/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: rec(rec(x)) -> sent(rec(x))
    2: rec(sent(x)) -> sent(rec(x))
    3: rec(no(x)) -> sent(rec(x))
    4: rec(bot()) -> up(sent(bot()))
    5: rec(up(x)) -> up(rec(x))
    6: sent(up(x)) -> up(sent(x))
    7: no(up(x)) -> up(no(x))
    8: top(rec(up(x))) -> top(check(rec(x)))
    9: top(sent(up(x))) -> top(check(rec(x)))
    10: top(no(up(x))) -> top(check(rec(x)))
    11: check(up(x)) -> up(check(x))
    12: check(sent(x)) -> sent(check(x))
    13: check(rec(x)) -> rec(check(x))
    14: check(no(x)) -> no(check(x))
    15: check(no(x)) -> no(x)
Number of strict rules: 15
Direct poly ... removes: 8 1 3 10
  top(x1)		w: (x1)
  no(x1)		w: (1016 + x1)
  bot()		w: (1)
  check(x1)		w: (x1)
  rec(x1)		w: (1328 + x1)
  sent(x1)		w: (1015 + x1)
  up(x1)		w: (313 + x1)
Number of strict rules: 11
Direct poly ... removes: 7
  top(x1)		w: (1190 + x1)
  no(x1)		w: (1 + 2 * x1)
  bot()		w: (16908)
  check(x1)		w: (x1)
  rec(x1)		w: (69 + x1)
  sent(x1)		w: (15 + x1)
  up(x1)		w: (54 + x1)
Number of strict rules: 10
Direct poly ... removes: 15 14
  top(x1)		w: (13325 + x1)
  no(x1)		w: (181 + x1)
  bot()		w: (0)
  check(x1)		w: (2 * x1)
  rec(x1)		w: (x1)
  sent(x1)		w: (x1)
  up(x1)		w: (2 * x1)
Number of strict rules: 8
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #rec(sent(x)) -> #sent(rec(x))
   #2: #rec(sent(x)) -> #rec(x)
   #3: #sent(up(x)) -> #sent(x)
   #4: #check(rec(x)) -> #rec(check(x))
   #5: #check(rec(x)) -> #check(x)
   #6: #top(sent(up(x))) -> #top(check(rec(x)))
   #7: #top(sent(up(x))) -> #check(rec(x))
   #8: #top(sent(up(x))) -> #rec(x)
   #9: #check(up(x)) -> #check(x)
   #10: #check(sent(x)) -> #sent(check(x))
   #11: #check(sent(x)) -> #check(x)
   #12: #rec(up(x)) -> #rec(x)
   #13: #rec(bot()) -> #sent(bot())
Number of SCCs: 4, DPs: 7
	SCC { #3 }
Sum... succeeded.
  top(x1)		w: (0)
  no(x1)		w: (0)
  #check(x1)		w: (0)
  bot()		w: (0)
  #sent(x1)		w: (x1)
  #top(x1)		w: (0)
  check(x1)		w: (0)
  rec(x1)		w: (0)
  #rec(x1)		w: (0)
  sent(x1)		w: (0)
  up(x1)		w: (1 + x1)
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 3, DPs: 6
	SCC { #6 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  top(x1)		w: (0, 0)
  no(x1)		w: (0, 0)
  #check(x1)		w: (0, 0)
  bot()		w: (1427, 26768)
  #sent(x1)		w: (0, 0)
  #top(x1)		w: (4 + x1_1 + x1_2, 22617 + x1_2)
  check(x1)		w: (1 + x1_1, 0)
  rec(x1)		w: (1 + x1_1 + x1_2, x1_2)
  #rec(x1)		w: (0, 0)
  sent(x1)		w: (25340 + x1_1, x1_2)
  up(x1)		w: (1 + x1_1, x1_2)
    USABLE RULES: { 2 4..6 11..13 }
    Removed DPs: #6
Number of SCCs: 2, DPs: 5
	SCC { #2 #12 }
Sum... succeeded.
  top(x1)		w: (0)
  no(x1)		w: (0)
  #check(x1)		w: (0)
  bot()		w: (1)
  #sent(x1)		w: (0)
  #top(x1)		w: (0)
  check(x1)		w: (1)
  rec(x1)		w: (2)
  #rec(x1)		w: (x1)
  sent(x1)		w: (28101 + x1)
  up(x1)		w: (1143 + x1)
    USABLE RULES: { }
    Removed DPs: #2 #12
Number of SCCs: 1, DPs: 3
	SCC { #5 #9 #11 }
Sum... succeeded.
  top(x1)		w: (0)
  no(x1)		w: (0)
  #check(x1)		w: (x1)
  bot()		w: (15922)
  #sent(x1)		w: (0)
  #top(x1)		w: (0)
  check(x1)		w: (1)
  rec(x1)		w: (35232 + x1)
  #rec(x1)		w: (0)
  sent(x1)		w: (8946 + x1)
  up(x1)		w: (26286 + x1)
    USABLE RULES: { 2 4..6 }
    Removed DPs: #5 #9 #11
Number of SCCs: 0, DPs: 0