/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: 3(1(x1)) -> 4(1(x1))
    2: 5(9(x1)) -> 2(6(5(x1)))
    3: 3(5(x1)) -> 8(9(7(x1)))
    4: 9(x1) -> 3(2(3(x1)))
    5: 8(4(x1)) -> 6(x1)
    6: 2(6(x1)) -> 4(3(x1))
    7: 3(8(x1)) -> 3(2(7(x1)))
    8: 9(x1) -> 5(0(2(x1)))
    9: 8(8(4(x1))) -> 1(9(x1))
    10: 7(1(x1)) -> 6(9(x1))
    11: 3(9(x1)) -> 9(3(x1))
    12: 7(5(x1)) -> 1(0(x1))
Number of strict rules: 12
Direct poly ... failed.
Freezing 2
1: 3(1(x1)) -> 4(1(x1))
2: 5(9(x1)) -> 2❆1_6(5(x1))
3: 3(5(x1)) -> 8(9(7(x1)))
4: 9(x1) -> 3(2(3(x1)))
5: 8(4(x1)) -> 6(x1)
6: 2❆1_6(x1) -> 4(3(x1))
7: 3(8(x1)) -> 3(2(7(x1)))
8: 9(x1) -> 5(0(2(x1)))
9: 8(8(4(x1))) -> 1(9(x1))
10: 7(1(x1)) -> 6(9(x1))
11: 3(9(x1)) -> 9(3(x1))
12: 7(5(x1)) -> 1(0(x1))
13: 2(6(_1)) ->= 2❆1_6(_1)
Number of strict rules: 12
Direct poly ... failed.
Dependency Pairs:
   #1: #5(9(x1)) -> #2❆1_6(5(x1))
   #2: #5(9(x1)) -> #5(x1)
   #3: #2❆1_6(x1) -> #3(x1)
   #4: #2(6(_1)) ->? #2❆1_6(_1)
   #5: #8(8(4(x1))) -> #9(x1)
   #6: #3(9(x1)) -> #9(3(x1))
   #7: #3(9(x1)) -> #3(x1)
   #8: #3(8(x1)) -> #3(2(7(x1)))
   #9: #3(8(x1)) -> #2(7(x1))
   #10: #3(8(x1)) -> #7(x1)
   #11: #7(1(x1)) -> #9(x1)
   #12: #3(5(x1)) -> #8(9(7(x1)))
   #13: #3(5(x1)) -> #9(7(x1))
   #14: #3(5(x1)) -> #7(x1)
   #15: #9(x1) -> #5(0(2(x1)))
   #16: #9(x1) -> #2(x1)
   #17: #9(x1) -> #3(2(3(x1)))
   #18: #9(x1) -> #2(3(x1))
   #19: #9(x1) -> #3(x1)
Number of SCCs: 2, DPs: 12
	SCC { #2 }
Sum... succeeded.
  7(x1)		w: (0)
  1(x1)		w: (0)
  4(x1)		w: (0)
  #7(x1)		w: (0)
  5(x1)		w: (0)
  3(x1)		w: (0)
  #8(x1)		w: (0)
  #2(x1)		w: (0)
  9(x1)		w: (1 + x1)
  8(x1)		w: (0)
  #9(x1)		w: (0)
  0(x1)		w: (0)
  #3(x1)		w: (0)
  #2❆1_6(x1)		w: (0)
  2❆1_6(x1)		w: (0)
  #5(x1)		w: (x1)
  2(x1)		w: (0)
  6(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 1, DPs: 11
	SCC { #3 #4 #6 #7 #9..11 #13 #14 #16 #19 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  7(x1)		w: (35737 + x1_2, 35736 + x1_1)
  1(x1)		w: (90633 + x1_2, 90634 + x1_1)
  4(x1)		w: (107215 + x1_2, 1)
  #7(x1)		w: (x1_1, 30190 + x1_1)
  5(x1)		w: (81056 + x1_1, 81057 + x1_1)
  3(x1)		w: (107215 + x1_2, 107213 + x1_2)
  #8(x1)		w: (0, 0)
  #2(x1)		w: (x1_2, x1_2)
  9(x1)		w: (107216 + x1_2, 107215 + x1_2)
  8(x1)		w: (45317 + x1_1, 45318 + x1_1)
  #9(x1)		w: (1 + x1_2, x1_2)
  0(x1)		w: (26158, 26157 + x1_1)
  #3(x1)		w: (x1_2, x1_2)
  #2❆1_6(x1)		w: (19153 + x1_2, x1_2)
  2❆1_6(x1)		w: (214428 + x1_2, 1)
  #5(x1)		w: (0, 0)
  2(x1)		w: (195274 + x1_2, 1)
  6(x1)		w: (19153, 19154 + x1_2)
    USABLE RULES: { 1 3..13 }
    Removed DPs: #3 #4 #6 #7 #9..11 #13 #14 #16 #19
Number of SCCs: 0, DPs: 0