MAYBE

Problem:
 *(x,+(y,z)) -> +(*(x,y),*(x,z))
 *(+(y,z),x) -> +(*(x,y),*(x,z))
 *(*(x,y),z) -> *(x,*(y,z))
 +(+(x,y),z) -> +(x,+(y,z))

Proof:
 Open