/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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MAYBE
Input TRS:
    1: g(x) -> h(x,x)
    2: s(x) -> h(x,0())
    3: s(x) -> h(0(),x)
    4: f(g(x)) -> g(g(f(x)))
    5: g(s(x)) -> s(s(g(x)))
    6: h(f(x),g(x)) -> f(s(x))
    7: s(0()) -> f(0())
    8: s(s(0())) -> f(s(0()))
    9: f(s(0())) -> 0()
    10: s(s(s(s(s(s(s(0()))))))) -> f(s(s(0())))
    11: f(s(s(0()))) -> s(s(s(s(s(0())))))
    12: f(s(s(x))) -> h(f(x),g(h(x,x)))
Number of strict rules: 12
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #s(x) -> #h(x,0())
   #2: #h(f(x),g(x)) -> #f(s(x))
   #3: #h(f(x),g(x)) -> #s(x)
   #4: #f(s(s(0()))) -> #s(s(s(s(s(0())))))
   #5: #f(s(s(0()))) -> #s(s(s(s(0()))))
   #6: #f(s(s(0()))) -> #s(s(s(0())))
   #7: #f(s(s(x))) -> #h(f(x),g(h(x,x)))
   #8: #f(s(s(x))) -> #f(x)
   #9: #f(s(s(x))) -> #g(h(x,x))
   #10: #f(s(s(x))) -> #h(x,x)
   #11: #s(0()) -> #f(0())
   #12: #s(s(s(s(s(s(s(0()))))))) -> #f(s(s(0())))
   #13: #g(s(x)) -> #s(s(g(x)))
   #14: #g(s(x)) -> #s(g(x))
   #15: #g(s(x)) -> #g(x)
   #16: #s(x) -> #h(0(),x)
   #17: #g(x) -> #h(x,x)
   #18: #s(s(0())) -> #f(s(0()))
   #19: #f(g(x)) -> #g(g(f(x)))
   #20: #f(g(x)) -> #g(f(x))
   #21: #f(g(x)) -> #f(x)
Number of SCCs: 1, DPs: 14
	SCC { #2 #3 #7..10 #12..15 #17 #19..21 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  h(x1,x2)		w: (x1_1, x1_2)
  s(x1)		w: (x1_1, x1_2)
  f(x1)		w: (x1_1 + x1_2, x1_1 + x1_2)
  0()		w: (0, 0)
  #h(x1,x2)		w: (27529 + x1_1, 15095)
  #s(x1)		w: (27529, 15095)
  #f(x1)		w: (27529 + x1_1 + x1_2, 15095)
  #g(x1)		w: (27529 + x1_1, 15095)
  g(x1)		w: (29828 + x1_1, 29828 + x1_2)
    USABLE RULES: { 1..12 }
    Removed DPs: #19..21
Number of SCCs: 1, DPs: 11
	SCC { #2 #3 #7..10 #12..15 #17 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  h(x1,x2)		w: (x1_1, x1_2)
  s(x1)		w: (x1_1, x1_2)
  f(x1)		w: (x1_1 + x1_2, x1_1 + x1_2)
  0()		w: (0, 0)
  #h(x1,x2)		w: (32224 + x2_1, 0)
  #s(x1)		w: (32225, 0)
  #f(x1)		w: (32225 + x1_1, 0)
  #g(x1)		w: (32225 + x1_1, 0)
  g(x1)		w: (1 + x1_1, 1 + x1_2)
    USABLE RULES: { 1..12 }
    Removed DPs: #10 #17
Number of SCCs: 1, DPs: 9
	SCC { #2 #3 #7..9 #12..15 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... succeeded.
  h(x1,x2)		w: (max{0, x2_1 + x2_2}, x2_2 + x1_2)
  s(x1)		w: (max{0, x1_1}, x1_2)
  f(x1)		w: (max{0, x1_1}, x1_2)
  0()		w: (55503, -60554)
  #h(x1,x2)		w: (max{0, -11128 + x2_1}, -30997)
  #s(x1)		w: (max{0, -16178 + x1_1}, -30997)
  #f(x1)		w: (max{0, -11128 + x1_1 + x1_2}, -30997)
  #g(x1)		w: (max{0, -16178 + x1_1}, -30997)
  g(x1)		w: (max{0, x1_1}, 0)
    USABLE RULES: { 1..12 }
    Removed DPs: #12
Number of SCCs: 2, DPs: 4
	SCC { #15 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... succeeded.
  h(x1,x2)		w: (0, 0)
  s(x1)		w: (max{0, 3 + x1_1}, -1)
  f(x1)		w: (0, 0)
  0()		w: (0, 0)
  #h(x1,x2)		w: (0, 0)
  #s(x1)		w: (0, 0)
  #f(x1)		w: (0, 0)
  #g(x1)		w: (max{0, -1 + x1_2 + x1_1}, 0)
  g(x1)		w: (0, 0)
    USABLE RULES: { }
    Removed DPs: #15
Number of SCCs: 1, DPs: 3
	SCC { #2 #7 #8 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  failed.