/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: min(x,0()) -> 0()
    2: min(0(),y) -> 0()
    3: min(s(x),s(y)) -> s(min(x,y))
    4: max(x,0()) -> x
    5: max(0(),y) -> y
    6: max(s(x),s(y)) -> s(max(x,y))
    7: minus(x,0()) -> x
    8: minus(s(x),s(y)) -> s(minus(x,any(y)))
    9: gcd(s(x),s(y)) -> gcd(minus(max(x,y),min(x,y)),s(min(x,y)))
    10: any(s(x)) -> s(s(any(x)))
    11: any(x) -> x
Number of strict rules: 11
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #max(s(x),s(y)) -> #max(x,y)
   #2: #gcd(s(x),s(y)) -> #gcd(minus(max(x,y),min(x,y)),s(min(x,y)))
   #3: #gcd(s(x),s(y)) -> #minus(max(x,y),min(x,y))
   #4: #gcd(s(x),s(y)) -> #max(x,y)
   #5: #gcd(s(x),s(y)) -> #min(x,y)
   #6: #gcd(s(x),s(y)) -> #min(x,y)
   #7: #any(s(x)) -> #any(x)
   #8: #min(s(x),s(y)) -> #min(x,y)
   #9: #minus(s(x),s(y)) -> #minus(x,any(y))
   #10: #minus(s(x),s(y)) -> #any(y)
Number of SCCs: 5, DPs: 5
	SCC { #7 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  minus(x1,x2)		w: (0)
  gcd(x1,x2)		w: (0)
  any(x1)		w: (0)
  #min(x1,x2)		w: (0)
  #any(x1)		w: (x1)
  0()		w: (0)
  max(x1,x2)		w: (0)
  #max(x1,x2)		w: (0)
  #minus(x1,x2)		w: (0)
  min(x1,x2)		w: (0)
  #gcd(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #7
Number of SCCs: 4, DPs: 4
	SCC { #1 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  minus(x1,x2)		w: (0)
  gcd(x1,x2)		w: (0)
  any(x1)		w: (0)
  #min(x1,x2)		w: (0)
  #any(x1)		w: (0)
  0()		w: (0)
  max(x1,x2)		w: (0)
  #max(x1,x2)		w: (x2)
  #minus(x1,x2)		w: (0)
  min(x1,x2)		w: (0)
  #gcd(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 3, DPs: 3
	SCC { #8 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  minus(x1,x2)		w: (0)
  gcd(x1,x2)		w: (0)
  any(x1)		w: (0)
  #min(x1,x2)		w: (x2)
  #any(x1)		w: (0)
  0()		w: (0)
  max(x1,x2)		w: (0)
  #max(x1,x2)		w: (0)
  #minus(x1,x2)		w: (0)
  min(x1,x2)		w: (0)
  #gcd(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #8
Number of SCCs: 2, DPs: 2
	SCC { #9 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  minus(x1,x2)		w: (0)
  gcd(x1,x2)		w: (0)
  any(x1)		w: (1)
  #min(x1,x2)		w: (0)
  #any(x1)		w: (0)
  0()		w: (0)
  max(x1,x2)		w: (0)
  #max(x1,x2)		w: (0)
  #minus(x1,x2)		w: (2437 + x1)
  min(x1,x2)		w: (0)
  #gcd(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #9
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... Max... succeeded.
  s(x1)		w: (4 + x1)
  minus(x1,x2)		w: (max{0, x1})
  gcd(x1,x2)		w: (0)
  any(x1)		w: (0)
  #min(x1,x2)		w: (0)
  #any(x1)		w: (0)
  0()		w: (1)
  max(x1,x2)		w: (max{x2, 1 + x1})
  #max(x1,x2)		w: (0)
  #minus(x1,x2)		w: (0)
  min(x1,x2)		w: (max{0, 1 + x1})
  #gcd(x1,x2)		w: (max{10450 + x2, 10452 + x1})
    USABLE RULES: { 1..8 }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0