/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
Input TRS:
    1: minus(0(),Y) -> 0()
    2: minus(s(X),s(Y)) -> minus(X,Y)
    3: geq(X,0()) -> true()
    4: geq(0(),s(Y)) -> false()
    5: geq(s(X),s(Y)) -> geq(X,Y)
    6: div(0(),s(Y)) -> 0()
    7: div(s(X),s(Y)) -> if(geq(X,Y),s(div(minus(X,Y),s(Y))),0())
    8: if(true(),X,Y) -> X
    9: if(false(),X,Y) -> Y
Number of strict rules: 9
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #minus(s(X),s(Y)) -> #minus(X,Y)
   #2: #div(s(X),s(Y)) -> #if(geq(X,Y),s(div(minus(X,Y),s(Y))),0())
   #3: #div(s(X),s(Y)) -> #geq(X,Y)
   #4: #div(s(X),s(Y)) -> #div(minus(X,Y),s(Y))
   #5: #div(s(X),s(Y)) -> #minus(X,Y)
   #6: #geq(s(X),s(Y)) -> #geq(X,Y)
Number of SCCs: 2, DPs: 2
	SCC { #6 }
Sum... succeeded.
  #div(x1,x2)		w: (0)
  s(x1)		w: (1 + x1)
  minus(x1,x2)		w: (0)
  #geq(x1,x2)		w: (x2 + x1)
  false()		w: (0)
  div(x1,x2)		w: (0)
  geq(x1,x2)		w: (0)
  true()		w: (0)
  0()		w: (0)
  if(x1,x2,x3)		w: (0)
  #minus(x1,x2)		w: (0)
  #if(x1,x2,x3)		w: (0)
    USABLE RULES: { }
    Removed DPs: #6
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... succeeded.
  #div(x1,x2)		w: (0)
  s(x1)		w: (1 + x1)
  minus(x1,x2)		w: (0)
  #geq(x1,x2)		w: (0)
  false()		w: (0)
  div(x1,x2)		w: (0)
  geq(x1,x2)		w: (0)
  true()		w: (0)
  0()		w: (0)
  if(x1,x2,x3)		w: (0)
  #minus(x1,x2)		w: (x2)
  #if(x1,x2,x3)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0