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


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YES
Input TRS:
    1: plus(0(),Y) -> Y
    2: plus(s(X),Y) -> s(plus(X,Y))
    3: min(X,0()) -> X
    4: min(s(X),s(Y)) -> min(X,Y)
    5: min(min(X,Y),Z()) -> min(X,plus(Y,Z()))
    6: quot(0(),s(Y)) -> 0()
    7: quot(s(X),s(Y)) -> s(quot(min(X,Y),s(Y)))
Number of strict rules: 7
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #plus(s(X),Y) -> #plus(X,Y)
   #2: #quot(s(X),s(Y)) -> #quot(min(X,Y),s(Y))
   #3: #quot(s(X),s(Y)) -> #min(X,Y)
   #4: #min(min(X,Y),Z()) -> #min(X,plus(Y,Z()))
   #5: #min(min(X,Y),Z()) -> #plus(Y,Z())
   #6: #min(s(X),s(Y)) -> #min(X,Y)
Number of SCCs: 3, DPs: 4
	SCC { #1 }
Sum... succeeded.
  Z()		w: (0)
  s(x1)		w: (1 + x1)
  #plus(x1,x2)		w: (x1)
  #min(x1,x2)		w: (0)
  0()		w: (0)
  quot(x1,x2)		w: (0)
  plus(x1,x2)		w: (0)
  min(x1,x2)		w: (0)
  #quot(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 2, DPs: 3
	SCC { #2 }
Sum... succeeded.
  Z()		w: (32286)
  s(x1)		w: (10452 + x1)
  #plus(x1,x2)		w: (0)
  #min(x1,x2)		w: (0)
  0()		w: (1)
  quot(x1,x2)		w: (0)
  plus(x1,x2)		w: (1 + x2 + x1)
  min(x1,x2)		w: (10451 + x1)
  #quot(x1,x2)		w: (2 + x1)
    USABLE RULES: { 1..5 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 2
	SCC { #4 #6 }
Sum... succeeded.
  Z()		w: (1)
  s(x1)		w: (1 + x1)
  #plus(x1,x2)		w: (0)
  #min(x1,x2)		w: (x2 + x1)
  0()		w: (1)
  quot(x1,x2)		w: (0)
  plus(x1,x2)		w: (4597 + x2 + x1)
  min(x1,x2)		w: (10451 + x2 + x1)
  #quot(x1,x2)		w: (2 + x1)
    USABLE RULES: { 1..5 }
    Removed DPs: #4 #6
Number of SCCs: 0, DPs: 0