/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
Input TRS:
    1: ackin(s(X),s(Y)) -> u21(ackin(s(X),Y),X)
    2: u21(ackout(X),Y) -> u22(ackin(Y,X))
Number of strict rules: 2
Direct poly ... failed.
Freezing ackin
1: ackin❆1_s(X,s(Y)) -> u21(ackin❆1_s(X,Y),X)
2: u21(ackout(X),Y) -> u22(ackin(Y,X))
3: ackin(s(_1),_2) ->= ackin❆1_s(_1,_2)
Number of strict rules: 2
Direct poly ... failed.
Dependency Pairs:
   #1: #u21(ackout(X),Y) -> #ackin(Y,X)
   #2: #ackin(s(_1),_2) ->? #ackin❆1_s(_1,_2)
   #3: #ackin❆1_s(X,s(Y)) -> #u21(ackin❆1_s(X,Y),X)
   #4: #ackin❆1_s(X,s(Y)) -> #ackin❆1_s(X,Y)
Number of SCCs: 1, DPs: 1
	SCC { #4 }
Sum... succeeded.
  #ackin(x1,x2)		w: (0)
  s(x1)		w: (1 + x1)
  #u21(x1,x2)		w: (0)
  ackout(x1)		w: (0)
  u21(x1,x2)		w: (0)
  #ackin❆1_s(x1,x2)		w: (x2)
  u22(x1)		w: (0)
  ackin❆1_s(x1,x2)		w: (0)
  ackin(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 0, DPs: 0