(VAR x y )
(STRATEGY INNERMOST)
(RULES 
        times(x,plus(y,1)) -> plus(times(x,plus(y,times(1,0))),x)
        times(x,1) -> x
        times(x,0) -> 0
        plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y)))))
        plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x))
        plus(zero,y) -> y
        plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y))))
        id(x) -> x
        if(true,x,y) -> x
        if(false,x,y) -> y
        not(x) -> if(x,false,true)
        gt(s(x),zero) -> true
        gt(zero,y) -> false
        gt(s(x),s(y)) -> gt(x,y)
        
)