/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: minus(X,s(Y)) -> pred(minus(X,Y))
    2: minus(X,0()) -> X
    3: pred(s(X)) -> X
    4: le(s(X),s(Y)) -> le(X,Y)
    5: le(s(X),0()) -> false()
    6: le(0(),Y) -> true()
    7: gcd(0(),Y) -> 0()
    8: gcd(s(X),0()) -> s(X)
    9: gcd(s(X),s(Y)) -> if(le(Y,X),s(X),s(Y))
    10: if(true(),s(X),s(Y)) -> gcd(minus(X,Y),s(Y))
    11: if(false(),s(X),s(Y)) -> gcd(minus(Y,X),s(X))
Number of strict rules: 11
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #gcd(s(X),s(Y)) -> #if(le(Y,X),s(X),s(Y))
   #2: #gcd(s(X),s(Y)) -> #le(Y,X)
   #3: #if(false(),s(X),s(Y)) -> #gcd(minus(Y,X),s(X))
   #4: #if(false(),s(X),s(Y)) -> #minus(Y,X)
   #5: #if(true(),s(X),s(Y)) -> #gcd(minus(X,Y),s(Y))
   #6: #if(true(),s(X),s(Y)) -> #minus(X,Y)
   #7: #minus(X,s(Y)) -> #pred(minus(X,Y))
   #8: #minus(X,s(Y)) -> #minus(X,Y)
   #9: #le(s(X),s(Y)) -> #le(X,Y)
Number of SCCs: 3, DPs: 5
	SCC { #8 }
Sum... succeeded.
  le(x1,x2)		w: (0)
  s(x1)		w: (1 + x1)
  #le(x1,x2)		w: (0)
  minus(x1,x2)		w: (0)
  gcd(x1,x2)		w: (0)
  false()		w: (0)
  true()		w: (0)
  pred(x1)		w: (0)
  0()		w: (0)
  if(x1,x2,x3)		w: (0)
  #minus(x1,x2)		w: (x2)
  #pred(x1)		w: (0)
  #if(x1,x2,x3)		w: (0)
  #gcd(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #8
Number of SCCs: 2, DPs: 4
	SCC { #9 }
Sum... succeeded.
  le(x1,x2)		w: (0)
  s(x1)		w: (1 + x1)
  #le(x1,x2)		w: (x2)
  minus(x1,x2)		w: (0)
  gcd(x1,x2)		w: (0)
  false()		w: (0)
  true()		w: (0)
  pred(x1)		w: (0)
  0()		w: (0)
  if(x1,x2,x3)		w: (0)
  #minus(x1,x2)		w: (0)
  #pred(x1)		w: (0)
  #if(x1,x2,x3)		w: (0)
  #gcd(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #9
Number of SCCs: 1, DPs: 3
	SCC { #1 #3 #5 }
Sum... succeeded.
  le(x1,x2)		w: (1 + x2 + x1)
  s(x1)		w: (10453 + x1)
  #le(x1,x2)		w: (0)
  minus(x1,x2)		w: (10451 + x1)
  gcd(x1,x2)		w: (0)
  false()		w: (10456)
  true()		w: (3)
  pred(x1)		w: (x1)
  0()		w: (1)
  if(x1,x2,x3)		w: (0)
  #minus(x1,x2)		w: (0)
  #pred(x1)		w: (0)
  #if(x1,x2,x3)		w: (x3 + x2)
  #gcd(x1,x2)		w: (1 + x2 + x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #1 #3 #5
Number of SCCs: 0, DPs: 0