/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: 2(7(x1)) -> 1(8(x1))
    2: 2(8(1(x1))) -> 8(x1)
    3: 2(8(x1)) -> 4(x1)
    4: 5(9(x1)) -> 0(x1)
    5: 4(x1) -> 5(2(3(x1)))
    6: 5(3(x1)) -> 6(0(x1))
    7: 2(8(x1)) -> 7(x1)
    8: 4(7(x1)) -> 1(3(x1))
    9: 5(2(6(x1))) -> 6(2(4(x1)))
    10: 9(7(x1)) -> 7(5(x1))
    11: 7(2(x1)) -> 4(x1)
    12: 7(0(x1)) -> 9(3(x1))
    13: 6(9(x1)) -> 9(x1)
    14: 9(5(9(x1))) -> 5(7(x1))
    15: 4(x1) -> 9(6(6(x1)))
    16: 9(x1) -> 6(7(x1))
    17: 6(2(x1)) -> 7(7(x1))
    18: 2(4(x1)) -> 0(7(x1))
    19: 6(6(x1)) -> 3(x1)
    20: 0(3(x1)) -> 5(3(x1))
Number of strict rules: 20
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #5(3(x1)) -> #6(0(x1))
   #2: #5(3(x1)) -> #0(x1)
   #3: #5(2(6(x1))) -> #6(2(4(x1)))
   #4: #5(2(6(x1))) -> #2(4(x1))
   #5: #5(2(6(x1))) -> #4(x1)
   #6: #7(2(x1)) -> #4(x1)
   #7: #7(0(x1)) -> #9(3(x1))
   #8: #9(5(9(x1))) -> #5(7(x1))
   #9: #9(5(9(x1))) -> #7(x1)
   #10: #0(3(x1)) -> #5(3(x1))
   #11: #2(8(x1)) -> #7(x1)
   #12: #9(7(x1)) -> #7(5(x1))
   #13: #9(7(x1)) -> #5(x1)
   #14: #4(x1) -> #5(2(3(x1)))
   #15: #4(x1) -> #2(3(x1))
   #16: #6(2(x1)) -> #7(7(x1))
   #17: #6(2(x1)) -> #7(x1)
   #18: #9(x1) -> #6(7(x1))
   #19: #9(x1) -> #7(x1)
   #20: #2(8(x1)) -> #4(x1)
   #21: #4(x1) -> #9(6(6(x1)))
   #22: #4(x1) -> #6(6(x1))
   #23: #4(x1) -> #6(x1)
   #24: #5(9(x1)) -> #0(x1)
   #25: #2(4(x1)) -> #0(7(x1))
   #26: #2(4(x1)) -> #7(x1)
Number of SCCs: 2, DPs: 16
	SCC { #2 #10 }
Sum... succeeded.
  7(x1)		w: (0)
  #0(x1)		w: (1 + x1)
  1(x1)		w: (0)
  4(x1)		w: (0)
  #7(x1)		w: (0)
  5(x1)		w: (0)
  3(x1)		w: (2 + x1)
  #6(x1)		w: (0)
  #2(x1)		w: (0)
  9(x1)		w: (0)
  8(x1)		w: (0)
  #4(x1)		w: (0)
  #9(x1)		w: (0)
  0(x1)		w: (0)
  #5(x1)		w: (x1)
  2(x1)		w: (0)
  6(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #2 #10
Number of SCCs: 1, DPs: 14
	SCC { #3..7 #9 #12 #13 #16 #17 #19 #21 #23 #26 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  7(x1)		w: (x1_1 + x1_2, 30384)
  #0(x1)		w: (0, 0)
  1(x1)		w: (1, x1_1)
  4(x1)		w: (30385 + x1_1, 30384)
  #7(x1)		w: (8681 + x1_1, 49664)
  5(x1)		w: (x1_1 + x1_2, 30384)
  3(x1)		w: (0, 0)
  #6(x1)		w: (8681 + x1_1, 49664)
  #2(x1)		w: (69448 + x1_1, 49664)
  9(x1)		w: (1 + x1_1 + x1_2, 30384)
  8(x1)		w: (1, 1 + x1_1)
  #4(x1)		w: (8681 + x1_1, 49664)
  #9(x1)		w: (8681 + x1_1, 49664)
  0(x1)		w: (0, 30384)
  #5(x1)		w: (8681 + x1_1 + x1_2, 49664)
  2(x1)		w: (30384 + x1_1 + x1_2, 1 + x1_2)
  6(x1)		w: (x1_1, 30384)
    USABLE RULES: { 1 4..6 8..20 }
    Removed DPs: #4..6 #9 #16 #17 #26
Number of SCCs: 1, DPs: 2
	SCC { #7 #19 }
Sum... succeeded.
  7(x1)		w: (3)
  #0(x1)		w: (1)
  1(x1)		w: (1 + x1)
  4(x1)		w: (3)
  #7(x1)		w: (2997 + x1)
  5(x1)		w: (3)
  3(x1)		w: (1)
  #6(x1)		w: (1)
  #2(x1)		w: (0)
  9(x1)		w: (3)
  8(x1)		w: (1)
  #4(x1)		w: (0)
  #9(x1)		w: (2998 + x1)
  0(x1)		w: (3)
  #5(x1)		w: (0)
  2(x1)		w: (3)
  6(x1)		w: (3)
    USABLE RULES: { 1 4..6 8..20 }
    Removed DPs: #7 #19
Number of SCCs: 0, DPs: 0