MAYBE
* Step 1: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          gt(0(),y) -> false()
          gt(s(x),0()) -> true()
          gt(s(x),s(y)) -> gt(x,y)
          if(false(),x,y) -> 0()
          if(true(),x,y) -> s(minus(x,y))
          if1(false(),x,y) -> mod(minus(x,y),y)
          if1(true(),x,y) -> x
          lt(x,0()) -> false()
          lt(0(),s(x)) -> true()
          lt(s(x),s(y)) -> lt(x,y)
          minus(0(),y) -> 0()
          minus(s(x),y) -> if(gt(s(x),y),x,y)
          mod(x,0()) -> 0()
          mod(x,s(y)) -> if1(lt(x,s(y)),x,s(y))
      - Signature:
          {gt/2,if/3,if1/3,lt/2,minus/2,mod/2} / {0/0,false/0,s/1,true/0}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {gt,if,if1,lt,minus,mod} and constructors {0,false,s,true}
  + Applied Processor:
      EmptyProcessor
  + Details:
      The problem is still open.
MAYBE