(0) Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:
if(if(x, y, z), u, v) → if(x, if(y, u, v), if(z, u, v))
Q is empty.
(1) DependencyPairsProof (EQUIVALENT transformation)
Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem.
(2) Obligation:
Q DP problem:
The TRS P consists of the following rules:
IF(if(x, y, z), u, v) → IF(x, if(y, u, v), if(z, u, v))
IF(if(x, y, z), u, v) → IF(y, u, v)
IF(if(x, y, z), u, v) → IF(z, u, v)
The TRS R consists of the following rules:
if(if(x, y, z), u, v) → if(x, if(y, u, v), if(z, u, v))
Q is empty.
We have to consider all minimal (P,Q,R)-chains.