MAYBE

Problem:
 p(0()) -> 0()
 p(s(x)) -> x
 plus(x,0()) -> x
 plus(0(),y) -> y
 plus(s(x),y) -> s(plus(x,y))
 plus(s(x),y) -> s(plus(p(s(x)),y))
 plus(x,s(y)) -> s(plus(x,p(s(y))))
 times(0(),y) -> 0()
 times(s(0()),y) -> y
 times(s(x),y) -> plus(y,times(x,y))
 div(0(),y) -> 0()
 div(x,y) -> quot(x,y,y)
 quot(zero(y),s(y),z) -> 0()
 quot(s(x),s(y),z) -> quot(x,y,z)
 quot(x,0(),s(z)) -> s(div(x,s(z)))
 div(div(x,y),z) -> div(x,times(zero(y),z))
 eq(0(),0()) -> true()
 eq(s(x),0()) -> false()
 eq(0(),s(y)) -> false()
 eq(s(x),s(y)) -> eq(x,y)
 divides(y,x) -> eq(x,times(div(x,y),y))
 prime(s(s(x))) -> pr(s(s(x)),s(x))
 pr(x,s(0())) -> true()
 pr(x,s(s(y))) -> if(divides(s(s(y)),x),x,s(y))
 if(true(),x,y) -> false()
 if(false(),x,y) -> pr(x,y)
 zero(div(x,x)) -> x
 zero(divides(x,x)) -> x
 zero(times(x,x)) -> x
 zero(quot(x,x,x)) -> x
 zero(s(x)) -> if(eq(x,s(0())),plus(zero(0()),0()),s(plus(0(),zero(0()))))

Proof:
 DP Processor:
  DPs:
   plus#(s(x),y) -> plus#(x,y)
   plus#(s(x),y) -> p#(s(x))
   plus#(s(x),y) -> plus#(p(s(x)),y)
   plus#(x,s(y)) -> p#(s(y))
   plus#(x,s(y)) -> plus#(x,p(s(y)))
   times#(s(x),y) -> times#(x,y)
   times#(s(x),y) -> plus#(y,times(x,y))
   div#(x,y) -> quot#(x,y,y)
   quot#(s(x),s(y),z) -> quot#(x,y,z)
   quot#(x,0(),s(z)) -> div#(x,s(z))
   div#(div(x,y),z) -> zero#(y)
   div#(div(x,y),z) -> times#(zero(y),z)
   div#(div(x,y),z) -> div#(x,times(zero(y),z))
   eq#(s(x),s(y)) -> eq#(x,y)
   divides#(y,x) -> div#(x,y)
   divides#(y,x) -> times#(div(x,y),y)
   divides#(y,x) -> eq#(x,times(div(x,y),y))
   prime#(s(s(x))) -> pr#(s(s(x)),s(x))
   pr#(x,s(s(y))) -> divides#(s(s(y)),x)
   pr#(x,s(s(y))) -> if#(divides(s(s(y)),x),x,s(y))
   if#(false(),x,y) -> pr#(x,y)
   zero#(s(x)) -> plus#(0(),zero(0()))
   zero#(s(x)) -> zero#(0())
   zero#(s(x)) -> plus#(zero(0()),0())
   zero#(s(x)) -> eq#(x,s(0()))
   zero#(s(x)) -> if#(eq(x,s(0())),plus(zero(0()),0()),s(plus(0(),zero(0()))))
  TRS:
   p(0()) -> 0()
   p(s(x)) -> x
   plus(x,0()) -> x
   plus(0(),y) -> y
   plus(s(x),y) -> s(plus(x,y))
   plus(s(x),y) -> s(plus(p(s(x)),y))
   plus(x,s(y)) -> s(plus(x,p(s(y))))
   times(0(),y) -> 0()
   times(s(0()),y) -> y
   times(s(x),y) -> plus(y,times(x,y))
   div(0(),y) -> 0()
   div(x,y) -> quot(x,y,y)
   quot(zero(y),s(y),z) -> 0()
   quot(s(x),s(y),z) -> quot(x,y,z)
   quot(x,0(),s(z)) -> s(div(x,s(z)))
   div(div(x,y),z) -> div(x,times(zero(y),z))
   eq(0(),0()) -> true()
   eq(s(x),0()) -> false()
   eq(0(),s(y)) -> false()
   eq(s(x),s(y)) -> eq(x,y)
   divides(y,x) -> eq(x,times(div(x,y),y))
   prime(s(s(x))) -> pr(s(s(x)),s(x))
   pr(x,s(0())) -> true()
   pr(x,s(s(y))) -> if(divides(s(s(y)),x),x,s(y))
   if(true(),x,y) -> false()
   if(false(),x,y) -> pr(x,y)
   zero(div(x,x)) -> x
   zero(divides(x,x)) -> x
   zero(times(x,x)) -> x
   zero(quot(x,x,x)) -> x
   zero(s(x)) -> if(eq(x,s(0())),plus(zero(0()),0()),s(plus(0(),zero(0()))))
  TDG Processor:
   DPs:
    plus#(s(x),y) -> plus#(x,y)
    plus#(s(x),y) -> p#(s(x))
    plus#(s(x),y) -> plus#(p(s(x)),y)
    plus#(x,s(y)) -> p#(s(y))
    plus#(x,s(y)) -> plus#(x,p(s(y)))
    times#(s(x),y) -> times#(x,y)
    times#(s(x),y) -> plus#(y,times(x,y))
    div#(x,y) -> quot#(x,y,y)
    quot#(s(x),s(y),z) -> quot#(x,y,z)
    quot#(x,0(),s(z)) -> div#(x,s(z))
    div#(div(x,y),z) -> zero#(y)
    div#(div(x,y),z) -> times#(zero(y),z)
    div#(div(x,y),z) -> div#(x,times(zero(y),z))
    eq#(s(x),s(y)) -> eq#(x,y)
    divides#(y,x) -> div#(x,y)
    divides#(y,x) -> times#(div(x,y),y)
    divides#(y,x) -> eq#(x,times(div(x,y),y))
    prime#(s(s(x))) -> pr#(s(s(x)),s(x))
    pr#(x,s(s(y))) -> divides#(s(s(y)),x)
    pr#(x,s(s(y))) -> if#(divides(s(s(y)),x),x,s(y))
    if#(false(),x,y) -> pr#(x,y)
    zero#(s(x)) -> plus#(0(),zero(0()))
    zero#(s(x)) -> zero#(0())
    zero#(s(x)) -> plus#(zero(0()),0())
    zero#(s(x)) -> eq#(x,s(0()))
    zero#(s(x)) -> if#(eq(x,s(0())),plus(zero(0()),0()),s(plus(0(),zero(0()))))
   TRS:
    p(0()) -> 0()
    p(s(x)) -> x
    plus(x,0()) -> x
    plus(0(),y) -> y
    plus(s(x),y) -> s(plus(x,y))
    plus(s(x),y) -> s(plus(p(s(x)),y))
    plus(x,s(y)) -> s(plus(x,p(s(y))))
    times(0(),y) -> 0()
    times(s(0()),y) -> y
    times(s(x),y) -> plus(y,times(x,y))
    div(0(),y) -> 0()
    div(x,y) -> quot(x,y,y)
    quot(zero(y),s(y),z) -> 0()
    quot(s(x),s(y),z) -> quot(x,y,z)
    quot(x,0(),s(z)) -> s(div(x,s(z)))
    div(div(x,y),z) -> div(x,times(zero(y),z))
    eq(0(),0()) -> true()
    eq(s(x),0()) -> false()
    eq(0(),s(y)) -> false()
    eq(s(x),s(y)) -> eq(x,y)
    divides(y,x) -> eq(x,times(div(x,y),y))
    prime(s(s(x))) -> pr(s(s(x)),s(x))
    pr(x,s(0())) -> true()
    pr(x,s(s(y))) -> if(divides(s(s(y)),x),x,s(y))
    if(true(),x,y) -> false()
    if(false(),x,y) -> pr(x,y)
    zero(div(x,x)) -> x
    zero(divides(x,x)) -> x
    zero(times(x,x)) -> x
    zero(quot(x,x,x)) -> x
    zero(s(x)) -> if(eq(x,s(0())),plus(zero(0()),0()),s(plus(0(),zero(0()))))
   graph:
    if#(false(),x,y) -> pr#(x,y) ->
    pr#(x,s(s(y))) -> if#(divides(s(s(y)),x),x,s(y))
    if#(false(),x,y) -> pr#(x,y) ->
    pr#(x,s(s(y))) -> divides#(s(s(y)),x)
    pr#(x,s(s(y))) -> if#(divides(s(s(y)),x),x,s(y)) ->
    if#(false(),x,y) -> pr#(x,y)
    pr#(x,s(s(y))) -> divides#(s(s(y)),x) ->
    divides#(y,x) -> eq#(x,times(div(x,y),y))
    pr#(x,s(s(y))) -> divides#(s(s(y)),x) ->
    divides#(y,x) -> times#(div(x,y),y)
    pr#(x,s(s(y))) -> divides#(s(s(y)),x) ->
    divides#(y,x) -> div#(x,y)
    prime#(s(s(x))) -> pr#(s(s(x)),s(x)) ->
    pr#(x,s(s(y))) -> if#(divides(s(s(y)),x),x,s(y))
    prime#(s(s(x))) -> pr#(s(s(x)),s(x)) ->
    pr#(x,s(s(y))) -> divides#(s(s(y)),x)
    divides#(y,x) -> eq#(x,times(div(x,y),y)) ->
    eq#(s(x),s(y)) -> eq#(x,y)
    divides#(y,x) -> div#(x,y) ->
    div#(div(x,y),z) -> div#(x,times(zero(y),z))
    divides#(y,x) -> div#(x,y) -> div#(div(x,y),z) -> times#(zero(y),z)
    divides#(y,x) -> div#(x,y) -> div#(div(x,y),z) -> zero#(y)
    divides#(y,x) -> div#(x,y) -> div#(x,y) -> quot#(x,y,y)
    divides#(y,x) -> times#(div(x,y),y) ->
    times#(s(x),y) -> plus#(y,times(x,y))
    divides#(y,x) -> times#(div(x,y),y) -> times#(s(x),y) -> times#(x,y)
    eq#(s(x),s(y)) -> eq#(x,y) ->
    eq#(s(x),s(y)) -> eq#(x,y)
    zero#(s(x)) -> if#(eq(x,s(0())),plus(zero(0()),0()),s(plus(0(),zero(0())))) ->
    if#(false(),x,y) -> pr#(x,y)
    zero#(s(x)) -> eq#(x,s(0())) -> eq#(s(x),s(y)) -> eq#(x,y)
    zero#(s(x)) -> zero#(0()) ->
    zero#(s(x)) -> if#(eq(x,s(0())),plus(zero(0()),0()),s(plus(0(),zero(0()))))
    zero#(s(x)) -> zero#(0()) -> zero#(s(x)) -> eq#(x,s(0()))
    zero#(s(x)) -> zero#(0()) -> zero#(s(x)) -> plus#(zero(0()),0())
    zero#(s(x)) -> zero#(0()) -> zero#(s(x)) -> zero#(0())
    zero#(s(x)) -> zero#(0()) ->
    zero#(s(x)) -> plus#(0(),zero(0()))
    zero#(s(x)) -> plus#(zero(0()),0()) ->
    plus#(x,s(y)) -> plus#(x,p(s(y)))
    zero#(s(x)) -> plus#(zero(0()),0()) ->
    plus#(x,s(y)) -> p#(s(y))
    zero#(s(x)) -> plus#(zero(0()),0()) ->
    plus#(s(x),y) -> plus#(p(s(x)),y)
    zero#(s(x)) -> plus#(zero(0()),0()) ->
    plus#(s(x),y) -> p#(s(x))
    zero#(s(x)) -> plus#(zero(0()),0()) ->
    plus#(s(x),y) -> plus#(x,y)
    zero#(s(x)) -> plus#(0(),zero(0())) ->
    plus#(x,s(y)) -> plus#(x,p(s(y)))
    zero#(s(x)) -> plus#(0(),zero(0())) ->
    plus#(x,s(y)) -> p#(s(y))
    zero#(s(x)) -> plus#(0(),zero(0())) ->
    plus#(s(x),y) -> plus#(p(s(x)),y)
    zero#(s(x)) -> plus#(0(),zero(0())) ->
    plus#(s(x),y) -> p#(s(x))
    zero#(s(x)) -> plus#(0(),zero(0())) ->
    plus#(s(x),y) -> plus#(x,y)
    quot#(s(x),s(y),z) -> quot#(x,y,z) ->
    quot#(x,0(),s(z)) -> div#(x,s(z))
    quot#(s(x),s(y),z) -> quot#(x,y,z) ->
    quot#(s(x),s(y),z) -> quot#(x,y,z)
    quot#(x,0(),s(z)) -> div#(x,s(z)) ->
    div#(div(x,y),z) -> div#(x,times(zero(y),z))
    quot#(x,0(),s(z)) -> div#(x,s(z)) ->
    div#(div(x,y),z) -> times#(zero(y),z)
    quot#(x,0(),s(z)) -> div#(x,s(z)) ->
    div#(div(x,y),z) -> zero#(y)
    quot#(x,0(),s(z)) -> div#(x,s(z)) -> div#(x,y) -> quot#(x,y,y)
    div#(div(x,y),z) -> zero#(y) ->
    zero#(s(x)) -> if#(eq(x,s(0())),plus(zero(0()),0()),s(plus(0(),zero(0()))))
    div#(div(x,y),z) -> zero#(y) -> zero#(s(x)) -> eq#(x,s(0()))
    div#(div(x,y),z) -> zero#(y) -> zero#(s(x)) -> plus#(zero(0()),0())
    div#(div(x,y),z) -> zero#(y) -> zero#(s(x)) -> zero#(0())
    div#(div(x,y),z) -> zero#(y) ->
    zero#(s(x)) -> plus#(0(),zero(0()))
    div#(div(x,y),z) -> div#(x,times(zero(y),z)) ->
    div#(div(x,y),z) -> div#(x,times(zero(y),z))
    div#(div(x,y),z) -> div#(x,times(zero(y),z)) ->
    div#(div(x,y),z) -> times#(zero(y),z)
    div#(div(x,y),z) -> div#(x,times(zero(y),z)) ->
    div#(div(x,y),z) -> zero#(y)
    div#(div(x,y),z) -> div#(x,times(zero(y),z)) ->
    div#(x,y) -> quot#(x,y,y)
    div#(div(x,y),z) -> times#(zero(y),z) ->
    times#(s(x),y) -> plus#(y,times(x,y))
    div#(div(x,y),z) -> times#(zero(y),z) -> times#(s(x),y) -> times#(x,y)
    div#(x,y) -> quot#(x,y,y) -> quot#(x,0(),s(z)) -> div#(x,s(z))
    div#(x,y) -> quot#(x,y,y) -> quot#(s(x),s(y),z) -> quot#(x,y,z)
    times#(s(x),y) -> times#(x,y) ->
    times#(s(x),y) -> plus#(y,times(x,y))
    times#(s(x),y) -> times#(x,y) ->
    times#(s(x),y) -> times#(x,y)
    times#(s(x),y) -> plus#(y,times(x,y)) ->
    plus#(x,s(y)) -> plus#(x,p(s(y)))
    times#(s(x),y) -> plus#(y,times(x,y)) ->
    plus#(x,s(y)) -> p#(s(y))
    times#(s(x),y) -> plus#(y,times(x,y)) ->
    plus#(s(x),y) -> plus#(p(s(x)),y)
    times#(s(x),y) -> plus#(y,times(x,y)) ->
    plus#(s(x),y) -> p#(s(x))
    times#(s(x),y) -> plus#(y,times(x,y)) ->
    plus#(s(x),y) -> plus#(x,y)
    plus#(s(x),y) -> plus#(p(s(x)),y) ->
    plus#(x,s(y)) -> plus#(x,p(s(y)))
    plus#(s(x),y) -> plus#(p(s(x)),y) -> plus#(x,s(y)) -> p#(s(y))
    plus#(s(x),y) -> plus#(p(s(x)),y) ->
    plus#(s(x),y) -> plus#(p(s(x)),y)
    plus#(s(x),y) -> plus#(p(s(x)),y) -> plus#(s(x),y) -> p#(s(x))
    plus#(s(x),y) -> plus#(p(s(x)),y) -> plus#(s(x),y) -> plus#(x,y)
    plus#(s(x),y) -> plus#(x,y) -> plus#(x,s(y)) -> plus#(x,p(s(y)))
    plus#(s(x),y) -> plus#(x,y) -> plus#(x,s(y)) -> p#(s(y))
    plus#(s(x),y) -> plus#(x,y) -> plus#(s(x),y) -> plus#(p(s(x)),y)
    plus#(s(x),y) -> plus#(x,y) -> plus#(s(x),y) -> p#(s(x))
    plus#(s(x),y) -> plus#(x,y) -> plus#(s(x),y) -> plus#(x,y)
    plus#(x,s(y)) -> plus#(x,p(s(y))) ->
    plus#(x,s(y)) -> plus#(x,p(s(y)))
    plus#(x,s(y)) -> plus#(x,p(s(y))) -> plus#(x,s(y)) -> p#(s(y))
    plus#(x,s(y)) -> plus#(x,p(s(y))) ->
    plus#(s(x),y) -> plus#(p(s(x)),y)
    plus#(x,s(y)) -> plus#(x,p(s(y))) -> plus#(s(x),y) -> p#(s(x))
    plus#(x,s(y)) -> plus#(x,p(s(y))) -> plus#(s(x),y) -> plus#(x,y)
   SCC Processor:
    #sccs: 4
    #rules: 16
    #arcs: 74/676
    DPs:
     if#(false(),x,y) -> pr#(x,y)
     pr#(x,s(s(y))) -> divides#(s(s(y)),x)
     divides#(y,x) -> div#(x,y)
     div#(x,y) -> quot#(x,y,y)
     quot#(s(x),s(y),z) -> quot#(x,y,z)
     quot#(x,0(),s(z)) -> div#(x,s(z))
     div#(div(x,y),z) -> zero#(y)
     zero#(s(x)) -> zero#(0())
     zero#(s(x)) -> if#(eq(x,s(0())),plus(zero(0()),0()),s(plus(0(),zero(0()))))
     div#(div(x,y),z) -> div#(x,times(zero(y),z))
     pr#(x,s(s(y))) -> if#(divides(s(s(y)),x),x,s(y))
    TRS:
     p(0()) -> 0()
     p(s(x)) -> x
     plus(x,0()) -> x
     plus(0(),y) -> y
     plus(s(x),y) -> s(plus(x,y))
     plus(s(x),y) -> s(plus(p(s(x)),y))
     plus(x,s(y)) -> s(plus(x,p(s(y))))
     times(0(),y) -> 0()
     times(s(0()),y) -> y
     times(s(x),y) -> plus(y,times(x,y))
     div(0(),y) -> 0()
     div(x,y) -> quot(x,y,y)
     quot(zero(y),s(y),z) -> 0()
     quot(s(x),s(y),z) -> quot(x,y,z)
     quot(x,0(),s(z)) -> s(div(x,s(z)))
     div(div(x,y),z) -> div(x,times(zero(y),z))
     eq(0(),0()) -> true()
     eq(s(x),0()) -> false()
     eq(0(),s(y)) -> false()
     eq(s(x),s(y)) -> eq(x,y)
     divides(y,x) -> eq(x,times(div(x,y),y))
     prime(s(s(x))) -> pr(s(s(x)),s(x))
     pr(x,s(0())) -> true()
     pr(x,s(s(y))) -> if(divides(s(s(y)),x),x,s(y))
     if(true(),x,y) -> false()
     if(false(),x,y) -> pr(x,y)
     zero(div(x,x)) -> x
     zero(divides(x,x)) -> x
     zero(times(x,x)) -> x
     zero(quot(x,x,x)) -> x
     zero(s(x)) -> if(eq(x,s(0())),plus(zero(0()),0()),s(plus(0(),zero(0()))))
    Open
    
    DPs:
     times#(s(x),y) -> times#(x,y)
    TRS:
     p(0()) -> 0()
     p(s(x)) -> x
     plus(x,0()) -> x
     plus(0(),y) -> y
     plus(s(x),y) -> s(plus(x,y))
     plus(s(x),y) -> s(plus(p(s(x)),y))
     plus(x,s(y)) -> s(plus(x,p(s(y))))
     times(0(),y) -> 0()
     times(s(0()),y) -> y
     times(s(x),y) -> plus(y,times(x,y))
     div(0(),y) -> 0()
     div(x,y) -> quot(x,y,y)
     quot(zero(y),s(y),z) -> 0()
     quot(s(x),s(y),z) -> quot(x,y,z)
     quot(x,0(),s(z)) -> s(div(x,s(z)))
     div(div(x,y),z) -> div(x,times(zero(y),z))
     eq(0(),0()) -> true()
     eq(s(x),0()) -> false()
     eq(0(),s(y)) -> false()
     eq(s(x),s(y)) -> eq(x,y)
     divides(y,x) -> eq(x,times(div(x,y),y))
     prime(s(s(x))) -> pr(s(s(x)),s(x))
     pr(x,s(0())) -> true()
     pr(x,s(s(y))) -> if(divides(s(s(y)),x),x,s(y))
     if(true(),x,y) -> false()
     if(false(),x,y) -> pr(x,y)
     zero(div(x,x)) -> x
     zero(divides(x,x)) -> x
     zero(times(x,x)) -> x
     zero(quot(x,x,x)) -> x
     zero(s(x)) -> if(eq(x,s(0())),plus(zero(0()),0()),s(plus(0(),zero(0()))))
    Open
    
    DPs:
     eq#(s(x),s(y)) -> eq#(x,y)
    TRS:
     p(0()) -> 0()
     p(s(x)) -> x
     plus(x,0()) -> x
     plus(0(),y) -> y
     plus(s(x),y) -> s(plus(x,y))
     plus(s(x),y) -> s(plus(p(s(x)),y))
     plus(x,s(y)) -> s(plus(x,p(s(y))))
     times(0(),y) -> 0()
     times(s(0()),y) -> y
     times(s(x),y) -> plus(y,times(x,y))
     div(0(),y) -> 0()
     div(x,y) -> quot(x,y,y)
     quot(zero(y),s(y),z) -> 0()
     quot(s(x),s(y),z) -> quot(x,y,z)
     quot(x,0(),s(z)) -> s(div(x,s(z)))
     div(div(x,y),z) -> div(x,times(zero(y),z))
     eq(0(),0()) -> true()
     eq(s(x),0()) -> false()
     eq(0(),s(y)) -> false()
     eq(s(x),s(y)) -> eq(x,y)
     divides(y,x) -> eq(x,times(div(x,y),y))
     prime(s(s(x))) -> pr(s(s(x)),s(x))
     pr(x,s(0())) -> true()
     pr(x,s(s(y))) -> if(divides(s(s(y)),x),x,s(y))
     if(true(),x,y) -> false()
     if(false(),x,y) -> pr(x,y)
     zero(div(x,x)) -> x
     zero(divides(x,x)) -> x
     zero(times(x,x)) -> x
     zero(quot(x,x,x)) -> x
     zero(s(x)) -> if(eq(x,s(0())),plus(zero(0()),0()),s(plus(0(),zero(0()))))
    Open
    
    DPs:
     plus#(s(x),y) -> plus#(x,y)
     plus#(s(x),y) -> plus#(p(s(x)),y)
     plus#(x,s(y)) -> plus#(x,p(s(y)))
    TRS:
     p(0()) -> 0()
     p(s(x)) -> x
     plus(x,0()) -> x
     plus(0(),y) -> y
     plus(s(x),y) -> s(plus(x,y))
     plus(s(x),y) -> s(plus(p(s(x)),y))
     plus(x,s(y)) -> s(plus(x,p(s(y))))
     times(0(),y) -> 0()
     times(s(0()),y) -> y
     times(s(x),y) -> plus(y,times(x,y))
     div(0(),y) -> 0()
     div(x,y) -> quot(x,y,y)
     quot(zero(y),s(y),z) -> 0()
     quot(s(x),s(y),z) -> quot(x,y,z)
     quot(x,0(),s(z)) -> s(div(x,s(z)))
     div(div(x,y),z) -> div(x,times(zero(y),z))
     eq(0(),0()) -> true()
     eq(s(x),0()) -> false()
     eq(0(),s(y)) -> false()
     eq(s(x),s(y)) -> eq(x,y)
     divides(y,x) -> eq(x,times(div(x,y),y))
     prime(s(s(x))) -> pr(s(s(x)),s(x))
     pr(x,s(0())) -> true()
     pr(x,s(s(y))) -> if(divides(s(s(y)),x),x,s(y))
     if(true(),x,y) -> false()
     if(false(),x,y) -> pr(x,y)
     zero(div(x,x)) -> x
     zero(divides(x,x)) -> x
     zero(times(x,x)) -> x
     zero(quot(x,x,x)) -> x
     zero(s(x)) -> if(eq(x,s(0())),plus(zero(0()),0()),s(plus(0(),zero(0()))))
    Open