15,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f429,plain,
n17 = sum(n15,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f430,plain,
n16 = sum(n15,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f431,plain,
n15 = sum(n15,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f432,plain,
n13 = sum(n14,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f433,plain,
n12 = sum(n14,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f434,plain,
n11 = sum(n14,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f435,plain,
n10 = sum(n14,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f436,plain,
n9 = sum(n14,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f437,plain,
n8 = sum(n14,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f438,plain,
n7 = sum(n14,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f439,plain,
n6 = sum(n14,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f440,plain,
n5 = sum(n14,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f441,plain,
n4 = sum(n14,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f442,plain,
n3 = sum(n14,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f443,plain,
n2 = sum(n14,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f444,plain,
n1 = sum(n14,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f445,plain,
n0 = sum(n14,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f446,plain,
n20 = sum(n14,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f447,plain,
n19 = sum(n14,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f448,plain,
n18 = sum(n14,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f449,plain,
n17 = sum(n14,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f450,plain,
n16 = sum(n14,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f451,plain,
n15 = sum(n14,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f452,plain,
n14 = sum(n14,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f453,plain,
n12 = sum(n13,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f454,plain,
n11 = sum(n13,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f455,plain,
n10 = sum(n13,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f456,plain,
n9 = sum(n13,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f457,plain,
n8 = sum(n13,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f458,plain,
n7 = sum(n13,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f459,plain,
n6 = sum(n13,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f460,plain,
n5 = sum(n13,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f461,plain,
n4 = sum(n13,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f462,plain,
n3 = sum(n13,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f463,plain,
n2 = sum(n13,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f464,plain,
n1 = sum(n13,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f465,plain,
n0 = sum(n13,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f466,plain,
n20 = sum(n13,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f467,plain,
n19 = sum(n13,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f468,plain,
n18 = sum(n13,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f469,plain,
n17 = sum(n13,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f470,plain,
n16 = sum(n13,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f471,plain,
n15 = sum(n13,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f472,plain,
n14 = sum(n13,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f473,plain,
n13 = sum(n13,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f474,plain,
n11 = sum(n12,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f475,plain,
n10 = sum(n12,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f476,plain,
n9 = sum(n12,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f477,plain,
n8 = sum(n12,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f478,plain,
n7 = sum(n12,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f479,plain,
n6 = sum(n12,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f480,plain,
n5 = sum(n12,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f481,plain,
n4 = sum(n12,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f482,plain,
n3 = sum(n12,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f483,plain,
n2 = sum(n12,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f484,plain,
n1 = sum(n12,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f485,plain,
n0 = sum(n12,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f486,plain,
n20 = sum(n12,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f487,plain,
n19 = sum(n12,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f488,plain,
n18 = sum(n12,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f489,plain,
n17 = sum(n12,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f490,plain,
n16 = sum(n12,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f491,plain,
n15 = sum(n12,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f492,plain,
n14 = sum(n12,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f493,plain,
n13 = sum(n12,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f494,plain,
n12 = sum(n12,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f495,plain,
n10 = sum(n11,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f496,plain,
n9 = sum(n11,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f497,plain,
n8 = sum(n11,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f498,plain,
n7 = sum(n11,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f499,plain,
n6 = sum(n11,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f500,plain,
n5 = sum(n11,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f501,plain,
n4 = sum(n11,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f502,plain,
n3 = sum(n11,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f503,plain,
n2 = sum(n11,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f504,plain,
n1 = sum(n11,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f505,plain,
n0 = sum(n11,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f506,plain,
n20 = sum(n11,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f507,plain,
n19 = sum(n11,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f508,plain,
n18 = sum(n11,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f509,plain,
n17 = sum(n11,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f510,plain,
n16 = sum(n11,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f511,plain,
n15 = sum(n11,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f512,plain,
n14 = sum(n11,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f513,plain,
n13 = sum(n11,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f514,plain,
n12 = sum(n11,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f515,plain,
n11 = sum(n11,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f516,plain,
n9 = sum(n10,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f517,plain,
n8 = sum(n10,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f518,plain,
n7 = sum(n10,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f519,plain,
n6 = sum(n10,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f520,plain,
n5 = sum(n10,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f521,plain,
n4 = sum(n10,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f522,plain,
n3 = sum(n10,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f523,plain,
n2 = sum(n10,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f524,plain,
n1 = sum(n10,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f525,plain,
n0 = sum(n10,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f526,plain,
n20 = sum(n10,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f527,plain,
n19 = sum(n10,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f528,plain,
n18 = sum(n10,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f529,plain,
n17 = sum(n10,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f530,plain,
n16 = sum(n10,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f531,plain,
n15 = sum(n10,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f532,plain,
n14 = sum(n10,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f533,plain,
n13 = sum(n10,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f534,plain,
n12 = sum(n10,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f535,plain,
n11 = sum(n10,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f536,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f537,plain,
n8 = sum(n9,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f538,plain,
n7 = sum(n9,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f539,plain,
n6 = sum(n9,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f540,plain,
n5 = sum(n9,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f541,plain,
n4 = sum(n9,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f542,plain,
n3 = sum(n9,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f543,plain,
n2 = sum(n9,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f544,plain,
n1 = sum(n9,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f545,plain,
n0 = sum(n9,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f546,plain,
n20 = sum(n9,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f547,plain,
n19 = sum(n9,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f548,plain,
n18 = sum(n9,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f549,plain,
n17 = sum(n9,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f550,plain,
n16 = sum(n9,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f551,plain,
n15 = sum(n9,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f552,plain,
n14 = sum(n9,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f553,plain,
n13 = sum(n9,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f554,plain,
n12 = sum(n9,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f555,plain,
n11 = sum(n9,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f556,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f557,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f558,plain,
n7 = sum(n8,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f559,plain,
n6 = sum(n8,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f560,plain,
n5 = sum(n8,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f561,plain,
n4 = sum(n8,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f562,plain,
n3 = sum(n8,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f563,plain,
n2 = sum(n8,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f564,plain,
n1 = sum(n8,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f565,plain,
n0 = sum(n8,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f566,plain,
n20 = sum(n8,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f567,plain,
n19 = sum(n8,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f568,plain,
n18 = sum(n8,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f569,plain,
n17 = sum(n8,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f570,plain,
n16 = sum(n8,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f571,plain,
n15 = sum(n8,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f572,plain,
n14 = sum(n8,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f573,plain,
n13 = sum(n8,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f574,plain,
n12 = sum(n8,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f575,plain,
n11 = sum(n8,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f576,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f577,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f578,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f579,plain,
n6 = sum(n7,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f580,plain,
n5 = sum(n7,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f581,plain,
n4 = sum(n7,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f582,plain,
n3 = sum(n7,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f583,plain,
n2 = sum(n7,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f584,plain,
n1 = sum(n7,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f585,plain,
n0 = sum(n7,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f586,plain,
n20 = sum(n7,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f587,plain,
n19 = sum(n7,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f588,plain,
n18 = sum(n7,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f589,plain,
n17 = sum(n7,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f590,plain,
n16 = sum(n7,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f591,plain,
n15 = sum(n7,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f592,plain,
n14 = sum(n7,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f593,plain,
n13 = sum(n7,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f594,plain,
n12 = sum(n7,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f595,plain,
n11 = sum(n7,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f596,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f597,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f598,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f599,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f600,plain,
n5 = sum(n6,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f601,plain,
n4 = sum(n6,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f602,plain,
n3 = sum(n6,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f603,plain,
n2 = sum(n6,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f604,plain,
n1 = sum(n6,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f605,plain,
n0 = sum(n6,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f606,plain,
n20 = sum(n6,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f607,plain,
n19 = sum(n6,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f608,plain,
n18 = sum(n6,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f609,plain,
n17 = sum(n6,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f610,plain,
n16 = sum(n6,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f611,plain,
n15 = sum(n6,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f612,plain,
n14 = sum(n6,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f613,plain,
n13 = sum(n6,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f614,plain,
n12 = sum(n6,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f615,plain,
n11 = sum(n6,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f616,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f617,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f618,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f619,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f620,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f621,plain,
n4 = sum(n5,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f622,plain,
n3 = sum(n5,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f623,plain,
n2 = sum(n5,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f624,plain,
n1 = sum(n5,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f625,plain,
n0 = sum(n5,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f626,plain,
n20 = sum(n5,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f627,plain,
n19 = sum(n5,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f628,plain,
n18 = sum(n5,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f629,plain,
n17 = sum(n5,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f630,plain,
n16 = sum(n5,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f631,plain,
n15 = sum(n5,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f632,plain,
n14 = sum(n5,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f633,plain,
n13 = sum(n5,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f634,plain,
n12 = sum(n5,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f635,plain,
n11 = sum(n5,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f636,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f637,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f638,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f639,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f640,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f641,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f642,plain,
n3 = sum(n4,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f643,plain,
n2 = sum(n4,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f644,plain,
n1 = sum(n4,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f645,plain,
n0 = sum(n4,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f646,plain,
n20 = sum(n4,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f647,plain,
n19 = sum(n4,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f648,plain,
n18 = sum(n4,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f649,plain,
n17 = sum(n4,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f650,plain,
n16 = sum(n4,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f651,plain,
n15 = sum(n4,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f652,plain,
n14 = sum(n4,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f653,plain,
n13 = sum(n4,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f654,plain,
n12 = sum(n4,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f655,plain,
n11 = sum(n4,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f656,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f657,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f658,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f659,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f660,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f661,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f662,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f663,plain,
n2 = sum(n3,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f664,plain,
n1 = sum(n3,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f665,plain,
n0 = sum(n3,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f666,plain,
n20 = sum(n3,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f667,plain,
n19 = sum(n3,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f668,plain,
n18 = sum(n3,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f669,plain,
n17 = sum(n3,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f670,plain,
n16 = sum(n3,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f671,plain,
n15 = sum(n3,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f672,plain,
n14 = sum(n3,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f673,plain,
n13 = sum(n3,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f674,plain,
n12 = sum(n3,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f675,plain,
n11 = sum(n3,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f676,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f677,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f678,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f679,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f680,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f681,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f682,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f683,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f684,plain,
n1 = sum(n2,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f685,plain,
n0 = sum(n2,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f686,plain,
n20 = sum(n2,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f687,plain,
n19 = sum(n2,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f688,plain,
n18 = sum(n2,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f689,plain,
n17 = sum(n2,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f690,plain,
n16 = sum(n2,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f691,plain,
n15 = sum(n2,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f692,plain,
n14 = sum(n2,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f693,plain,
n13 = sum(n2,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f694,plain,
n12 = sum(n2,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f695,plain,
n11 = sum(n2,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f696,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f697,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f698,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f699,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f700,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f701,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f702,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f703,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f704,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f705,plain,
n0 = sum(n1,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f706,plain,
n20 = sum(n1,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f707,plain,
n19 = sum(n1,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f708,plain,
n18 = sum(n1,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f709,plain,
n17 = sum(n1,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f710,plain,
n16 = sum(n1,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f711,plain,
n15 = sum(n1,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f712,plain,
n14 = sum(n1,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f713,plain,
n13 = sum(n1,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f714,plain,
n12 = sum(n1,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f715,plain,
n11 = sum(n1,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f716,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f717,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f718,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f719,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f720,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f721,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f722,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f723,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f724,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f725,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f726,plain,
n20 = sum(n0,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f727,plain,
n19 = sum(n0,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f728,plain,
n18 = sum(n0,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f729,plain,
n17 = sum(n0,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f730,plain,
n16 = sum(n0,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f731,plain,
n15 = sum(n0,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f732,plain,
n14 = sum(n0,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f733,plain,
n13 = sum(n0,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f734,plain,
n12 = sum(n0,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f735,plain,
n11 = sum(n0,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f736,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f737,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f738,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f739,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f740,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f741,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f742,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f743,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f744,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f745,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f746,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f747,plain,
n19 = pred(n20),
inference(cnf_transformation,[],[f2]) ).
fof(f748,plain,
n18 = pred(n19),
inference(cnf_transformation,[],[f2]) ).
fof(f749,plain,
n17 = pred(n18),
inference(cnf_transformation,[],[f2]) ).
fof(f750,plain,
n16 = pred(n17),
inference(cnf_transformation,[],[f2]) ).
fof(f751,plain,
n15 = pred(n16),
inference(cnf_transformation,[],[f2]) ).
fof(f752,plain,
n14 = pred(n15),
inference(cnf_transformation,[],[f2]) ).
fof(f753,plain,
n13 = pred(n14),
inference(cnf_transformation,[],[f2]) ).
fof(f754,plain,
n12 = pred(n13),
inference(cnf_transformation,[],[f2]) ).
fof(f755,plain,
n11 = pred(n12),
inference(cnf_transformation,[],[f2]) ).
fof(f756,plain,
n10 = pred(n11),
inference(cnf_transformation,[],[f2]) ).
fof(f757,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f2]) ).
fof(f758,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f2]) ).
fof(f759,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f2]) ).
fof(f760,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f2]) ).
fof(f761,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f2]) ).
fof(f762,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f2]) ).
fof(f763,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f2]) ).
fof(f764,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f2]) ).
fof(f765,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f2]) ).
fof(f766,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f2]) ).
fof(f767,plain,
n20 = pred(n0),
inference(cnf_transformation,[],[f2]) ).
fof(f768,plain,
n0 = succ(n20),
inference(cnf_transformation,[],[f2]) ).
fof(f769,plain,
succ(n19) = n20,
inference(cnf_transformation,[],[f2]) ).
fof(f770,plain,
succ(n18) = n19,
inference(cnf_transformation,[],[f2]) ).
fof(f771,plain,
succ(n17) = n18,
inference(cnf_transformation,[],[f2]) ).
fof(f772,plain,
succ(n16) = n17,
inference(cnf_transformation,[],[f2]) ).
fof(f773,plain,
succ(n15) = n16,
inference(cnf_transformation,[],[f2]) ).
fof(f774,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f2]) ).
fof(f775,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f2]) ).
fof(f776,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f2]) ).
fof(f777,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f2]) ).
fof(f778,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f2]) ).
fof(f779,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f2]) ).
fof(f780,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f2]) ).
fof(f781,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f2]) ).
fof(f782,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f2]) ).
fof(f783,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f2]) ).
fof(f784,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f2]) ).
fof(f785,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f2]) ).
fof(f786,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f2]) ).
fof(f787,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f2]) ).
fof(f788,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_49,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f788]) ).
tcf(c_50,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f787]) ).
tcf(c_51,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f786]) ).
tcf(c_52,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f785]) ).
tcf(c_53,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f784]) ).
tcf(c_54,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f783]) ).
tcf(c_55,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f782]) ).
tcf(c_56,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f781]) ).
tcf(c_57,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f780]) ).
tcf(c_58,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f779]) ).
tcf(c_59,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f778]) ).
tcf(c_60,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f777]) ).
tcf(c_61,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f776]) ).
tcf(c_62,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f775]) ).
tcf(c_63,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f774]) ).
tcf(c_64,plain,
succ(n15) = n16,
inference(cnf_transformation,[],[f773]) ).
tcf(c_65,plain,
succ(n16) = n17,
inference(cnf_transformation,[],[f772]) ).
tcf(c_66,plain,
succ(n17) = n18,
inference(cnf_transformation,[],[f771]) ).
tcf(c_67,plain,
succ(n18) = n19,
inference(cnf_transformation,[],[f770]) ).
tcf(c_68,plain,
succ(n19) = n20,
inference(cnf_transformation,[],[f769]) ).
tcf(c_69,plain,
succ(n20) = n0,
inference(cnf_transformation,[],[f768]) ).
tcf(c_70,plain,
pred(n0) = n20,
inference(cnf_transformation,[],[f767]) ).
tcf(c_71,plain,
pred(n1) = n0,
inference(cnf_transformation,[],[f766]) ).
tcf(c_72,plain,
pred(n2) = n1,
inference(cnf_transformation,[],[f765]) ).
tcf(c_73,plain,
pred(n3) = n2,
inference(cnf_transformation,[],[f764]) ).
tcf(c_74,plain,
pred(n4) = n3,
inference(cnf_transformation,[],[f763]) ).
tcf(c_75,plain,
pred(n5) = n4,
inference(cnf_transformation,[],[f762]) ).
tcf(c_76,plain,
pred(n6) = n5,
inference(cnf_transformation,[],[f761]) ).
tcf(c_77,plain,
pred(n7) = n6,
inference(cnf_transformation,[],[f760]) ).
tcf(c_78,plain,
pred(n8) = n7,
inference(cnf_transformation,[],[f759]) ).
tcf(c_79,plain,
pred(n9) = n8,
inference(cnf_transformation,[],[f758]) ).
tcf(c_80,plain,
pred(n10) = n9,
inference(cnf_transformation,[],[f757]) ).
tcf(c_81,plain,
pred(n11) = n10,
inference(cnf_transformation,[],[f756]) ).
tcf(c_82,plain,
pred(n12) = n11,
inference(cnf_transformation,[],[f755]) ).
tcf(c_83,plain,
pred(n13) = n12,
inference(cnf_transformation,[],[f754]) ).
tcf(c_84,plain,
pred(n14) = n13,
inference(cnf_transformation,[],[f753]) ).
tcf(c_85,plain,
pred(n15) = n14,
inference(cnf_transformation,[],[f752]) ).
tcf(c_86,plain,
pred(n16) = n15,
inference(cnf_transformation,[],[f751]) ).
tcf(c_87,plain,
pred(n17) = n16,
inference(cnf_transformation,[],[f750]) ).
tcf(c_88,plain,
pred(n18) = n17,
inference(cnf_transformation,[],[f749]) ).
tcf(c_89,plain,
pred(n19) = n18,
inference(cnf_transformation,[],[f748]) ).
tcf(c_90,plain,
pred(n20) = n19,
inference(cnf_transformation,[],[f747]) ).
tcf(c_91,plain,
sum(n0,n0) = n0,
inference(cnf_transformation,[],[f746]) ).
tcf(c_92,plain,
sum(n0,n1) = n1,
inference(cnf_transformation,[],[f745]) ).
tcf(c_93,plain,
sum(n0,n2) = n2,
inference(cnf_transformation,[],[f744]) ).
tcf(c_94,plain,
sum(n0,n3) = n3,
inference(cnf_transformation,[],[f743]) ).
tcf(c_95,plain,
sum(n0,n4) = n4,
inference(cnf_transformation,[],[f742]) ).
tcf(c_96,plain,
sum(n0,n5) = n5,
inference(cnf_transformation,[],[f741]) ).
tcf(c_97,plain,
sum(n0,n6) = n6,
inference(cnf_transformation,[],[f740]) ).
tcf(c_98,plain,
sum(n0,n7) = n7,
inference(cnf_transformation,[],[f739]) ).
tcf(c_99,plain,
sum(n0,n8) = n8,
inference(cnf_transformation,[],[f738]) ).
tcf(c_100,plain,
sum(n0,n9) = n9,
inference(cnf_transformation,[],[f737]) ).
tcf(c_101,plain,
sum(n0,n10) = n10,
inference(cnf_transformation,[],[f736]) ).
tcf(c_102,plain,
sum(n0,n11) = n11,
inference(cnf_transformation,[],[f735]) ).
tcf(c_103,plain,
sum(n0,n12) = n12,
inference(cnf_transformation,[],[f734]) ).
tcf(c_104,plain,
sum(n0,n13) = n13,
inference(cnf_transformation,[],[f733]) ).
tcf(c_105,plain,
sum(n0,n14) = n14,
inference(cnf_transformation,[],[f732]) ).
tcf(c_106,plain,
sum(n0,n15) = n15,
inference(cnf_transformation,[],[f731]) ).
tcf(c_107,plain,
sum(n0,n16) = n16,
inference(cnf_transformation,[],[f730]) ).
tcf(c_108,plain,
sum(n0,n17) = n17,
inference(cnf_transformation,[],[f729]) ).
tcf(c_109,plain,
sum(n0,n18) = n18,
inference(cnf_transformation,[],[f728]) ).
tcf(c_110,plain,
sum(n0,n19) = n19,
inference(cnf_transformation,[],[f727]) ).
tcf(c_111,plain,
sum(n0,n20) = n20,
inference(cnf_transformation,[],[f726]) ).
tcf(c_112,plain,
sum(n1,n0) = n1,
inference(cnf_transformation,[],[f725]) ).
tcf(c_113,plain,
sum(n1,n1) = n2,
inference(cnf_transformation,[],[f724]) ).
tcf(c_114,plain,
sum(n1,n2) = n3,
inference(cnf_transformation,[],[f723]) ).
tcf(c_115,plain,
sum(n1,n3) = n4,
inference(cnf_transformation,[],[f722]) ).
tcf(c_116,plain,
sum(n1,n4) = n5,
inference(cnf_transformation,[],[f721]) ).
tcf(c_117,plain,
sum(n1,n5) = n6,
inference(cnf_transformation,[],[f720]) ).
tcf(c_118,plain,
sum(n1,n6) = n7,
inference(cnf_transformation,[],[f719]) ).
tcf(c_119,plain,
sum(n1,n7) = n8,
inference(cnf_transformation,[],[f718]) ).
tcf(c_120,plain,
sum(n1,n8) = n9,
inference(cnf_transformation,[],[f717]) ).
tcf(c_121,plain,
sum(n1,n9) = n10,
inference(cnf_transformation,[],[f716]) ).
tcf(c_122,plain,
sum(n1,n10) = n11,
inference(cnf_transformation,[],[f715]) ).
tcf(c_123,plain,
sum(n1,n11) = n12,
inference(cnf_transformation,[],[f714]) ).
tcf(c_124,plain,
sum(n1,n12) = n13,
inference(cnf_transformation,[],[f713]) ).
tcf(c_125,plain,
sum(n1,n13) = n14,
inference(cnf_transformation,[],[f712]) ).
tcf(c_126,plain,
sum(n1,n14) = n15,
inference(cnf_transformation,[],[f711]) ).
tcf(c_127,plain,
sum(n1,n15) = n16,
inference(cnf_transformation,[],[f710]) ).
tcf(c_128,plain,
sum(n1,n16) = n17,
inference(cnf_transformation,[],[f709]) ).
tcf(c_129,plain,
sum(n1,n17) = n18,
inference(cnf_transformation,[],[f708]) ).
tcf(c_130,plain,
sum(n1,n18) = n19,
inference(cnf_transformation,[],[f707]) ).
tcf(c_131,plain,
sum(n1,n19) = n20,
inference(cnf_transformation,[],[f706]) ).
tcf(c_132,plain,
sum(n1,n20) = n0,
inference(cnf_transformation,[],[f705]) ).
tcf(c_133,plain,
sum(n2,n0) = n2,
inference(cnf_transformation,[],[f704]) ).
tcf(c_134,plain,
sum(n2,n1) = n3,
inference(cnf_transformation,[],[f703]) ).
tcf(c_135,plain,
sum(n2,n2) = n4,
inference(cnf_transformation,[],[f702]) ).
tcf(c_136,plain,
sum(n2,n3) = n5,
inference(cnf_transformation,[],[f701]) ).
tcf(c_137,plain,
sum(n2,n4) = n6,
inference(cnf_transformation,[],[f700]) ).
tcf(c_138,plain,
sum(n2,n5) = n7,
inference(cnf_transformation,[],[f699]) ).
tcf(c_139,plain,
sum(n2,n6) = n8,
inference(cnf_transformation,[],[f698]) ).
tcf(c_140,plain,
sum(n2,n7) = n9,
inference(cnf_transformation,[],[f697]) ).
tcf(c_141,plain,
sum(n2,n8) = n10,
inference(cnf_transformation,[],[f696]) ).
tcf(c_142,plain,
sum(n2,n9) = n11,
inference(cnf_transformation,[],[f695]) ).
tcf(c_143,plain,
sum(n2,n10) = n12,
inference(cnf_transformation,[],[f694]) ).
tcf(c_144,plain,
sum(n2,n11) = n13,
inference(cnf_transformation,[],[f693]) ).
tcf(c_145,plain,
sum(n2,n12) = n14,
inference(cnf_transformation,[],[f692]) ).
tcf(c_146,plain,
sum(n2,n13) = n15,
inference(cnf_transformation,[],[f691]) ).
tcf(c_147,plain,
sum(n2,n14) = n16,
inference(cnf_transformation,[],[f690]) ).
tcf(c_148,plain,
sum(n2,n15) = n17,
inference(cnf_transformation,[],[f689]) ).
tcf(c_149,plain,
sum(n2,n16) = n18,
inference(cnf_transformation,[],[f688]) ).
tcf(c_150,plain,
sum(n2,n17) = n19,
inference(cnf_transformation,[],[f687]) ).
tcf(c_151,plain,
sum(n2,n18) = n20,
inference(cnf_transformation,[],[f686]) ).
tcf(c_152,plain,
sum(n2,n19) = n0,
inference(cnf_transformation,[],[f685]) ).
tcf(c_153,plain,
sum(n2,n20) = n1,
inference(cnf_transformation,[],[f684]) ).
tcf(c_154,plain,
sum(n3,n0) = n3,
inference(cnf_transformation,[],[f683]) ).
tcf(c_155,plain,
sum(n3,n1) = n4,
inference(cnf_transformation,[],[f682]) ).
tcf(c_156,plain,
sum(n3,n2) = n5,
inference(cnf_transformation,[],[f681]) ).
tcf(c_157,plain,
sum(n3,n3) = n6,
inference(cnf_transformation,[],[f680]) ).
tcf(c_158,plain,
sum(n3,n4) = n7,
inference(cnf_transformation,[],[f679]) ).
tcf(c_159,plain,
sum(n3,n5) = n8,
inference(cnf_transformation,[],[f678]) ).
tcf(c_160,plain,
sum(n3,n6) = n9,
inference(cnf_transformation,[],[f677]) ).
tcf(c_161,plain,
sum(n3,n7) = n10,
inference(cnf_transformation,[],[f676]) ).
tcf(c_162,plain,
sum(n3,n8) = n11,
inference(cnf_transformation,[],[f675]) ).
tcf(c_163,plain,
sum(n3,n9) = n12,
inference(cnf_transformation,[],[f674]) ).
tcf(c_164,plain,
sum(n3,n10) = n13,
inference(cnf_transformation,[],[f673]) ).
tcf(c_165,plain,
sum(n3,n11) = n14,
inference(cnf_transformation,[],[f672]) ).
tcf(c_166,plain,
sum(n3,n12) = n15,
inference(cnf_transformation,[],[f671]) ).
tcf(c_167,plain,
sum(n3,n13) = n16,
inference(cnf_transformation,[],[f670]) ).
tcf(c_168,plain,
sum(n3,n14) = n17,
inference(cnf_transformation,[],[f669]) ).
tcf(c_169,plain,
sum(n3,n15) = n18,
inference(cnf_transformation,[],[f668]) ).
tcf(c_170,plain,
sum(n3,n16) = n19,
inference(cnf_transformation,[],[f667]) ).
tcf(c_171,plain,
sum(n3,n17) = n20,
inference(cnf_transformation,[],[f666]) ).
tcf(c_172,plain,
sum(n3,n18) = n0,
inference(cnf_transformation,[],[f665]) ).
tcf(c_173,plain,
sum(n3,n19) = n1,
inference(cnf_transformation,[],[f664]) ).
tcf(c_174,plain,
sum(n3,n20) = n2,
inference(cnf_transformation,[],[f663]) ).
tcf(c_175,plain,
sum(n4,n0) = n4,
inference(cnf_transformation,[],[f662]) ).
tcf(c_176,plain,
sum(n4,n1) = n5,
inference(cnf_transformation,[],[f661]) ).
tcf(c_177,plain,
sum(n4,n2) = n6,
inference(cnf_transformation,[],[f660]) ).
tcf(c_178,plain,
sum(n4,n3) = n7,
inference(cnf_transformation,[],[f659]) ).
tcf(c_179,plain,
sum(n4,n4) = n8,
inference(cnf_transformation,[],[f658]) ).
tcf(c_180,plain,
sum(n4,n5) = n9,
inference(cnf_transformation,[],[f657]) ).
tcf(c_181,plain,
sum(n4,n6) = n10,
inference(cnf_transformation,[],[f656]) ).
tcf(c_182,plain,
sum(n4,n7) = n11,
inference(cnf_transformation,[],[f655]) ).
tcf(c_183,plain,
sum(n4,n8) = n12,
inference(cnf_transformation,[],[f654]) ).
tcf(c_184,plain,
sum(n4,n9) = n13,
inference(cnf_transformation,[],[f653]) ).
tcf(c_185,plain,
sum(n4,n10) = n14,
inference(cnf_transformation,[],[f652]) ).
tcf(c_186,plain,
sum(n4,n11) = n15,
inference(cnf_transformation,[],[f651]) ).
tcf(c_187,plain,
sum(n4,n12) = n16,
inference(cnf_transformation,[],[f650]) ).
tcf(c_188,plain,
sum(n4,n13) = n17,
inference(cnf_transformation,[],[f649]) ).
tcf(c_189,plain,
sum(n4,n14) = n18,
inference(cnf_transformation,[],[f648]) ).
tcf(c_190,plain,
sum(n4,n15) = n19,
inference(cnf_transformation,[],[f647]) ).
tcf(c_191,plain,
sum(n4,n16) = n20,
inference(cnf_transformation,[],[f646]) ).
tcf(c_192,plain,
sum(n4,n17) = n0,
inference(cnf_transformation,[],[f645]) ).
tcf(c_193,plain,
sum(n4,n18) = n1,
inference(cnf_transformation,[],[f644]) ).
tcf(c_194,plain,
sum(n4,n19) = n2,
inference(cnf_transformation,[],[f643]) ).
tcf(c_195,plain,
sum(n4,n20) = n3,
inference(cnf_transformation,[],[f642]) ).
tcf(c_196,plain,
sum(n5,n0) = n5,
inference(cnf_transformation,[],[f641]) ).
tcf(c_197,plain,
sum(n5,n1) = n6,
inference(cnf_transformation,[],[f640]) ).
tcf(c_198,plain,
sum(n5,n2) = n7,
inference(cnf_transformation,[],[f639]) ).
tcf(c_199,plain,
sum(n5,n3) = n8,
inference(cnf_transformation,[],[f638]) ).
tcf(c_200,plain,
sum(n5,n4) = n9,
inference(cnf_transformation,[],[f637]) ).
tcf(c_201,plain,
sum(n5,n5) = n10,
inference(cnf_transformation,[],[f636]) ).
tcf(c_202,plain,
sum(n5,n6) = n11,
inference(cnf_transformation,[],[f635]) ).
tcf(c_203,plain,
sum(n5,n7) = n12,
inference(cnf_transformation,[],[f634]) ).
tcf(c_204,plain,
sum(n5,n8) = n13,
inference(cnf_transformation,[],[f633]) ).
tcf(c_205,plain,
sum(n5,n9) = n14,
inference(cnf_transformation,[],[f632]) ).
tcf(c_206,plain,
sum(n5,n10) = n15,
inference(cnf_transformation,[],[f631]) ).
tcf(c_207,plain,
sum(n5,n11) = n16,
inference(cnf_transformation,[],[f630]) ).
tcf(c_208,plain,
sum(n5,n12) = n17,
inference(cnf_transformation,[],[f629]) ).
tcf(c_209,plain,
sum(n5,n13) = n18,
inference(cnf_transformation,[],[f628]) ).
tcf(c_210,plain,
sum(n5,n14) = n19,
inference(cnf_transformation,[],[f627]) ).
tcf(c_211,plain,
sum(n5,n15) = n20,
inference(cnf_transformation,[],[f626]) ).
tcf(c_212,plain,
sum(n5,n16) = n0,
inference(cnf_transformation,[],[f625]) ).
tcf(c_213,plain,
sum(n5,n17) = n1,
inference(cnf_transformation,[],[f624]) ).
tcf(c_214,plain,
sum(n5,n18) = n2,
inference(cnf_transformation,[],[f623]) ).
tcf(c_215,plain,
sum(n5,n19) = n3,
inference(cnf_transformation,[],[f622]) ).
tcf(c_216,plain,
sum(n5,n20) = n4,
inference(cnf_transformation,[],[f621]) ).
tcf(c_217,plain,
sum(n6,n0) = n6,
inference(cnf_transformation,[],[f620]) ).
tcf(c_218,plain,
sum(n6,n1) = n7,
inference(cnf_transformation,[],[f619]) ).
tcf(c_219,plain,
sum(n6,n2) = n8,
inference(cnf_transformation,[],[f618]) ).
tcf(c_220,plain,
sum(n6,n3) = n9,
inference(cnf_transformation,[],[f617]) ).
tcf(c_221,plain,
sum(n6,n4) = n10,
inference(cnf_transformation,[],[f616]) ).
tcf(c_222,plain,
sum(n6,n5) = n11,
inference(cnf_transformation,[],[f615]) ).
tcf(c_223,plain,
sum(n6,n6) = n12,
inference(cnf_transformation,[],[f614]) ).
tcf(c_224,plain,
sum(n6,n7) = n13,
inference(cnf_transformation,[],[f613]) ).
tcf(c_225,plain,
sum(n6,n8) = n14,
inference(cnf_transformation,[],[f612]) ).
tcf(c_226,plain,
sum(n6,n9) = n15,
inference(cnf_transformation,[],[f611]) ).
tcf(c_227,plain,
sum(n6,n10) = n16,
inference(cnf_transformation,[],[f610]) ).
tcf(c_228,plain,
sum(n6,n11) = n17,
inference(cnf_transformation,[],[f609]) ).
tcf(c_229,plain,
sum(n6,n12) = n18,
inference(cnf_transformation,[],[f608]) ).
tcf(c_230,plain,
sum(n6,n13) = n19,
inference(cnf_transformation,[],[f607]) ).
tcf(c_231,plain,
sum(n6,n14) = n20,
inference(cnf_transformation,[],[f606]) ).
tcf(c_232,plain,
sum(n6,n15) = n0,
inference(cnf_transformation,[],[f605]) ).
tcf(c_233,plain,
sum(n6,n16) = n1,
inference(cnf_transformation,[],[f604]) ).
tcf(c_234,plain,
sum(n6,n17) = n2,
inference(cnf_transformation,[],[f603]) ).
tcf(c_235,plain,
sum(n6,n18) = n3,
inference(cnf_transformation,[],[f602]) ).
tcf(c_236,plain,
sum(n6,n19) = n4,
inference(cnf_transformation,[],[f601]) ).
tcf(c_237,plain,
sum(n6,n20) = n5,
inference(cnf_transformation,[],[f600]) ).
tcf(c_238,plain,
sum(n7,n0) = n7,
inference(cnf_transformation,[],[f599]) ).
tcf(c_239,plain,
sum(n7,n1) = n8,
inference(cnf_transformation,[],[f598]) ).
tcf(c_240,plain,
sum(n7,n2) = n9,
inference(cnf_transformation,[],[f597]) ).
tcf(c_241,plain,
sum(n7,n3) = n10,
inference(cnf_transformation,[],[f596]) ).
tcf(c_242,plain,
sum(n7,n4) = n11,
inference(cnf_transformation,[],[f595]) ).
tcf(c_243,plain,
sum(n7,n5) = n12,
inference(cnf_transformation,[],[f594]) ).
tcf(c_244,plain,
sum(n7,n6) = n13,
inference(cnf_transformation,[],[f593]) ).
tcf(c_245,plain,
sum(n7,n7) = n14,
inference(cnf_transformation,[],[f592]) ).
tcf(c_246,plain,
sum(n7,n8) = n15,
inference(cnf_transformation,[],[f591]) ).
tcf(c_247,plain,
sum(n7,n9) = n16,
inference(cnf_transformation,[],[f590]) ).
tcf(c_248,plain,
sum(n7,n10) = n17,
inference(cnf_transformation,[],[f589]) ).
tcf(c_249,plain,
sum(n7,n11) = n18,
inference(cnf_transformation,[],[f588]) ).
tcf(c_250,plain,
sum(n7,n12) = n19,
inference(cnf_transformation,[],[f587]) ).
tcf(c_251,plain,
sum(n7,n13) = n20,
inference(cnf_transformation,[],[f586]) ).
tcf(c_252,plain,
sum(n7,n14) = n0,
inference(cnf_transformation,[],[f585]) ).
tcf(c_253,plain,
sum(n7,n15) = n1,
inference(cnf_transformation,[],[f584]) ).
tcf(c_254,plain,
sum(n7,n16) = n2,
inference(cnf_transformation,[],[f583]) ).
tcf(c_255,plain,
sum(n7,n17) = n3,
inference(cnf_transformation,[],[f582]) ).
tcf(c_256,plain,
sum(n7,n18) = n4,
inference(cnf_transformation,[],[f581]) ).
tcf(c_257,plain,
sum(n7,n19) = n5,
inference(cnf_transformation,[],[f580]) ).
tcf(c_258,plain,
sum(n7,n20) = n6,
inference(cnf_transformation,[],[f579]) ).
tcf(c_259,plain,
sum(n8,n0) = n8,
inference(cnf_transformation,[],[f578]) ).
tcf(c_260,plain,
sum(n8,n1) = n9,
inference(cnf_transformation,[],[f577]) ).
tcf(c_261,plain,
sum(n8,n2) = n10,
inference(cnf_transformation,[],[f576]) ).
tcf(c_262,plain,
sum(n8,n3) = n11,
inference(cnf_transformation,[],[f575]) ).
tcf(c_263,plain,
sum(n8,n4) = n12,
inference(cnf_transformation,[],[f574]) ).
tcf(c_264,plain,
sum(n8,n5) = n13,
inference(cnf_transformation,[],[f573]) ).
tcf(c_265,plain,
sum(n8,n6) = n14,
inference(cnf_transformation,[],[f572]) ).
tcf(c_266,plain,
sum(n8,n7) = n15,
inference(cnf_transformation,[],[f571]) ).
tcf(c_267,plain,
sum(n8,n8) = n16,
inference(cnf_transformation,[],[f570]) ).
tcf(c_268,plain,
sum(n8,n9) = n17,
inference(cnf_transformation,[],[f569]) ).
tcf(c_269,plain,
sum(n8,n10) = n18,
inference(cnf_transformation,[],[f568]) ).
tcf(c_270,plain,
sum(n8,n11) = n19,
inference(cnf_transformation,[],[f567]) ).
tcf(c_271,plain,
sum(n8,n12) = n20,
inference(cnf_transformation,[],[f566]) ).
tcf(c_272,plain,
sum(n8,n13) = n0,
inference(cnf_transformation,[],[f565]) ).
tcf(c_273,plain,
sum(n8,n14) = n1,
inference(cnf_transformation,[],[f564]) ).
tcf(c_274,plain,
sum(n8,n15) = n2,
inference(cnf_transformation,[],[f563]) ).
tcf(c_275,plain,
sum(n8,n16) = n3,
inference(cnf_transformation,[],[f562]) ).
tcf(c_276,plain,
sum(n8,n17) = n4,
inference(cnf_transformation,[],[f561]) ).
tcf(c_277,plain,
sum(n8,n18) = n5,
inference(cnf_transformation,[],[f560]) ).
tcf(c_278,plain,
sum(n8,n19) = n6,
inference(cnf_transformation,[],[f559]) ).
tcf(c_279,plain,
sum(n8,n20) = n7,
inference(cnf_transformation,[],[f558]) ).
tcf(c_280,plain,
sum(n9,n0) = n9,
inference(cnf_transformation,[],[f557]) ).
tcf(c_281,plain,
sum(n9,n1) = n10,
inference(cnf_transformation,[],[f556]) ).
tcf(c_282,plain,
sum(n9,n2) = n11,
inference(cnf_transformation,[],[f555]) ).
tcf(c_283,plain,
sum(n9,n3) = n12,
inference(cnf_transformation,[],[f554]) ).
tcf(c_284,plain,
sum(n9,n4) = n13,
inference(cnf_transformation,[],[f553]) ).
tcf(c_285,plain,
sum(n9,n5) = n14,
inference(cnf_transformation,[],[f552]) ).
tcf(c_286,plain,
sum(n9,n6) = n15,
inference(cnf_transformation,[],[f551]) ).
tcf(c_287,plain,
sum(n9,n7) = n16,
inference(cnf_transformation,[],[f550]) ).
tcf(c_288,plain,
sum(n9,n8) = n17,
inference(cnf_transformation,[],[f549]) ).
tcf(c_289,plain,
sum(n9,n9) = n18,
inference(cnf_transformation,[],[f548]) ).
tcf(c_290,plain,
sum(n9,n10) = n19,
inference(cnf_transformation,[],[f547]) ).
tcf(c_291,plain,
sum(n9,n11) = n20,
inference(cnf_transformation,[],[f546]) ).
tcf(c_292,plain,
sum(n9,n12) = n0,
inference(cnf_transformation,[],[f545]) ).
tcf(c_293,plain,
sum(n9,n13) = n1,
inference(cnf_transformation,[],[f544]) ).
tcf(c_294,plain,
sum(n9,n14) = n2,
inference(cnf_transformation,[],[f543]) ).
tcf(c_295,plain,
sum(n9,n15) = n3,
inference(cnf_transformation,[],[f542]) ).
tcf(c_296,plain,
sum(n9,n16) = n4,
inference(cnf_transformation,[],[f541]) ).
tcf(c_297,plain,
sum(n9,n17) = n5,
inference(cnf_transformation,[],[f540]) ).
tcf(c_298,plain,
sum(n9,n18) = n6,
inference(cnf_transformation,[],[f539]) ).
tcf(c_299,plain,
sum(n9,n19) = n7,
inference(cnf_transformation,[],[f538]) ).
tcf(c_300,plain,
sum(n9,n20) = n8,
inference(cnf_transformation,[],[f537]) ).
tcf(c_301,plain,
sum(n10,n0) = n10,
inference(cnf_transformation,[],[f536]) ).
tcf(c_302,plain,
sum(n10,n1) = n11,
inference(cnf_transformation,[],[f535]) ).
tcf(c_303,plain,
sum(n10,n2) = n12,
inference(cnf_transformation,[],[f534]) ).
tcf(c_304,plain,
sum(n10,n3) = n13,
inference(cnf_transformation,[],[f533]) ).
tcf(c_305,plain,
sum(n10,n4) = n14,
inference(cnf_transformation,[],[f532]) ).
tcf(c_306,plain,
sum(n10,n5) = n15,
inference(cnf_transformation,[],[f531]) ).
tcf(c_307,plain,
sum(n10,n6) = n16,
inference(cnf_transformation,[],[f530]) ).
tcf(c_308,plain,
sum(n10,n7) = n17,
inference(cnf_transformation,[],[f529]) ).
tcf(c_309,plain,
sum(n10,n8) = n18,
inference(cnf_transformation,[],[f528]) ).
tcf(c_310,plain,
sum(n10,n9) = n19,
inference(cnf_transformation,[],[f527]) ).
tcf(c_311,plain,
sum(n10,n10) = n20,
inference(cnf_transformation,[],[f526]) ).
tcf(c_312,plain,
sum(n10,n11) = n0,
inference(cnf_transformation,[],[f525]) ).
tcf(c_313,plain,
sum(n10,n12) = n1,
inference(cnf_transformation,[],[f524]) ).
tcf(c_314,plain,
sum(n10,n13) = n2,
inference(cnf_transformation,[],[f523]) ).
tcf(c_315,plain,
sum(n10,n14) = n3,
inference(cnf_transformation,[],[f522]) ).
tcf(c_316,plain,
sum(n10,n15) = n4,
inference(cnf_transformation,[],[f521]) ).
tcf(c_317,plain,
sum(n10,n16) = n5,
inference(cnf_transformation,[],[f520]) ).
tcf(c_318,plain,
sum(n10,n17) = n6,
inference(cnf_transformation,[],[f519]) ).
tcf(c_319,plain,
sum(n10,n18) = n7,
inference(cnf_transformation,[],[f518]) ).
tcf(c_320,plain,
sum(n10,n19) = n8,
inference(cnf_transformation,[],[f517]) ).
tcf(c_321,plain,
sum(n10,n20) = n9,
inference(cnf_transformation,[],[f516]) ).
tcf(c_322,plain,
sum(n11,n0) = n11,
inference(cnf_transformation,[],[f515]) ).
tcf(c_323,plain,
sum(n11,n1) = n12,
inference(cnf_transformation,[],[f514]) ).
tcf(c_324,plain,
sum(n11,n2) = n13,
inference(cnf_transformation,[],[f513]) ).
tcf(c_325,plain,
sum(n11,n3) = n14,
inference(cnf_transformation,[],[f512]) ).
tcf(c_326,plain,
sum(n11,n4) = n15,
inference(cnf_transformation,[],[f511]) ).
tcf(c_327,plain,
sum(n11,n5) = n16,
inference(cnf_transformation,[],[f510]) ).
tcf(c_328,plain,
sum(n11,n6) = n17,
inference(cnf_transformation,[],[f509]) ).
tcf(c_329,plain,
sum(n11,n7) = n18,
inference(cnf_transformation,[],[f508]) ).
tcf(c_330,plain,
sum(n11,n8) = n19,
inference(cnf_transformation,[],[f507]) ).
tcf(c_331,plain,
sum(n11,n9) = n20,
inference(cnf_transformation,[],[f506]) ).
tcf(c_332,plain,
sum(n11,n10) = n0,
inference(cnf_transformation,[],[f505]) ).
tcf(c_333,plain,
sum(n11,n11) = n1,
inference(cnf_transformation,[],[f504]) ).
tcf(c_334,plain,
sum(n11,n12) = n2,
inference(cnf_transformation,[],[f503]) ).
tcf(c_335,plain,
sum(n11,n13) = n3,
inference(cnf_transformation,[],[f502]) ).
tcf(c_336,plain,
sum(n11,n14) = n4,
inference(cnf_transformation,[],[f501]) ).
tcf(c_337,plain,
sum(n11,n15) = n5,
inference(cnf_transformation,[],[f500]) ).
tcf(c_338,plain,
sum(n11,n16) = n6,
inference(cnf_transformation,[],[f499]) ).
tcf(c_339,plain,
sum(n11,n17) = n7,
inference(cnf_transformation,[],[f498]) ).
tcf(c_340,plain,
sum(n11,n18) = n8,
inference(cnf_transformation,[],[f497]) ).
tcf(c_341,plain,
sum(n11,n19) = n9,
inference(cnf_transformation,[],[f496]) ).
tcf(c_342,plain,
sum(n11,n20) = n10,
inference(cnf_transformation,[],[f495]) ).
tcf(c_343,plain,
sum(n12,n0) = n12,
inference(cnf_transformation,[],[f494]) ).
tcf(c_344,plain,
sum(n12,n1) = n13,
inference(cnf_transformation,[],[f493]) ).
tcf(c_345,plain,
sum(n12,n2) = n14,
inference(cnf_transformation,[],[f492]) ).
tcf(c_346,plain,
sum(n12,n3) = n15,
inference(cnf_transformation,[],[f491]) ).
tcf(c_347,plain,
sum(n12,n4) = n16,
inference(cnf_transformation,[],[f490]) ).
tcf(c_348,plain,
sum(n12,n5) = n17,
inference(cnf_transformation,[],[f489]) ).
tcf(c_349,plain,
sum(n12,n6) = n18,
inference(cnf_transformation,[],[f488]) ).
tcf(c_350,plain,
sum(n12,n7) = n19,
inference(cnf_transformation,[],[f487]) ).
tcf(c_351,plain,
sum(n12,n8) = n20,
inference(cnf_transformation,[],[f486]) ).
tcf(c_352,plain,
sum(n12,n9) = n0,
inference(cnf_transformation,[],[f485]) ).
tcf(c_353,plain,
sum(n12,n10) = n1,
inference(cnf_transformation,[],[f484]) ).
tcf(c_354,plain,
sum(n12,n11) = n2,
inference(cnf_transformation,[],[f483]) ).
tcf(c_355,plain,
sum(n12,n12) = n3,
inference(cnf_transformation,[],[f482]) ).
tcf(c_356,plain,
sum(n12,n13) = n4,
inference(cnf_transformation,[],[f481]) ).
tcf(c_357,plain,
sum(n12,n14) = n5,
inference(cnf_transformation,[],[f480]) ).
tcf(c_358,plain,
sum(n12,n15) = n6,
inference(cnf_transformation,[],[f479]) ).
tcf(c_359,plain,
sum(n12,n16) = n7,
inference(cnf_transformation,[],[f478]) ).
tcf(c_360,plain,
sum(n12,n17) = n8,
inference(cnf_transformation,[],[f477]) ).
tcf(c_361,plain,
sum(n12,n18) = n9,
inference(cnf_transformation,[],[f476]) ).
tcf(c_362,plain,
sum(n12,n19) = n10,
inference(cnf_transformation,[],[f475]) ).
tcf(c_363,plain,
sum(n12,n20) = n11,
inference(cnf_transformation,[],[f474]) ).
tcf(c_364,plain,
sum(n13,n0) = n13,
inference(cnf_transformation,[],[f473]) ).
tcf(c_365,plain,
sum(n13,n1) = n14,
inference(cnf_transformation,[],[f472]) ).
tcf(c_366,plain,
sum(n13,n2) = n15,
inference(cnf_transformation,[],[f471]) ).
tcf(c_367,plain,
sum(n13,n3) = n16,
inference(cnf_transformation,[],[f470]) ).
tcf(c_368,plain,
sum(n13,n4) = n17,
inference(cnf_transformation,[],[f469]) ).
tcf(c_369,plain,
sum(n13,n5) = n18,
inference(cnf_transformation,[],[f468]) ).
tcf(c_370,plain,
sum(n13,n6) = n19,
inference(cnf_transformation,[],[f467]) ).
tcf(c_371,plain,
sum(n13,n7) = n20,
inference(cnf_transformation,[],[f466]) ).
tcf(c_372,plain,
sum(n13,n8) = n0,
inference(cnf_transformation,[],[f465]) ).
tcf(c_373,plain,
sum(n13,n9) = n1,
inference(cnf_transformation,[],[f464]) ).
tcf(c_374,plain,
sum(n13,n10) = n2,
inference(cnf_transformation,[],[f463]) ).
tcf(c_375,plain,
sum(n13,n11) = n3,
inference(cnf_transformation,[],[f462]) ).
tcf(c_376,plain,
sum(n13,n12) = n4,
inference(cnf_transformation,[],[f461]) ).
tcf(c_377,plain,
sum(n13,n13) = n5,
inference(cnf_transformation,[],[f460]) ).
tcf(c_378,plain,
sum(n13,n14) = n6,
inference(cnf_transformation,[],[f459]) ).
tcf(c_379,plain,
sum(n13,n15) = n7,
inference(cnf_transformation,[],[f458]) ).
tcf(c_380,plain,
sum(n13,n16) = n8,
inference(cnf_transformation,[],[f457]) ).
tcf(c_381,plain,
sum(n13,n17) = n9,
inference(cnf_transformation,[],[f456]) ).
tcf(c_382,plain,
sum(n13,n18) = n10,
inference(cnf_transformation,[],[f455]) ).
tcf(c_383,plain,
sum(n13,n19) = n11,
inference(cnf_transformation,[],[f454]) ).
tcf(c_384,plain,
sum(n13,n20) = n12,
inference(cnf_transformation,[],[f453]) ).
tcf(c_385,plain,
sum(n14,n0) = n14,
inference(cnf_transformation,[],[f452]) ).
tcf(c_386,plain,
sum(n14,n1) = n15,
inference(cnf_transformation,[],[f451]) ).
tcf(c_387,plain,
sum(n14,n2) = n16,
inference(cnf_transformation,[],[f450]) ).
tcf(c_388,plain,
sum(n14,n3) = n17,
inference(cnf_transformation,[],[f449]) ).
tcf(c_389,plain,
sum(n14,n4) = n18,
inference(cnf_transformation,[],[f448]) ).
tcf(c_390,plain,
sum(n14,n5) = n19,
inference(cnf_transformation,[],[f447]) ).
tcf(c_391,plain,
sum(n14,n6) = n20,
inference(cnf_transformation,[],[f446]) ).
tcf(c_392,plain,
sum(n14,n7) = n0,
inference(cnf_transformation,[],[f445]) ).
tcf(c_393,plain,
sum(n14,n8) = n1,
inference(cnf_transformation,[],[f444]) ).
tcf(c_394,plain,
sum(n14,n9) = n2,
inference(cnf_transformation,[],[f443]) ).
tcf(c_395,plain,
sum(n14,n10) = n3,
inference(cnf_transformation,[],[f442]) ).
tcf(c_396,plain,
sum(n14,n11) = n4,
inference(cnf_transformation,[],[f441]) ).
tcf(c_397,plain,
sum(n14,n12) = n5,
inference(cnf_transformation,[],[f440]) ).
tcf(c_398,plain,
sum(n14,n13) = n6,
inference(cnf_transformation,[],[f439]) ).
tcf(c_399,plain,
sum(n14,n14) = n7,
inference(cnf_transformation,[],[f438]) ).
tcf(c_400,plain,
sum(n14,n15) = n8,
inference(cnf_transformation,[],[f437]) ).
tcf(c_401,plain,
sum(n14,n16) = n9,
inference(cnf_transformation,[],[f436]) ).
tcf(c_402,plain,
sum(n14,n17) = n10,
inference(cnf_transformation,[],[f435]) ).
tcf(c_403,plain,
sum(n14,n18) = n11,
inference(cnf_transformation,[],[f434]) ).
tcf(c_404,plain,
sum(n14,n19) = n12,
inference(cnf_transformation,[],[f433]) ).
tcf(c_405,plain,
sum(n14,n20) = n13,
inference(cnf_transformation,[],[f432]) ).
tcf(c_406,plain,
sum(n15,n0) = n15,
inference(cnf_transformation,[],[f431]) ).
tcf(c_407,plain,
sum(n15,n1) = n16,
inference(cnf_transformation,[],[f430]) ).
tcf(c_408,plain,
sum(n15,n2) = n17,
inference(cnf_transformation,[],[f429]) ).
tcf(c_409,plain,
sum(n15,n3) = n18,
inference(cnf_transformation,[],[f428]) ).
tcf(c_410,plain,
sum(n15,n4) = n19,
inference(cnf_transformation,[],[f427]) ).
tcf(c_411,plain,
sum(n15,n5) = n20,
inference(cnf_transformation,[],[f426]) ).
tcf(c_412,plain,
sum(n15,n6) = n0,
inference(cnf_transformation,[],[f425]) ).
tcf(c_413,plain,
sum(n15,n7) = n1,
inference(cnf_transformation,[],[f424]) ).
tcf(c_414,plain,
sum(n15,n8) = n2,
inference(cnf_transformation,[],[f423]) ).
tcf(c_415,plain,
sum(n15,n9) = n3,
inference(cnf_transformation,[],[f422]) ).
tcf(c_416,plain,
sum(n15,n10) = n4,
inference(cnf_transformation,[],[f421]) ).
tcf(c_417,plain,
sum(n15,n11) = n5,
inference(cnf_transformation,[],[f420]) ).
tcf(c_418,plain,
sum(n15,n12) = n6,
inference(cnf_transformation,[],[f419]) ).
tcf(c_419,plain,
sum(n15,n13) = n7,
inference(cnf_transformation,[],[f418]) ).
tcf(c_420,plain,
sum(n15,n14) = n8,
inference(cnf_transformation,[],[f417]) ).
tcf(c_421,plain,
sum(n15,n15) = n9,
inference(cnf_transformation,[],[f416]) ).
tcf(c_422,plain,
sum(n15,n16) = n10,
inference(cnf_transformation,[],[f415]) ).
tcf(c_423,plain,
sum(n15,n17) = n11,
inference(cnf_transformation,[],[f414]) ).
tcf(c_424,plain,
sum(n15,n18) = n12,
inference(cnf_transformation,[],[f413]) ).
tcf(c_425,plain,
sum(n15,n19) = n13,
inference(cnf_transformation,[],[f412]) ).
tcf(c_426,plain,
sum(n15,n20) = n14,
inference(cnf_transformation,[],[f411]) ).
tcf(c_427,plain,
sum(n16,n0) = n16,
inference(cnf_transformation,[],[f410]) ).
tcf(c_428,plain,
sum(n16,n1) = n17,
inference(cnf_transformation,[],[f409]) ).
tcf(c_429,plain,
sum(n16,n2) = n18,
inference(cnf_transformation,[],[f408]) ).
tcf(c_430,plain,
sum(n16,n3) = n19,
inference(cnf_transformation,[],[f407]) ).
tcf(c_431,plain,
sum(n16,n4) = n20,
inference(cnf_transformation,[],[f406]) ).
tcf(c_432,plain,
sum(n16,n5) = n0,
inference(cnf_transformation,[],[f405]) ).
tcf(c_433,plain,
sum(n16,n6) = n1,
inference(cnf_transformation,[],[f404]) ).
tcf(c_434,plain,
sum(n16,n7) = n2,
inference(cnf_transformation,[],[f403]) ).
tcf(c_435,plain,
sum(n16,n8) = n3,
inference(cnf_transformation,[],[f402]) ).
tcf(c_436,plain,
sum(n16,n9) = n4,
inference(cnf_transformation,[],[f401]) ).
tcf(c_437,plain,
sum(n16,n10) = n5,
inference(cnf_transformation,[],[f400]) ).
tcf(c_438,plain,
sum(n16,n11) = n6,
inference(cnf_transformation,[],[f399]) ).
tcf(c_439,plain,
sum(n16,n12) = n7,
inference(cnf_transformation,[],[f398]) ).
tcf(c_440,plain,
sum(n16,n13) = n8,
inference(cnf_transformation,[],[f397]) ).
tcf(c_441,plain,
sum(n16,n14) = n9,
inference(cnf_transformation,[],[f396]) ).
tcf(c_442,plain,
sum(n16,n15) = n10,
inference(cnf_transformation,[],[f395]) ).
tcf(c_443,plain,
sum(n16,n16) = n11,
inference(cnf_transformation,[],[f394]) ).
tcf(c_444,plain,
sum(n16,n17) = n12,
inference(cnf_transformation,[],[f393]) ).
tcf(c_445,plain,
sum(n16,n18) = n13,
inference(cnf_transformation,[],[f392]) ).
tcf(c_446,plain,
sum(n16,n19) = n14,
inference(cnf_transformation,[],[f391]) ).
tcf(c_447,plain,
sum(n16,n20) = n15,
inference(cnf_transformation,[],[f390]) ).
tcf(c_448,plain,
sum(n17,n0) = n17,
inference(cnf_transformation,[],[f389]) ).
tcf(c_449,plain,
sum(n17,n1) = n18,
inference(cnf_transformation,[],[f388]) ).
tcf(c_450,plain,
sum(n17,n2) = n19,
inference(cnf_transformation,[],[f387]) ).
tcf(c_451,plain,
sum(n17,n3) = n20,
inference(cnf_transformation,[],[f386]) ).
tcf(c_452,plain,
sum(n17,n4) = n0,
inference(cnf_transformation,[],[f385]) ).
tcf(c_453,plain,
sum(n17,n5) = n1,
inference(cnf_transformation,[],[f384]) ).
tcf(c_454,plain,
sum(n17,n6) = n2,
inference(cnf_transformation,[],[f383]) ).
tcf(c_455,plain,
sum(n17,n7) = n3,
inference(cnf_transformation,[],[f382]) ).
tcf(c_456,plain,
sum(n17,n8) = n4,
inference(cnf_transformation,[],[f381]) ).
tcf(c_457,plain,
sum(n17,n9) = n5,
inference(cnf_transformation,[],[f380]) ).
tcf(c_458,plain,
sum(n17,n10) = n6,
inference(cnf_transformation,[],[f379]) ).
tcf(c_459,plain,
sum(n17,n11) = n7,
inference(cnf_transformation,[],[f378]) ).
tcf(c_460,plain,
sum(n17,n12) = n8,
inference(cnf_transformation,[],[f377]) ).
tcf(c_461,plain,
sum(n17,n13) = n9,
inference(cnf_transformation,[],[f376]) ).
tcf(c_462,plain,
sum(n17,n14) = n10,
inference(cnf_transformation,[],[f375]) ).
tcf(c_463,plain,
sum(n17,n15) = n11,
inference(cnf_transformation,[],[f374]) ).
tcf(c_464,plain,
sum(n17,n16) = n12,
inference(cnf_transformation,[],[f373]) ).
tcf(c_465,plain,
sum(n17,n17) = n13,
inference(cnf_transformation,[],[f372]) ).
tcf(c_466,plain,
sum(n17,n18) = n14,
inference(cnf_transformation,[],[f371]) ).
tcf(c_467,plain,
sum(n17,n19) = n15,
inference(cnf_transformation,[],[f370]) ).
tcf(c_468,plain,
sum(n17,n20) = n16,
inference(cnf_transformation,[],[f369]) ).
tcf(c_469,plain,
sum(n18,n0) = n18,
inference(cnf_transformation,[],[f368]) ).
tcf(c_470,plain,
sum(n18,n1) = n19,
inference(cnf_transformation,[],[f367]) ).
tcf(c_471,plain,
sum(n18,n2) = n20,
inference(cnf_transformation,[],[f366]) ).
tcf(c_472,plain,
sum(n18,n3) = n0,
inference(cnf_transformation,[],[f365]) ).
tcf(c_473,plain,
sum(n18,n4) = n1,
inference(cnf_transformation,[],[f364]) ).
tcf(c_474,plain,
sum(n18,n5) = n2,
inference(cnf_transformation,[],[f363]) ).
tcf(c_475,plain,
sum(n18,n6) = n3,
inference(cnf_transformation,[],[f362]) ).
tcf(c_476,plain,
sum(n18,n7) = n4,
inference(cnf_transformation,[],[f361]) ).
tcf(c_477,plain,
sum(n18,n8) = n5,
inference(cnf_transformation,[],[f360]) ).
tcf(c_478,plain,
sum(n18,n9) = n6,
inference(cnf_transformation,[],[f359]) ).
tcf(c_479,plain,
sum(n18,n10) = n7,
inference(cnf_transformation,[],[f358]) ).
tcf(c_480,plain,
sum(n18,n11) = n8,
inference(cnf_transformation,[],[f357]) ).
tcf(c_481,plain,
sum(n18,n12) = n9,
inference(cnf_transformation,[],[f356]) ).
tcf(c_482,plain,
sum(n18,n13) = n10,
inference(cnf_transformation,[],[f355]) ).
tcf(c_483,plain,
sum(n18,n14) = n11,
inference(cnf_transformation,[],[f354]) ).
tcf(c_484,plain,
sum(n18,n15) = n12,
inference(cnf_transformation,[],[f353]) ).
tcf(c_485,plain,
sum(n18,n16) = n13,
inference(cnf_transformation,[],[f352]) ).
tcf(c_486,plain,
sum(n18,n17) = n14,
inference(cnf_transformation,[],[f351]) ).
tcf(c_487,plain,
sum(n18,n18) = n15,
inference(cnf_transformation,[],[f350]) ).
tcf(c_488,plain,
sum(n18,n19) = n16,
inference(cnf_transformation,[],[f349]) ).
tcf(c_489,plain,
sum(n18,n20) = n17,
inference(cnf_transformation,[],[f348]) ).
tcf(c_490,plain,
sum(n19,n0) = n19,
inference(cnf_transformation,[],[f347]) ).
tcf(c_491,plain,
sum(n19,n1) = n20,
inference(cnf_transformation,[],[f346]) ).
tcf(c_492,plain,
sum(n19,n2) = n0,
inference(cnf_transformation,[],[f345]) ).
tcf(c_493,plain,
sum(n19,n3) = n1,
inference(cnf_transformation,[],[f344]) ).
tcf(c_494,plain,
sum(n19,n4) = n2,
inference(cnf_transformation,[],[f343]) ).
tcf(c_495,plain,
sum(n19,n5) = n3,
inference(cnf_transformation,[],[f342]) ).
tcf(c_496,plain,
sum(n19,n6) = n4,
inference(cnf_transformation,[],[f341]) ).
tcf(c_497,plain,
sum(n19,n7) = n5,
inference(cnf_transformation,[],[f340]) ).
tcf(c_498,plain,
sum(n19,n8) = n6,
inference(cnf_transformation,[],[f339]) ).
tcf(c_499,plain,
sum(n19,n9) = n7,
inference(cnf_transformation,[],[f338]) ).
tcf(c_500,plain,
sum(n19,n10) = n8,
inference(cnf_transformation,[],[f337]) ).
tcf(c_501,plain,
sum(n19,n11) = n9,
inference(cnf_transformation,[],[f336]) ).
tcf(c_502,plain,
sum(n19,n12) = n10,
inference(cnf_transformation,[],[f335]) ).
tcf(c_503,plain,
sum(n19,n13) = n11,
inference(cnf_transformation,[],[f334]) ).
tcf(c_504,plain,
sum(n19,n14) = n12,
inference(cnf_transformation,[],[f333]) ).
tcf(c_505,plain,
sum(n19,n15) = n13,
inference(cnf_transformation,[],[f332]) ).
tcf(c_506,plain,
sum(n19,n16) = n14,
inference(cnf_transformation,[],[f331]) ).
tcf(c_507,plain,
sum(n19,n17) = n15,
inference(cnf_transformation,[],[f330]) ).
tcf(c_508,plain,
sum(n19,n18) = n16,
inference(cnf_transformation,[],[f329]) ).
tcf(c_509,plain,
sum(n19,n19) = n17,
inference(cnf_transformation,[],[f328]) ).
tcf(c_510,plain,
sum(n19,n20) = n18,
inference(cnf_transformation,[],[f327]) ).
tcf(c_511,plain,
sum(n20,n0) = n20,
inference(cnf_transformation,[],[f326]) ).
tcf(c_512,plain,
sum(n20,n1) = n0,
inference(cnf_transformation,[],[f325]) ).
tcf(c_513,plain,
sum(n20,n2) = n1,
inference(cnf_transformation,[],[f324]) ).
tcf(c_514,plain,
sum(n20,n3) = n2,
inference(cnf_transformation,[],[f323]) ).
tcf(c_515,plain,
sum(n20,n4) = n3,
inference(cnf_transformation,[],[f322]) ).
tcf(c_516,plain,
sum(n20,n5) = n4,
inference(cnf_transformation,[],[f321]) ).
tcf(c_517,plain,
sum(n20,n6) = n5,
inference(cnf_transformation,[],[f320]) ).
tcf(c_518,plain,
sum(n20,n7) = n6,
inference(cnf_transformation,[],[f319]) ).
tcf(c_519,plain,
sum(n20,n8) = n7,
inference(cnf_transformation,[],[f318]) ).
tcf(c_520,plain,
sum(n20,n9) = n8,
inference(cnf_transformation,[],[f317]) ).
tcf(c_521,plain,
sum(n20,n10) = n9,
inference(cnf_transformation,[],[f316]) ).
tcf(c_522,plain,
sum(n20,n11) = n10,
inference(cnf_transformation,[],[f315]) ).
tcf(c_523,plain,
sum(n20,n12) = n11,
inference(cnf_transformation,[],[f314]) ).
tcf(c_524,plain,
sum(n20,n13) = n12,
inference(cnf_transformation,[],[f313]) ).
tcf(c_525,plain,
sum(n20,n14) = n13,
inference(cnf_transformation,[],[f312]) ).
tcf(c_526,plain,
sum(n20,n15) = n14,
inference(cnf_transformation,[],[f311]) ).
tcf(c_527,plain,
sum(n20,n16) = n15,
inference(cnf_transformation,[],[f310]) ).
tcf(c_528,plain,
sum(n20,n17) = n16,
inference(cnf_transformation,[],[f309]) ).
tcf(c_529,plain,
sum(n20,n18) = n17,
inference(cnf_transformation,[],[f308]) ).
tcf(c_530,plain,
sum(n20,n19) = n18,
inference(cnf_transformation,[],[f307]) ).
tcf(c_531,plain,
sum(n20,n20) = n19,
inference(cnf_transformation,[],[f306]) ).
tcf(c_532,plain,
( ( n20 = sK0 )
| ( n19 = sK0 )
| ( n18 = sK0 )
| ( n17 = sK0 )
| ( n16 = sK0 )
| ( n15 = sK0 )
| ( n14 = sK0 )
| ( n13 = sK0 )
| ( n12 = sK0 )
| ( n11 = sK0 )
| ( n10 = sK0 )
| ( n9 = sK0 )
| ( n8 = sK0 )
| ( n7 = sK0 )
| ( n6 = sK0 )
| ( n5 = sK0 )
| ( n4 = sK0 )
| ( n3 = sK0 )
| ( n2 = sK0 )
| ( n1 = sK0 )
| ( n0 = sK0 ) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_533,plain,
( ( n20 = sK1 )
| ( n19 = sK1 )
| ( n18 = sK1 )
| ( n17 = sK1 )
| ( n16 = sK1 )
| ( n15 = sK1 )
| ( n14 = sK1 )
| ( n13 = sK1 )
| ( n12 = sK1 )
| ( n11 = sK1 )
| ( n10 = sK1 )
| ( n9 = sK1 )
| ( n8 = sK1 )
| ( n7 = sK1 )
| ( n6 = sK1 )
| ( n5 = sK1 )
| ( n4 = sK1 )
| ( n3 = sK1 )
| ( n2 = sK1 )
| ( n1 = sK1 )
| ( n0 = sK1 ) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_534,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0))))))))))))))))))))) = sK32,
inference(cnf_transformation,[],[f303]) ).
tcf(c_535,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0))))))))))))))))))))) = sK34,
inference(cnf_transformation,[],[f302]) ).
tcf(c_536,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))))))))))))) = sK33,
inference(cnf_transformation,[],[f301]) ).
tcf(c_537,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))))))))))))) = sK35,
inference(cnf_transformation,[],[f300]) ).
tcf(c_538,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2))))))))))))))))))))) = sK36,
inference(cnf_transformation,[],[f299]) ).
tcf(c_539,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2))))))))))))))))))))) = sK38,
inference(cnf_transformation,[],[f298]) ).
tcf(c_540,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))))))))))))) = sK37,
inference(cnf_transformation,[],[f297]) ).
tcf(c_541,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3))))))))))))))))))))) = sK39,
inference(cnf_transformation,[],[f296]) ).
tcf(c_542,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4))))))))))))))))))))) = sK40,
inference(cnf_transformation,[],[f295]) ).
tcf(c_543,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4))))))))))))))))))))) = sK42,
inference(cnf_transformation,[],[f294]) ).
tcf(c_544,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5))))))))))))))))))))) = sK41,
inference(cnf_transformation,[],[f293]) ).
tcf(c_545,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5))))))))))))))))))))) = sK43,
inference(cnf_transformation,[],[f292]) ).
tcf(c_546,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))))))))))))) = sK44,
inference(cnf_transformation,[],[f291]) ).
tcf(c_547,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6))))))))))))))))))))) = sK46,
inference(cnf_transformation,[],[f290]) ).
tcf(c_548,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7))))))))))))))))))))) = sK45,
inference(cnf_transformation,[],[f289]) ).
tcf(c_549,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7))))))))))))))))))))) = sK47,
inference(cnf_transformation,[],[f288]) ).
tcf(c_550,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))))))))))))) = sK48,
inference(cnf_transformation,[],[f287]) ).
tcf(c_551,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))))))))))))) = sK50,
inference(cnf_transformation,[],[f286]) ).
tcf(c_552,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9))))))))))))))))))))) = sK49,
inference(cnf_transformation,[],[f285]) ).
tcf(c_553,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9))))))))))))))))))))) = sK51,
inference(cnf_transformation,[],[f284]) ).
tcf(c_554,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10))))))))))))))))))))) = sK52,
inference(cnf_transformation,[],[f283]) ).
tcf(c_555,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10))))))))))))))))))))) = sK54,
inference(cnf_transformation,[],[f282]) ).
tcf(c_556,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11))))))))))))))))))))) = sK53,
inference(cnf_transformation,[],[f281]) ).
tcf(c_557,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11))))))))))))))))))))) = sK55,
inference(cnf_transformation,[],[f280]) ).
tcf(c_558,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12))))))))))))))))))))) = sK56,
inference(cnf_transformation,[],[f279]) ).
tcf(c_559,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12))))))))))))))))))))) = sK58,
inference(cnf_transformation,[],[f278]) ).
tcf(c_560,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))))))))))))) = sK57,
inference(cnf_transformation,[],[f277]) ).
tcf(c_561,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13))))))))))))))))))))) = sK59,
inference(cnf_transformation,[],[f276]) ).
tcf(c_562,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))))))))))))) = sK60,
inference(cnf_transformation,[],[f275]) ).
tcf(c_563,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))))))))))))) = sK62,
inference(cnf_transformation,[],[f274]) ).
tcf(c_564,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15))))))))))))))))))))) = sK61,
inference(cnf_transformation,[],[f273]) ).
tcf(c_565,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15))))))))))))))))))))) = sK63,
inference(cnf_transformation,[],[f272]) ).
tcf(c_566,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16))))))))))))))))))))) = sK64,
inference(cnf_transformation,[],[f271]) ).
tcf(c_567,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16))))))))))))))))))))) = sK66,
inference(cnf_transformation,[],[f270]) ).
tcf(c_568,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17))))))))))))))))))))) = sK65,
inference(cnf_transformation,[],[f269]) ).
tcf(c_569,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17))))))))))))))))))))) = sK67,
inference(cnf_transformation,[],[f268]) ).
tcf(c_570,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))))))))))))) = sK68,
inference(cnf_transformation,[],[f267]) ).
tcf(c_571,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))))))))))))) = sK70,
inference(cnf_transformation,[],[f266]) ).
tcf(c_572,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19))))))))))))))))))))) = sK69,
inference(cnf_transformation,[],[f265]) ).
tcf(c_573,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19))))))))))))))))))))) = sK71,
inference(cnf_transformation,[],[f264]) ).
tcf(c_574,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20))))))))))))))))))))) = sK72,
inference(cnf_transformation,[],[f263]) ).
tcf(c_575,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20))))))))))))))))))))) = sK74,
inference(cnf_transformation,[],[f262]) ).
tcf(c_576,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21))))))))))))))))))))) = sK73,
inference(cnf_transformation,[],[f261]) ).
tcf(c_577,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21))))))))))))))))))))) = sK75,
inference(cnf_transformation,[],[f260]) ).
tcf(c_578,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22))))))))))))))))))))) = sK76,
inference(cnf_transformation,[],[f259]) ).
tcf(c_579,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22))))))))))))))))))))) = sK78,
inference(cnf_transformation,[],[f258]) ).
tcf(c_580,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23))))))))))))))))))))) = sK77,
inference(cnf_transformation,[],[f257]) ).
tcf(c_581,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23))))))))))))))))))))) = sK79,
inference(cnf_transformation,[],[f256]) ).
tcf(c_582,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24))))))))))))))))))))) = sK80,
inference(cnf_transformation,[],[f255]) ).
tcf(c_583,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24))))))))))))))))))))) = sK82,
inference(cnf_transformation,[],[f254]) ).
tcf(c_584,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25))))))))))))))))))))) = sK81,
inference(cnf_transformation,[],[f253]) ).
tcf(c_585,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25))))))))))))))))))))) = sK83,
inference(cnf_transformation,[],[f252]) ).
tcf(c_586,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26))))))))))))))))))))) = sK84,
inference(cnf_transformation,[],[f251]) ).
tcf(c_587,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26))))))))))))))))))))) = sK86,
inference(cnf_transformation,[],[f250]) ).
tcf(c_588,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27))))))))))))))))))))) = sK85,
inference(cnf_transformation,[],[f249]) ).
tcf(c_589,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27))))))))))))))))))))) = sK87,
inference(cnf_transformation,[],[f248]) ).
tcf(c_590,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28))))))))))))))))))))) = sK88,
inference(cnf_transformation,[],[f247]) ).
tcf(c_591,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28))))))))))))))))))))) = sK90,
inference(cnf_transformation,[],[f246]) ).
tcf(c_592,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK29))))))))))))))))))))) = sK89,
inference(cnf_transformation,[],[f245]) ).
tcf(c_593,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK29))))))))))))))))))))) = sK91,
inference(cnf_transformation,[],[f244]) ).
tcf(c_594,plain,
sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) = sK2,
inference(cnf_transformation,[],[f243]) ).
tcf(c_595,plain,
sum(pred(sK34),sum(succ(sK32),sum(pred(sK35),succ(sK33)))) = sK3,
inference(cnf_transformation,[],[f242]) ).
tcf(c_596,plain,
sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))) = sK4,
inference(cnf_transformation,[],[f241]) ).
tcf(c_597,plain,
sum(pred(sK38),sum(succ(sK36),sum(pred(sK39),succ(sK37)))) = sK5,
inference(cnf_transformation,[],[f240]) ).
tcf(c_598,plain,
sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))) = sK6,
inference(cnf_transformation,[],[f239]) ).
tcf(c_599,plain,
sum(pred(sK42),sum(succ(sK40),sum(pred(sK43),succ(sK41)))) = sK7,
inference(cnf_transformation,[],[f238]) ).
tcf(c_600,plain,
sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))) = sK8,
inference(cnf_transformation,[],[f237]) ).
tcf(c_601,plain,
sum(pred(sK46),sum(succ(sK44),sum(pred(sK47),succ(sK45)))) = sK9,
inference(cnf_transformation,[],[f236]) ).
tcf(c_602,plain,
sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))) = sK10,
inference(cnf_transformation,[],[f235]) ).
tcf(c_603,plain,
sum(pred(sK50),sum(succ(sK48),sum(pred(sK51),succ(sK49)))) = sK11,
inference(cnf_transformation,[],[f234]) ).
tcf(c_604,plain,
sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))) = sK12,
inference(cnf_transformation,[],[f233]) ).
tcf(c_605,plain,
sum(pred(sK54),sum(succ(sK52),sum(pred(sK55),succ(sK53)))) = sK13,
inference(cnf_transformation,[],[f232]) ).
tcf(c_606,plain,
sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))) = sK14,
inference(cnf_transformation,[],[f231]) ).
tcf(c_607,plain,
sum(pred(sK58),sum(succ(sK56),sum(pred(sK59),succ(sK57)))) = sK15,
inference(cnf_transformation,[],[f230]) ).
tcf(c_608,plain,
sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))) = sK16,
inference(cnf_transformation,[],[f229]) ).
tcf(c_609,plain,
sum(pred(sK62),sum(succ(sK60),sum(pred(sK63),succ(sK61)))) = sK17,
inference(cnf_transformation,[],[f228]) ).
tcf(c_610,plain,
sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))) = sK18,
inference(cnf_transformation,[],[f227]) ).
tcf(c_611,plain,
sum(pred(sK66),sum(succ(sK64),sum(pred(sK67),succ(sK65)))) = sK19,
inference(cnf_transformation,[],[f226]) ).
tcf(c_612,plain,
sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))) = sK20,
inference(cnf_transformation,[],[f225]) ).
tcf(c_613,plain,
sum(pred(sK70),sum(succ(sK68),sum(pred(sK71),succ(sK69)))) = sK21,
inference(cnf_transformation,[],[f224]) ).
tcf(c_614,plain,
sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20))) = sK22,
inference(cnf_transformation,[],[f223]) ).
tcf(c_615,plain,
sum(pred(sK74),sum(succ(sK72),sum(pred(sK75),succ(sK73)))) = sK23,
inference(cnf_transformation,[],[f222]) ).
tcf(c_616,plain,
sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22))) = sK24,
inference(cnf_transformation,[],[f221]) ).
tcf(c_617,plain,
sum(pred(sK78),sum(succ(sK76),sum(pred(sK79),succ(sK77)))) = sK25,
inference(cnf_transformation,[],[f220]) ).
tcf(c_618,plain,
sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24))) = sK26,
inference(cnf_transformation,[],[f219]) ).
tcf(c_619,plain,
sum(pred(sK82),sum(succ(sK80),sum(pred(sK83),succ(sK81)))) = sK27,
inference(cnf_transformation,[],[f218]) ).
tcf(c_620,plain,
sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26))) = sK28,
inference(cnf_transformation,[],[f217]) ).
tcf(c_621,plain,
sum(pred(sK86),sum(succ(sK84),sum(pred(sK87),succ(sK85)))) = sK29,
inference(cnf_transformation,[],[f216]) ).
tcf(c_622,plain,
sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28))) = sK30,
inference(cnf_transformation,[],[f215]) ).
tcf(c_623,plain,
sum(pred(sK90),sum(succ(sK88),sum(pred(sK91),succ(sK89)))) = sK31,
inference(cnf_transformation,[],[f214]) ).
tcf(c_624,plain,
( ( sK30 != sK31 )
| ( sK28 != sK29 )
| ( sK26 != sK27 )
| ( sK24 != sK25 ) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_631,plain,
n0 != n7,
inference(cnf_transformation,[],[f206]) ).
tcf(c_644,plain,
n0 != n20,
inference(cnf_transformation,[],[f193]) ).
tcf(c_645,plain,
n1 != n2,
inference(cnf_transformation,[],[f192]) ).
tcf(c_648,plain,
n1 != n5,
inference(cnf_transformation,[],[f189]) ).
tcf(c_649,plain,
n1 != n6,
inference(cnf_transformation,[],[f188]) ).
tcf(c_650,plain,
n1 != n7,
inference(cnf_transformation,[],[f187]) ).
tcf(c_652,plain,
n1 != n9,
inference(cnf_transformation,[],[f185]) ).
tcf(c_653,plain,
n1 != n10,
inference(cnf_transformation,[],[f184]) ).
tcf(c_654,plain,
n1 != n11,
inference(cnf_transformation,[],[f183]) ).
tcf(c_655,plain,
n1 != n12,
inference(cnf_transformation,[],[f182]) ).
tcf(c_656,plain,
n1 != n13,
inference(cnf_transformation,[],[f181]) ).
tcf(c_660,plain,
n1 != n17,
inference(cnf_transformation,[],[f177]) ).
tcf(c_661,plain,
n1 != n18,
inference(cnf_transformation,[],[f176]) ).
tcf(c_662,plain,
n1 != n19,
inference(cnf_transformation,[],[f175]) ).
tcf(c_663,plain,
n1 != n20,
inference(cnf_transformation,[],[f174]) ).
tcf(c_666,plain,
n2 != n5,
inference(cnf_transformation,[],[f171]) ).
tcf(c_667,plain,
n2 != n6,
inference(cnf_transformation,[],[f170]) ).
tcf(c_668,plain,
n2 != n7,
inference(cnf_transformation,[],[f169]) ).
tcf(c_670,plain,
n2 != n9,
inference(cnf_transformation,[],[f167]) ).
tcf(c_671,plain,
n2 != n10,
inference(cnf_transformation,[],[f166]) ).
tcf(c_672,plain,
n2 != n11,
inference(cnf_transformation,[],[f165]) ).
tcf(c_673,plain,
n2 != n12,
inference(cnf_transformation,[],[f164]) ).
tcf(c_674,plain,
n2 != n13,
inference(cnf_transformation,[],[f163]) ).
tcf(c_675,plain,
n2 != n14,
inference(cnf_transformation,[],[f162]) ).
tcf(c_676,plain,
n2 != n15,
inference(cnf_transformation,[],[f161]) ).
tcf(c_678,plain,
n2 != n17,
inference(cnf_transformation,[],[f159]) ).
tcf(c_681,plain,
n2 != n20,
inference(cnf_transformation,[],[f156]) ).
tcf(c_682,plain,
n3 != n4,
inference(cnf_transformation,[],[f155]) ).
tcf(c_685,plain,
n3 != n7,
inference(cnf_transformation,[],[f152]) ).
tcf(c_687,plain,
n3 != n9,
inference(cnf_transformation,[],[f150]) ).
tcf(c_690,plain,
n3 != n12,
inference(cnf_transformation,[],[f147]) ).
tcf(c_693,plain,
n3 != n15,
inference(cnf_transformation,[],[f144]) ).
tcf(c_694,plain,
n3 != n16,
inference(cnf_transformation,[],[f143]) ).
tcf(c_695,plain,
n3 != n17,
inference(cnf_transformation,[],[f142]) ).
tcf(c_700,plain,
n4 != n6,
inference(cnf_transformation,[],[f137]) ).
tcf(c_701,plain,
n4 != n7,
inference(cnf_transformation,[],[f136]) ).
tcf(c_703,plain,
n4 != n9,
inference(cnf_transformation,[],[f134]) ).
tcf(c_704,plain,
n4 != n10,
inference(cnf_transformation,[],[f133]) ).
tcf(c_705,plain,
n4 != n11,
inference(cnf_transformation,[],[f132]) ).
tcf(c_706,plain,
n4 != n12,
inference(cnf_transformation,[],[f131]) ).
tcf(c_709,plain,
n4 != n15,
inference(cnf_transformation,[],[f128]) ).
tcf(c_710,plain,
n4 != n16,
inference(cnf_transformation,[],[f127]) ).
tcf(c_712,plain,
n4 != n18,
inference(cnf_transformation,[],[f125]) ).
tcf(c_716,plain,
n5 != n7,
inference(cnf_transformation,[],[f121]) ).
tcf(c_719,plain,
n5 != n10,
inference(cnf_transformation,[],[f118]) ).
tcf(c_720,plain,
n5 != n11,
inference(cnf_transformation,[],[f117]) ).
tcf(c_722,plain,
n5 != n13,
inference(cnf_transformation,[],[f115]) ).
tcf(c_724,plain,
n5 != n15,
inference(cnf_transformation,[],[f113]) ).
tcf(c_726,plain,
n5 != n17,
inference(cnf_transformation,[],[f111]) ).
tcf(c_727,plain,
n5 != n18,
inference(cnf_transformation,[],[f110]) ).
tcf(c_729,plain,
n5 != n20,
inference(cnf_transformation,[],[f108]) ).
tcf(c_730,plain,
n6 != n7,
inference(cnf_transformation,[],[f107]) ).
tcf(c_731,plain,
n6 != n8,
inference(cnf_transformation,[],[f106]) ).
tcf(c_734,plain,
n6 != n11,
inference(cnf_transformation,[],[f103]) ).
tcf(c_736,plain,
n6 != n13,
inference(cnf_transformation,[],[f101]) ).
tcf(c_737,plain,
n6 != n14,
inference(cnf_transformation,[],[f100]) ).
tcf(c_738,plain,
n6 != n15,
inference(cnf_transformation,[],[f99]) ).
tcf(c_742,plain,
n6 != n19,
inference(cnf_transformation,[],[f95]) ).
tcf(c_743,plain,
n6 != n20,
inference(cnf_transformation,[],[f94]) ).
tcf(c_745,plain,
n7 != n9,
inference(cnf_transformation,[],[f92]) ).
tcf(c_747,plain,
n7 != n11,
inference(cnf_transformation,[],[f90]) ).
tcf(c_748,plain,
n7 != n12,
inference(cnf_transformation,[],[f89]) ).
tcf(c_749,plain,
n7 != n13,
inference(cnf_transformation,[],[f88]) ).
tcf(c_750,plain,
n7 != n14,
inference(cnf_transformation,[],[f87]) ).
tcf(c_751,plain,
n7 != n15,
inference(cnf_transformation,[],[f86]) ).
tcf(c_752,plain,
n7 != n16,
inference(cnf_transformation,[],[f85]) ).
tcf(c_753,plain,
n7 != n17,
inference(cnf_transformation,[],[f84]) ).
tcf(c_754,plain,
n7 != n18,
inference(cnf_transformation,[],[f83]) ).
tcf(c_755,plain,
n7 != n19,
inference(cnf_transformation,[],[f82]) ).
tcf(c_756,plain,
n7 != n20,
inference(cnf_transformation,[],[f81]) ).
tcf(c_757,plain,
n8 != n9,
inference(cnf_transformation,[],[f80]) ).
tcf(c_759,plain,
n8 != n11,
inference(cnf_transformation,[],[f78]) ).
tcf(c_761,plain,
n8 != n13,
inference(cnf_transformation,[],[f76]) ).
tcf(c_765,plain,
n8 != n17,
inference(cnf_transformation,[],[f72]) ).
tcf(c_767,plain,
n8 != n19,
inference(cnf_transformation,[],[f70]) ).
tcf(c_768,plain,
n8 != n20,
inference(cnf_transformation,[],[f69]) ).
tcf(c_769,plain,
n9 != n10,
inference(cnf_transformation,[],[f68]) ).
tcf(c_770,plain,
n9 != n11,
inference(cnf_transformation,[],[f67]) ).
tcf(c_773,plain,
n9 != n14,
inference(cnf_transformation,[],[f64]) ).
tcf(c_774,plain,
n9 != n15,
inference(cnf_transformation,[],[f63]) ).
tcf(c_775,plain,
n9 != n16,
inference(cnf_transformation,[],[f62]) ).
tcf(c_776,plain,
n9 != n17,
inference(cnf_transformation,[],[f61]) ).
tcf(c_777,plain,
n9 != n18,
inference(cnf_transformation,[],[f60]) ).
tcf(c_779,plain,
n9 != n20,
inference(cnf_transformation,[],[f58]) ).
tcf(c_783,plain,
n10 != n14,
inference(cnf_transformation,[],[f54]) ).
tcf(c_789,plain,
n10 != n20,
inference(cnf_transformation,[],[f48]) ).
tcf(c_790,plain,
n11 != n12,
inference(cnf_transformation,[],[f47]) ).
tcf(c_791,plain,
n11 != n13,
inference(cnf_transformation,[],[f46]) ).
tcf(c_792,plain,
n11 != n14,
inference(cnf_transformation,[],[f45]) ).
tcf(c_794,plain,
n11 != n16,
inference(cnf_transformation,[],[f43]) ).
tcf(c_795,plain,
n11 != n17,
inference(cnf_transformation,[],[f42]) ).
tcf(c_796,plain,
n11 != n18,
inference(cnf_transformation,[],[f41]) ).
tcf(c_797,plain,
n11 != n19,
inference(cnf_transformation,[],[f40]) ).
tcf(c_798,plain,
n11 != n20,
inference(cnf_transformation,[],[f39]) ).
tcf(c_801,plain,
n12 != n15,
inference(cnf_transformation,[],[f36]) ).
tcf(c_804,plain,
n12 != n18,
inference(cnf_transformation,[],[f33]) ).
tcf(c_805,plain,
n12 != n19,
inference(cnf_transformation,[],[f32]) ).
tcf(c_807,plain,
n13 != n14,
inference(cnf_transformation,[],[f30]) ).
tcf(c_810,plain,
n13 != n17,
inference(cnf_transformation,[],[f27]) ).
tcf(c_812,plain,
n13 != n19,
inference(cnf_transformation,[],[f25]) ).
tcf(c_813,plain,
n13 != n20,
inference(cnf_transformation,[],[f24]) ).
tcf(c_816,plain,
n14 != n17,
inference(cnf_transformation,[],[f21]) ).
tcf(c_817,plain,
n14 != n18,
inference(cnf_transformation,[],[f20]) ).
tcf(c_819,plain,
n14 != n20,
inference(cnf_transformation,[],[f18]) ).
tcf(c_821,plain,
n15 != n17,
inference(cnf_transformation,[],[f16]) ).
tcf(c_823,plain,
n15 != n19,
inference(cnf_transformation,[],[f14]) ).
tcf(c_824,plain,
n15 != n20,
inference(cnf_transformation,[],[f13]) ).
tcf(c_825,plain,
n16 != n17,
inference(cnf_transformation,[],[f12]) ).
tcf(c_827,plain,
n16 != n19,
inference(cnf_transformation,[],[f10]) ).
tcf(c_829,plain,
n17 != n18,
inference(cnf_transformation,[],[f8]) ).
tcf(c_830,plain,
n17 != n19,
inference(cnf_transformation,[],[f7]) ).
tcf(c_831,plain,
n17 != n20,
inference(cnf_transformation,[],[f6]) ).
tcf(c_832,plain,
n18 != n19,
inference(cnf_transformation,[],[f5]) ).
tcf(c_833,plain,
n18 != n20,
inference(cnf_transformation,[],[f4]) ).
tcf(c_2498,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_833,c_832,c_831,c_830,c_829,c_827,c_825,c_824,c_823,c_821,c_819,c_817,c_816,c_813,c_812,c_810,c_807,c_805,c_804,c_801,c_798,c_797,c_796,c_795,c_794,c_792,c_791,c_790,c_789,c_783,c_779,c_777,c_776,c_775,c_774,c_773,c_770,c_769,c_768,c_767,c_765,c_761,c_759,c_757,c_756,c_755,c_754,c_753,c_752,c_751,c_750,c_749,c_748,c_747,c_745,c_743,c_742,c_738,c_737,c_736,c_734,c_731,c_730,c_729,c_727,c_726,c_724,c_722,c_720,c_719,c_716,c_712,c_710,c_709,c_706,c_705,c_704,c_703,c_701,c_700,c_695,c_694,c_693,c_690,c_687,c_685,c_682,c_681,c_678,c_676,c_675,c_674,c_673,c_672,c_671,c_670,c_668,c_667,c_666,c_663,c_662,c_661,c_660,c_656,c_655,c_654,c_653,c_652,c_650,c_649,c_648,c_645,c_644,c_631,c_624,c_623,c_622,c_621,c_620,c_619,c_618,c_617,c_616,c_615,c_614,c_613,c_612,c_611,c_610,c_609,c_608,c_607,c_606,c_605,c_604,c_603,c_602,c_601,c_600,c_599,c_598,c_597,c_596,c_595,c_594,c_593,c_592,c_591,c_590,c_589,c_588,c_587,c_586,c_585,c_584,c_583,c_582,c_581,c_580,c_579,c_578,c_577,c_576,c_575,c_574,c_573,c_572,c_571,c_570,c_569,c_568,c_567,c_566,c_565,c_564,c_563,c_562,c_561,c_560,c_559,c_558,c_557,c_556,c_555,c_554,c_553,c_552,c_551,c_550,c_549,c_548,c_547,c_546,c_545,c_544,c_543,c_542,c_541,c_540,c_539,c_538,c_537,c_536,c_535,c_534,c_533,c_532,c_531,c_530,c_529,c_528,c_527,c_526,c_525,c_524,c_523,c_522,c_521,c_520,c_519,c_518,c_517,c_516,c_515,c_514,c_513,c_512,c_511,c_510,c_509,c_508,c_507,c_506,c_505,c_504,c_503,c_502,c_501,c_500,c_499,c_498,c_497,c_496,c_495,c_494,c_493,c_492,c_491,c_490,c_489,c_488,c_487,c_486,c_485,c_484,c_483,c_482,c_481,c_480,c_479,c_478,c_477,c_476,c_475,c_474,c_473,c_472,c_471,c_470,c_469,c_468,c_467,c_466,c_465,c_464,c_463,c_462,c_461,c_460,c_459,c_458,c_457,c_456,c_455,c_454,c_453,c_452,c_451,c_450,c_449,c_448,c_447,c_446,c_445,c_444,c_443,c_442,c_441,c_440,c_439,c_438,c_437,c_436,c_435,c_434,c_433,c_432,c_431,c_430,c_429,c_428,c_427,c_426,c_425,c_424,c_423,c_422,c_421,c_420,c_419,c_418,c_417,c_416,c_415,c_414,c_413,c_412,c_411,c_410,c_409,c_408,c_407,c_406,c_405,c_404,c_403,c_402,c_401,c_400,c_399,c_398,c_397,c_396,c_395,c_394,c_393,c_392,c_391,c_390,c_389,c_388,c_387,c_386,c_385,c_384,c_383,c_382,c_381,c_380,c_379,c_378,c_377,c_376,c_375,c_374,c_373,c_372,c_371,c_370,c_369,c_368,c_367,c_366,c_365,c_364,c_363,c_362,c_361,c_360,c_359,c_358,c_357,c_356,c_355,c_354,c_353,c_352,c_351,c_350,c_349,c_348,c_347,c_346,c_345,c_344,c_343,c_342,c_341,c_340,c_339,c_338,c_337,c_336,c_335,c_334,c_333,c_332,c_331,c_330,c_329,c_328,c_327,c_326,c_325,c_324,c_323,c_322,c_321,c_320,c_319,c_318,c_317,c_316,c_315,c_314,c_313,c_312,c_311,c_310,c_309,c_308,c_307,c_306,c_305,c_304,c_303,c_302,c_301,c_300,c_299,c_298,c_297,c_296,c_295,c_294,c_293,c_292,c_291,c_290,c_289,c_288,c_287,c_286,c_285,c_284,c_283,c_282,c_281,c_280,c_279,c_278,c_277,c_276,c_275,c_274,c_273,c_272,c_271,c_270,c_269,c_268,c_267,c_266,c_265,c_264,c_263,c_262,c_261,c_260,c_259,c_258,c_257,c_256,c_255,c_254,c_253,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_217,c_216,c_215,c_214,c_213,c_212,c_211,c_210,c_209,c_208,c_207,c_206,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_161,c_160,c_159,c_158,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_139,c_138,c_137,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_91,c_90,c_89,c_88,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM378+1.020.015 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 03:51:23 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 29.75/5.23 % SZS status Started for theBenchmark.p
% 29.75/5.23 % SZS status Unsatisfiable for theBenchmark.p
% 29.75/5.23
% 29.75/5.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 29.75/5.23
% 29.75/5.23 % ------ iProver source info
% 29.75/5.23
% 29.75/5.23 % git: date: 2026-07-19 20:42:38 +0200
% 29.75/5.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 29.75/5.23 % git: non_committed_changes: false
% 29.75/5.23
% 29.75/5.23 % ------ Parsing...
% 29.75/5.23 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 29.75/5.23
% 29.75/5.23 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 29.75/5.23
% 29.75/5.23 % ------ Preprocessing...%
% 29.75/5.23
% 29.75/5.23 % SZS status Unsatisfiable for theBenchmark.p
% 29.75/5.23
% 29.75/5.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 29.75/5.25
% 29.75/5.25
%------------------------------------------------------------------------------