f(f(f(a, b), c),

f(

R

↳Dependency Pair Analysis

F(f(f(a, b), c),x) -> F(b, f(a, f(c, f(b,x))))

F(f(f(a, b), c),x) -> F(a, f(c, f(b,x)))

F(f(f(a, b), c),x) -> F(c, f(b,x))

F(f(f(a, b), c),x) -> F(b,x)

F(x, f(y,z)) -> F(f(x,y),z)

F(x, f(y,z)) -> F(x,y)

Furthermore,

R

↳DPs

→DP Problem 1

↳Remaining Obligation(s)

The following remains to be proven:

**F(f(f(a, b), c), x) -> F(b, x)**

f(f(f(a, b), c),x) -> f(b, f(a, f(c, f(b,x))))

f(x, f(y,z)) -> f(f(x,y),z)

Duration:

0:00 minutes