MAYBE

Problem:
 implies(not(x),y) -> or(x,y)
 implies(not(x),or(y,z)) -> implies(y,or(x,z))
 implies(x,or(y,z)) -> or(y,implies(x,z))

Proof:
 DP Processor:
  DPs:
   implies#(not(x),or(y,z)) -> implies#(y,or(x,z))
   implies#(x,or(y,z)) -> implies#(x,z)
  TRS:
   implies(not(x),y) -> or(x,y)
   implies(not(x),or(y,z)) -> implies(y,or(x,z))
   implies(x,or(y,z)) -> or(y,implies(x,z))
  Usable Rule Processor:
   DPs:
    implies#(not(x),or(y,z)) -> implies#(y,or(x,z))
    implies#(x,or(y,z)) -> implies#(x,z)
   TRS:
    
   Restore Modifier:
    DPs:
     implies#(not(x),or(y,z)) -> implies#(y,or(x,z))
     implies#(x,or(y,z)) -> implies#(x,z)
    TRS:
     implies(not(x),y) -> or(x,y)
     implies(not(x),or(y,z)) -> implies(y,or(x,z))
     implies(x,or(y,z)) -> or(y,implies(x,z))
    SCC Processor:
     #sccs: 1
     #rules: 2
     #arcs: 4/4
     DPs:
      implies#(not(x),or(y,z)) -> implies#(y,or(x,z))
      implies#(x,or(y,z)) -> implies#(x,z)
     TRS:
      implies(not(x),y) -> or(x,y)
      implies(not(x),or(y,z)) -> implies(y,or(x,z))
      implies(x,or(y,z)) -> or(y,implies(x,z))
     Open