/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()) -> X
    2: min(s(X),s(Y)) -> min(X,Y)
    3: quot(0(),s(Y)) -> 0()
    4: quot(s(X),s(Y)) -> s(quot(min(X,Y),s(Y)))
    5: log(s(0())) -> 0()
    6: log(s(s(X))) -> s(log(s(quot(X,s(s(0()))))))
Number of strict rules: 6
Direct poly ... failed.
Freezing log
1: min(X,0()) -> X
2: min(s(X),s(Y)) -> min(X,Y)
3: quot(0(),s(Y)) -> 0()
4: quot(s(X),s(Y)) -> s(quot(min(X,Y),s(Y)))
5: log❆1_s(0()) -> 0()
6: log❆1_s(s(X)) -> s(log❆1_s(quot(X,s(s(0())))))
7: log(s(_1)) ->= log❆1_s(_1)
Number of strict rules: 6
Direct poly ... failed.
Dependency Pairs:
   #1: #min(s(X),s(Y)) -> #min(X,Y)
   #2: #log❆1_s(s(X)) -> #log❆1_s(quot(X,s(s(0()))))
   #3: #log❆1_s(s(X)) -> #quot(X,s(s(0())))
   #4: #log(s(_1)) ->? #log❆1_s(_1)
   #5: #quot(s(X),s(Y)) -> #quot(min(X,Y),s(Y))
   #6: #quot(s(X),s(Y)) -> #min(X,Y)
Number of SCCs: 3, DPs: 3
	SCC { #1 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  #min(x1,x2)		w: (x2 + x1)
  #log(x1)		w: (0)
  #log❆1_s(x1)		w: (0)
  log(x1)		w: (0)
  0()		w: (0)
  quot(x1,x2)		w: (0)
  min(x1,x2)		w: (0)
  #quot(x1,x2)		w: (0)
  log❆1_s(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 2, DPs: 2
	SCC { #2 }
Sum... succeeded.
  s(x1)		w: (7721 + x1)
  #min(x1,x2)		w: (0)
  #log(x1)		w: (0)
  #log❆1_s(x1)		w: (x1)
  log(x1)		w: (0)
  0()		w: (1)
  quot(x1,x2)		w: (7720 + x1)
  min(x1,x2)		w: (x1)
  #quot(x1,x2)		w: (0)
  log❆1_s(x1)		w: (0)
    USABLE RULES: { 1..4 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 1
	SCC { #5 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  #min(x1,x2)		w: (0)
  #log(x1)		w: (0)
  #log❆1_s(x1)		w: (0)
  log(x1)		w: (0)
  0()		w: (1)
  quot(x1,x2)		w: (7720 + x1)
  min(x1,x2)		w: (x1)
  #quot(x1,x2)		w: (8365 + x2 + x1)
  log❆1_s(x1)		w: (0)
    USABLE RULES: { 1..3 }
    Removed DPs: #5
Number of SCCs: 0, DPs: 0