YES

Problem:
 cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x))
 and(x,false()) -> false()
 and(false(),x) -> false()
 and(true(),true()) -> true()
 even(0()) -> true()
 even(s(0())) -> false()
 even(s(s(x))) -> even(x)
 gr(0(),x) -> false()
 gr(s(x),0()) -> true()
 gr(s(x),s(y())) -> gr(x,y())
 p(0()) -> 0()
 p(s(x)) -> x

Proof:
 DP Processor:
  DPs:
   cond#(true(),x) -> p#(x)
   cond#(true(),x) -> gr#(x,0())
   cond#(true(),x) -> even#(x)
   cond#(true(),x) -> and#(even(x),gr(x,0()))
   cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x))
   even#(s(s(x))) -> even#(x)
   gr#(s(x),s(y())) -> gr#(x,y())
  TRS:
   cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x))
   and(x,false()) -> false()
   and(false(),x) -> false()
   and(true(),true()) -> true()
   even(0()) -> true()
   even(s(0())) -> false()
   even(s(s(x))) -> even(x)
   gr(0(),x) -> false()
   gr(s(x),0()) -> true()
   gr(s(x),s(y())) -> gr(x,y())
   p(0()) -> 0()
   p(s(x)) -> x
  TDG Processor:
   DPs:
    cond#(true(),x) -> p#(x)
    cond#(true(),x) -> gr#(x,0())
    cond#(true(),x) -> even#(x)
    cond#(true(),x) -> and#(even(x),gr(x,0()))
    cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x))
    even#(s(s(x))) -> even#(x)
    gr#(s(x),s(y())) -> gr#(x,y())
   TRS:
    cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x))
    and(x,false()) -> false()
    and(false(),x) -> false()
    and(true(),true()) -> true()
    even(0()) -> true()
    even(s(0())) -> false()
    even(s(s(x))) -> even(x)
    gr(0(),x) -> false()
    gr(s(x),0()) -> true()
    gr(s(x),s(y())) -> gr(x,y())
    p(0()) -> 0()
    p(s(x)) -> x
   graph:
    even#(s(s(x))) -> even#(x) -> even#(s(s(x))) -> even#(x)
    gr#(s(x),s(y())) -> gr#(x,y()) -> gr#(s(x),s(y())) -> gr#(x,y())
    cond#(true(),x) -> even#(x) -> even#(s(s(x))) -> even#(x)
    cond#(true(),x) -> gr#(x,0()) ->
    gr#(s(x),s(y())) -> gr#(x,y())
    cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) ->
    cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x))
    cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) ->
    cond#(true(),x) -> and#(even(x),gr(x,0()))
    cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) ->
    cond#(true(),x) -> even#(x)
    cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) ->
    cond#(true(),x) -> gr#(x,0())
    cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) -> cond#(true(),x) -> p#(x)
   EDG Processor:
    DPs:
     cond#(true(),x) -> p#(x)
     cond#(true(),x) -> gr#(x,0())
     cond#(true(),x) -> even#(x)
     cond#(true(),x) -> and#(even(x),gr(x,0()))
     cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x))
     even#(s(s(x))) -> even#(x)
     gr#(s(x),s(y())) -> gr#(x,y())
    TRS:
     cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x))
     and(x,false()) -> false()
     and(false(),x) -> false()
     and(true(),true()) -> true()
     even(0()) -> true()
     even(s(0())) -> false()
     even(s(s(x))) -> even(x)
     gr(0(),x) -> false()
     gr(s(x),0()) -> true()
     gr(s(x),s(y())) -> gr(x,y())
     p(0()) -> 0()
     p(s(x)) -> x
    graph:
     even#(s(s(x))) -> even#(x) -> even#(s(s(x))) -> even#(x)
     cond#(true(),x) -> even#(x) ->
     even#(s(s(x))) -> even#(x)
     cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) ->
     cond#(true(),x) -> p#(x)
     cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) ->
     cond#(true(),x) -> gr#(x,0())
     cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) ->
     cond#(true(),x) -> even#(x)
     cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) ->
     cond#(true(),x) -> and#(even(x),gr(x,0()))
     cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) ->
     cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x))
    SCC Processor:
     #sccs: 2
     #rules: 2
     #arcs: 7/49
     DPs:
      cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x))
     TRS:
      cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x))
      and(x,false()) -> false()
      and(false(),x) -> false()
      and(true(),true()) -> true()
      even(0()) -> true()
      even(s(0())) -> false()
      even(s(s(x))) -> even(x)
      gr(0(),x) -> false()
      gr(s(x),0()) -> true()
      gr(s(x),s(y())) -> gr(x,y())
      p(0()) -> 0()
      p(s(x)) -> x
     Arctic Interpretation Processor:
      dimension: 1
      interpretation:
       [cond#](x0, x1) = 4x0 + 5x1 + 0,
       
       [y] = 3,
       
       [s](x0) = 2x0 + 5,
       
       [false] = 0,
       
       [p](x0) = -1x0 + 1,
       
       [and](x0, x1) = -3x0 + 1x1 + 2,
       
       [gr](x0, x1) = -1x0 + 1x1 + 1,
       
       [0] = 0,
       
       [even](x0) = x0 + 5,
       
       [cond](x0, x1) = 1x0 + 2x1 + 0,
       
       [true] = 3
      orientation:
       cond#(true(),x) = 5x + 7 >= 4x + 6 = cond#(and(even(x),gr(x,0())),p(x))
       
       cond(true(),x) = 2x + 4 >= 1x + 3 = cond(and(even(x),gr(x,0())),p(x))
       
       and(x,false()) = -3x + 2 >= 0 = false()
       
       and(false(),x) = 1x + 2 >= 0 = false()
       
       and(true(),true()) = 4 >= 3 = true()
       
       even(0()) = 5 >= 3 = true()
       
       even(s(0())) = 5 >= 0 = false()
       
       even(s(s(x))) = 4x + 7 >= x + 5 = even(x)
       
       gr(0(),x) = 1x + 1 >= 0 = false()
       
       gr(s(x),0()) = 1x + 4 >= 3 = true()
       
       gr(s(x),s(y())) = 1x + 6 >= -1x + 4 = gr(x,y())
       
       p(0()) = 1 >= 0 = 0()
       
       p(s(x)) = 1x + 4 >= x = x
      problem:
       DPs:
        
       TRS:
        cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x))
        and(x,false()) -> false()
        and(false(),x) -> false()
        and(true(),true()) -> true()
        even(0()) -> true()
        even(s(0())) -> false()
        even(s(s(x))) -> even(x)
        gr(0(),x) -> false()
        gr(s(x),0()) -> true()
        gr(s(x),s(y())) -> gr(x,y())
        p(0()) -> 0()
        p(s(x)) -> x
      Qed
     
     DPs:
      even#(s(s(x))) -> even#(x)
     TRS:
      cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x))
      and(x,false()) -> false()
      and(false(),x) -> false()
      and(true(),true()) -> true()
      even(0()) -> true()
      even(s(0())) -> false()
      even(s(s(x))) -> even(x)
      gr(0(),x) -> false()
      gr(s(x),0()) -> true()
      gr(s(x),s(y())) -> gr(x,y())
      p(0()) -> 0()
      p(s(x)) -> x
     KBO Processor:
      argument filtering:
       pi(true) = []
       pi(cond) = []
       pi(even) = 0
       pi(0) = []
       pi(gr) = []
       pi(and) = [0,1]
       pi(p) = [0]
       pi(false) = []
       pi(s) = [0]
       pi(y) = []
       pi(even#) = 0
      weight function:
       w0 = 1
       w(y) = w(false) = w(and) = w(gr) = w(0) = w(even) = w(cond) = w(
       true) = 1
       w(even#) = w(s) = w(p) = 0
      precedence:
       y ~ s ~ p ~ and ~ gr > 0 > even# ~ false ~ even ~ cond ~ true
      problem:
       DPs:
        
       TRS:
        cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x))
        and(x,false()) -> false()
        and(false(),x) -> false()
        and(true(),true()) -> true()
        even(0()) -> true()
        even(s(0())) -> false()
        even(s(s(x))) -> even(x)
        gr(0(),x) -> false()
        gr(s(x),0()) -> true()
        gr(s(x),s(y())) -> gr(x,y())
        p(0()) -> 0()
        p(s(x)) -> x
      Qed