Termination proof

1: switching to dependency pairs

The following set of initial dependency pairs has been identified.

a____#( __( X , Y ) , Z ) → a____#( mark( X ) , a____( mark( Y ) , mark( Z ) ) )

a____#( __( X , Y ) , Z ) → mark#( X )

a____#( __( X , Y ) , Z ) → a____#( mark( Y ) , mark( Z ) )

a____#( __( X , Y ) , Z ) → mark#( Y )

a____#( __( X , Y ) , Z ) → mark#( Z )

a____#( X , nil ) → mark#( X )

a____#( nil , X ) → mark#( X )

a__U11#( tt , V ) → a__U12#( a__isPalListKind( V ) , V )

a__U11#( tt , V ) → a__isPalListKind#( V )

a__U12#( tt , V ) → a__U13#( a__isNeList( V ) )

a__U12#( tt , V ) → a__isNeList#( V )

a__U21#( tt , V1 , V2 ) → a__U22#( a__isPalListKind( V1 ) , V1 , V2 )

a__U21#( tt , V1 , V2 ) → a__isPalListKind#( V1 )

a__U22#( tt , V1 , V2 ) → a__U23#( a__isPalListKind( V2 ) , V1 , V2 )

a__U22#( tt , V1 , V2 ) → a__isPalListKind#( V2 )

a__U23#( tt , V1 , V2 ) → a__U24#( a__isPalListKind( V2 ) , V1 , V2 )

a__U23#( tt , V1 , V2 ) → a__isPalListKind#( V2 )

a__U24#( tt , V1 , V2 ) → a__U25#( a__isList( V1 ) , V2 )

a__U24#( tt , V1 , V2 ) → a__isList#( V1 )

a__U25#( tt , V2 ) → a__U26#( a__isList( V2 ) )

a__U25#( tt , V2 ) → a__isList#( V2 )

a__U31#( tt , V ) → a__U32#( a__isPalListKind( V ) , V )

a__U31#( tt , V ) → a__isPalListKind#( V )

a__U32#( tt , V ) → a__U33#( a__isQid( V ) )

a__U32#( tt , V ) → a__isQid#( V )

a__U41#( tt , V1 , V2 ) → a__U42#( a__isPalListKind( V1 ) , V1 , V2 )

a__U41#( tt , V1 , V2 ) → a__isPalListKind#( V1 )

a__U42#( tt , V1 , V2 ) → a__U43#( a__isPalListKind( V2 ) , V1 , V2 )

a__U42#( tt , V1 , V2 ) → a__isPalListKind#( V2 )

a__U43#( tt , V1 , V2 ) → a__U44#( a__isPalListKind( V2 ) , V1 , V2 )

a__U43#( tt , V1 , V2 ) → a__isPalListKind#( V2 )

a__U44#( tt , V1 , V2 ) → a__U45#( a__isList( V1 ) , V2 )

a__U44#( tt , V1 , V2 ) → a__isList#( V1 )

a__U45#( tt , V2 ) → a__U46#( a__isNeList( V2 ) )

a__U45#( tt , V2 ) → a__isNeList#( V2 )

a__U51#( tt , V1 , V2 ) → a__U52#( a__isPalListKind( V1 ) , V1 , V2 )

a__U51#( tt , V1 , V2 ) → a__isPalListKind#( V1 )

a__U52#( tt , V1 , V2 ) → a__U53#( a__isPalListKind( V2 ) , V1 , V2 )

a__U52#( tt , V1 , V2 ) → a__isPalListKind#( V2 )

a__U53#( tt , V1 , V2 ) → a__U54#( a__isPalListKind( V2 ) , V1 , V2 )

a__U53#( tt , V1 , V2 ) → a__isPalListKind#( V2 )

a__U54#( tt , V1 , V2 ) → a__U55#( a__isNeList( V1 ) , V2 )

a__U54#( tt , V1 , V2 ) → a__isNeList#( V1 )

a__U55#( tt , V2 ) → a__U56#( a__isList( V2 ) )

a__U55#( tt , V2 ) → a__isList#( V2 )

a__U61#( tt , V ) → a__U62#( a__isPalListKind( V ) , V )

a__U61#( tt , V ) → a__isPalListKind#( V )

a__U62#( tt , V ) → a__U63#( a__isQid( V ) )

a__U62#( tt , V ) → a__isQid#( V )

a__U71#( tt , I , P ) → a__U72#( a__isPalListKind( I ) , P )

a__U71#( tt , I , P ) → a__isPalListKind#( I )

a__U72#( tt , P ) → a__U73#( a__isPal( P ) , P )

a__U72#( tt , P ) → a__isPal#( P )

a__U73#( tt , P ) → a__U74#( a__isPalListKind( P ) )

a__U73#( tt , P ) → a__isPalListKind#( P )

a__U81#( tt , V ) → a__U82#( a__isPalListKind( V ) , V )

a__U81#( tt , V ) → a__isPalListKind#( V )

a__U82#( tt , V ) → a__U83#( a__isNePal( V ) )

a__U82#( tt , V ) → a__isNePal#( V )

a__U91#( tt , V2 ) → a__U92#( a__isPalListKind( V2 ) )

a__U91#( tt , V2 ) → a__isPalListKind#( V2 )

a__isList#( V ) → a__U11#( a__isPalListKind( V ) , V )

a__isList#( V ) → a__isPalListKind#( V )

a__isList#( __( V1 , V2 ) ) → a__U21#( a__isPalListKind( V1 ) , V1 , V2 )

a__isList#( __( V1 , V2 ) ) → a__isPalListKind#( V1 )

a__isNeList#( V ) → a__U31#( a__isPalListKind( V ) , V )

a__isNeList#( V ) → a__isPalListKind#( V )

a__isNeList#( __( V1 , V2 ) ) → a__U41#( a__isPalListKind( V1 ) , V1 , V2 )

a__isNeList#( __( V1 , V2 ) ) → a__isPalListKind#( V1 )

a__isNeList#( __( V1 , V2 ) ) → a__U51#( a__isPalListKind( V1 ) , V1 , V2 )

a__isNeList#( __( V1 , V2 ) ) → a__isPalListKind#( V1 )

a__isNePal#( V ) → a__U61#( a__isPalListKind( V ) , V )

a__isNePal#( V ) → a__isPalListKind#( V )

a__isNePal#( __( I , __( P , I ) ) ) → a__U71#( a__isQid( I ) , I , P )

a__isNePal#( __( I , __( P , I ) ) ) → a__isQid#( I )

a__isPal#( V ) → a__U81#( a__isPalListKind( V ) , V )

a__isPal#( V ) → a__isPalListKind#( V )

a__isPalListKind#( __( V1 , V2 ) ) → a__U91#( a__isPalListKind( V1 ) , V2 )

a__isPalListKind#( __( V1 , V2 ) ) → a__isPalListKind#( V1 )

mark#( __( X1 , X2 ) ) → a____#( mark( X1 ) , mark( X2 ) )

mark#( __( X1 , X2 ) ) → mark#( X1 )

mark#( __( X1 , X2 ) ) → mark#( X2 )

mark#( U11( X1 , X2 ) ) → a__U11#( mark( X1 ) , X2 )

mark#( U11( X1 , X2 ) ) → mark#( X1 )

mark#( U12( X1 , X2 ) ) → a__U12#( mark( X1 ) , X2 )

mark#( U12( X1 , X2 ) ) → mark#( X1 )

mark#( isPalListKind( X ) ) → a__isPalListKind#( X )

mark#( U13( X ) ) → a__U13#( mark( X ) )

mark#( U13( X ) ) → mark#( X )

mark#( isNeList( X ) ) → a__isNeList#( X )

mark#( U21( X1 , X2 , X3 ) ) → a__U21#( mark( X1 ) , X2 , X3 )

mark#( U21( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U22( X1 , X2 , X3 ) ) → a__U22#( mark( X1 ) , X2 , X3 )

mark#( U22( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U23( X1 , X2 , X3 ) ) → a__U23#( mark( X1 ) , X2 , X3 )

mark#( U23( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U24( X1 , X2 , X3 ) ) → a__U24#( mark( X1 ) , X2 , X3 )

mark#( U24( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U25( X1 , X2 ) ) → a__U25#( mark( X1 ) , X2 )

mark#( U25( X1 , X2 ) ) → mark#( X1 )

mark#( isList( X ) ) → a__isList#( X )

mark#( U26( X ) ) → a__U26#( mark( X ) )

mark#( U26( X ) ) → mark#( X )

mark#( U31( X1 , X2 ) ) → a__U31#( mark( X1 ) , X2 )

mark#( U31( X1 , X2 ) ) → mark#( X1 )

mark#( U32( X1 , X2 ) ) → a__U32#( mark( X1 ) , X2 )

mark#( U32( X1 , X2 ) ) → mark#( X1 )

mark#( U33( X ) ) → a__U33#( mark( X ) )

mark#( U33( X ) ) → mark#( X )

mark#( isQid( X ) ) → a__isQid#( X )

mark#( U41( X1 , X2 , X3 ) ) → a__U41#( mark( X1 ) , X2 , X3 )

mark#( U41( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U42( X1 , X2 , X3 ) ) → a__U42#( mark( X1 ) , X2 , X3 )

mark#( U42( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U43( X1 , X2 , X3 ) ) → a__U43#( mark( X1 ) , X2 , X3 )

mark#( U43( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U44( X1 , X2 , X3 ) ) → a__U44#( mark( X1 ) , X2 , X3 )

mark#( U44( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U45( X1 , X2 ) ) → a__U45#( mark( X1 ) , X2 )

mark#( U45( X1 , X2 ) ) → mark#( X1 )

mark#( U46( X ) ) → a__U46#( mark( X ) )

mark#( U46( X ) ) → mark#( X )

mark#( U51( X1 , X2 , X3 ) ) → a__U51#( mark( X1 ) , X2 , X3 )

mark#( U51( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U52( X1 , X2 , X3 ) ) → a__U52#( mark( X1 ) , X2 , X3 )

mark#( U52( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U53( X1 , X2 , X3 ) ) → a__U53#( mark( X1 ) , X2 , X3 )

mark#( U53( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U54( X1 , X2 , X3 ) ) → a__U54#( mark( X1 ) , X2 , X3 )

mark#( U54( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U55( X1 , X2 ) ) → a__U55#( mark( X1 ) , X2 )

mark#( U55( X1 , X2 ) ) → mark#( X1 )

mark#( U56( X ) ) → a__U56#( mark( X ) )

mark#( U56( X ) ) → mark#( X )

mark#( U61( X1 , X2 ) ) → a__U61#( mark( X1 ) , X2 )

mark#( U61( X1 , X2 ) ) → mark#( X1 )

mark#( U62( X1 , X2 ) ) → a__U62#( mark( X1 ) , X2 )

mark#( U62( X1 , X2 ) ) → mark#( X1 )

mark#( U63( X ) ) → a__U63#( mark( X ) )

mark#( U63( X ) ) → mark#( X )

mark#( U71( X1 , X2 , X3 ) ) → a__U71#( mark( X1 ) , X2 , X3 )

mark#( U71( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U72( X1 , X2 ) ) → a__U72#( mark( X1 ) , X2 )

mark#( U72( X1 , X2 ) ) → mark#( X1 )

mark#( U73( X1 , X2 ) ) → a__U73#( mark( X1 ) , X2 )

mark#( U73( X1 , X2 ) ) → mark#( X1 )

mark#( isPal( X ) ) → a__isPal#( X )

mark#( U74( X ) ) → a__U74#( mark( X ) )

mark#( U74( X ) ) → mark#( X )

mark#( U81( X1 , X2 ) ) → a__U81#( mark( X1 ) , X2 )

mark#( U81( X1 , X2 ) ) → mark#( X1 )

mark#( U82( X1 , X2 ) ) → a__U82#( mark( X1 ) , X2 )

mark#( U82( X1 , X2 ) ) → mark#( X1 )

mark#( U83( X ) ) → a__U83#( mark( X ) )

mark#( U83( X ) ) → mark#( X )

mark#( isNePal( X ) ) → a__isNePal#( X )

mark#( U91( X1 , X2 ) ) → a__U91#( mark( X1 ) , X2 )

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → a__U92#( mark( X ) )

mark#( U92( X ) ) → mark#( X )

1.1: dependency graph processor

The dependency pairs are split into 4 component(s).

The 1st component contains the pair(s)

a____#( __( X , Y ) , Z ) → mark#( X )

mark#( __( X1 , X2 ) ) → a____#( mark( X1 ) , mark( X2 ) )

a____#( __( X , Y ) , Z ) → a____#( mark( X ) , a____( mark( Y ) , mark( Z ) ) )

a____#( __( X , Y ) , Z ) → a____#( mark( Y ) , mark( Z ) )

a____#( __( X , Y ) , Z ) → mark#( Y )

mark#( __( X1 , X2 ) ) → mark#( X1 )

mark#( __( X1 , X2 ) ) → mark#( X2 )

mark#( U11( X1 , X2 ) ) → mark#( X1 )

mark#( U12( X1 , X2 ) ) → mark#( X1 )

mark#( U13( X ) ) → mark#( X )

mark#( U21( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U22( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U23( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U24( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U25( X1 , X2 ) ) → mark#( X1 )

mark#( U26( X ) ) → mark#( X )

mark#( U31( X1 , X2 ) ) → mark#( X1 )

mark#( U32( X1 , X2 ) ) → mark#( X1 )

mark#( U33( X ) ) → mark#( X )

mark#( U41( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U42( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U43( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U44( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U45( X1 , X2 ) ) → mark#( X1 )

mark#( U46( X ) ) → mark#( X )

mark#( U51( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U52( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U53( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U54( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U55( X1 , X2 ) ) → mark#( X1 )

mark#( U56( X ) ) → mark#( X )

mark#( U61( X1 , X2 ) ) → mark#( X1 )

mark#( U62( X1 , X2 ) ) → mark#( X1 )

mark#( U63( X ) ) → mark#( X )

mark#( U71( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U72( X1 , X2 ) ) → mark#( X1 )

mark#( U73( X1 , X2 ) ) → mark#( X1 )

mark#( U74( X ) ) → mark#( X )

mark#( U81( X1 , X2 ) ) → mark#( X1 )

mark#( U82( X1 , X2 ) ) → mark#( X1 )

mark#( U83( X ) ) → mark#( X )

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → mark#( X )

a____#( __( X , Y ) , Z ) → mark#( Z )

a____#( X , nil ) → mark#( X )

a____#( nil , X ) → mark#( X )

1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 2 x₁

[a__U54 (x₁, x₂, x₃) ] = x₁

[a] = 0

[__ (x₁, x₂) ] = 2 x₁ + x₂ + 1

[isNePal (x₁) ] = 0

[U25 (x₁, x₂) ] = 2 x₁

[U21 (x₁, x₂, x₃) ] = x₁

[U12 (x₁, x₂) ] = 2 x₁

[U41 (x₁, x₂, x₃) ] = x₁

[i] = 0

[a__U83 (x₁) ] = 2 x₁

[U61 (x₁, x₂) ] = x₁

[U33 (x₁) ] = x₁

[U31 (x₁, x₂) ] = x₁

[isNeList (x₁) ] = 0

[U45 (x₁, x₂) ] = x₁

[a__isPal (x₁) ] = 0

[a__U74 (x₁) ] = 2 x₁

[a__U91 (x₁, x₂) ] = x₁

[isPal (x₁) ] = 0

[U23 (x₁, x₂, x₃) ] = x₁

[a__U71 (x₁, x₂, x₃) ] = 2 x₁

[a__U44 (x₁, x₂, x₃) ] = x₁

[a____# (x₁, x₂) ] = 2 x₁ + x₂ + 2

[a__U45 (x₁, x₂) ] = x₁

[a__U55 (x₁, x₂) ] = 2 x₁

[a__U81 (x₁, x₂) ] = x₁

[U71 (x₁, x₂, x₃) ] = 2 x₁

[a__U53 (x₁, x₂, x₃) ] = x₁

[a__U32 (x₁, x₂) ] = 2 x₁

[a__U25 (x₁, x₂) ] = 2 x₁

[mark# (x₁) ] = x₁ + 2

[U73 (x₁, x₂) ] = 2 x₁

[tt] = 0

[o] = 0

[e] = 0

[a__U21 (x₁, x₂, x₃) ] = x₁

[a__U92 (x₁) ] = x₁

[a__isNePal (x₁) ] = 0

[U51 (x₁, x₂, x₃) ] = 2 x₁

[a__U26 (x₁) ] = x₁

[U74 (x₁) ] = 2 x₁

[a__U41 (x₁, x₂, x₃) ] = x₁

[a__U23 (x₁, x₂, x₃) ] = x₁

[a__isQid (x₁) ] = 0

[U63 (x₁) ] = x₁

[a____ (x₁, x₂) ] = 2 x₁ + x₂ + 1

[U13 (x₁) ] = x₁

[a__U13 (x₁) ] = x₁

[a__U33 (x₁) ] = x₁

[U52 (x₁, x₂, x₃) ] = x₁

[U55 (x₁, x₂) ] = 2 x₁

[U32 (x₁, x₂) ] = 2 x₁

[U91 (x₁, x₂) ] = x₁

[a__U72 (x₁, x₂) ] = 2 x₁

[a__U31 (x₁, x₂) ] = x₁

[u] = 0

[U56 (x₁) ] = 2 x₁

[a__U63 (x₁) ] = x₁

[a__U46 (x₁) ] = x₁

[a__U52 (x₁, x₂, x₃) ] = x₁

[a__U61 (x₁, x₂) ] = x₁

[U43 (x₁, x₂, x₃) ] = x₁

[U44 (x₁, x₂, x₃) ] = x₁

[U42 (x₁, x₂, x₃) ] = 2 x₁

[a__U82 (x₁, x₂) ] = 2 x₁

[isList (x₁) ] = 0

[U92 (x₁) ] = x₁

[U53 (x₁, x₂, x₃) ] = x₁

[U24 (x₁, x₂, x₃) ] = 2 x₁

[a__U11 (x₁, x₂) ] = x₁

[mark (x₁) ] = x₁

[U46 (x₁) ] = x₁

[U62 (x₁, x₂) ] = x₁

[a__U22 (x₁, x₂, x₃) ] = 2 x₁

[a__isPalListKind (x₁) ] = 0

[a__U12 (x₁, x₂) ] = 2 x₁

[nil] = 0

[a__isNeList (x₁) ] = 0

[a__U51 (x₁, x₂, x₃) ] = 2 x₁

[isPalListKind (x₁) ] = 0

[U11 (x₁, x₂) ] = x₁

[U26 (x₁) ] = x₁

[U81 (x₁, x₂) ] = x₁

[a__U56 (x₁) ] = 2 x₁

[isQid (x₁) ] = 0

[a__isList (x₁) ] = 0

[U54 (x₁, x₂, x₃) ] = x₁

[a__U73 (x₁, x₂) ] = 2 x₁

[a__U43 (x₁, x₂, x₃) ] = x₁

[U82 (x₁, x₂) ] = 2 x₁

[a__U42 (x₁, x₂, x₃) ] = 2 x₁

[a__U62 (x₁, x₂) ] = x₁

[U83 (x₁) ] = 2 x₁

[U22 (x₁, x₂, x₃) ] = 2 x₁

[a__U24 (x₁, x₂, x₃) ] = 2 x₁

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

mark#( U11( X1 , X2 ) ) → mark#( X1 )

mark#( U12( X1 , X2 ) ) → mark#( X1 )

mark#( U13( X ) ) → mark#( X )

mark#( U21( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U22( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U23( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U24( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U25( X1 , X2 ) ) → mark#( X1 )

mark#( U26( X ) ) → mark#( X )

mark#( U31( X1 , X2 ) ) → mark#( X1 )

mark#( U32( X1 , X2 ) ) → mark#( X1 )

mark#( U33( X ) ) → mark#( X )

mark#( U41( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U42( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U43( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U44( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U45( X1 , X2 ) ) → mark#( X1 )

mark#( U46( X ) ) → mark#( X )

mark#( U51( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U52( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U53( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U54( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U55( X1 , X2 ) ) → mark#( X1 )

mark#( U56( X ) ) → mark#( X )

mark#( U61( X1 , X2 ) ) → mark#( X1 )

mark#( U62( X1 , X2 ) ) → mark#( X1 )

mark#( U63( X ) ) → mark#( X )

mark#( U71( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U72( X1 , X2 ) ) → mark#( X1 )

mark#( U73( X1 , X2 ) ) → mark#( X1 )

mark#( U74( X ) ) → mark#( X )

mark#( U81( X1 , X2 ) ) → mark#( X1 )

mark#( U82( X1 , X2 ) ) → mark#( X1 )

mark#( U83( X ) ) → mark#( X )

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → mark#( X )

a____#( X , nil ) → mark#( X )

a____#( nil , X ) → mark#( X )

1.1.1.1: dependency graph processor

The dependency pairs are split into 1 component(s).

The 1st component contains the pair(s)

mark#( U12( X1 , X2 ) ) → mark#( X1 )

mark#( U11( X1 , X2 ) ) → mark#( X1 )

mark#( U13( X ) ) → mark#( X )

mark#( U21( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U22( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U23( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U24( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U25( X1 , X2 ) ) → mark#( X1 )

mark#( U26( X ) ) → mark#( X )

mark#( U31( X1 , X2 ) ) → mark#( X1 )

mark#( U32( X1 , X2 ) ) → mark#( X1 )

mark#( U33( X ) ) → mark#( X )

mark#( U41( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U42( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U43( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U44( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U45( X1 , X2 ) ) → mark#( X1 )

mark#( U46( X ) ) → mark#( X )

mark#( U51( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U52( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U53( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U54( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U55( X1 , X2 ) ) → mark#( X1 )

mark#( U56( X ) ) → mark#( X )

mark#( U61( X1 , X2 ) ) → mark#( X1 )

mark#( U62( X1 , X2 ) ) → mark#( X1 )

mark#( U63( X ) ) → mark#( X )

mark#( U71( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U72( X1 , X2 ) ) → mark#( X1 )

mark#( U73( X1 , X2 ) ) → mark#( X1 )

mark#( U74( X ) ) → mark#( X )

mark#( U81( X1 , X2 ) ) → mark#( X1 )

mark#( U82( X1 , X2 ) ) → mark#( X1 )

mark#( U83( X ) ) → mark#( X )

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → mark#( X )

1.1.1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 2 x₁ + 2

[a__U54 (x₁, x₂, x₃) ] = x₁

[a] = 0

[__ (x₁, x₂) ] = 2 x₁ + x₂

[isNePal (x₁) ] = 2

[U25 (x₁, x₂) ] = 2 x₁

[U21 (x₁, x₂, x₃) ] = x₁

[U12 (x₁, x₂) ] = 2 x₁

[U41 (x₁, x₂, x₃) ] = 2 x₁

[i] = 0

[a__U83 (x₁) ] = x₁

[U61 (x₁, x₂) ] = x₁ + 1

[U31 (x₁, x₂) ] = 2 x₁

[U33 (x₁) ] = x₁

[isNeList (x₁) ] = 0

[U45 (x₁, x₂) ] = 2 x₁

[a__isPal (x₁) ] = 2

[a__U74 (x₁) ] = x₁

[a__U91 (x₁, x₂) ] = x₁

[isPal (x₁) ] = 2

[U23 (x₁, x₂, x₃) ] = x₁

[a__U71 (x₁, x₂, x₃) ] = 2 x₁ + 2

[a__U44 (x₁, x₂, x₃) ] = x₁

[a__U45 (x₁, x₂) ] = 2 x₁

[a__U55 (x₁, x₂) ] = x₁

[a__U81 (x₁, x₂) ] = x₁ + 2

[U71 (x₁, x₂, x₃) ] = 2 x₁ + 2

[a__U53 (x₁, x₂, x₃) ] = 2 x₁

[a__U32 (x₁, x₂) ] = 2 x₁

[a__U25 (x₁, x₂) ] = 2 x₁

[mark# (x₁) ] = x₁

[U73 (x₁, x₂) ] = x₁

[tt] = 0

[o] = 0

[e] = 1

[a__U21 (x₁, x₂, x₃) ] = x₁

[a__U92 (x₁) ] = x₁

[a__isNePal (x₁) ] = 2

[U51 (x₁, x₂, x₃) ] = 2 x₁

[a__U26 (x₁) ] = x₁

[U74 (x₁) ] = x₁

[a__U41 (x₁, x₂, x₃) ] = 2 x₁

[a__U23 (x₁, x₂, x₃) ] = x₁

[a__isQid (x₁) ] = 0

[U63 (x₁) ] = x₁ + 1

[U13 (x₁) ] = 2 x₁

[a____ (x₁, x₂) ] = 2 x₁ + x₂

[a__U33 (x₁) ] = x₁

[a__U13 (x₁) ] = 2 x₁

[U52 (x₁, x₂, x₃) ] = x₁

[U55 (x₁, x₂) ] = x₁

[U32 (x₁, x₂) ] = 2 x₁

[U91 (x₁, x₂) ] = x₁

[a__U72 (x₁, x₂) ] = 2 x₁ + 2

[a__U31 (x₁, x₂) ] = 2 x₁

[u] = 0

[U56 (x₁) ] = 2 x₁

[a__U63 (x₁) ] = x₁ + 1

[a__U46 (x₁) ] = 2 x₁

[a__U52 (x₁, x₂, x₃) ] = x₁

[a__U61 (x₁, x₂) ] = x₁ + 1

[U43 (x₁, x₂, x₃) ] = 2 x₁

[U44 (x₁, x₂, x₃) ] = x₁

[U42 (x₁, x₂, x₃) ] = x₁

[a__U82 (x₁, x₂) ] = 2 x₁ + 2

[isList (x₁) ] = 0

[U92 (x₁) ] = x₁

[U24 (x₁, x₂, x₃) ] = x₁

[U53 (x₁, x₂, x₃) ] = 2 x₁

[a__U11 (x₁, x₂) ] = 2 x₁

[mark (x₁) ] = x₁

[U46 (x₁) ] = 2 x₁

[a__U22 (x₁, x₂, x₃) ] = 2 x₁

[U62 (x₁, x₂) ] = 2 x₁ + 1

[a__isPalListKind (x₁) ] = 0

[a__U12 (x₁, x₂) ] = 2 x₁

[nil] = 2

[a__isNeList (x₁) ] = 0

[a__U51 (x₁, x₂, x₃) ] = 2 x₁

[isPalListKind (x₁) ] = 0

[U26 (x₁) ] = x₁

[U11 (x₁, x₂) ] = 2 x₁

[U81 (x₁, x₂) ] = x₁ + 2

[a__U56 (x₁) ] = 2 x₁

[isQid (x₁) ] = 0

[a__isList (x₁) ] = 0

[U54 (x₁, x₂, x₃) ] = x₁

[a__U73 (x₁, x₂) ] = x₁

[a__U43 (x₁, x₂, x₃) ] = 2 x₁

[U82 (x₁, x₂) ] = 2 x₁ + 2

[a__U42 (x₁, x₂, x₃) ] = x₁

[a__U62 (x₁, x₂) ] = 2 x₁ + 1

[U83 (x₁) ] = x₁

[U22 (x₁, x₂, x₃) ] = 2 x₁

[a__U24 (x₁, x₂, x₃) ] = x₁

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

mark#( U12( X1 , X2 ) ) → mark#( X1 )

mark#( U11( X1 , X2 ) ) → mark#( X1 )

mark#( U13( X ) ) → mark#( X )

mark#( U21( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U22( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U23( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U24( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U25( X1 , X2 ) ) → mark#( X1 )

mark#( U26( X ) ) → mark#( X )

mark#( U31( X1 , X2 ) ) → mark#( X1 )

mark#( U32( X1 , X2 ) ) → mark#( X1 )

mark#( U33( X ) ) → mark#( X )

mark#( U41( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U42( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U43( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U44( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U45( X1 , X2 ) ) → mark#( X1 )

mark#( U46( X ) ) → mark#( X )

mark#( U51( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U52( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U53( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U54( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U55( X1 , X2 ) ) → mark#( X1 )

mark#( U56( X ) ) → mark#( X )

mark#( U73( X1 , X2 ) ) → mark#( X1 )

mark#( U74( X ) ) → mark#( X )

mark#( U83( X ) ) → mark#( X )

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → mark#( X )

1.1.1.1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 3 x₁ + 1

[a__U54 (x₁, x₂, x₃) ] = 2 x₁

[a] = 0

[__ (x₁, x₂) ] = 3 x₁ + x₂ + 1

[isNePal (x₁) ] = x₁

[U25 (x₁, x₂) ] = 2 x₁

[U21 (x₁, x₂, x₃) ] = x₁

[U12 (x₁, x₂) ] = x₁

[U41 (x₁, x₂, x₃) ] = x₁

[i] = 1

[a__U83 (x₁) ] = x₁

[U33 (x₁) ] = x₁

[U61 (x₁, x₂) ] = 3 x₁

[U31 (x₁, x₂) ] = x₁

[isNeList (x₁) ] = 0

[U45 (x₁, x₂) ] = x₁

[a__isPal (x₁) ] = x₁

[a__U74 (x₁) ] = 2 x₁ + 1

[a__U91 (x₁, x₂) ] = x₁

[isPal (x₁) ] = x₁

[U23 (x₁, x₂, x₃) ] = 2 x₁

[a__U71 (x₁, x₂, x₃) ] = 3 x₁ + 1

[a__U44 (x₁, x₂, x₃) ] = 2 x₁

[a__U45 (x₁, x₂) ] = x₁

[a__U55 (x₁, x₂) ] = x₁

[a__U81 (x₁, x₂) ] = x₁

[U71 (x₁, x₂, x₃) ] = 3 x₁ + 1

[a__U53 (x₁, x₂, x₃) ] = 2 x₁

[a__U25 (x₁, x₂) ] = 2 x₁

[a__U32 (x₁, x₂) ] = x₁

[mark# (x₁) ] = 2 x₁

[U73 (x₁, x₂) ] = 2 x₁ + 1

[tt] = 0

[o] = 0

[e] = 0

[a__U21 (x₁, x₂, x₃) ] = x₁

[a__U92 (x₁) ] = 2 x₁

[a__isNePal (x₁) ] = x₁

[U51 (x₁, x₂, x₃) ] = 2 x₁

[a__U26 (x₁) ] = 2 x₁

[U74 (x₁) ] = 2 x₁ + 1

[a__U41 (x₁, x₂, x₃) ] = x₁

[a__U23 (x₁, x₂, x₃) ] = 2 x₁

[U63 (x₁) ] = 0

[a__isQid (x₁) ] = 0

[U13 (x₁) ] = 2 x₁

[a____ (x₁, x₂) ] = 3 x₁ + x₂ + 1

[a__U33 (x₁) ] = x₁

[a__U13 (x₁) ] = 2 x₁

[U52 (x₁, x₂, x₃) ] = 2 x₁

[U55 (x₁, x₂) ] = x₁

[U32 (x₁, x₂) ] = x₁

[U91 (x₁, x₂) ] = x₁

[a__U72 (x₁, x₂) ] = 3 x₁ + 1

[a__U31 (x₁, x₂) ] = x₁

[u] = 1

[U56 (x₁) ] = 2 x₁

[a__U63 (x₁) ] = 0

[a__U46 (x₁) ] = x₁

[a__U52 (x₁, x₂, x₃) ] = 2 x₁

[a__U61 (x₁, x₂) ] = 3 x₁

[U43 (x₁, x₂, x₃) ] = 2 x₁

[U44 (x₁, x₂, x₃) ] = 2 x₁

[U42 (x₁, x₂, x₃) ] = 2 x₁

[a__U82 (x₁, x₂) ] = x₁

[isList (x₁) ] = 0

[U92 (x₁) ] = 2 x₁

[U24 (x₁, x₂, x₃) ] = 2 x₁

[U53 (x₁, x₂, x₃) ] = 2 x₁

[a__U11 (x₁, x₂) ] = x₁

[mark (x₁) ] = x₁

[U46 (x₁) ] = x₁

[a__U22 (x₁, x₂, x₃) ] = 2 x₁

[U62 (x₁, x₂) ] = 0

[a__isPalListKind (x₁) ] = 0

[a__U12 (x₁, x₂) ] = x₁

[nil] = 0

[a__isNeList (x₁) ] = 0

[a__U51 (x₁, x₂, x₃) ] = 2 x₁

[isPalListKind (x₁) ] = 0

[U26 (x₁) ] = 2 x₁

[U11 (x₁, x₂) ] = x₁

[U81 (x₁, x₂) ] = x₁

[a__U56 (x₁) ] = 2 x₁

[isQid (x₁) ] = 0

[a__isList (x₁) ] = 0

[U54 (x₁, x₂, x₃) ] = 2 x₁

[a__U73 (x₁, x₂) ] = 2 x₁ + 1

[a__U43 (x₁, x₂, x₃) ] = 2 x₁

[a__U42 (x₁, x₂, x₃) ] = 2 x₁

[U82 (x₁, x₂) ] = x₁

[a__U62 (x₁, x₂) ] = 0

[a__U24 (x₁, x₂, x₃) ] = 2 x₁

[U83 (x₁) ] = x₁

[U22 (x₁, x₂, x₃) ] = 2 x₁

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

mark#( U12( X1 , X2 ) ) → mark#( X1 )

mark#( U11( X1 , X2 ) ) → mark#( X1 )

mark#( U13( X ) ) → mark#( X )

mark#( U21( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U22( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U23( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U24( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U25( X1 , X2 ) ) → mark#( X1 )

mark#( U26( X ) ) → mark#( X )

mark#( U31( X1 , X2 ) ) → mark#( X1 )

mark#( U32( X1 , X2 ) ) → mark#( X1 )

mark#( U33( X ) ) → mark#( X )

mark#( U41( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U42( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U43( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U44( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U45( X1 , X2 ) ) → mark#( X1 )

mark#( U46( X ) ) → mark#( X )

mark#( U51( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U52( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U53( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U54( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U55( X1 , X2 ) ) → mark#( X1 )

mark#( U56( X ) ) → mark#( X )

mark#( U83( X ) ) → mark#( X )

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → mark#( X )

1.1.1.1.1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 2 x₁

[a__U54 (x₁, x₂, x₃) ] = x₁

[a] = 0

[__ (x₁, x₂) ] = 2 x₁ + x₂

[isNePal (x₁) ] = 0

[U25 (x₁, x₂) ] = x₁

[U21 (x₁, x₂, x₃) ] = 2 x₁

[U12 (x₁, x₂) ] = 2 x₁

[U41 (x₁, x₂, x₃) ] = 2 x₁

[i] = 0

[a__U83 (x₁) ] = 2 x₁ + 3

[U33 (x₁) ] = x₁

[U61 (x₁, x₂) ] = 0

[U31 (x₁, x₂) ] = x₁

[isNeList (x₁) ] = 0

[U45 (x₁, x₂) ] = 2 x₁

[a__isPal (x₁) ] = 3

[a__U74 (x₁) ] = 0

[a__U91 (x₁, x₂) ] = x₁

[isPal (x₁) ] = 3

[U23 (x₁, x₂, x₃) ] = 2 x₁

[a__U71 (x₁, x₂, x₃) ] = 0

[a__U44 (x₁, x₂, x₃) ] = x₁

[a__U45 (x₁, x₂) ] = 2 x₁

[a__U55 (x₁, x₂) ] = x₁

[a__U81 (x₁, x₂) ] = 3

[U71 (x₁, x₂, x₃) ] = 0

[a__U53 (x₁, x₂, x₃) ] = 2 x₁

[a__U25 (x₁, x₂) ] = x₁

[a__U32 (x₁, x₂) ] = x₁

[mark# (x₁) ] = 2 x₁

[U73 (x₁, x₂) ] = 0

[tt] = 0

[o] = 0

[e] = 1

[a__U21 (x₁, x₂, x₃) ] = 2 x₁

[a__U92 (x₁) ] = 2 x₁

[a__isNePal (x₁) ] = 0

[U51 (x₁, x₂, x₃) ] = x₁

[a__U26 (x₁) ] = x₁

[U74 (x₁) ] = 0

[a__U41 (x₁, x₂, x₃) ] = 2 x₁

[a__U23 (x₁, x₂, x₃) ] = 2 x₁

[U63 (x₁) ] = 0

[a__isQid (x₁) ] = 0

[U13 (x₁) ] = 2 x₁

[a____ (x₁, x₂) ] = 2 x₁ + x₂

[a__U13 (x₁) ] = 2 x₁

[a__U33 (x₁) ] = x₁

[U52 (x₁, x₂, x₃) ] = 2 x₁

[U55 (x₁, x₂) ] = x₁

[U32 (x₁, x₂) ] = x₁

[U91 (x₁, x₂) ] = x₁

[a__U72 (x₁, x₂) ] = 2 x₁

[a__U31 (x₁, x₂) ] = x₁

[u] = 0

[U56 (x₁) ] = 2 x₁

[a__U63 (x₁) ] = 0

[a__U46 (x₁) ] = 2 x₁

[a__U52 (x₁, x₂, x₃) ] = 2 x₁

[a__U61 (x₁, x₂) ] = 0

[U43 (x₁, x₂, x₃) ] = 2 x₁

[U44 (x₁, x₂, x₃) ] = x₁

[U42 (x₁, x₂, x₃) ] = x₁

[a__U82 (x₁, x₂) ] = 3

[isList (x₁) ] = 0

[U92 (x₁) ] = 2 x₁

[U24 (x₁, x₂, x₃) ] = x₁

[U53 (x₁, x₂, x₃) ] = 2 x₁

[a__U11 (x₁, x₂) ] = 2 x₁

[mark (x₁) ] = x₁

[U46 (x₁) ] = 2 x₁

[a__U22 (x₁, x₂, x₃) ] = 2 x₁

[U62 (x₁, x₂) ] = 0

[a__isPalListKind (x₁) ] = 0

[a__U12 (x₁, x₂) ] = 2 x₁

[nil] = 0

[a__isNeList (x₁) ] = 0

[a__U51 (x₁, x₂, x₃) ] = x₁

[isPalListKind (x₁) ] = 0

[U26 (x₁) ] = x₁

[U11 (x₁, x₂) ] = 2 x₁

[U81 (x₁, x₂) ] = 3

[a__U56 (x₁) ] = 2 x₁

[isQid (x₁) ] = 0

[a__isList (x₁) ] = 0

[U54 (x₁, x₂, x₃) ] = x₁

[a__U73 (x₁, x₂) ] = 0

[a__U43 (x₁, x₂, x₃) ] = 2 x₁

[a__U42 (x₁, x₂, x₃) ] = x₁

[U82 (x₁, x₂) ] = 3

[a__U62 (x₁, x₂) ] = 0

[a__U24 (x₁, x₂, x₃) ] = x₁

[U83 (x₁) ] = 2 x₁ + 3

[U22 (x₁, x₂, x₃) ] = 2 x₁

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

mark#( U12( X1 , X2 ) ) → mark#( X1 )

mark#( U11( X1 , X2 ) ) → mark#( X1 )

mark#( U13( X ) ) → mark#( X )

mark#( U21( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U22( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U23( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U24( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U25( X1 , X2 ) ) → mark#( X1 )

mark#( U26( X ) ) → mark#( X )

mark#( U31( X1 , X2 ) ) → mark#( X1 )

mark#( U32( X1 , X2 ) ) → mark#( X1 )

mark#( U33( X ) ) → mark#( X )

mark#( U41( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U42( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U43( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U44( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U45( X1 , X2 ) ) → mark#( X1 )

mark#( U46( X ) ) → mark#( X )

mark#( U51( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U52( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U53( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U54( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U55( X1 , X2 ) ) → mark#( X1 )

mark#( U56( X ) ) → mark#( X )

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → mark#( X )

1.1.1.1.1.1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 0

[a__U54 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃

[a] = 0

[__ (x₁, x₂) ] = 3 x₁ + x₂ + 1

[isNePal (x₁) ] = x₁

[U25 (x₁, x₂) ] = x₁ + x₂

[U21 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃

[U12 (x₁, x₂) ] = x₁ + x₂

[U41 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃ + 1

[i] = 0

[a__U83 (x₁) ] = 0

[U33 (x₁) ] = 2 x₁

[U61 (x₁, x₂) ] = 0

[U31 (x₁, x₂) ] = 2 x₁

[isNeList (x₁) ] = x₁

[U45 (x₁, x₂) ] = x₁ + x₂

[a__isPal (x₁) ] = 0

[a__U74 (x₁) ] = 0

[a__U91 (x₁, x₂) ] = x₁

[isPal (x₁) ] = 0

[U23 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + x₃

[a__U71 (x₁, x₂, x₃) ] = 2

[a__U44 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃

[a__U45 (x₁, x₂) ] = x₁ + x₂

[a__U55 (x₁, x₂) ] = x₁ + x₂

[a__U81 (x₁, x₂) ] = 0

[U71 (x₁, x₂, x₃) ] = 2

[a__U53 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃

[a__U25 (x₁, x₂) ] = x₁ + x₂

[a__U32 (x₁, x₂) ] = x₁

[mark# (x₁) ] = 2 x₁

[U73 (x₁, x₂) ] = 0

[tt] = 0

[o] = 0

[e] = 0

[a__U21 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃

[a__U92 (x₁) ] = x₁

[a__isNePal (x₁) ] = x₁

[U51 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + x₃

[a__U26 (x₁) ] = x₁

[U74 (x₁) ] = 0

[a__U41 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃ + 1

[a__U23 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + x₃

[U63 (x₁) ] = 0

[a__isQid (x₁) ] = 0

[U13 (x₁) ] = x₁

[a____ (x₁, x₂) ] = 3 x₁ + x₂ + 1

[a__U13 (x₁) ] = x₁

[a__U33 (x₁) ] = 2 x₁

[U52 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + x₃

[U55 (x₁, x₂) ] = x₁ + x₂

[U32 (x₁, x₂) ] = x₁

[U91 (x₁, x₂) ] = x₁

[a__U72 (x₁, x₂) ] = 0

[a__U31 (x₁, x₂) ] = 2 x₁

[u] = 0

[U56 (x₁) ] = x₁

[a__U63 (x₁) ] = 0

[a__U46 (x₁) ] = x₁

[a__U52 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + x₃

[a__U61 (x₁, x₂) ] = 0

[U43 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + x₃

[U44 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃

[U42 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + x₃

[a__U82 (x₁, x₂) ] = 0

[isList (x₁) ] = x₁

[U92 (x₁) ] = x₁

[U24 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃

[U53 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃

[a__U11 (x₁, x₂) ] = 2 x₁ + x₂

[mark (x₁) ] = x₁

[U46 (x₁) ] = x₁

[a__U22 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + x₃

[U62 (x₁, x₂) ] = 0

[a__isPalListKind (x₁) ] = 0

[a__U12 (x₁, x₂) ] = x₁ + x₂

[nil] = 0

[a__isNeList (x₁) ] = x₁

[a__U51 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + x₃

[isPalListKind (x₁) ] = 0

[U26 (x₁) ] = x₁

[U11 (x₁, x₂) ] = 2 x₁ + x₂

[U81 (x₁, x₂) ] = 0

[a__U56 (x₁) ] = x₁

[isQid (x₁) ] = 0

[a__isList (x₁) ] = x₁

[U54 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃

[a__U73 (x₁, x₂) ] = 0

[a__U43 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + x₃

[a__U42 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + x₃

[U82 (x₁, x₂) ] = 0

[a__U62 (x₁, x₂) ] = 0

[a__U24 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃

[U22 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + x₃

[U83 (x₁) ] = 0

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

mark#( U12( X1 , X2 ) ) → mark#( X1 )

mark#( U11( X1 , X2 ) ) → mark#( X1 )

mark#( U13( X ) ) → mark#( X )

mark#( U21( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U22( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U23( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U24( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U25( X1 , X2 ) ) → mark#( X1 )

mark#( U26( X ) ) → mark#( X )

mark#( U31( X1 , X2 ) ) → mark#( X1 )

mark#( U32( X1 , X2 ) ) → mark#( X1 )

mark#( U33( X ) ) → mark#( X )

mark#( U42( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U43( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U44( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U45( X1 , X2 ) ) → mark#( X1 )

mark#( U46( X ) ) → mark#( X )

mark#( U51( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U52( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U53( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U54( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U55( X1 , X2 ) ) → mark#( X1 )

mark#( U56( X ) ) → mark#( X )

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → mark#( X )

1.1.1.1.1.1.1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 0

[a__U54 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃

[a] = 0

[__ (x₁, x₂) ] = x₁ + x₂ + 1

[isNePal (x₁) ] = 0

[U25 (x₁, x₂) ] = x₁ + x₂

[U21 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + x₃ + 1

[U12 (x₁, x₂) ] = x₁ + x₂

[U41 (x₁, x₂, x₃) ] = x₁ + x₂

[i] = 0

[a__U83 (x₁) ] = 0

[U33 (x₁) ] = 2 x₁

[U61 (x₁, x₂) ] = 0

[U31 (x₁, x₂) ] = x₁

[isNeList (x₁) ] = x₁

[U45 (x₁, x₂) ] = x₁ + x₂

[a__isPal (x₁) ] = 0

[a__U74 (x₁) ] = 0

[a__U91 (x₁, x₂) ] = 2 x₁

[isPal (x₁) ] = 0

[U23 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + x₃

[a__U71 (x₁, x₂, x₃) ] = 0

[a__U44 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃

[a__U45 (x₁, x₂) ] = x₁ + x₂

[a__U55 (x₁, x₂) ] = x₁ + x₂

[a__U81 (x₁, x₂) ] = 0

[U71 (x₁, x₂, x₃) ] = 0

[a__U53 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃

[a__U25 (x₁, x₂) ] = x₁ + x₂

[a__U32 (x₁, x₂) ] = 2 x₁

[mark# (x₁) ] = 2 x₁

[U73 (x₁, x₂) ] = 0

[tt] = 0

[o] = 1

[e] = 0

[a__U21 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + x₃ + 1

[a__U92 (x₁) ] = 2 x₁

[a__isNePal (x₁) ] = 0

[U51 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + x₃

[a__U26 (x₁) ] = x₁

[U74 (x₁) ] = 0

[a__U41 (x₁, x₂, x₃) ] = x₁ + x₂

[a__U23 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + x₃

[U63 (x₁) ] = 0

[a__isQid (x₁) ] = 0

[U13 (x₁) ] = x₁

[a____ (x₁, x₂) ] = x₁ + x₂ + 1

[a__U13 (x₁) ] = x₁

[a__U33 (x₁) ] = 2 x₁

[U52 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + x₃

[U55 (x₁, x₂) ] = x₁ + x₂

[U32 (x₁, x₂) ] = 2 x₁

[U91 (x₁, x₂) ] = 2 x₁

[a__U72 (x₁, x₂) ] = 0

[a__U31 (x₁, x₂) ] = x₁

[u] = 2

[U56 (x₁) ] = x₁

[a__U63 (x₁) ] = 0

[a__U46 (x₁) ] = x₁

[a__U52 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + x₃

[a__U61 (x₁, x₂) ] = 0

[U43 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + x₃

[U44 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃

[U42 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃

[a__U82 (x₁, x₂) ] = 0

[isList (x₁) ] = x₁

[U92 (x₁) ] = 2 x₁

[U24 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃

[U53 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃

[a__U11 (x₁, x₂) ] = 2 x₁ + x₂

[mark (x₁) ] = x₁

[U46 (x₁) ] = x₁

[a__U22 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + x₃

[U62 (x₁, x₂) ] = 0

[a__isPalListKind (x₁) ] = 0

[a__U12 (x₁, x₂) ] = x₁ + x₂

[nil] = 0

[a__isNeList (x₁) ] = x₁

[a__U51 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + x₃

[isPalListKind (x₁) ] = 0

[U26 (x₁) ] = x₁

[U11 (x₁, x₂) ] = 2 x₁ + x₂

[U81 (x₁, x₂) ] = 0

[a__U56 (x₁) ] = x₁

[isQid (x₁) ] = 0

[a__isList (x₁) ] = x₁

[U54 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃

[a__U73 (x₁, x₂) ] = 0

[a__U43 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + x₃

[a__U42 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃

[U82 (x₁, x₂) ] = 0

[a__U62 (x₁, x₂) ] = 0

[a__U24 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃

[U22 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + x₃

[U83 (x₁) ] = 0

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

mark#( U12( X1 , X2 ) ) → mark#( X1 )

mark#( U11( X1 , X2 ) ) → mark#( X1 )

mark#( U13( X ) ) → mark#( X )

mark#( U22( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U23( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U24( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U25( X1 , X2 ) ) → mark#( X1 )

mark#( U26( X ) ) → mark#( X )

mark#( U31( X1 , X2 ) ) → mark#( X1 )

mark#( U32( X1 , X2 ) ) → mark#( X1 )

mark#( U33( X ) ) → mark#( X )

mark#( U42( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U43( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U44( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U45( X1 , X2 ) ) → mark#( X1 )

mark#( U46( X ) ) → mark#( X )

mark#( U51( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U52( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U53( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U54( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U55( X1 , X2 ) ) → mark#( X1 )

mark#( U56( X ) ) → mark#( X )

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → mark#( X )

1.1.1.1.1.1.1.1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 0

[a__U54 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃

[a] = 0

[__ (x₁, x₂) ] = 2 x₁ + x₂ + 2

[isNePal (x₁) ] = 2 x₁

[U25 (x₁, x₂) ] = x₁ + x₂ + 1

[U21 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + 1

[U12 (x₁, x₂) ] = x₁ + x₂

[U41 (x₁, x₂, x₃) ] = x₁ + x₂ + 1

[i] = 0

[a__U83 (x₁) ] = 0

[U33 (x₁) ] = 2 x₁

[U61 (x₁, x₂) ] = x₁

[U31 (x₁, x₂) ] = x₁ + x₂

[isNeList (x₁) ] = x₁

[U45 (x₁, x₂) ] = x₁ + x₂ + 1

[a__isPal (x₁) ] = 0

[a__U74 (x₁) ] = 0

[a__U91 (x₁, x₂) ] = x₁

[isPal (x₁) ] = 0

[U23 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃ + 1

[a__U71 (x₁, x₂, x₃) ] = 2 x₁

[a__U44 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃ + 1

[a__U45 (x₁, x₂) ] = x₁ + x₂ + 1

[a__U55 (x₁, x₂) ] = 2 x₁ + x₂

[a__U81 (x₁, x₂) ] = 0

[U71 (x₁, x₂, x₃) ] = 2 x₁

[a__U53 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃

[a__U25 (x₁, x₂) ] = x₁ + x₂ + 1

[a__U32 (x₁, x₂) ] = x₁

[mark# (x₁) ] = x₁

[U73 (x₁, x₂) ] = 0

[tt] = 0

[o] = 0

[e] = 0

[a__U21 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + 1

[a__U92 (x₁) ] = x₁

[a__isNePal (x₁) ] = 2 x₁

[U51 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃

[a__U26 (x₁) ] = x₁ + 1

[U74 (x₁) ] = 0

[a__U41 (x₁, x₂, x₃) ] = x₁ + x₂ + 1

[a__U23 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃ + 1

[U63 (x₁) ] = 0

[a__isQid (x₁) ] = 0

[U13 (x₁) ] = x₁

[a____ (x₁, x₂) ] = 2 x₁ + x₂ + 2

[a__U13 (x₁) ] = x₁

[a__U33 (x₁) ] = 2 x₁

[U52 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃

[U55 (x₁, x₂) ] = 2 x₁ + x₂

[U32 (x₁, x₂) ] = x₁

[U91 (x₁, x₂) ] = x₁

[a__U72 (x₁, x₂) ] = 0

[a__U31 (x₁, x₂) ] = x₁ + x₂

[u] = 0

[U56 (x₁) ] = x₁

[a__U63 (x₁) ] = 0

[a__U46 (x₁) ] = x₁ + 1

[a__U52 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃

[a__U61 (x₁, x₂) ] = x₁

[U43 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃ + 1

[U44 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃ + 1

[U42 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃ + 1

[a__U82 (x₁, x₂) ] = 0

[isList (x₁) ] = x₁

[U92 (x₁) ] = x₁

[U24 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + x₃ + 1

[U53 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃

[a__U11 (x₁, x₂) ] = x₁ + x₂

[mark (x₁) ] = x₁

[U46 (x₁) ] = x₁ + 1

[a__U22 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃ + 1

[U62 (x₁, x₂) ] = x₁

[a__isPalListKind (x₁) ] = 0

[a__U12 (x₁, x₂) ] = x₁ + x₂

[nil] = 0

[a__isNeList (x₁) ] = x₁

[a__U51 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃

[isPalListKind (x₁) ] = 0

[U26 (x₁) ] = x₁ + 1

[U11 (x₁, x₂) ] = x₁ + x₂

[U81 (x₁, x₂) ] = 0

[a__U56 (x₁) ] = x₁

[isQid (x₁) ] = 0

[a__isList (x₁) ] = x₁

[U54 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃

[a__U73 (x₁, x₂) ] = 0

[a__U43 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃ + 1

[a__U42 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃ + 1

[U82 (x₁, x₂) ] = 0

[a__U62 (x₁, x₂) ] = x₁

[a__U24 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + x₃ + 1

[U22 (x₁, x₂, x₃) ] = x₁ + x₂ + x₃ + 1

[U83 (x₁) ] = 0

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

mark#( U12( X1 , X2 ) ) → mark#( X1 )

mark#( U11( X1 , X2 ) ) → mark#( X1 )

mark#( U13( X ) ) → mark#( X )

mark#( U31( X1 , X2 ) ) → mark#( X1 )

mark#( U32( X1 , X2 ) ) → mark#( X1 )

mark#( U33( X ) ) → mark#( X )

mark#( U51( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U52( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U53( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U54( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U55( X1 , X2 ) ) → mark#( X1 )

mark#( U56( X ) ) → mark#( X )

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → mark#( X )

1.1.1.1.1.1.1.1.1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 0

[a__U54 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + 2 x₃

[a] = 0

[__ (x₁, x₂) ] = 2 x₁ + x₂ + 3

[isNePal (x₁) ] = 2 x₁ + 1

[U25 (x₁, x₂) ] = 0

[U21 (x₁, x₂, x₃) ] = 2 x₁

[U12 (x₁, x₂) ] = 2 x₁ + 2 x₂

[U41 (x₁, x₂, x₃) ] = 2

[i] = 0

[a__U83 (x₁) ] = 0

[U33 (x₁) ] = x₁

[U61 (x₁, x₂) ] = 0

[U31 (x₁, x₂) ] = 2 x₁

[isNeList (x₁) ] = 2 x₁

[a__isPal (x₁) ] = 0

[U45 (x₁, x₂) ] = 0

[a__U74 (x₁) ] = 0

[a__U91 (x₁, x₂) ] = x₁

[isPal (x₁) ] = 0

[a__U71 (x₁, x₂, x₃) ] = 0

[U23 (x₁, x₂, x₃) ] = 0

[a__U44 (x₁, x₂, x₃) ] = 0

[a__U45 (x₁, x₂) ] = 0

[a__U55 (x₁, x₂) ] = x₁ + 2 x₂

[a__U81 (x₁, x₂) ] = 0

[U71 (x₁, x₂, x₃) ] = 0

[a__U53 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + 2 x₃

[a__U25 (x₁, x₂) ] = 0

[a__U32 (x₁, x₂) ] = 2 x₁

[mark# (x₁) ] = 2 x₁

[U73 (x₁, x₂) ] = 0

[tt] = 0

[o] = 0

[e] = 0

[a__U21 (x₁, x₂, x₃) ] = 2 x₁

[a__U92 (x₁) ] = 2 x₁

[a__isNePal (x₁) ] = 2 x₁ + 1

[U51 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + 2 x₃ + 1

[a__U26 (x₁) ] = 0

[U74 (x₁) ] = 0

[a__U41 (x₁, x₂, x₃) ] = 2

[a__U23 (x₁, x₂, x₃) ] = 0

[U63 (x₁) ] = 0

[a__isQid (x₁) ] = 0

[a____ (x₁, x₂) ] = 2 x₁ + x₂ + 3

[U13 (x₁) ] = x₁

[a__U13 (x₁) ] = x₁

[a__U33 (x₁) ] = x₁

[U52 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + 2 x₃

[U55 (x₁, x₂) ] = x₁ + 2 x₂

[U32 (x₁, x₂) ] = 2 x₁

[U91 (x₁, x₂) ] = x₁

[a__U72 (x₁, x₂) ] = 0

[a__U31 (x₁, x₂) ] = 2 x₁

[u] = 0

[U56 (x₁) ] = x₁

[a__U63 (x₁) ] = 0

[a__U52 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + 2 x₃

[a__U46 (x₁) ] = 0

[a__U61 (x₁, x₂) ] = 0

[U43 (x₁, x₂, x₃) ] = 0

[U44 (x₁, x₂, x₃) ] = 0

[a__U82 (x₁, x₂) ] = 0

[isList (x₁) ] = 2 x₁

[U42 (x₁, x₂, x₃) ] = 0

[U92 (x₁) ] = 2 x₁

[U53 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + 2 x₃

[U24 (x₁, x₂, x₃) ] = 0

[a__U11 (x₁, x₂) ] = 2 x₁ + 2 x₂

[mark (x₁) ] = x₁

[U46 (x₁) ] = 0

[a__U22 (x₁, x₂, x₃) ] = 2 x₁

[U62 (x₁, x₂) ] = 0

[a__isPalListKind (x₁) ] = 0

[a__U12 (x₁, x₂) ] = 2 x₁ + 2 x₂

[nil] = 1

[a__isNeList (x₁) ] = 2 x₁

[a__U51 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + 2 x₃ + 1

[isPalListKind (x₁) ] = 0

[U11 (x₁, x₂) ] = 2 x₁ + 2 x₂

[U26 (x₁) ] = 0

[U81 (x₁, x₂) ] = 0

[a__U56 (x₁) ] = x₁

[isQid (x₁) ] = 0

[a__isList (x₁) ] = 2 x₁

[U54 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + 2 x₃

[a__U73 (x₁, x₂) ] = 0

[a__U43 (x₁, x₂, x₃) ] = 0

[a__U42 (x₁, x₂, x₃) ] = 0

[U82 (x₁, x₂) ] = 0

[a__U62 (x₁, x₂) ] = 0

[a__U24 (x₁, x₂, x₃) ] = 0

[U22 (x₁, x₂, x₃) ] = 2 x₁

[U83 (x₁) ] = 0

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

mark#( U12( X1 , X2 ) ) → mark#( X1 )

mark#( U11( X1 , X2 ) ) → mark#( X1 )

mark#( U13( X ) ) → mark#( X )

mark#( U31( X1 , X2 ) ) → mark#( X1 )

mark#( U32( X1 , X2 ) ) → mark#( X1 )

mark#( U33( X ) ) → mark#( X )

mark#( U52( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U53( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U54( X1 , X2 , X3 ) ) → mark#( X1 )

mark#( U55( X1 , X2 ) ) → mark#( X1 )

mark#( U56( X ) ) → mark#( X )

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → mark#( X )

1.1.1.1.1.1.1.1.1.1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 0

[a__U54 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃ + 1

[a] = 0

[__ (x₁, x₂) ] = 2 x₁ + x₂ + 1

[isNePal (x₁) ] = 1

[U25 (x₁, x₂) ] = 0

[U21 (x₁, x₂, x₃) ] = 0

[U12 (x₁, x₂) ] = x₁ + x₂

[U41 (x₁, x₂, x₃) ] = 0

[i] = 0

[a__U83 (x₁) ] = 0

[U33 (x₁) ] = x₁

[U61 (x₁, x₂) ] = 0

[U31 (x₁, x₂) ] = x₁

[isNeList (x₁) ] = x₁

[a__isPal (x₁) ] = 0

[U45 (x₁, x₂) ] = 0

[a__U74 (x₁) ] = 0

[a__U91 (x₁, x₂) ] = 2 x₁

[isPal (x₁) ] = 0

[a__U71 (x₁, x₂, x₃) ] = 0

[U23 (x₁, x₂, x₃) ] = 0

[a__U44 (x₁, x₂, x₃) ] = 0

[a__U45 (x₁, x₂) ] = 0

[a__U55 (x₁, x₂) ] = 2 x₁ + x₂ + 1

[a__U81 (x₁, x₂) ] = 0

[U71 (x₁, x₂, x₃) ] = 0

[a__U53 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + x₃ + 1

[a__U25 (x₁, x₂) ] = 0

[a__U32 (x₁, x₂) ] = x₁

[mark# (x₁) ] = x₁

[U73 (x₁, x₂) ] = 0

[tt] = 0

[o] = 0

[e] = 0

[a__U21 (x₁, x₂, x₃) ] = 0

[a__U92 (x₁) ] = x₁

[a__isNePal (x₁) ] = 1

[U51 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + 1

[a__U26 (x₁) ] = 0

[U74 (x₁) ] = 0

[a__U41 (x₁, x₂, x₃) ] = 0

[a__U23 (x₁, x₂, x₃) ] = 0

[U63 (x₁) ] = 0

[a__isQid (x₁) ] = 0

[a____ (x₁, x₂) ] = 2 x₁ + x₂ + 1

[U13 (x₁) ] = x₁

[a__U13 (x₁) ] = x₁

[a__U33 (x₁) ] = x₁

[U52 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃ + 1

[U55 (x₁, x₂) ] = 2 x₁ + x₂ + 1

[U32 (x₁, x₂) ] = x₁

[U91 (x₁, x₂) ] = 2 x₁

[a__U72 (x₁, x₂) ] = 0

[a__U31 (x₁, x₂) ] = x₁

[u] = 2

[U56 (x₁) ] = x₁ + 1

[a__U63 (x₁) ] = 0

[a__U52 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃ + 1

[a__U46 (x₁) ] = 0

[a__U61 (x₁, x₂) ] = 0

[U43 (x₁, x₂, x₃) ] = 3 x₁

[U44 (x₁, x₂, x₃) ] = 0

[a__U82 (x₁, x₂) ] = 0

[isList (x₁) ] = x₁

[U42 (x₁, x₂, x₃) ] = 0

[U92 (x₁) ] = x₁

[U53 (x₁, x₂, x₃) ] = 2 x₁ + 2 x₂ + x₃ + 1

[U24 (x₁, x₂, x₃) ] = 0

[a__U11 (x₁, x₂) ] = x₁ + x₂

[mark (x₁) ] = x₁

[U46 (x₁) ] = 0

[a__U22 (x₁, x₂, x₃) ] = 0

[U62 (x₁, x₂) ] = 0

[a__isPalListKind (x₁) ] = 0

[a__U12 (x₁, x₂) ] = x₁ + x₂

[nil] = 1

[a__isNeList (x₁) ] = x₁

[a__U51 (x₁, x₂, x₃) ] = 2 x₁ + x₂ + 1

[isPalListKind (x₁) ] = 0

[U11 (x₁, x₂) ] = x₁ + x₂

[U26 (x₁) ] = 0

[U81 (x₁, x₂) ] = 0

[a__U56 (x₁) ] = x₁ + 1

[isQid (x₁) ] = 0

[a__isList (x₁) ] = x₁

[U54 (x₁, x₂, x₃) ] = x₁ + 2 x₂ + x₃ + 1

[a__U73 (x₁, x₂) ] = 0

[a__U43 (x₁, x₂, x₃) ] = 3 x₁

[a__U42 (x₁, x₂, x₃) ] = 0

[U82 (x₁, x₂) ] = 0

[a__U62 (x₁, x₂) ] = 0

[a__U24 (x₁, x₂, x₃) ] = 0

[U22 (x₁, x₂, x₃) ] = 0

[U83 (x₁) ] = 0

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

1.1.1.1.1.1.1.1.1.1.1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 0

[a__U54 (x₁, x₂, x₃) ] = 0

[a] = 0

[__ (x₁, x₂) ] = 2 x₁ + x₂

[isNePal (x₁) ] = 0

[U25 (x₁, x₂) ] = 0

[U21 (x₁, x₂, x₃) ] = 0

[U12 (x₁, x₂) ] = x₁

[U41 (x₁, x₂, x₃) ] = 0

[i] = 0

[a__U83 (x₁) ] = 0

[U33 (x₁) ] = x₁

[U61 (x₁, x₂) ] = 0

[U31 (x₁, x₂) ] = x₁

[isNeList (x₁) ] = 0

[a__isPal (x₁) ] = 2 x₁

[U45 (x₁, x₂) ] = 0

[a__U74 (x₁) ] = 0

[a__U91 (x₁, x₂) ] = x₁

[isPal (x₁) ] = 2 x₁

[a__U71 (x₁, x₂, x₃) ] = 0

[U23 (x₁, x₂, x₃) ] = 0

[a__U44 (x₁, x₂, x₃) ] = 0

[a__U45 (x₁, x₂) ] = 0

[a__U55 (x₁, x₂) ] = 0

[a__U81 (x₁, x₂) ] = x₁

[U71 (x₁, x₂, x₃) ] = 0

[a__U53 (x₁, x₂, x₃) ] = 0

[a__U25 (x₁, x₂) ] = 0

[a__U32 (x₁, x₂) ] = 2 x₁

[mark# (x₁) ] = 2 x₁

[U73 (x₁, x₂) ] = 0

[tt] = 0

[o] = 1

[e] = 0

[a__U21 (x₁, x₂, x₃) ] = 0

[a__U92 (x₁) ] = 2 x₁

[a__isNePal (x₁) ] = 0

[U51 (x₁, x₂, x₃) ] = 0

[a__U26 (x₁) ] = 0

[U74 (x₁) ] = 0

[a__U41 (x₁, x₂, x₃) ] = 0

[a__U23 (x₁, x₂, x₃) ] = 0

[U63 (x₁) ] = 2 x₁

[a__isQid (x₁) ] = 0

[U13 (x₁) ] = x₁

[a____ (x₁, x₂) ] = 2 x₁ + x₂

[a__U13 (x₁) ] = x₁

[a__U33 (x₁) ] = x₁

[U52 (x₁, x₂, x₃) ] = 0

[U55 (x₁, x₂) ] = 0

[U32 (x₁, x₂) ] = 2 x₁

[U91 (x₁, x₂) ] = x₁

[a__U72 (x₁, x₂) ] = 0

[a__U31 (x₁, x₂) ] = x₁

[u] = 2

[U56 (x₁) ] = 0

[a__U63 (x₁) ] = 2 x₁

[a__U52 (x₁, x₂, x₃) ] = 0

[a__U46 (x₁) ] = 0

[a__U61 (x₁, x₂) ] = 0

[U43 (x₁, x₂, x₃) ] = 0

[U44 (x₁, x₂, x₃) ] = 0

[a__U82 (x₁, x₂) ] = 0

[isList (x₁) ] = 2

[U42 (x₁, x₂, x₃) ] = 2 x₁

[U92 (x₁) ] = 2 x₁

[U24 (x₁, x₂, x₃) ] = 0

[U53 (x₁, x₂, x₃) ] = 0

[a__U11 (x₁, x₂) ] = 2 x₁ + 1

[mark (x₁) ] = x₁

[U46 (x₁) ] = 0

[a__U22 (x₁, x₂, x₃) ] = 0

[U62 (x₁, x₂) ] = 0

[a__isPalListKind (x₁) ] = 0

[a__U12 (x₁, x₂) ] = x₁

[nil] = 0

[a__isNeList (x₁) ] = 0

[a__U51 (x₁, x₂, x₃) ] = 0

[isPalListKind (x₁) ] = 0

[U11 (x₁, x₂) ] = 2 x₁ + 1

[U26 (x₁) ] = 0

[U81 (x₁, x₂) ] = x₁

[a__U56 (x₁) ] = 0

[isQid (x₁) ] = 0

[a__isList (x₁) ] = 2

[U54 (x₁, x₂, x₃) ] = 0

[a__U73 (x₁, x₂) ] = 0

[a__U43 (x₁, x₂, x₃) ] = 0

[a__U42 (x₁, x₂, x₃) ] = 2 x₁

[U82 (x₁, x₂) ] = 0

[a__U62 (x₁, x₂) ] = 0

[a__U24 (x₁, x₂, x₃) ] = 0

[U22 (x₁, x₂, x₃) ] = 0

[U83 (x₁) ] = 0

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

mark#( U12( X1 , X2 ) ) → mark#( X1 )

mark#( U13( X ) ) → mark#( X )

mark#( U31( X1 , X2 ) ) → mark#( X1 )

mark#( U32( X1 , X2 ) ) → mark#( X1 )

mark#( U33( X ) ) → mark#( X )

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → mark#( X )

1.1.1.1.1.1.1.1.1.1.1.1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 0

[a__U54 (x₁, x₂, x₃) ] = 0

[a] = 0

[__ (x₁, x₂) ] = 2 x₁ + x₂

[isNePal (x₁) ] = 0

[U25 (x₁, x₂) ] = 0

[U21 (x₁, x₂, x₃) ] = 0

[U12 (x₁, x₂) ] = x₁ + 1

[U41 (x₁, x₂, x₃) ] = 0

[i] = 0

[a__U83 (x₁) ] = 0

[U33 (x₁) ] = 2 x₁

[U61 (x₁, x₂) ] = 0

[U31 (x₁, x₂) ] = 2 x₁

[isNeList (x₁) ] = 0

[a__isPal (x₁) ] = 0

[U45 (x₁, x₂) ] = 0

[a__U74 (x₁) ] = 0

[a__U91 (x₁, x₂) ] = x₁

[isPal (x₁) ] = 0

[a__U71 (x₁, x₂, x₃) ] = 0

[U23 (x₁, x₂, x₃) ] = 0

[a__U44 (x₁, x₂, x₃) ] = 0

[a__U45 (x₁, x₂) ] = 0

[a__U55 (x₁, x₂) ] = 0

[a__U81 (x₁, x₂) ] = 0

[U71 (x₁, x₂, x₃) ] = 0

[a__U53 (x₁, x₂, x₃) ] = 0

[a__U25 (x₁, x₂) ] = 0

[a__U32 (x₁, x₂) ] = 2 x₁

[mark# (x₁) ] = x₁

[U73 (x₁, x₂) ] = 0

[tt] = 0

[o] = 0

[e] = 0

[a__U21 (x₁, x₂, x₃) ] = 0

[a__U92 (x₁) ] = x₁

[a__isNePal (x₁) ] = 0

[U51 (x₁, x₂, x₃) ] = 0

[a__U26 (x₁) ] = 0

[U74 (x₁) ] = 0

[a__U41 (x₁, x₂, x₃) ] = 0

[a__U23 (x₁, x₂, x₃) ] = 0

[U63 (x₁) ] = 0

[a__isQid (x₁) ] = 0

[U13 (x₁) ] = 2 x₁ + 1

[a____ (x₁, x₂) ] = 2 x₁ + x₂

[a__U13 (x₁) ] = 2 x₁ + 1

[a__U33 (x₁) ] = 2 x₁

[U52 (x₁, x₂, x₃) ] = 0

[U55 (x₁, x₂) ] = 0

[U32 (x₁, x₂) ] = 2 x₁

[U91 (x₁, x₂) ] = x₁

[a__U72 (x₁, x₂) ] = 0

[a__U31 (x₁, x₂) ] = 2 x₁

[u] = 0

[U56 (x₁) ] = 0

[a__U63 (x₁) ] = 0

[a__U52 (x₁, x₂, x₃) ] = 0

[a__U46 (x₁) ] = 0

[a__U61 (x₁, x₂) ] = 0

[U43 (x₁, x₂, x₃) ] = 0

[U44 (x₁, x₂, x₃) ] = 0

[a__U82 (x₁, x₂) ] = 0

[isList (x₁) ] = 2

[U42 (x₁, x₂, x₃) ] = 0

[U92 (x₁) ] = x₁

[U24 (x₁, x₂, x₃) ] = 0

[U53 (x₁, x₂, x₃) ] = 0

[a__U11 (x₁, x₂) ] = 1

[mark (x₁) ] = x₁

[U46 (x₁) ] = 0

[a__U22 (x₁, x₂, x₃) ] = 0

[U62 (x₁, x₂) ] = 0

[a__isPalListKind (x₁) ] = 0

[a__U12 (x₁, x₂) ] = x₁ + 1

[nil] = 2

[a__isNeList (x₁) ] = 0

[a__U51 (x₁, x₂, x₃) ] = 0

[isPalListKind (x₁) ] = 0

[U11 (x₁, x₂) ] = 1

[U26 (x₁) ] = 0

[U81 (x₁, x₂) ] = 0

[a__U56 (x₁) ] = 0

[isQid (x₁) ] = 0

[a__isList (x₁) ] = 2

[U54 (x₁, x₂, x₃) ] = 0

[a__U73 (x₁, x₂) ] = 0

[a__U43 (x₁, x₂, x₃) ] = 0

[a__U42 (x₁, x₂, x₃) ] = 0

[U82 (x₁, x₂) ] = 0

[a__U62 (x₁, x₂) ] = 0

[a__U24 (x₁, x₂, x₃) ] = 0

[U22 (x₁, x₂, x₃) ] = 0

[U83 (x₁) ] = 0

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

mark#( U31( X1 , X2 ) ) → mark#( X1 )

mark#( U32( X1 , X2 ) ) → mark#( X1 )

mark#( U33( X ) ) → mark#( X )

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → mark#( X )

1.1.1.1.1.1.1.1.1.1.1.1.1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 0

[a__U54 (x₁, x₂, x₃) ] = 0

[a] = 0

[__ (x₁, x₂) ] = 2 x₁ + x₂

[isNePal (x₁) ] = 0

[U25 (x₁, x₂) ] = 0

[U21 (x₁, x₂, x₃) ] = 0

[U12 (x₁, x₂) ] = 0

[U41 (x₁, x₂, x₃) ] = 0

[i] = 0

[a__U83 (x₁) ] = 0

[U33 (x₁) ] = 2 x₁

[U61 (x₁, x₂) ] = 0

[U31 (x₁, x₂) ] = 2 x₁ + 2

[isNeList (x₁) ] = 2

[a__isPal (x₁) ] = x₁

[U45 (x₁, x₂) ] = 0

[a__U74 (x₁) ] = 0

[a__U91 (x₁, x₂) ] = x₁

[isPal (x₁) ] = x₁

[a__U71 (x₁, x₂, x₃) ] = 0

[U23 (x₁, x₂, x₃) ] = 0

[a__U44 (x₁, x₂, x₃) ] = 0

[a__U45 (x₁, x₂) ] = 0

[a__U55 (x₁, x₂) ] = 0

[a__U81 (x₁, x₂) ] = 2 x₁

[U71 (x₁, x₂, x₃) ] = 0

[a__U53 (x₁, x₂, x₃) ] = 0

[a__U32 (x₁, x₂) ] = 2 x₁

[a__U25 (x₁, x₂) ] = 0

[mark# (x₁) ] = 2 x₁

[U73 (x₁, x₂) ] = 0

[tt] = 0

[o] = 0

[e] = 0

[a__U21 (x₁, x₂, x₃) ] = 0

[a__U92 (x₁) ] = 2 x₁

[a__isNePal (x₁) ] = 0

[U51 (x₁, x₂, x₃) ] = 1

[a__U26 (x₁) ] = 0

[U74 (x₁) ] = 0

[a__U41 (x₁, x₂, x₃) ] = 0

[a__U23 (x₁, x₂, x₃) ] = 0

[U63 (x₁) ] = 0

[a__isQid (x₁) ] = 0

[U13 (x₁) ] = 0

[a____ (x₁, x₂) ] = 2 x₁ + x₂

[a__U13 (x₁) ] = 0

[a__U33 (x₁) ] = 2 x₁

[U52 (x₁, x₂, x₃) ] = 0

[U55 (x₁, x₂) ] = 0

[U32 (x₁, x₂) ] = 2 x₁

[U91 (x₁, x₂) ] = x₁

[a__U72 (x₁, x₂) ] = 0

[a__U31 (x₁, x₂) ] = 2 x₁ + 2

[u] = 0

[U56 (x₁) ] = 0

[a__U63 (x₁) ] = 0

[a__U52 (x₁, x₂, x₃) ] = 0

[a__U46 (x₁) ] = 0

[a__U61 (x₁, x₂) ] = 0

[U43 (x₁, x₂, x₃) ] = 0

[U44 (x₁, x₂, x₃) ] = 0

[a__U82 (x₁, x₂) ] = 0

[isList (x₁) ] = 2 x₁

[U42 (x₁, x₂, x₃) ] = 0

[U92 (x₁) ] = 2 x₁

[U24 (x₁, x₂, x₃) ] = 0

[U53 (x₁, x₂, x₃) ] = 0

[a__U11 (x₁, x₂) ] = 2 x₁

[mark (x₁) ] = x₁

[U46 (x₁) ] = 0

[a__U22 (x₁, x₂, x₃) ] = 0

[U62 (x₁, x₂) ] = 0

[a__isPalListKind (x₁) ] = 0

[a__U12 (x₁, x₂) ] = 0

[nil] = 0

[a__isNeList (x₁) ] = 2

[a__U51 (x₁, x₂, x₃) ] = 1

[isPalListKind (x₁) ] = 0

[U11 (x₁, x₂) ] = 2 x₁

[U26 (x₁) ] = 0

[U81 (x₁, x₂) ] = 2 x₁

[a__U56 (x₁) ] = 0

[isQid (x₁) ] = 0

[a__isList (x₁) ] = 2 x₁

[U54 (x₁, x₂, x₃) ] = 0

[a__U73 (x₁, x₂) ] = 0

[a__U43 (x₁, x₂, x₃) ] = 0

[a__U42 (x₁, x₂, x₃) ] = 0

[U82 (x₁, x₂) ] = 0

[a__U62 (x₁, x₂) ] = 0

[a__U24 (x₁, x₂, x₃) ] = 0

[U22 (x₁, x₂, x₃) ] = 0

[U83 (x₁) ] = 0

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

mark#( U32( X1 , X2 ) ) → mark#( X1 )

mark#( U33( X ) ) → mark#( X )

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → mark#( X )

1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 0

[a__U54 (x₁, x₂, x₃) ] = 0

[a] = 0

[__ (x₁, x₂) ] = 2 x₁ + x₂

[isNePal (x₁) ] = 0

[U25 (x₁, x₂) ] = 0

[U21 (x₁, x₂, x₃) ] = 0

[U12 (x₁, x₂) ] = 2 x₁

[U41 (x₁, x₂, x₃) ] = 0

[i] = 0

[a__U83 (x₁) ] = 0

[U33 (x₁) ] = x₁

[U61 (x₁, x₂) ] = 0

[U31 (x₁, x₂) ] = 1

[isNeList (x₁) ] = 2

[a__isPal (x₁) ] = 0

[U45 (x₁, x₂) ] = 0

[a__U74 (x₁) ] = 0

[a__U91 (x₁, x₂) ] = 2 x₁

[isPal (x₁) ] = 0

[a__U71 (x₁, x₂, x₃) ] = 0

[U23 (x₁, x₂, x₃) ] = 0

[a__U44 (x₁, x₂, x₃) ] = 0

[a__U45 (x₁, x₂) ] = 0

[a__U55 (x₁, x₂) ] = 0

[a__U81 (x₁, x₂) ] = 2 x₁

[U71 (x₁, x₂, x₃) ] = 0

[a__U53 (x₁, x₂, x₃) ] = 0

[a__U32 (x₁, x₂) ] = 2 x₁ + 1

[a__U25 (x₁, x₂) ] = 0

[mark# (x₁) ] = x₁

[U73 (x₁, x₂) ] = 0

[tt] = 0

[o] = 0

[e] = 0

[a__U21 (x₁, x₂, x₃) ] = 0

[a__U92 (x₁) ] = 2 x₁

[a__isNePal (x₁) ] = 0

[U51 (x₁, x₂, x₃) ] = 0

[a__U26 (x₁) ] = 0

[U74 (x₁) ] = 0

[a__U41 (x₁, x₂, x₃) ] = 0

[a__U23 (x₁, x₂, x₃) ] = 0

[U63 (x₁) ] = 0

[a__isQid (x₁) ] = 1

[U13 (x₁) ] = 0

[a____ (x₁, x₂) ] = 2 x₁ + x₂

[a__U33 (x₁) ] = x₁

[a__U13 (x₁) ] = 0

[U52 (x₁, x₂, x₃) ] = 0

[U55 (x₁, x₂) ] = 0

[U32 (x₁, x₂) ] = 2 x₁ + 1

[U91 (x₁, x₂) ] = 2 x₁

[a__U72 (x₁, x₂) ] = 0

[a__U31 (x₁, x₂) ] = 1

[u] = 0

[U56 (x₁) ] = 0

[a__U63 (x₁) ] = 0

[a__U52 (x₁, x₂, x₃) ] = 0

[a__U46 (x₁) ] = 0

[a__U61 (x₁, x₂) ] = 0

[U43 (x₁, x₂, x₃) ] = 2 x₁

[U44 (x₁, x₂, x₃) ] = 0

[a__U82 (x₁, x₂) ] = 0

[isList (x₁) ] = 0

[U42 (x₁, x₂, x₃) ] = 0

[U92 (x₁) ] = 2 x₁

[U24 (x₁, x₂, x₃) ] = 0

[U53 (x₁, x₂, x₃) ] = 0

[a__U11 (x₁, x₂) ] = x₁

[mark (x₁) ] = x₁

[U46 (x₁) ] = 0

[a__U22 (x₁, x₂, x₃) ] = 0

[U62 (x₁, x₂) ] = 0

[a__isPalListKind (x₁) ] = 0

[a__U12 (x₁, x₂) ] = 2 x₁

[nil] = 0

[a__isNeList (x₁) ] = 2

[a__U51 (x₁, x₂, x₃) ] = 0

[isPalListKind (x₁) ] = 0

[U11 (x₁, x₂) ] = x₁

[U26 (x₁) ] = 0

[U81 (x₁, x₂) ] = 2 x₁

[a__U56 (x₁) ] = 0

[isQid (x₁) ] = 1

[a__isList (x₁) ] = 0

[U54 (x₁, x₂, x₃) ] = 0

[a__U73 (x₁, x₂) ] = 0

[a__U43 (x₁, x₂, x₃) ] = 2 x₁

[a__U42 (x₁, x₂, x₃) ] = 0

[U82 (x₁, x₂) ] = 0

[a__U62 (x₁, x₂) ] = 0

[a__U24 (x₁, x₂, x₃) ] = 0

[U22 (x₁, x₂, x₃) ] = 0

[U83 (x₁) ] = 0

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

mark#( U33( X ) ) → mark#( X )

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → mark#( X )

1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 0

[a__U54 (x₁, x₂, x₃) ] = 0

[a] = 0

[__ (x₁, x₂) ] = 2 x₁ + x₂

[isNePal (x₁) ] = 3 x₁

[U25 (x₁, x₂) ] = 0

[U21 (x₁, x₂, x₃) ] = x₁ + 2 x₂

[U12 (x₁, x₂) ] = 2 x₁

[U41 (x₁, x₂, x₃) ] = 1

[i] = 0

[a__U83 (x₁) ] = 0

[U33 (x₁) ] = 2 x₁ + 1

[U61 (x₁, x₂) ] = 2 x₁

[U31 (x₁, x₂) ] = 1

[isNeList (x₁) ] = 2

[a__isPal (x₁) ] = 0

[U45 (x₁, x₂) ] = 0

[a__U74 (x₁) ] = 0

[a__U91 (x₁, x₂) ] = x₁

[isPal (x₁) ] = 0

[a__U71 (x₁, x₂, x₃) ] = 2 x₁

[U23 (x₁, x₂, x₃) ] = 0

[a__U44 (x₁, x₂, x₃) ] = 0

[a__U45 (x₁, x₂) ] = 0

[a__U55 (x₁, x₂) ] = 0

[a__U81 (x₁, x₂) ] = 0

[U71 (x₁, x₂, x₃) ] = 2 x₁

[a__U53 (x₁, x₂, x₃) ] = 0

[a__U32 (x₁, x₂) ] = 1

[a__U25 (x₁, x₂) ] = 0

[mark# (x₁) ] = 3 x₁

[U73 (x₁, x₂) ] = 0

[tt] = 0

[o] = 0

[e] = 0

[a__U21 (x₁, x₂, x₃) ] = x₁ + 2 x₂

[a__U92 (x₁) ] = 2 x₁

[a__isNePal (x₁) ] = 3 x₁

[U51 (x₁, x₂, x₃) ] = 0

[a__U26 (x₁) ] = 0

[U74 (x₁) ] = 0

[a__U41 (x₁, x₂, x₃) ] = 1

[a__U23 (x₁, x₂, x₃) ] = 0

[U63 (x₁) ] = 0

[a__isQid (x₁) ] = 0

[U13 (x₁) ] = 0

[a____ (x₁, x₂) ] = 2 x₁ + x₂

[a__U33 (x₁) ] = 2 x₁ + 1

[a__U13 (x₁) ] = 0

[U52 (x₁, x₂, x₃) ] = 0

[U55 (x₁, x₂) ] = 0

[U32 (x₁, x₂) ] = 1

[U91 (x₁, x₂) ] = x₁

[a__U72 (x₁, x₂) ] = 0

[a__U31 (x₁, x₂) ] = 1

[u] = 0

[U56 (x₁) ] = 0

[a__U63 (x₁) ] = 0

[a__U52 (x₁, x₂, x₃) ] = 0

[a__U46 (x₁) ] = 0

[a__U61 (x₁, x₂) ] = 2 x₁

[U43 (x₁, x₂, x₃) ] = 0

[U44 (x₁, x₂, x₃) ] = 0

[a__U82 (x₁, x₂) ] = 0

[isList (x₁) ] = 2 x₁

[U42 (x₁, x₂, x₃) ] = 0

[U92 (x₁) ] = 2 x₁

[U24 (x₁, x₂, x₃) ] = 0

[U53 (x₁, x₂, x₃) ] = 0

[a__U11 (x₁, x₂) ] = 2 x₁

[mark (x₁) ] = x₁

[U46 (x₁) ] = 0

[a__U22 (x₁, x₂, x₃) ] = 0

[U62 (x₁, x₂) ] = x₁

[a__isPalListKind (x₁) ] = 0

[a__U12 (x₁, x₂) ] = 2 x₁

[nil] = 0

[a__isNeList (x₁) ] = 2

[a__U51 (x₁, x₂, x₃) ] = 0

[isPalListKind (x₁) ] = 0

[U11 (x₁, x₂) ] = 2 x₁

[U26 (x₁) ] = 0

[U81 (x₁, x₂) ] = 0

[a__U56 (x₁) ] = 0

[isQid (x₁) ] = 0

[a__isList (x₁) ] = 2 x₁

[U54 (x₁, x₂, x₃) ] = 0

[a__U73 (x₁, x₂) ] = 0

[a__U43 (x₁, x₂, x₃) ] = 0

[a__U42 (x₁, x₂, x₃) ] = 0

[U82 (x₁, x₂) ] = 0

[a__U62 (x₁, x₂) ] = x₁

[a__U24 (x₁, x₂, x₃) ] = 0

[U22 (x₁, x₂, x₃) ] = 0

[U83 (x₁) ] = 0

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

mark#( U91( X1 , X2 ) ) → mark#( X1 )

mark#( U92( X ) ) → mark#( X )

1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 0

[a__U54 (x₁, x₂, x₃) ] = 1

[a] = 1

[__ (x₁, x₂) ] = 2 x₁ + x₂ + 1

[isNePal (x₁) ] = 0

[U25 (x₁, x₂) ] = 0

[U21 (x₁, x₂, x₃) ] = 0

[U12 (x₁, x₂) ] = 0

[U41 (x₁, x₂, x₃) ] = 0

[i] = 2

[a__U83 (x₁) ] = 0

[U31 (x₁, x₂) ] = 0

[U61 (x₁, x₂) ] = 0

[U33 (x₁) ] = 0

[isNeList (x₁) ] = 2

[a__isPal (x₁) ] = 0

[U45 (x₁, x₂) ] = 0

[a__U91 (x₁, x₂) ] = x₁ + 2 x₂ + 1

[a__U74 (x₁) ] = 0

[isPal (x₁) ] = 0

[a__U71 (x₁, x₂, x₃) ] = 0

[U23 (x₁, x₂, x₃) ] = 0

[a__U44 (x₁, x₂, x₃) ] = 0

[a__U45 (x₁, x₂) ] = 0

[a__U55 (x₁, x₂) ] = 0

[a__U81 (x₁, x₂) ] = 0

[U71 (x₁, x₂, x₃) ] = 0

[a__U53 (x₁, x₂, x₃) ] = 1

[a__U32 (x₁, x₂) ] = 0

[a__U25 (x₁, x₂) ] = 0

[mark# (x₁) ] = 2 x₁

[U73 (x₁, x₂) ] = 0

[tt] = 0

[o] = 2

[e] = 0

[a__U21 (x₁, x₂, x₃) ] = 0

[a__U92 (x₁) ] = x₁

[a__isNePal (x₁) ] = 0

[U51 (x₁, x₂, x₃) ] = 1

[a__U26 (x₁) ] = 0

[U74 (x₁) ] = 0

[a__U41 (x₁, x₂, x₃) ] = 0

[a__U23 (x₁, x₂, x₃) ] = 0

[U63 (x₁) ] = 0

[a__isQid (x₁) ] = 2 x₁

[U13 (x₁) ] = 0

[a____ (x₁, x₂) ] = 2 x₁ + x₂ + 1

[a__U33 (x₁) ] = 0

[a__U13 (x₁) ] = 0

[U52 (x₁, x₂, x₃) ] = 1

[U55 (x₁, x₂) ] = 0

[U32 (x₁, x₂) ] = 0

[U91 (x₁, x₂) ] = x₁ + 2 x₂ + 1

[a__U72 (x₁, x₂) ] = 0

[a__U31 (x₁, x₂) ] = 0

[u] = 0

[U56 (x₁) ] = 0

[a__U63 (x₁) ] = 0

[a__U52 (x₁, x₂, x₃) ] = 1

[a__U46 (x₁) ] = 0

[a__U61 (x₁, x₂) ] = 0

[U43 (x₁, x₂, x₃) ] = 0

[U44 (x₁, x₂, x₃) ] = 0

[a__U82 (x₁, x₂) ] = 0

[isList (x₁) ] = 0

[U42 (x₁, x₂, x₃) ] = 0

[U92 (x₁) ] = x₁

[U24 (x₁, x₂, x₃) ] = 0

[U53 (x₁, x₂, x₃) ] = 1

[a__U11 (x₁, x₂) ] = 0

[mark (x₁) ] = x₁

[U46 (x₁) ] = 0

[a__U22 (x₁, x₂, x₃) ] = 0

[U62 (x₁, x₂) ] = 0

[a__isPalListKind (x₁) ] = 2 x₁

[a__U12 (x₁, x₂) ] = 0

[nil] = 0

[a__isNeList (x₁) ] = 2

[a__U51 (x₁, x₂, x₃) ] = 1

[isPalListKind (x₁) ] = 2 x₁

[U11 (x₁, x₂) ] = 0

[U26 (x₁) ] = 0

[U81 (x₁, x₂) ] = 0

[a__U56 (x₁) ] = 0

[isQid (x₁) ] = 2 x₁

[a__isList (x₁) ] = 0

[U54 (x₁, x₂, x₃) ] = 1

[a__U73 (x₁, x₂) ] = 0

[a__U43 (x₁, x₂, x₃) ] = 0

[a__U42 (x₁, x₂, x₃) ] = 0

[U82 (x₁, x₂) ] = 0

[a__U62 (x₁, x₂) ] = 0

[a__U24 (x₁, x₂, x₃) ] = 0

[U22 (x₁, x₂, x₃) ] = 0

[U83 (x₁) ] = 0

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

mark#( U92( X ) ) → mark#( X )

1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 0

[a__U54 (x₁, x₂, x₃) ] = 0

[a] = 0

[__ (x₁, x₂) ] = 2 x₁ + x₂ + 1

[isNePal (x₁) ] = 0

[U25 (x₁, x₂) ] = 0

[U21 (x₁, x₂, x₃) ] = x₁

[U12 (x₁, x₂) ] = 0

[U41 (x₁, x₂, x₃) ] = x₁ + x₂

[i] = 0

[a__U83 (x₁) ] = 0

[U31 (x₁, x₂) ] = 2 x₁ + 1

[U61 (x₁, x₂) ] = 0

[U33 (x₁) ] = 0

[isNeList (x₁) ] = 2 x₁ + 1

[a__isPal (x₁) ] = 2

[U45 (x₁, x₂) ] = 0

[a__U91 (x₁, x₂) ] = 2 x₁ + 1

[a__U74 (x₁) ] = 0

[isPal (x₁) ] = 2

[a__U71 (x₁, x₂, x₃) ] = 0

[U23 (x₁, x₂, x₃) ] = x₁

[a__U44 (x₁, x₂, x₃) ] = 0

[a__U45 (x₁, x₂) ] = 0

[a__U55 (x₁, x₂) ] = 0

[a__U81 (x₁, x₂) ] = 0

[U71 (x₁, x₂, x₃) ] = 0

[a__U53 (x₁, x₂, x₃) ] = 0

[a__U32 (x₁, x₂) ] = x₁

[a__U25 (x₁, x₂) ] = 0

[mark# (x₁) ] = 2 x₁

[U73 (x₁, x₂) ] = 0

[tt] = 0

[o] = 0

[e] = 0

[a__U21 (x₁, x₂, x₃) ] = x₁

[a__isNePal (x₁) ] = 0

[a__U92 (x₁) ] = x₁ + 1

[U51 (x₁, x₂, x₃) ] = 0

[a__U26 (x₁) ] = 0

[U74 (x₁) ] = 0

[a__U41 (x₁, x₂, x₃) ] = x₁ + x₂

[a__U23 (x₁, x₂, x₃) ] = x₁

[U63 (x₁) ] = 0

[a__isQid (x₁) ] = 0

[U13 (x₁) ] = 0

[a____ (x₁, x₂) ] = 2 x₁ + x₂ + 1

[a__U33 (x₁) ] = 0

[a__U13 (x₁) ] = 0

[U52 (x₁, x₂, x₃) ] = 0

[U55 (x₁, x₂) ] = 0

[U32 (x₁, x₂) ] = x₁

[U91 (x₁, x₂) ] = 2 x₁ + 1

[a__U72 (x₁, x₂) ] = 0

[a__U31 (x₁, x₂) ] = 2 x₁ + 1

[u] = 0

[U56 (x₁) ] = 0

[a__U63 (x₁) ] = 0

[a__U52 (x₁, x₂, x₃) ] = 0

[a__U46 (x₁) ] = 0

[a__U61 (x₁, x₂) ] = 0

[U43 (x₁, x₂, x₃) ] = 0

[U44 (x₁, x₂, x₃) ] = 0

[a__U82 (x₁, x₂) ] = 0

[isList (x₁) ] = 2 x₁

[U42 (x₁, x₂, x₃) ] = 0

[U92 (x₁) ] = x₁ + 1

[U24 (x₁, x₂, x₃) ] = x₁

[U53 (x₁, x₂, x₃) ] = 0

[a__U11 (x₁, x₂) ] = 0

[mark (x₁) ] = x₁

[U46 (x₁) ] = 0

[a__U22 (x₁, x₂, x₃) ] = x₁

[U62 (x₁, x₂) ] = 0

[a__isPalListKind (x₁) ] = 2 x₁

[a__U12 (x₁, x₂) ] = 0

[nil] = 2

[a__isNeList (x₁) ] = 2 x₁ + 1

[a__U51 (x₁, x₂, x₃) ] = 0

[isPalListKind (x₁) ] = 2 x₁

[U11 (x₁, x₂) ] = 0

[U26 (x₁) ] = 0

[U81 (x₁, x₂) ] = 0

[a__U56 (x₁) ] = 0

[isQid (x₁) ] = 0

[a__isList (x₁) ] = 2 x₁

[U54 (x₁, x₂, x₃) ] = 0

[a__U73 (x₁, x₂) ] = 0

[a__U43 (x₁, x₂, x₃) ] = 0

[a__U42 (x₁, x₂, x₃) ] = 0

[U82 (x₁, x₂) ] = 0

[a__U62 (x₁, x₂) ] = 0

[a__U24 (x₁, x₂, x₃) ] = x₁

[U22 (x₁, x₂, x₃) ] = x₁

[U83 (x₁) ] = 0

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

none

1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1: P is empty

All dependency pairs have been removed.

The 2nd component contains the pair(s)

a__U12#( tt , V ) → a__isNeList#( V )

a__isNeList#( __( V1 , V2 ) ) → a__U41#( a__isPalListKind( V1 ) , V1 , V2 )

a__U41#( tt , V1 , V2 ) → a__U42#( a__isPalListKind( V1 ) , V1 , V2 )

a__U42#( tt , V1 , V2 ) → a__U43#( a__isPalListKind( V2 ) , V1 , V2 )

a__U43#( tt , V1 , V2 ) → a__U44#( a__isPalListKind( V2 ) , V1 , V2 )

a__U44#( tt , V1 , V2 ) → a__U45#( a__isList( V1 ) , V2 )

a__U45#( tt , V2 ) → a__isNeList#( V2 )

a__isNeList#( __( V1 , V2 ) ) → a__U51#( a__isPalListKind( V1 ) , V1 , V2 )

a__U51#( tt , V1 , V2 ) → a__U52#( a__isPalListKind( V1 ) , V1 , V2 )

a__U52#( tt , V1 , V2 ) → a__U53#( a__isPalListKind( V2 ) , V1 , V2 )

a__U53#( tt , V1 , V2 ) → a__U54#( a__isPalListKind( V2 ) , V1 , V2 )

a__U54#( tt , V1 , V2 ) → a__U55#( a__isNeList( V1 ) , V2 )

a__U55#( tt , V2 ) → a__isList#( V2 )

a__isList#( V ) → a__U11#( a__isPalListKind( V ) , V )

a__U11#( tt , V ) → a__U12#( a__isPalListKind( V ) , V )

a__isList#( __( V1 , V2 ) ) → a__U21#( a__isPalListKind( V1 ) , V1 , V2 )

a__U21#( tt , V1 , V2 ) → a__U22#( a__isPalListKind( V1 ) , V1 , V2 )

a__U22#( tt , V1 , V2 ) → a__U23#( a__isPalListKind( V2 ) , V1 , V2 )

a__U23#( tt , V1 , V2 ) → a__U24#( a__isPalListKind( V2 ) , V1 , V2 )

a__U24#( tt , V1 , V2 ) → a__U25#( a__isList( V1 ) , V2 )

a__U25#( tt , V2 ) → a__isList#( V2 )

a__U24#( tt , V1 , V2 ) → a__isList#( V1 )

a__U54#( tt , V1 , V2 ) → a__isNeList#( V1 )

a__U44#( tt , V1 , V2 ) → a__isList#( V1 )

1.1.2: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[a__U54 (x₁, x₂, x₃) ] = 0

[a] = 0

[__ (x₁, x₂) ] = 2 x₁ + x₂ + 1

[isNePal (x₁) ] = 0

[a__U21# (x₁, x₂, x₃) ] = x₁ + x₂

[U21 (x₁, x₂, x₃) ] = x₁ + 2

[U12 (x₁, x₂) ] = 0

[a__U12# (x₁, x₂) ] = x₁

[a__U83 (x₁) ] = 0

[U31 (x₁, x₂) ] = 0

[a__isNeList# (x₁) ] = x₁

[isNeList (x₁) ] = 0

[a__U22# (x₁, x₂, x₃) ] = x₁ + x₂

[isPal (x₁) ] = 0

[a__U74 (x₁) ] = 3 x₁

[a__U91 (x₁, x₂) ] = 0

[a__U71 (x₁, x₂, x₃) ] = 0

[a__U45 (x₁, x₂) ] = 0

[a__U55 (x₁, x₂) ] = 0

[a__U53 (x₁, x₂, x₃) ] = 2 x₁

[U73 (x₁, x₂) ] = x₁

[a__U43# (x₁, x₂, x₃) ] = x₁ + x₂

[e] = 0

[a__U92 (x₁) ] = 0

[a__U41# (x₁, x₂, x₃) ] = x₁ + x₂ + 1

[a__U26 (x₁) ] = 0

[U74 (x₁) ] = 3 x₁

[a__U41 (x₁, x₂, x₃) ] = 0

[a__isQid (x₁) ] = 0

[U63 (x₁) ] = 0

[U13 (x₁) ] = 0

[a____ (x₁, x₂) ] = 2 x₁ + x₂ + 1

[a__U13 (x₁) ] = 0

[a__U33 (x₁) ] = 0

[U32 (x₁, x₂) ] = 0

[a__U72 (x₁, x₂) ] = 0

[a__U25# (x₁, x₂) ] = x₁

[a__U63 (x₁) ] = 0

[a__U61 (x₁, x₂) ] = 0

[U43 (x₁, x₂, x₃) ] = 0

[U44 (x₁, x₂, x₃) ] = 0

[a__U24# (x₁, x₂, x₃) ] = x₁ + x₂

[isList (x₁) ] = 2 x₁

[U53 (x₁, x₂, x₃) ] = 2 x₁

[U46 (x₁) ] = 0

[a__isList# (x₁) ] = x₁

[a__U22 (x₁, x₂, x₃) ] = 2

[U62 (x₁, x₂) ] = 0

[a__isNeList (x₁) ] = 0

[U11 (x₁, x₂) ] = 0

[U81 (x₁, x₂) ] = 0

[a__U53# (x₁, x₂, x₃) ] = x₁ + x₂

[a__U51# (x₁, x₂, x₃) ] = x₁ + x₂

[isQid (x₁) ] = 0

[U54 (x₁, x₂, x₃) ] = 0

[a__U43 (x₁, x₂, x₃) ] = 0

[U82 (x₁, x₂) ] = 0

[a__U62 (x₁, x₂) ] = 0

[a__U24 (x₁, x₂, x₃) ] = 2

[U72 (x₁, x₂) ] = 0

[a__U52# (x₁, x₂, x₃) ] = x₁ + x₂

[U25 (x₁, x₂) ] = 0

[a__U55# (x₁, x₂) ] = x₁

[U41 (x₁, x₂, x₃) ] = 0

[i] = 1

[a__U45# (x₁, x₂) ] = x₁

[U61 (x₁, x₂) ] = 0

[U33 (x₁) ] = 0

[a__isPal (x₁) ] = 0

[U45 (x₁, x₂) ] = 0

[a__U11# (x₁, x₂) ] = x₁

[U23 (x₁, x₂, x₃) ] = 2

[a__U44 (x₁, x₂, x₃) ] = 0

[a__U81 (x₁, x₂) ] = 0

[U71 (x₁, x₂, x₃) ] = 0

[a__U32 (x₁, x₂) ] = 0

[a__U25 (x₁, x₂) ] = 0

[tt] = 0

[o] = 0

[a__U21 (x₁, x₂, x₃) ] = x₁ + 2

[a__isNePal (x₁) ] = 0

[a__U54# (x₁, x₂, x₃) ] = x₁ + x₂

[U51 (x₁, x₂, x₃) ] = 0

[a__U23 (x₁, x₂, x₃) ] = 2

[U52 (x₁, x₂, x₃) ] = 0

[U55 (x₁, x₂) ] = 0

[U91 (x₁, x₂) ] = 0

[a__U31 (x₁, x₂) ] = 0

[u] = 0

[U56 (x₁) ] = 0

[a__U52 (x₁, x₂, x₃) ] = 0

[a__U46 (x₁) ] = 0

[a__U82 (x₁, x₂) ] = 0

[U42 (x₁, x₂, x₃) ] = 0

[U92 (x₁) ] = 0

[U24 (x₁, x₂, x₃) ] = 2

[a__U11 (x₁, x₂) ] = 0

[mark (x₁) ] = x₁

[a__isPalListKind (x₁) ] = 0

[a__U12 (x₁, x₂) ] = 0

[a__U42# (x₁, x₂, x₃) ] = x₁ + x₂ + 1

[nil] = 1

[a__U44# (x₁, x₂, x₃) ] = x₁ + x₂

[isPalListKind (x₁) ] = 0

[a__U51 (x₁, x₂, x₃) ] = 0

[U26 (x₁) ] = 0

[a__U23# (x₁, x₂, x₃) ] = x₁ + x₂

[a__U56 (x₁) ] = 0

[a__isList (x₁) ] = 2 x₁

[a__U73 (x₁, x₂) ] = x₁

[a__U42 (x₁, x₂, x₃) ] = 0

[U22 (x₁, x₂, x₃) ] = 2

[U83 (x₁) ] = 0

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

a__U12#( tt , V ) → a__isNeList#( V )

a__isNeList#( __( V1 , V2 ) ) → a__U41#( a__isPalListKind( V1 ) , V1 , V2 )

a__U41#( tt , V1 , V2 ) → a__U42#( a__isPalListKind( V1 ) , V1 , V2 )

a__U43#( tt , V1 , V2 ) → a__U44#( a__isPalListKind( V2 ) , V1 , V2 )

a__U44#( tt , V1 , V2 ) → a__U45#( a__isList( V1 ) , V2 )

a__U45#( tt , V2 ) → a__isNeList#( V2 )

a__U51#( tt , V1 , V2 ) → a__U52#( a__isPalListKind( V1 ) , V1 , V2 )

a__U52#( tt , V1 , V2 ) → a__U53#( a__isPalListKind( V2 ) , V1 , V2 )

a__U53#( tt , V1 , V2 ) → a__U54#( a__isPalListKind( V2 ) , V1 , V2 )

a__U54#( tt , V1 , V2 ) → a__U55#( a__isNeList( V1 ) , V2 )

a__U55#( tt , V2 ) → a__isList#( V2 )

a__isList#( V ) → a__U11#( a__isPalListKind( V ) , V )

a__U11#( tt , V ) → a__U12#( a__isPalListKind( V ) , V )

a__U21#( tt , V1 , V2 ) → a__U22#( a__isPalListKind( V1 ) , V1 , V2 )

a__U22#( tt , V1 , V2 ) → a__U23#( a__isPalListKind( V2 ) , V1 , V2 )

a__U23#( tt , V1 , V2 ) → a__U24#( a__isPalListKind( V2 ) , V1 , V2 )

a__U24#( tt , V1 , V2 ) → a__U25#( a__isList( V1 ) , V2 )

a__U25#( tt , V2 ) → a__isList#( V2 )

a__U24#( tt , V1 , V2 ) → a__isList#( V1 )

a__U54#( tt , V1 , V2 ) → a__isNeList#( V1 )

a__U44#( tt , V1 , V2 ) → a__isList#( V1 )

1.1.2.1: dependency graph processor

The dependency pairs are split into 0 component(s).

The 3rd component contains the pair(s)

a__isNePal#( __( I , __( P , I ) ) ) → a__U71#( a__isQid( I ) , I , P )

a__U71#( tt , I , P ) → a__U72#( a__isPalListKind( I ) , P )

a__U72#( tt , P ) → a__isPal#( P )

a__isPal#( V ) → a__U81#( a__isPalListKind( V ) , V )

a__U81#( tt , V ) → a__U82#( a__isPalListKind( V ) , V )

a__U82#( tt , V ) → a__isNePal#( V )

1.1.3: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[a__U54 (x₁, x₂, x₃) ] = 0

[a] = 0

[__ (x₁, x₂) ] = 2 x₁ + x₂ + 2

[isNePal (x₁) ] = 0

[U21 (x₁, x₂, x₃) ] = 0

[U12 (x₁, x₂) ] = 0

[a__U83 (x₁) ] = 0

[U31 (x₁, x₂) ] = 0

[isNeList (x₁) ] = 0

[isPal (x₁) ] = 0

[a__U91 (x₁, x₂) ] = 1

[a__U74 (x₁) ] = 0

[a__U71 (x₁, x₂, x₃) ] = 0

[a__U45 (x₁, x₂) ] = 0

[a__U55 (x₁, x₂) ] = 0

[a__U53 (x₁, x₂, x₃) ] = 0

[a__U72# (x₁, x₂) ] = x₁

[a__U71# (x₁, x₂, x₃) ] = x₁

[U73 (x₁, x₂) ] = 0

[e] = 0

[a__U92 (x₁) ] = 0

[a__U26 (x₁) ] = 0

[U74 (x₁) ] = 0

[a__U41 (x₁, x₂, x₃) ] = 0

[U63 (x₁) ] = 0

[a__isQid (x₁) ] = 0

[U13 (x₁) ] = 0

[a____ (x₁, x₂) ] = 2 x₁ + x₂ + 2

[a__U13 (x₁) ] = 0

[a__U33 (x₁) ] = 0

[U32 (x₁, x₂) ] = 0

[a__U72 (x₁, x₂) ] = 0

[a__U63 (x₁) ] = 0

[a__U61 (x₁, x₂) ] = 0

[U43 (x₁, x₂, x₃) ] = 0

[U44 (x₁, x₂, x₃) ] = 0

[isList (x₁) ] = 0

[U53 (x₁, x₂, x₃) ] = 0

[U46 (x₁) ] = 0

[U62 (x₁, x₂) ] = 0

[a__U22 (x₁, x₂, x₃) ] = 0

[a__isNeList (x₁) ] = 0

[U11 (x₁, x₂) ] = 0

[U81 (x₁, x₂) ] = 0

[a__isNePal# (x₁) ] = x₁

[isQid (x₁) ] = 0

[U54 (x₁, x₂, x₃) ] = 0

[a__U43 (x₁, x₂, x₃) ] = 0

[U82 (x₁, x₂) ] = 0

[a__U62 (x₁, x₂) ] = 0

[a__U24 (x₁, x₂, x₃) ] = 0

[U72 (x₁, x₂) ] = 0

[U25 (x₁, x₂) ] = 0

[U41 (x₁, x₂, x₃) ] = 0

[i] = 0

[a__isPal# (x₁) ] = x₁

[U33 (x₁) ] = 0

[U61 (x₁, x₂) ] = 0

[a__isPal (x₁) ] = 0

[U45 (x₁, x₂) ] = 0

[U23 (x₁, x₂, x₃) ] = 0

[a__U44 (x₁, x₂, x₃) ] = 0

[a__U81# (x₁, x₂) ] = x₁

[a__U81 (x₁, x₂) ] = 0

[U71 (x₁, x₂, x₃) ] = 0

[a__U32 (x₁, x₂) ] = 0

[a__U25 (x₁, x₂) ] = 0

[tt] = 0

[o] = 0

[a__U21 (x₁, x₂, x₃) ] = 0

[a__isNePal (x₁) ] = 0

[U51 (x₁, x₂, x₃) ] = 0

[a__U23 (x₁, x₂, x₃) ] = 0

[U52 (x₁, x₂, x₃) ] = 0

[U55 (x₁, x₂) ] = 0

[U91 (x₁, x₂) ] = 1

[a__U82# (x₁, x₂) ] = x₁

[a__U31 (x₁, x₂) ] = 0

[u] = 0

[U56 (x₁) ] = 0

[a__U52 (x₁, x₂, x₃) ] = 0

[a__U46 (x₁) ] = 0

[a__U82 (x₁, x₂) ] = 0

[U42 (x₁, x₂, x₃) ] = 0

[U92 (x₁) ] = 0

[U24 (x₁, x₂, x₃) ] = 0

[a__U11 (x₁, x₂) ] = 0

[mark (x₁) ] = x₁

[a__isPalListKind (x₁) ] = x₁

[a__U12 (x₁, x₂) ] = 0

[nil] = 2

[a__U51 (x₁, x₂, x₃) ] = 0

[isPalListKind (x₁) ] = x₁

[U26 (x₁) ] = 0

[a__U56 (x₁) ] = 0

[a__isList (x₁) ] = 0

[a__U73 (x₁, x₂) ] = 0

[a__U42 (x₁, x₂, x₃) ] = 0

[U83 (x₁) ] = 0

[U22 (x₁, x₂, x₃) ] = 0

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

a__U71#( tt , I , P ) → a__U72#( a__isPalListKind( I ) , P )

a__U72#( tt , P ) → a__isPal#( P )

a__isPal#( V ) → a__U81#( a__isPalListKind( V ) , V )

a__U81#( tt , V ) → a__U82#( a__isPalListKind( V ) , V )

a__U82#( tt , V ) → a__isNePal#( V )

1.1.3.1: dependency graph processor

The dependency pairs are split into 0 component(s).

The 4th component contains the pair(s)

a__U91#( tt , V2 ) → a__isPalListKind#( V2 )

a__isPalListKind#( __( V1 , V2 ) ) → a__U91#( a__isPalListKind( V1 ) , V2 )

a__isPalListKind#( __( V1 , V2 ) ) → a__isPalListKind#( V1 )

1.1.4: reduction pair processor

Using the following reduction pair

Linear polynomial interpretation over the naturals

[U72 (x₁, x₂) ] = 0

[a__U54 (x₁, x₂, x₃) ] = 0

[a] = 2

[__ (x₁, x₂) ] = 2 x₁ + x₂ + 2

[isNePal (x₁) ] = 0

[U25 (x₁, x₂) ] = 0

[U21 (x₁, x₂, x₃) ] = 2 x₁ + 2

[U12 (x₁, x₂) ] = 0

[U41 (x₁, x₂, x₃) ] = 0

[i] = 1

[a__U83 (x₁) ] = 0

[U31 (x₁, x₂) ] = 0

[U61 (x₁, x₂) ] = 0

[U33 (x₁) ] = 0

[isNeList (x₁) ] = 2 x₁

[a__isPal (x₁) ] = 0

[U45 (x₁, x₂) ] = 0

[a__U91 (x₁, x₂) ] = 0

[a__U74 (x₁) ] = 0

[isPal (x₁) ] = 0

[a__U71 (x₁, x₂, x₃) ] = 0

[U23 (x₁, x₂, x₃) ] = 2 x₁

[a__U44 (x₁, x₂, x₃) ] = 0

[a__U45 (x₁, x₂) ] = 0

[a__U55 (x₁, x₂) ] = 0

[a__U81 (x₁, x₂) ] = 0

[U71 (x₁, x₂, x₃) ] = 0

[a__U53 (x₁, x₂, x₃) ] = 0

[a__U32 (x₁, x₂) ] = 0

[a__U25 (x₁, x₂) ] = 0

[U73 (x₁, x₂) ] = 0

[tt] = 0

[o] = 0

[e] = 1

[a__U21 (x₁, x₂, x₃) ] = 2 x₁ + 2

[a__isNePal (x₁) ] = 0

[a__U92 (x₁) ] = 0

[U51 (x₁, x₂, x₃) ] = 0

[a__U26 (x₁) ] = 0

[U74 (x₁) ] = 0

[a__U41 (x₁, x₂, x₃) ] = 0

[a__U23 (x₁, x₂, x₃) ] = 2 x₁

[U63 (x₁) ] = 0

[a__isQid (x₁) ] = x₁

[U13 (x₁) ] = 0

[a____ (x₁, x₂) ] = 2 x₁ + x₂ + 2

[a__U33 (x₁) ] = 0

[a__U13 (x₁) ] = 0

[U52 (x₁, x₂, x₃) ] = 0

[U55 (x₁, x₂) ] = 0

[U32 (x₁, x₂) ] = 0

[a__isPalListKind# (x₁) ] = 2 x₁

[U91 (x₁, x₂) ] = 0

[a__U72 (x₁, x₂) ] = 0

[a__U31 (x₁, x₂) ] = 0

[u] = 0

[U56 (x₁) ] = 0

[a__U63 (x₁) ] = 0

[a__U52 (x₁, x₂, x₃) ] = 0

[a__U46 (x₁) ] = 0

[a__U61 (x₁, x₂) ] = 0

[U43 (x₁, x₂, x₃) ] = 0

[U44 (x₁, x₂, x₃) ] = 0

[a__U82 (x₁, x₂) ] = 0

[isList (x₁) ] = 2 x₁

[U42 (x₁, x₂, x₃) ] = 0

[U92 (x₁) ] = 0

[a__U91# (x₁, x₂) ] = 2 x₁ + 2 x₂

[U24 (x₁, x₂, x₃) ] = 0

[U53 (x₁, x₂, x₃) ] = 0

[a__U11 (x₁, x₂) ] = x₁

[mark (x₁) ] = x₁

[U46 (x₁) ] = 0

[a__U22 (x₁, x₂, x₃) ] = 2 x₁

[U62 (x₁, x₂) ] = 0

[a__isPalListKind (x₁) ] = 2 x₁

[a__U12 (x₁, x₂) ] = 0

[nil] = 2

[a__isNeList (x₁) ] = 2 x₁

[a__U51 (x₁, x₂, x₃) ] = 0

[isPalListKind (x₁) ] = 2 x₁

[U11 (x₁, x₂) ] = x₁

[U26 (x₁) ] = 0

[U81 (x₁, x₂) ] = 0

[a__U56 (x₁) ] = 0

[isQid (x₁) ] = x₁

[a__isList (x₁) ] = 2 x₁

[U54 (x₁, x₂, x₃) ] = 0

[a__U73 (x₁, x₂) ] = 0

[a__U43 (x₁, x₂, x₃) ] = 0

[a__U42 (x₁, x₂, x₃) ] = 0

[U82 (x₁, x₂) ] = 0

[a__U62 (x₁, x₂) ] = 0

[a__U24 (x₁, x₂, x₃) ] = 0

[U22 (x₁, x₂, x₃) ] = 2 x₁

[U83 (x₁) ] = 0

[f(x₁, ..., x_n)] = x₁ + ... + x_n + 1 for all other symbols f of arity n

one remains with the following pair(s).

a__U91#( tt , V2 ) → a__isPalListKind#( V2 )

1.1.4.1: dependency graph processor

The dependency pairs are split into 0 component(s).

a____#( __( X , Y ) , Z )	→	a____#( mark( X ) , a____( mark( Y ) , mark( Z ) ) )
a____#( __( X , Y ) , Z )	→	mark#( X )
a____#( __( X , Y ) , Z )	→	a____#( mark( Y ) , mark( Z ) )
a____#( __( X , Y ) , Z )	→	mark#( Y )
a____#( __( X , Y ) , Z )	→	mark#( Z )
a____#( X , nil )	→	mark#( X )
a____#( nil , X )	→	mark#( X )
a__U11#( tt , V )	→	a__U12#( a__isPalListKind( V ) , V )
a__U11#( tt , V )	→	a__isPalListKind#( V )
a__U12#( tt , V )	→	a__U13#( a__isNeList( V ) )
a__U12#( tt , V )	→	a__isNeList#( V )
a__U21#( tt , V1 , V2 )	→	a__U22#( a__isPalListKind( V1 ) , V1 , V2 )
a__U21#( tt , V1 , V2 )	→	a__isPalListKind#( V1 )
a__U22#( tt , V1 , V2 )	→	a__U23#( a__isPalListKind( V2 ) , V1 , V2 )
a__U22#( tt , V1 , V2 )	→	a__isPalListKind#( V2 )
a__U23#( tt , V1 , V2 )	→	a__U24#( a__isPalListKind( V2 ) , V1 , V2 )
a__U23#( tt , V1 , V2 )	→	a__isPalListKind#( V2 )
a__U24#( tt , V1 , V2 )	→	a__U25#( a__isList( V1 ) , V2 )
a__U24#( tt , V1 , V2 )	→	a__isList#( V1 )
a__U25#( tt , V2 )	→	a__U26#( a__isList( V2 ) )
a__U25#( tt , V2 )	→	a__isList#( V2 )
a__U31#( tt , V )	→	a__U32#( a__isPalListKind( V ) , V )
a__U31#( tt , V )	→	a__isPalListKind#( V )
a__U32#( tt , V )	→	a__U33#( a__isQid( V ) )
a__U32#( tt , V )	→	a__isQid#( V )
a__U41#( tt , V1 , V2 )	→	a__U42#( a__isPalListKind( V1 ) , V1 , V2 )
a__U41#( tt , V1 , V2 )	→	a__isPalListKind#( V1 )
a__U42#( tt , V1 , V2 )	→	a__U43#( a__isPalListKind( V2 ) , V1 , V2 )
a__U42#( tt , V1 , V2 )	→	a__isPalListKind#( V2 )
a__U43#( tt , V1 , V2 )	→	a__U44#( a__isPalListKind( V2 ) , V1 , V2 )
a__U43#( tt , V1 , V2 )	→	a__isPalListKind#( V2 )
a__U44#( tt , V1 , V2 )	→	a__U45#( a__isList( V1 ) , V2 )
a__U44#( tt , V1 , V2 )	→	a__isList#( V1 )
a__U45#( tt , V2 )	→	a__U46#( a__isNeList( V2 ) )
a__U45#( tt , V2 )	→	a__isNeList#( V2 )
a__U51#( tt , V1 , V2 )	→	a__U52#( a__isPalListKind( V1 ) , V1 , V2 )
a__U51#( tt , V1 , V2 )	→	a__isPalListKind#( V1 )
a__U52#( tt , V1 , V2 )	→	a__U53#( a__isPalListKind( V2 ) , V1 , V2 )
a__U52#( tt , V1 , V2 )	→	a__isPalListKind#( V2 )
a__U53#( tt , V1 , V2 )	→	a__U54#( a__isPalListKind( V2 ) , V1 , V2 )
a__U53#( tt , V1 , V2 )	→	a__isPalListKind#( V2 )
a__U54#( tt , V1 , V2 )	→	a__U55#( a__isNeList( V1 ) , V2 )
a__U54#( tt , V1 , V2 )	→	a__isNeList#( V1 )
a__U55#( tt , V2 )	→	a__U56#( a__isList( V2 ) )
a__U55#( tt , V2 )	→	a__isList#( V2 )
a__U61#( tt , V )	→	a__U62#( a__isPalListKind( V ) , V )
a__U61#( tt , V )	→	a__isPalListKind#( V )
a__U62#( tt , V )	→	a__U63#( a__isQid( V ) )
a__U62#( tt , V )	→	a__isQid#( V )
a__U71#( tt , I , P )	→	a__U72#( a__isPalListKind( I ) , P )
a__U71#( tt , I , P )	→	a__isPalListKind#( I )
a__U72#( tt , P )	→	a__U73#( a__isPal( P ) , P )
a__U72#( tt , P )	→	a__isPal#( P )
a__U73#( tt , P )	→	a__U74#( a__isPalListKind( P ) )
a__U73#( tt , P )	→	a__isPalListKind#( P )
a__U81#( tt , V )	→	a__U82#( a__isPalListKind( V ) , V )
a__U81#( tt , V )	→	a__isPalListKind#( V )
a__U82#( tt , V )	→	a__U83#( a__isNePal( V ) )
a__U82#( tt , V )	→	a__isNePal#( V )
a__U91#( tt , V2 )	→	a__U92#( a__isPalListKind( V2 ) )
a__U91#( tt , V2 )	→	a__isPalListKind#( V2 )
a__isList#( V )	→	a__U11#( a__isPalListKind( V ) , V )
a__isList#( V )	→	a__isPalListKind#( V )
a__isList#( __( V1 , V2 ) )	→	a__U21#( a__isPalListKind( V1 ) , V1 , V2 )
a__isList#( __( V1 , V2 ) )	→	a__isPalListKind#( V1 )
a__isNeList#( V )	→	a__U31#( a__isPalListKind( V ) , V )
a__isNeList#( V )	→	a__isPalListKind#( V )
a__isNeList#( __( V1 , V2 ) )	→	a__U41#( a__isPalListKind( V1 ) , V1 , V2 )
a__isNeList#( __( V1 , V2 ) )	→	a__isPalListKind#( V1 )
a__isNeList#( __( V1 , V2 ) )	→	a__U51#( a__isPalListKind( V1 ) , V1 , V2 )
a__isNeList#( __( V1 , V2 ) )	→	a__isPalListKind#( V1 )
a__isNePal#( V )	→	a__U61#( a__isPalListKind( V ) , V )
a__isNePal#( V )	→	a__isPalListKind#( V )
a__isNePal#( __( I , __( P , I ) ) )	→	a__U71#( a__isQid( I ) , I , P )
a__isNePal#( __( I , __( P , I ) ) )	→	a__isQid#( I )
a__isPal#( V )	→	a__U81#( a__isPalListKind( V ) , V )
a__isPal#( V )	→	a__isPalListKind#( V )
a__isPalListKind#( __( V1 , V2 ) )	→	a__U91#( a__isPalListKind( V1 ) , V2 )
a__isPalListKind#( __( V1 , V2 ) )	→	a__isPalListKind#( V1 )
mark#( __( X1 , X2 ) )	→	a____#( mark( X1 ) , mark( X2 ) )
mark#( __( X1 , X2 ) )	→	mark#( X1 )
mark#( __( X1 , X2 ) )	→	mark#( X2 )
mark#( U11( X1 , X2 ) )	→	a__U11#( mark( X1 ) , X2 )
mark#( U11( X1 , X2 ) )	→	mark#( X1 )
mark#( U12( X1 , X2 ) )	→	a__U12#( mark( X1 ) , X2 )
mark#( U12( X1 , X2 ) )	→	mark#( X1 )
mark#( isPalListKind( X ) )	→	a__isPalListKind#( X )
mark#( U13( X ) )	→	a__U13#( mark( X ) )
mark#( U13( X ) )	→	mark#( X )
mark#( isNeList( X ) )	→	a__isNeList#( X )
mark#( U21( X1 , X2 , X3 ) )	→	a__U21#( mark( X1 ) , X2 , X3 )
mark#( U21( X1 , X2 , X3 ) )	→	mark#( X1 )
mark#( U22( X1 , X2 , X3 ) )	→	a__U22#( mark( X1 ) , X2 , X3 )
mark#( U22( X1 , X2 , X3 ) )	→	mark#( X1 )
mark#( U23( X1 , X2 , X3 ) )	→	a__U23#( mark( X1 ) , X2 , X3 )
mark#( U23( X1 , X2 , X3 ) )	→	mark#( X1 )
mark#( U24( X1 , X2 , X3 ) )	→	a__U24#( mark( X1 ) , X2 , X3 )
mark#( U24( X1 , X2 , X3 ) )	→	mark#( X1 )
mark#( U25( X1 , X2 ) )	→	a__U25#( mark( X1 ) , X2 )
mark#( U25( X1 , X2 ) )	→	mark#( X1 )
mark#( isList( X ) )	→	a__isList#( X )
mark#( U26( X ) )	→	a__U26#( mark( X ) )
mark#( U26( X ) )	→	mark#( X )
mark#( U31( X1 , X2 ) )	→	a__U31#( mark( X1 ) , X2 )
mark#( U31( X1 , X2 ) )	→	mark#( X1 )
mark#( U32( X1 , X2 ) )	→	a__U32#( mark( X1 ) , X2 )
mark#( U32( X1 , X2 ) )	→	mark#( X1 )
mark#( U33( X ) )	→	a__U33#( mark( X ) )
mark#( U33( X ) )	→	mark#( X )
mark#( isQid( X ) )	→	a__isQid#( X )
mark#( U41( X1 , X2 , X3 ) )	→	a__U41#( mark( X1 ) , X2 , X3 )
mark#( U41( X1 , X2 , X3 ) )	→	mark#( X1 )
mark#( U42( X1 , X2 , X3 ) )	→	a__U42#( mark( X1 ) , X2 , X3 )
mark#( U42( X1 , X2 , X3 ) )	→	mark#( X1 )
mark#( U43( X1 , X2 , X3 ) )	→	a__U43#( mark( X1 ) , X2 , X3 )
mark#( U43( X1 , X2 , X3 ) )	→	mark#( X1 )
mark#( U44( X1 , X2 , X3 ) )	→	a__U44#( mark( X1 ) , X2 , X3 )
mark#( U44( X1 , X2 , X3 ) )	→	mark#( X1 )
mark#( U45( X1 , X2 ) )	→	a__U45#( mark( X1 ) , X2 )
mark#( U45( X1 , X2 ) )	→	mark#( X1 )
mark#( U46( X ) )	→	a__U46#( mark( X ) )
mark#( U46( X ) )	→	mark#( X )
mark#( U51( X1 , X2 , X3 ) )	→	a__U51#( mark( X1 ) , X2 , X3 )
mark#( U51( X1 , X2 , X3 ) )	→	mark#( X1 )
mark#( U52( X1 , X2 , X3 ) )	→	a__U52#( mark( X1 ) , X2 , X3 )
mark#( U52( X1 , X2 , X3 ) )	→	mark#( X1 )
mark#( U53( X1 , X2 , X3 ) )	→	a__U53#( mark( X1 ) , X2 , X3 )
mark#( U53( X1 , X2 , X3 ) )	→	mark#( X1 )
mark#( U54( X1 , X2 , X3 ) )	→	a__U54#( mark( X1 ) , X2 , X3 )
mark#( U54( X1 , X2 , X3 ) )	→	mark#( X1 )
mark#( U55( X1 , X2 ) )	→	a__U55#( mark( X1 ) , X2 )
mark#( U55( X1 , X2 ) )	→	mark#( X1 )
mark#( U56( X ) )	→	a__U56#( mark( X ) )
mark#( U56( X ) )	→	mark#( X )
mark#( U61( X1 , X2 ) )	→	a__U61#( mark( X1 ) , X2 )
mark#( U61( X1 , X2 ) )	→	mark#( X1 )
mark#( U62( X1 , X2 ) )	→	a__U62#( mark( X1 ) , X2 )
mark#( U62( X1 , X2 ) )	→	mark#( X1 )
mark#( U63( X ) )	→	a__U63#( mark( X ) )
mark#( U63( X ) )	→	mark#( X )
mark#( U71( X1 , X2 , X3 ) )	→	a__U71#( mark( X1 ) , X2 , X3 )
mark#( U71( X1 , X2 , X3 ) )	→	mark#( X1 )
mark#( U72( X1 , X2 ) )	→	a__U72#( mark( X1 ) , X2 )
mark#( U72( X1 , X2 ) )	→	mark#( X1 )
mark#( U73( X1 , X2 ) )	→	a__U73#( mark( X1 ) , X2 )
mark#( U73( X1 , X2 ) )	→	mark#( X1 )
mark#( isPal( X ) )	→	a__isPal#( X )
mark#( U74( X ) )	→	a__U74#( mark( X ) )
mark#( U74( X ) )	→	mark#( X )
mark#( U81( X1 , X2 ) )	→	a__U81#( mark( X1 ) , X2 )
mark#( U81( X1 , X2 ) )	→	mark#( X1 )
mark#( U82( X1 , X2 ) )	→	a__U82#( mark( X1 ) , X2 )
mark#( U82( X1 , X2 ) )	→	mark#( X1 )
mark#( U83( X ) )	→	a__U83#( mark( X ) )
mark#( U83( X ) )	→	mark#( X )
mark#( isNePal( X ) )	→	a__isNePal#( X )
mark#( U91( X1 , X2 ) )	→	a__U91#( mark( X1 ) , X2 )
mark#( U91( X1 , X2 ) )	→	mark#( X1 )
mark#( U92( X ) )	→	a__U92#( mark( X ) )
mark#( U92( X ) )	→	mark#( X )

[U72 (x₁, x₂) ]	=	2 x₁
[a__U54 (x₁, x₂, x₃) ]	=	x₁
[a]	=	0
[__ (x₁, x₂) ]	=	2 x₁ + x₂ + 1
[isNePal (x₁) ]	=	0
[U25 (x₁, x₂) ]	=	2 x₁
[U21 (x₁, x₂, x₃) ]	=	x₁
[U12 (x₁, x₂) ]	=	2 x₁
[U41 (x₁, x₂, x₃) ]	=	x₁
[i]	=	0
[a__U83 (x₁) ]	=	2 x₁
[U61 (x₁, x₂) ]	=	x₁
[U33 (x₁) ]	=	x₁
[U31 (x₁, x₂) ]	=	x₁
[isNeList (x₁) ]	=	0
[U45 (x₁, x₂) ]	=	x₁
[a__isPal (x₁) ]	=	0
[a__U74 (x₁) ]	=	2 x₁
[a__U91 (x₁, x₂) ]	=	x₁
[isPal (x₁) ]	=	0
[U23 (x₁, x₂, x₃) ]	=	x₁
[a__U71 (x₁, x₂, x₃) ]	=	2 x₁
[a__U44 (x₁, x₂, x₃) ]	=	x₁
[a____# (x₁, x₂) ]	=	2 x₁ + x₂ + 2
[a__U45 (x₁, x₂) ]	=	x₁
[a__U55 (x₁, x₂) ]	=	2 x₁
[a__U81 (x₁, x₂) ]	=	x₁
[U71 (x₁, x₂, x₃) ]	=	2 x₁
[a__U53 (x₁, x₂, x₃) ]	=	x₁
[a__U32 (x₁, x₂) ]	=	2 x₁
[a__U25 (x₁, x₂) ]	=	2 x₁
[mark# (x₁) ]	=	x₁ + 2
[U73 (x₁, x₂) ]	=	2 x₁
[tt]	=	0
[o]	=	0
[e]	=	0
[a__U21 (x₁, x₂, x₃) ]	=	x₁
[a__U92 (x₁) ]	=	x₁
[a__isNePal (x₁) ]	=	0
[U51 (x₁, x₂, x₃) ]	=	2 x₁
[a__U26 (x₁) ]	=	x₁
[U74 (x₁) ]	=	2 x₁
[a__U41 (x₁, x₂, x₃) ]	=	x₁
[a__U23 (x₁, x₂, x₃) ]	=	x₁
[a__isQid (x₁) ]	=	0
[U63 (x₁) ]	=	x₁
[a____ (x₁, x₂) ]	=	2 x₁ + x₂ + 1
[U13 (x₁) ]	=	x₁
[a__U13 (x₁) ]	=	x₁
[a__U33 (x₁) ]	=	x₁
[U52 (x₁, x₂, x₃) ]	=	x₁
[U55 (x₁, x₂) ]	=	2 x₁
[U32 (x₁, x₂) ]	=	2 x₁
[U91 (x₁, x₂) ]	=	x₁
[a__U72 (x₁, x₂) ]	=	2 x₁
[a__U31 (x₁, x₂) ]	=	x₁
[u]	=	0
[U56 (x₁) ]	=	2 x₁
[a__U63 (x₁) ]	=	x₁
[a__U46 (x₁) ]	=	x₁
[a__U52 (x₁, x₂, x₃) ]	=	x₁
[a__U61 (x₁, x₂) ]	=	x₁
[U43 (x₁, x₂, x₃) ]	=	x₁
[U44 (x₁, x₂, x₃) ]	=	x₁
[U42 (x₁, x₂, x₃) ]	=	2 x₁
[a__U82 (x₁, x₂) ]	=	2 x₁
[isList (x₁) ]	=	0
[U92 (x₁) ]	=	x₁
[U53 (x₁, x₂, x₃) ]	=	x₁
[U24 (x₁, x₂, x₃) ]	=	2 x₁
[a__U11 (x₁, x₂) ]	=	x₁
[mark (x₁) ]	=	x₁
[U46 (x₁) ]	=	x₁
[U62 (x₁, x₂) ]	=	x₁
[a__U22 (x₁, x₂, x₃) ]	=	2 x₁
[a__isPalListKind (x₁) ]	=	0
[a__U12 (x₁, x₂) ]	=	2 x₁
[nil]	=	0
[a__isNeList (x₁) ]	=	0
[a__U51 (x₁, x₂, x₃) ]	=	2 x₁
[isPalListKind (x₁) ]	=	0
[U11 (x₁, x₂) ]	=	x₁
[U26 (x₁) ]	=	x₁
[U81 (x₁, x₂) ]	=	x₁
[a__U56 (x₁) ]	=	2 x₁
[isQid (x₁) ]	=	0
[a__isList (x₁) ]	=	0
[U54 (x₁, x₂, x₃) ]	=	x₁
[a__U73 (x₁, x₂) ]	=	2 x₁
[a__U43 (x₁, x₂, x₃) ]	=	x₁
[U82 (x₁, x₂) ]	=	2 x₁
[a__U42 (x₁, x₂, x₃) ]	=	2 x₁
[a__U62 (x₁, x₂) ]	=	x₁
[U83 (x₁) ]	=	2 x₁
[U22 (x₁, x₂, x₃) ]	=	2 x₁
[a__U24 (x₁, x₂, x₃) ]	=	2 x₁
[f(x₁, ..., x_n)]	=	x₁ + ... + x_n + 1	for all other symbols f of arity n

[U72 (x₁, x₂) ]	=	2 x₁ + 2
[a__U54 (x₁, x₂, x₃) ]	=	x₁
[a]	=	0
[__ (x₁, x₂) ]	=	2 x₁ + x₂
[isNePal (x₁) ]	=	2
[U25 (x₁, x₂) ]	=	2 x₁
[U21 (x₁, x₂, x₃) ]	=	x₁
[U12 (x₁, x₂) ]	=	2 x₁
[U41 (x₁, x₂, x₃) ]	=	2 x₁
[i]	=	0
[a__U83 (x₁) ]	=	x₁
[U61 (x₁, x₂) ]	=	x₁ + 1
[U31 (x₁, x₂) ]	=	2 x₁
[U33 (x₁) ]	=	x₁
[isNeList (x₁) ]	=	0
[U45 (x₁, x₂) ]	=	2 x₁
[a__isPal (x₁) ]	=	2
[a__U74 (x₁) ]	=	x₁
[a__U91 (x₁, x₂) ]	=	x₁
[isPal (x₁) ]	=	2
[U23 (x₁, x₂, x₃) ]	=	x₁
[a__U71 (x₁, x₂, x₃) ]	=	2 x₁ + 2
[a__U44 (x₁, x₂, x₃) ]	=	x₁
[a__U45 (x₁, x₂) ]	=	2 x₁
[a__U55 (x₁, x₂) ]	=	x₁
[a__U81 (x₁, x₂) ]	=	x₁ + 2
[U71 (x₁, x₂, x₃) ]	=	2 x₁ + 2
[a__U53 (x₁, x₂, x₃) ]	=	2 x₁
[a__U32 (x₁, x₂) ]	=	2 x₁
[a__U25 (x₁, x₂) ]	=	2 x₁
[mark# (x₁) ]	=	x₁
[U73 (x₁, x₂) ]	=	x₁
[tt]	=	0
[o]	=	0
[e]	=	1
[a__U21 (x₁, x₂, x₃) ]	=	x₁
[a__U92 (x₁) ]	=	x₁
[a__isNePal (x₁) ]	=	2
[U51 (x₁, x₂, x₃) ]	=	2 x₁
[a__U26 (x₁) ]	=	x₁
[U74 (x₁) ]	=	x₁
[a__U41 (x₁, x₂, x₃) ]	=	2 x₁
[a__U23 (x₁, x₂, x₃) ]	=	x₁
[a__isQid (x₁) ]	=	0
[U63 (x₁) ]	=	x₁ + 1
[U13 (x₁) ]	=	2 x₁
[a____ (x₁, x₂) ]	=	2 x₁ + x₂
[a__U33 (x₁) ]	=	x₁
[a__U13 (x₁) ]	=	2 x₁
[U52 (x₁, x₂, x₃) ]	=	x₁
[U55 (x₁, x₂) ]	=	x₁
[U32 (x₁, x₂) ]	=	2 x₁
[U91 (x₁, x₂) ]	=	x₁
[a__U72 (x₁, x₂) ]	=	2 x₁ + 2
[a__U31 (x₁, x₂) ]	=	2 x₁
[u]	=	0
[U56 (x₁) ]	=	2 x₁
[a__U63 (x₁) ]	=	x₁ + 1
[a__U46 (x₁) ]	=	2 x₁
[a__U52 (x₁, x₂, x₃) ]	=	x₁
[a__U61 (x₁, x₂) ]	=	x₁ + 1
[U43 (x₁, x₂, x₃) ]	=	2 x₁
[U44 (x₁, x₂, x₃) ]	=	x₁
[U42 (x₁, x₂, x₃) ]	=	x₁
[a__U82 (x₁, x₂) ]	=	2 x₁ + 2
[isList (x₁) ]	=	0
[U92 (x₁) ]	=	x₁
[U24 (x₁, x₂, x₃) ]	=	x₁
[U53 (x₁, x₂, x₃) ]	=	2 x₁
[a__U11 (x₁, x₂) ]	=	2 x₁
[mark (x₁) ]	=	x₁
[U46 (x₁) ]	=	2 x₁
[a__U22 (x₁, x₂, x₃) ]	=	2 x₁
[U62 (x₁, x₂) ]	=	2 x₁ + 1
[a__isPalListKind (x₁) ]	=	0
[a__U12 (x₁, x₂) ]	=	2 x₁
[nil]	=	2
[a__isNeList (x₁) ]	=	0
[a__U51 (x₁, x₂, x₃) ]	=	2 x₁
[isPalListKind (x₁) ]	=	0
[U26 (x₁) ]	=	x₁
[U11 (x₁, x₂) ]	=	2 x₁
[U81 (x₁, x₂) ]	=	x₁ + 2
[a__U56 (x₁) ]	=	2 x₁
[isQid (x₁) ]	=	0
[a__isList (x₁) ]	=	0
[U54 (x₁, x₂, x₃) ]	=	x₁
[a__U73 (x₁, x₂) ]	=	x₁
[a__U43 (x₁, x₂, x₃) ]	=	2 x₁
[U82 (x₁, x₂) ]	=	2 x₁ + 2
[a__U42 (x₁, x₂, x₃) ]	=	x₁
[a__U62 (x₁, x₂) ]	=	2 x₁ + 1
[U83 (x₁) ]	=	x₁
[U22 (x₁, x₂, x₃) ]	=	2 x₁
[a__U24 (x₁, x₂, x₃) ]	=	x₁
[f(x₁, ..., x_n)]	=	x₁ + ... + x_n + 1	for all other symbols f of arity n

[U72 (x₁, x₂) ]	=	3 x₁ + 1
[a__U54 (x₁, x₂, x₃) ]	=	2 x₁
[a]	=	0
[__ (x₁, x₂) ]	=	3 x₁ + x₂ + 1
[isNePal (x₁) ]	=	x₁
[U25 (x₁, x₂) ]	=	2 x₁
[U21 (x₁, x₂, x₃) ]	=	x₁
[U12 (x₁, x₂) ]	=	x₁
[U41 (x₁, x₂, x₃) ]	=	x₁
[i]	=	1
[a__U83 (x₁) ]	=	x₁
[U33 (x₁) ]	=	x₁
[U61 (x₁, x₂) ]	=	3 x₁
[U31 (x₁, x₂) ]	=	x₁
[isNeList (x₁) ]	=	0
[U45 (x₁, x₂) ]	=	x₁
[a__isPal (x₁) ]	=	x₁
[a__U74 (x₁) ]	=	2 x₁ + 1
[a__U91 (x₁, x₂) ]	=	x₁
[isPal (x₁) ]	=	x₁
[U23 (x₁, x₂, x₃) ]	=	2 x₁
[a__U71 (x₁, x₂, x₃) ]	=	3 x₁ + 1
[a__U44 (x₁, x₂, x₃) ]	=	2 x₁
[a__U45 (x₁, x₂) ]	=	x₁
[a__U55 (x₁, x₂) ]	=	x₁
[a__U81 (x₁, x₂) ]	=	x₁
[U71 (x₁, x₂, x₃) ]	=	3 x₁ + 1
[a__U53 (x₁, x₂, x₃) ]	=	2 x₁
[a__U25 (x₁, x₂) ]	=	2 x₁
[a__U32 (x₁, x₂) ]	=	x₁
[mark# (x₁) ]	=	2 x₁
[U73 (x₁, x₂) ]	=	2 x₁ + 1
[tt]	=	0
[o]	=	0
[e]	=	0
[a__U21 (x₁, x₂, x₃) ]	=	x₁
[a__U92 (x₁) ]	=	2 x₁
[a__isNePal (x₁) ]	=	x₁
[U51 (x₁, x₂, x₃) ]	=	2 x₁
[a__U26 (x₁) ]	=	2 x₁
[U74 (x₁) ]	=	2 x₁ + 1
[a__U41 (x₁, x₂, x₃) ]	=	x₁
[a__U23 (x₁, x₂, x₃) ]	=	2 x₁
[U63 (x₁) ]	=	0
[a__isQid (x₁) ]	=	0
[U13 (x₁) ]	=	2 x₁
[a____ (x₁, x₂) ]	=	3 x₁ + x₂ + 1
[a__U33 (x₁) ]	=	x₁
[a__U13 (x₁) ]	=	2 x₁
[U52 (x₁, x₂, x₃) ]	=	2 x₁
[U55 (x₁, x₂) ]	=	x₁
[U32 (x₁, x₂) ]	=	x₁
[U91 (x₁, x₂) ]	=	x₁
[a__U72 (x₁, x₂) ]	=	3 x₁ + 1
[a__U31 (x₁, x₂) ]	=	x₁
[u]	=	1
[U56 (x₁) ]	=	2 x₁
[a__U63 (x₁) ]	=	0
[a__U46 (x₁) ]	=	x₁
[a__U52 (x₁, x₂, x₃) ]	=	2 x₁
[a__U61 (x₁, x₂) ]	=	3 x₁
[U43 (x₁, x₂, x₃) ]	=	2 x₁
[U44 (x₁, x₂, x₃) ]	=	2 x₁
[U42 (x₁, x₂, x₃) ]	=	2 x₁
[a__U82 (x₁, x₂) ]	=	x₁
[isList (x₁) ]	=	0
[U92 (x₁) ]	=	2 x₁
[U24 (x₁, x₂, x₃) ]	=	2 x₁
[U53 (x₁, x₂, x₃) ]	=	2 x₁
[a__U11 (x₁, x₂) ]	=	x₁
[mark (x₁) ]	=	x₁
[U46 (x₁) ]	=	x₁
[a__U22 (x₁, x₂, x₃) ]	=	2 x₁
[U62 (x₁, x₂) ]	=	0
[a__isPalListKind (x₁) ]	=	0
[a__U12 (x₁, x₂) ]	=	x₁
[nil]	=	0
[a__isNeList (x₁) ]	=	0
[a__U51 (x₁, x₂, x₃) ]	=	2 x₁
[isPalListKind (x₁) ]	=	0
[U26 (x₁) ]	=	2 x₁
[U11 (x₁, x₂) ]	=	x₁
[U81 (x₁, x₂) ]	=	x₁
[a__U56 (x₁) ]	=	2 x₁
[isQid (x₁) ]	=	0
[a__isList (x₁) ]	=	0
[U54 (x₁, x₂, x₃) ]	=	2 x₁
[a__U73 (x₁, x₂) ]	=	2 x₁ + 1
[a__U43 (x₁, x₂, x₃) ]	=	2 x₁
[a__U42 (x₁, x₂, x₃) ]	=	2 x₁
[U82 (x₁, x₂) ]	=	x₁
[a__U62 (x₁, x₂) ]	=	0
[a__U24 (x₁, x₂, x₃) ]	=	2 x₁
[U83 (x₁) ]	=	x₁
[U22 (x₁, x₂, x₃) ]	=	2 x₁
[f(x₁, ..., x_n)]	=	x₁ + ... + x_n + 1	for all other symbols f of arity n

[U72 (x₁, x₂) ]	=	0
[a__U54 (x₁, x₂, x₃) ]	=	x₁ + x₂ + x₃
[a]	=	0
[__ (x₁, x₂) ]	=	3 x₁ + x₂ + 1
[isNePal (x₁) ]	=	x₁
[U25 (x₁, x₂) ]	=	x₁ + x₂
[U21 (x₁, x₂, x₃) ]	=	x₁ + 2 x₂ + x₃
[U12 (x₁, x₂) ]	=	x₁ + x₂
[U41 (x₁, x₂, x₃) ]	=	x₁ + 2 x₂ + x₃ + 1
[i]	=	0
[a__U83 (x₁) ]	=	0
[U33 (x₁) ]	=	2 x₁
[U61 (x₁, x₂) ]	=	0
[U31 (x₁, x₂) ]	=	2 x₁
[isNeList (x₁) ]	=	x₁
[U45 (x₁, x₂) ]	=	x₁ + x₂
[a__isPal (x₁) ]	=	0
[a__U74 (x₁) ]	=	0
[a__U91 (x₁, x₂) ]	=	x₁
[isPal (x₁) ]	=	0
[U23 (x₁, x₂, x₃) ]	=	2 x₁ + 2 x₂ + x₃
[a__U71 (x₁, x₂, x₃) ]	=	2
[a__U44 (x₁, x₂, x₃) ]	=	x₁ + 2 x₂ + x₃
[a__U45 (x₁, x₂) ]	=	x₁ + x₂
[a__U55 (x₁, x₂) ]	=	x₁ + x₂
[a__U81 (x₁, x₂) ]	=	0
[U71 (x₁, x₂, x₃) ]	=	2
[a__U53 (x₁, x₂, x₃) ]	=	x₁ + 2 x₂ + x₃
[a__U25 (x₁, x₂) ]	=	x₁ + x₂
[a__U32 (x₁, x₂) ]	=	x₁
[mark# (x₁) ]	=	2 x₁
[U73 (x₁, x₂) ]	=	0
[tt]	=	0
[o]	=	0
[e]	=	0
[a__U21 (x₁, x₂, x₃) ]	=	x₁ + 2 x₂ + x₃
[a__U92 (x₁) ]	=	x₁
[a__isNePal (x₁) ]	=	x₁
[U51 (x₁, x₂, x₃) ]	=	2 x₁ + 2 x₂ + x₃
[a__U26 (x₁) ]	=	x₁
[U74 (x₁) ]	=	0
[a__U41 (x₁, x₂, x₃) ]	=	x₁ + 2 x₂ + x₃ + 1
[a__U23 (x₁, x₂, x₃) ]	=	2 x₁ + 2 x₂ + x₃
[U63 (x₁) ]	=	0
[a__isQid (x₁) ]	=	0
[U13 (x₁) ]	=	x₁
[a____ (x₁, x₂) ]	=	3 x₁ + x₂ + 1
[a__U13 (x₁) ]	=	x₁
[a__U33 (x₁) ]	=	2 x₁
[U52 (x₁, x₂, x₃) ]	=	2 x₁ + 2 x₂ + x₃
[U55 (x₁, x₂) ]	=	x₁ + x₂
[U32 (x₁, x₂) ]	=	x₁
[U91 (x₁, x₂) ]	=	x₁
[a__U72 (x₁, x₂) ]	=	0
[a__U31 (x₁, x₂) ]	=	2 x₁
[u]	=	0
[U56 (x₁) ]	=	x₁
[a__U63 (x₁) ]	=	0
[a__U46 (x₁) ]	=	x₁
[a__U52 (x₁, x₂, x₃) ]	=	2 x₁ + 2 x₂ + x₃
[a__U61 (x₁, x₂) ]	=	0
[U43 (x₁, x₂, x₃) ]	=	2 x₁ + 2 x₂ + x₃
[U44 (x₁, x₂, x₃) ]	=	x₁ + 2 x₂ + x₃
[U42 (x₁, x₂, x₃) ]	=	2 x₁ + 2 x₂ + x₃
[a__U82 (x₁, x₂) ]	=	0
[isList (x₁) ]	=	x₁
[U92 (x₁) ]	=	x₁
[U24 (x₁, x₂, x₃) ]	=	x₁ + x₂ + x₃
[U53 (x₁, x₂, x₃) ]	=	x₁ + 2 x₂ + x₃
[a__U11 (x₁, x₂) ]	=	2 x₁ + x₂
[mark (x₁) ]	=	x₁
[U46 (x₁) ]	=	x₁
[a__U22 (x₁, x₂, x₃) ]	=	2 x₁ + 2 x₂ + x₃
[U62 (x₁, x₂) ]	=	0
[a__isPalListKind (x₁) ]	=	0
[a__U12 (x₁, x₂) ]	=	x₁ + x₂
[nil]	=	0
[a__isNeList (x₁) ]	=	x₁
[a__U51 (x₁, x₂, x₃) ]	=	2 x₁ + 2 x₂ + x₃
[isPalListKind (x₁) ]	=	0
[U26 (x₁) ]	=	x₁
[U11 (x₁, x₂) ]	=	2 x₁ + x₂
[U81 (x₁, x₂) ]	=	0
[a__U56 (x₁) ]	=	x₁
[isQid (x₁) ]	=	0
[a__isList (x₁) ]	=	x₁
[U54 (x₁, x₂, x₃) ]	=	x₁ + x₂ + x₃
[a__U73 (x₁, x₂) ]	=	0
[a__U43 (x₁, x₂, x₃) ]	=	2 x₁ + 2 x₂ + x₃
[a__U42 (x₁, x₂, x₃) ]	=	2 x₁ + 2 x₂ + x₃
[U82 (x₁, x₂) ]	=	0
[a__U62 (x₁, x₂) ]	=	0
[a__U24 (x₁, x₂, x₃) ]	=	x₁ + x₂ + x₃
[U22 (x₁, x₂, x₃) ]	=	2 x₁ + 2 x₂ + x₃
[U83 (x₁) ]	=	0
[f(x₁, ..., x_n)]	=	x₁ + ... + x_n + 1	for all other symbols f of arity n

[U72 (x₁, x₂) ]	=	0
[a__U54 (x₁, x₂, x₃) ]	=	x₁ + 2 x₂ + 2 x₃
[a]	=	0
[__ (x₁, x₂) ]	=	2 x₁ + x₂ + 3
[isNePal (x₁) ]	=	2 x₁ + 1
[U25 (x₁, x₂) ]	=	0
[U21 (x₁, x₂, x₃) ]	=	2 x₁
[U12 (x₁, x₂) ]	=	2 x₁ + 2 x₂
[U41 (x₁, x₂, x₃) ]	=	2
[i]	=	0
[a__U83 (x₁) ]	=	0
[U33 (x₁) ]	=	x₁
[U61 (x₁, x₂) ]	=	0
[U31 (x₁, x₂) ]	=	2 x₁
[isNeList (x₁) ]	=	2 x₁
[a__isPal (x₁) ]	=	0
[U45 (x₁, x₂) ]	=	0
[a__U74 (x₁) ]	=	0
[a__U91 (x₁, x₂) ]	=	x₁
[isPal (x₁) ]	=	0
[a__U71 (x₁, x₂, x₃) ]	=	0
[U23 (x₁, x₂, x₃) ]	=	0
[a__U44 (x₁, x₂, x₃) ]	=	0
[a__U45 (x₁, x₂) ]	=	0
[a__U55 (x₁, x₂) ]	=	x₁ + 2 x₂
[a__U81 (x₁, x₂) ]	=	0
[U71 (x₁, x₂, x₃) ]	=	0
[a__U53 (x₁, x₂, x₃) ]	=	2 x₁ + 2 x₂ + 2 x₃
[a__U25 (x₁, x₂) ]	=	0
[a__U32 (x₁, x₂) ]	=	2 x₁
[mark# (x₁) ]	=	2 x₁
[U73 (x₁, x₂) ]	=	0
[tt]	=	0
[o]	=	0
[e]	=	0
[a__U21 (x₁, x₂, x₃) ]	=	2 x₁
[a__U92 (x₁) ]	=	2 x₁
[a__isNePal (x₁) ]	=	2 x₁ + 1
[U51 (x₁, x₂, x₃) ]	=	x₁ + 2 x₂ + 2 x₃ + 1
[a__U26 (x₁) ]	=	0
[U74 (x₁) ]	=	0
[a__U41 (x₁, x₂, x₃) ]	=	2
[a__U23 (x₁, x₂, x₃) ]	=	0
[U63 (x₁) ]	=	0
[a__isQid (x₁) ]	=	0
[a____ (x₁, x₂) ]	=	2 x₁ + x₂ + 3
[U13 (x₁) ]	=	x₁
[a__U13 (x₁) ]	=	x₁
[a__U33 (x₁) ]	=	x₁
[U52 (x₁, x₂, x₃) ]	=	x₁ + 2 x₂ + 2 x₃
[U55 (x₁, x₂) ]	=	x₁ + 2 x₂
[U32 (x₁, x₂) ]	=	2 x₁
[U91 (x₁, x₂) ]	=	x₁
[a__U72 (x₁, x₂) ]	=	0
[a__U31 (x₁, x₂) ]	=	2 x₁
[u]	=	0
[U56 (x₁) ]	=	x₁
[a__U63 (x₁) ]	=	0
[a__U52 (x₁, x₂, x₃) ]	=	x₁ + 2 x₂ + 2 x₃
[a__U46 (x₁) ]	=	0
[a__U61 (x₁, x₂) ]	=	0
[U43 (x₁, x₂, x₃) ]	=	0
[U44 (x₁, x₂, x₃) ]	=	0
[a__U82 (x₁, x₂) ]	=	0
[isList (x₁) ]	=	2 x₁
[U42 (x₁, x₂, x₃) ]	=	0
[U92 (x₁) ]	=	2 x₁
[U53 (x₁, x₂, x₃) ]	=	2 x₁ + 2 x₂ + 2 x₃
[U24 (x₁, x₂, x₃) ]	=	0
[a__U11 (x₁, x₂) ]	=	2 x₁ + 2 x₂
[mark (x₁) ]	=	x₁
[U46 (x₁) ]	=	0
[a__U22 (x₁, x₂, x₃) ]	=	2 x₁
[U62 (x₁, x₂) ]	=	0
[a__isPalListKind (x₁) ]	=	0
[a__U12 (x₁, x₂) ]	=	2 x₁ + 2 x₂
[nil]	=	1
[a__isNeList (x₁) ]	=	2 x₁
[a__U51 (x₁, x₂, x₃) ]	=	x₁ + 2 x₂ + 2 x₃ + 1
[isPalListKind (x₁) ]	=	0
[U11 (x₁, x₂) ]	=	2 x₁ + 2 x₂
[U26 (x₁) ]	=	0
[U81 (x₁, x₂) ]	=	0
[a__U56 (x₁) ]	=	x₁
[isQid (x₁) ]	=	0
[a__isList (x₁) ]	=	2 x₁
[U54 (x₁, x₂, x₃) ]	=	x₁ + 2 x₂ + 2 x₃
[a__U73 (x₁, x₂) ]	=	0
[a__U43 (x₁, x₂, x₃) ]	=	0
[a__U42 (x₁, x₂, x₃) ]	=	0
[U82 (x₁, x₂) ]	=	0
[a__U62 (x₁, x₂) ]	=	0
[a__U24 (x₁, x₂, x₃) ]	=	0
[U22 (x₁, x₂, x₃) ]	=	2 x₁
[U83 (x₁) ]	=	0
[f(x₁, ..., x_n)]	=	x₁ + ... + x_n + 1	for all other symbols f of arity n