/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(r(x1)) -> s(r(x1))
    2: r(s(x1)) -> s(r(x1))
    3: r(n(x1)) -> s(r(x1))
    4: r(b(x1)) -> u(s(b(x1)))
    5: r(u(x1)) -> u(r(x1))
    6: s(u(x1)) -> u(s(x1))
    7: n(u(x1)) -> u(n(x1))
    8: t(r(u(x1))) -> t(c(r(x1)))
    9: t(s(u(x1))) -> t(c(r(x1)))
    10: t(n(u(x1))) -> t(c(r(x1)))
    11: c(u(x1)) -> u(c(x1))
    12: c(s(x1)) -> s(c(x1))
    13: c(r(x1)) -> r(c(x1))
    14: c(n(x1)) -> n(c(x1))
    15: c(n(x1)) -> n(x1)
Number of strict rules: 15
Direct poly ... removes: 8 1
  s(x1)		w: (x1)
  n(x1)		w: (x1)
  b(x1)		w: (31894 + x1)
  u(x1)		w: (1 + 2 * x1)
  r(x1)		w: (1 + 2 * x1)
  t(x1)		w: (x1)
  c(x1)		w: (x1)
Number of strict rules: 13
Direct poly ... removes: 10 7
  s(x1)		w: (x1)
  n(x1)		w: (2 * x1)
  b(x1)		w: (44511 + x1)
  u(x1)		w: (1 + 2 * x1)
  r(x1)		w: (1 + 2 * x1)
  t(x1)		w: (12456 + x1)
  c(x1)		w: (x1)
Number of strict rules: 11
Direct poly ... removes: 3
  s(x1)		w: (x1)
  n(x1)		w: (24390 + 2 * x1)
  b(x1)		w: (1 + 2 * x1)
  u(x1)		w: (24389 + 2 * x1)
  r(x1)		w: (24389 + 2 * x1)
  t(x1)		w: (12456 + x1)
  c(x1)		w: (x1)
Number of strict rules: 10
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #r(s(x1)) -> #s(r(x1))
   #2: #r(s(x1)) -> #r(x1)
   #3: #s(u(x1)) -> #s(x1)
   #4: #c(r(x1)) -> #r(c(x1))
   #5: #c(r(x1)) -> #c(x1)
   #6: #t(s(u(x1))) -> #t(c(r(x1)))
   #7: #t(s(u(x1))) -> #c(r(x1))
   #8: #t(s(u(x1))) -> #r(x1)
   #9: #c(u(x1)) -> #c(x1)
   #10: #c(s(x1)) -> #s(c(x1))
   #11: #c(s(x1)) -> #c(x1)
   #12: #c(n(x1)) -> #c(x1)
   #13: #r(u(x1)) -> #r(x1)
   #14: #r(b(x1)) -> #s(b(x1))
Number of SCCs: 4, DPs: 8
	SCC { #3 }
Sum... succeeded.
  s(x1)		w: (0)
  n(x1)		w: (0)
  b(x1)		w: (0)
  u(x1)		w: (1 + x1)
  r(x1)		w: (0)
  t(x1)		w: (0)
  c(x1)		w: (0)
  #s(x1)		w: (x1)
  #r(x1)		w: (0)
  #c(x1)		w: (0)
  #t(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 3, DPs: 7
	SCC { #6 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  s(x1)		w: (x1_1, 2348 + x1_2)
  n(x1)		w: (0, 1)
  b(x1)		w: (29162 + x1_1 + x1_2, 29161 + x1_1 + x1_2)
  u(x1)		w: (x1_1, 26815 + x1_2)
  r(x1)		w: (x1_1, 1 + x1_1 + x1_2)
  t(x1)		w: (0, 0)
  c(x1)		w: (0, 29161 + x1_2)
  #s(x1)		w: (0, 0)
  #r(x1)		w: (0, 0)
  #c(x1)		w: (0, 0)
  #t(x1)		w: (x1_1 + x1_2, 9642)
    USABLE RULES: { 2 4..6 11..15 }
    Removed DPs: #6
Number of SCCs: 2, DPs: 6
	SCC { #2 #13 }
Sum... succeeded.
  s(x1)		w: (x1)
  n(x1)		w: (196)
  b(x1)		w: (4 + x1)
  u(x1)		w: (282 + x1)
  r(x1)		w: (196)
  t(x1)		w: (0)
  c(x1)		w: (195)
  #s(x1)		w: (0)
  #r(x1)		w: (x1)
  #c(x1)		w: (0)
  #t(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #13
Number of SCCs: 2, DPs: 5
	SCC { #2 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  n(x1)		w: (196)
  b(x1)		w: (1 + x1)
  u(x1)		w: (282 + x1)
  r(x1)		w: (124)
  t(x1)		w: (0)
  c(x1)		w: (123)
  #s(x1)		w: (0)
  #r(x1)		w: (x1)
  #c(x1)		w: (0)
  #t(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 1, DPs: 4
	SCC { #5 #9 #11 #12 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  n(x1)		w: (196 + x1)
  b(x1)		w: (1 + x1)
  u(x1)		w: (21656 + x1)
  r(x1)		w: (21657 + x1)
  t(x1)		w: (0)
  c(x1)		w: (29)
  #s(x1)		w: (0)
  #r(x1)		w: (0)
  #c(x1)		w: (x1)
  #t(x1)		w: (0)
    USABLE RULES: { 2 4..6 }
    Removed DPs: #5 #9 #11 #12
Number of SCCs: 0, DPs: 0