MAYBE
* Step 1: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          if(false(),b,x,y) -> if2(b,x,y)
          if(true(),b,x,y) -> log_undefined()
          if2(false(),x,y) -> log2(quot(x,s(s(0()))),y)
          if2(true(),x,s(y)) -> y
          inc(0()) -> 0()
          inc(s(x)) -> s(inc(x))
          le(0(),y) -> true()
          le(s(x),0()) -> false()
          le(s(x),s(y)) -> le(x,y)
          log(x) -> log2(x,0())
          log2(x,y) -> if(le(x,0()),le(x,s(0())),x,inc(y))
          minus(x,0()) -> x
          minus(0(),y) -> 0()
          minus(s(x),s(y)) -> minus(x,y)
          quot(0(),s(y)) -> 0()
          quot(s(x),s(y)) -> s(quot(minus(x,y),s(y)))
      - Signature:
          {if/4,if2/3,inc/1,le/2,log/1,log2/2,minus/2,quot/2} / {0/0,false/0,log_undefined/0,s/1,true/0}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {if,if2,inc,le,log,log2,minus,quot} and constructors {0
          ,false,log_undefined,s,true}
  + Applied Processor:
      EmptyProcessor
  + Details:
      The problem is still open.
MAYBE