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


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


YES
Input TRS:
    1: cond1(true(),x,y) -> cond2(gr(y,0()),x,y)
    2: cond2(true(),x,y) -> cond2(gr(y,0()),x,p(y))
    3: cond2(false(),x,y) -> cond1(gr(x,0()),p(x),y)
    4: gr(0(),x) -> false()
    5: gr(s(x),0()) -> true()
    6: gr(s(x),s(y)) -> gr(x,y)
    7: p(0()) -> 0()
    8: p(s(x)) -> x
Number of strict rules: 8
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #cond2(true(),x,y) -> #cond2(gr(y,0()),x,p(y))
   #2: #cond2(true(),x,y) -> #gr(y,0())
   #3: #cond2(true(),x,y) -> #p(y)
   #4: #gr(s(x),s(y)) -> #gr(x,y)
   #5: #cond2(false(),x,y) -> #cond1(gr(x,0()),p(x),y)
   #6: #cond2(false(),x,y) -> #gr(x,0())
   #7: #cond2(false(),x,y) -> #p(x)
   #8: #cond1(true(),x,y) -> #cond2(gr(y,0()),x,y)
   #9: #cond1(true(),x,y) -> #gr(y,0())
Number of SCCs: 2, DPs: 4
	SCC { #4 }
Sum... succeeded.
  cond2(x1,x2,x3)		w: (0)
  s(x1)		w: (1 + x1)
  #cond1(x1,x2,x3)		w: (0)
  false()		w: (0)
  #p(x1)		w: (0)
  true()		w: (0)
  cond1(x1,x2,x3)		w: (0)
  p(x1)		w: (0)
  0()		w: (0)
  #gr(x1,x2)		w: (x2 + x1)
  #cond2(x1,x2,x3)		w: (0)
  gr(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 1, DPs: 3
	SCC { #1 #5 #8 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  cond2(x1,x2,x3)		w: (0)
  s(x1)		w: (max{0, 283 + x1})
  #cond1(x1,x2,x3)		w: (max{0, x2, x1})
  false()		w: (0)
  #p(x1)		w: (0)
  true()		w: (1)
  cond1(x1,x2,x3)		w: (0)
  p(x1)		w: (max{0, -283 + x1})
  0()		w: (0)
  #gr(x1,x2)		w: (0)
  #cond2(x1,x2,x3)		w: (max{0, -282 + x2})
  gr(x1,x2)		w: (max{0, -282 + x1})
    USABLE RULES: { 4 5 7 8 }
    Removed DPs: #8
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  cond2(x1,x2,x3)		w: (0)
  s(x1)		w: (max{0, 283 + x1})
  #cond1(x1,x2,x3)		w: (max{0, x2, x1})
  false()		w: (0)
  #p(x1)		w: (0)
  true()		w: (3)
  cond1(x1,x2,x3)		w: (0)
  p(x1)		w: (max{0, -283 + x1})
  0()		w: (0)
  #gr(x1,x2)		w: (0)
  #cond2(x1,x2,x3)		w: (max{0, 1 + x3, -1 + x1})
  gr(x1,x2)		w: (max{0, -1 + x1})
    USABLE RULES: { 4 5 7 8 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0