Input TRS:
    1: cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x))
    2: and(x,false()) -> false()
    3: and(false(),x) -> false()
    4: and(true(),true()) -> true()
    5: even(0()) -> true()
    6: even(s(0())) -> false()
    7: even(s(s(x))) -> even(x)
    8: gr(0(),x) -> false()
    9: gr(s(x),0()) -> true()
    10: gr(s(x),s(y())) -> gr(x,y())
    11: p(0()) -> 0()
    12: p(s(x)) -> x
Number of strict rules: 12
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #even(s(s(x))) -> #even(x)
   #2: #gr(s(x),s(y())) -> #gr(x,y())
   #3: #cond(true(),x) -> #cond(and(even(x),gr(x,0())),p(x))
   #4: #cond(true(),x) -> #and(even(x),gr(x,0()))
   #5: #cond(true(),x) -> #even(x)
   #6: #cond(true(),x) -> #gr(x,0())
   #7: #cond(true(),x) -> #p(x)
Number of SCCs: 2, DPs: 2, edges: 2
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 4) + x1
     y()	weight: 0
   and(x1,x2)	weight: 0
  even(x1)	weight: 0
 false()	weight: 0
   #p(x1)	weight: 0
  true()	weight: 0
#even(x1)	weight: x1
     p(x1)	weight: 0
#cond(x1,x2)	weight: 0
     0()	weight: 0
  #gr(x1,x2)	weight: 0
    gr(x1,x2)	weight: 0
 #and(x1,x2)	weight: 0
  cond(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #3 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... succeeded.
     s(x1)	weight: max{0, (/ 5 16) + x1}
     y()	weight: 0
   and(x1,x2)	weight: max{0, (/ 1 8) + x2}
  even(x1)	weight: (max (/ 1 16) 0)
 false()	weight: (/ 1 8)
   #p(x1)	weight: 0
  true()	weight: (/ 7 16)
#even(x1)	weight: 0
     p(x1)	weight: max{0, (- (/ 1 16)) + x1}
#cond(x1,x2)	weight: max{0, (- (/ 3 8)) + x1, (- (/ 1 16)) + x2}
     0()	weight: 0
  #gr(x1,x2)	weight: 0
    gr(x1,x2)	weight: max{0, (/ 1 8) + x1}
 #and(x1,x2)	weight: 0
  cond(x1,x2)	weight: 0
    Usable rules: { 2..4 8 9 11 12 }
    Removed DPs: #3
Number of SCCs: 0, DPs: 0, edges: 0
YES