/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: r(e(x1)) -> w(r(x1))
    2: i(t(x1)) -> e(r(x1))
    3: e(w(x1)) -> r(i(x1))
    4: t(e(x1)) -> r(e(x1))
    5: w(r(x1)) -> i(t(x1))
    6: e(r(x1)) -> e(w(x1))
    7: r(i(t(e(r(x1))))) -> e(w(r(i(t(e(x1))))))
Number of strict rules: 7
Direct poly ... removes: 4 6
  r(x1)		w: (11708 + x1)
  t(x1)		w: (17562 + x1)
  w(x1)		w: (5854 + x1)
  i(x1)		w: (x1)
  e(x1)		w: (5854 + x1)
Number of strict rules: 5
Direct poly ... failed.
Freezing i
1: r(e(x1)) -> w(r(x1))
2: i❆1_t(x1) -> e(r(x1))
3: e(w(x1)) -> r(i(x1))
5: w(r(x1)) -> i❆1_t(x1)
7: r(i❆1_t(e(r(x1)))) -> e(w(r(i❆1_t(e(x1)))))
8: i(t(_1)) ->= i❆1_t(_1)
Number of strict rules: 5
Direct poly ... removes: 8
  r(x1)		w: (2 + x1)
  t(x1)		w: (4 + 2 * x1)
  w(x1)		w: (1 + x1)
  i❆1_t(x1)		w: (3 + x1)
  i(x1)		w: (x1)
  e(x1)		w: (1 + x1)
Number of strict rules: 5
Direct poly ... failed.
Dependency Pairs:
   #1: #i❆1_t(x1) -> #e(r(x1))
   #2: #i❆1_t(x1) -> #r(x1)
   #3: #r(i❆1_t(e(r(x1)))) -> #e(w(r(i❆1_t(e(x1)))))
   #4: #r(i❆1_t(e(r(x1)))) -> #w(r(i❆1_t(e(x1))))
   #5: #r(i❆1_t(e(r(x1)))) -> #r(i❆1_t(e(x1)))
   #6: #r(i❆1_t(e(r(x1)))) -> #i❆1_t(e(x1))
   #7: #r(i❆1_t(e(r(x1)))) -> #e(x1)
   #8: #w(r(x1)) -> #i❆1_t(x1)
   #9: #e(w(x1)) -> #r(i(x1))
   #10: #r(e(x1)) -> #w(r(x1))
   #11: #r(e(x1)) -> #r(x1)
Number of SCCs: 1, DPs: 7
	SCC { #2 #4..6 #8 #10 #11 }
Sum... succeeded.
  #w(x1)		w: (x1)
  #i❆1_t(x1)		w: (42481 + x1)
  #e(x1)		w: (0)
  r(x1)		w: (42482 + x1)
  t(x1)		w: (0)
  w(x1)		w: (21241 + x1)
  i❆1_t(x1)		w: (63723 + x1)
  i(x1)		w: (0)
  #r(x1)		w: (42480 + x1)
  e(x1)		w: (21241 + x1)
    USABLE RULES: { 1..3 5 7 }
    Removed DPs: #2 #4..6 #8 #10 #11
Number of SCCs: 0, DPs: 0