/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: f(cons(nil(),y)) -> y
    2: f(cons(f(cons(nil(),y)),z)) -> copy(n(),y,z)
    3: copy(0(),y,z) -> f(z)
    4: copy(s(x),y,z) -> copy(x,y,cons(f(y),z))
Number of strict rules: 4
Direct poly ... failed.
Freezing copy
1: f(cons(nil(),y)) -> y
2: f(cons(f(cons(nil(),y)),z)) -> copy❆1_n(y,z)
3: copy❆1_0(y,z) -> f(z)
4: copy❆1_s(x,y,z) -> copy(x,y,cons(f(y),z))
5: copy(0(),_2,_3) ->= copy❆1_0(_2,_3)
6: copy(s(_1),_3,_4) ->= copy❆1_s(_1,_3,_4)
7: copy(n(),_2,_3) ->= copy❆1_n(_2,_3)
Number of strict rules: 4
Direct poly ... failed.
Dependency Pairs:
   #1: #copy(s(_1),_3,_4) ->? #copy❆1_s(_1,_3,_4)
   #2: #copy(0(),_2,_3) ->? #copy❆1_0(_2,_3)
   #3: #copy❆1_0(y,z) -> #f(z)
   #4: #copy❆1_s(x,y,z) -> #copy(x,y,cons(f(y),z))
   #5: #copy❆1_s(x,y,z) -> #f(y)
Number of SCCs: 1, DPs: 2
	SCC { #1 #4 }
Sum... succeeded.
  #copy❆1_s(x1,x2,x3)		w: (40 + x3 + x2 + x1)
  s(x1)		w: (3 + x1)
  n()		w: (0)
  #copy(x1,x2,x3)		w: (38 + x3 + x2 + x1)
  copy❆1_s(x1,x2,x3)		w: (0)
  f(x1)		w: (1 + x1)
  copy❆1_n(x1,x2)		w: (0)
  0()		w: (0)
  nil()		w: (1)
  #f(x1)		w: (0)
  #copy❆1_0(x1,x2)		w: (0)
  copy❆1_0(x1,x2)		w: (0)
  cons(x1,x2)		w: (1 + x2)
  copy(x1,x2,x3)		w: (0)
    USABLE RULES: { 1 2 }
    Removed DPs: #1 #4
Number of SCCs: 0, DPs: 0