/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: 2nd(cons1(X,cons(Y,Z))) -> Y
    2: 2nd(cons(X,X1)) -> 2nd(cons1(X,activate(X1)))
    3: from(X) -> cons(X,n__from(n__s(X)))
    4: from(X) -> n__from(X)
    5: s(X) -> n__s(X)
    6: activate(n__from(X)) -> from(activate(X))
    7: activate(n__s(X)) -> s(activate(X))
    8: activate(X) -> X
Number of strict rules: 8
Direct poly ... failed.
Freezing 2nd
1: 2nd❆1_cons1(X,cons(Y,Z)) -> Y
2: 2nd❆1_cons(X,X1) -> 2nd❆1_cons1(X,activate(X1))
3: from(X) -> cons(X,n__from(n__s(X)))
4: from(X) -> n__from(X)
5: s(X) -> n__s(X)
6: activate(n__from(X)) -> from(activate(X))
7: activate(n__s(X)) -> s(activate(X))
8: activate(X) -> X
9: 2nd(cons(_1,_2)) ->= 2nd❆1_cons(_1,_2)
10: 2nd(cons1(_1,_2)) ->= 2nd❆1_cons1(_1,_2)
Number of strict rules: 8
Direct poly ... failed.
Dependency Pairs:
   #1: #2nd❆1_cons(X,X1) -> #2nd❆1_cons1(X,activate(X1))
   #2: #2nd❆1_cons(X,X1) -> #activate(X1)
   #3: #activate(n__from(X)) -> #from(activate(X))
   #4: #activate(n__from(X)) -> #activate(X)
   #5: #2nd(cons(_1,_2)) ->? #2nd❆1_cons(_1,_2)
   #6: #activate(n__s(X)) -> #s(activate(X))
   #7: #activate(n__s(X)) -> #activate(X)
   #8: #2nd(cons1(_1,_2)) ->? #2nd❆1_cons1(_1,_2)
Number of SCCs: 1, DPs: 2
	SCC { #4 #7 }
Sum... succeeded.
  #2nd❆1_cons(x1,x2)		w: (0)
  s(x1)		w: (0)
  activate(x1)		w: (0)
  n__from(x1)		w: (1 + x1)
  #activate(x1)		w: (x1)
  2nd(x1)		w: (0)
  2nd❆1_cons(x1,x2)		w: (0)
  n__s(x1)		w: (1 + x1)
  cons1(x1,x2)		w: (0)
  from(x1)		w: (0)
  #s(x1)		w: (0)
  #2nd(x1)		w: (0)
  #from(x1)		w: (0)
  cons(x1,x2)		w: (0)
  #2nd❆1_cons1(x1,x2)		w: (0)
  2nd❆1_cons1(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4 #7
Number of SCCs: 0, DPs: 0