:(

:(

:(:(

:(e,

:(

:(

:(i(

:(i(

i(:(

i(i(

i(e) -> e

R

↳Dependency Pair Analysis

:'(:(x,y),z) -> :'(x, :(z, i(y)))

:'(:(x,y),z) -> :'(z, i(y))

:'(:(x,y),z) -> I(y)

:'(e,x) -> I(x)

:'(x, :(y, i(x))) -> I(y)

:'(x, :(y, :(i(x),z))) -> :'(i(z),y)

:'(x, :(y, :(i(x),z))) -> I(z)

:'(i(x), :(y,x)) -> I(y)

:'(i(x), :(y, :(x,z))) -> :'(i(z),y)

:'(i(x), :(y, :(x,z))) -> I(z)

I(:(x,y)) -> :'(y,x)

Furthermore,

R

↳DPs

→DP Problem 1

↳Remaining Obligation(s)

The following remains to be proven:

**:'(i( x), :(y, :(x, z))) -> I(z)**

:(x,x) -> e

:(x, e) ->x

:(:(x,y),z) -> :(x, :(z, i(y)))

:(e,x) -> i(x)

:(x, :(y, i(x))) -> i(y)

:(x, :(y, :(i(x),z))) -> :(i(z),y)

:(i(x), :(y,x)) -> i(y)

:(i(x), :(y, :(x,z))) -> :(i(z),y)

i(:(x,y)) -> :(y,x)

i(i(x)) ->x

i(e) -> e

Duration:

0:00 minutes