/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: c(c(b(c(x)))) -> b(a(0(),c(x)))
    2: c(c(x)) -> b(c(b(c(x))))
    3: a(0(),x) -> c(c(x))
Number of strict rules: 3
Direct poly ... failed.
Freezing a
1: c(c(b(c(x)))) -> b(a❆1_0(c(x)))
2: c(c(x)) -> b(c(b(c(x))))
3: a❆1_0(x) -> c(c(x))
4: a(0(),_1) ->= a❆1_0(_1)
Number of strict rules: 3
Direct poly ... removes: 4
  a(x1,x2)		w: (2 + x2 + x1)
  b(x1)		w: (x1)
  a❆1_0(x1)		w: (2 + x1)
  c(x1)		w: (1 + x1)
  0()		w: (1)
Number of strict rules: 3
Direct poly ... failed.
Dependency Pairs:
   #1: #c(c(x)) -> #c(b(c(x)))
   #2: #a❆1_0(x) -> #c(c(x))
   #3: #a❆1_0(x) -> #c(x)
   #4: #c(c(b(c(x)))) -> #a❆1_0(c(x))
Number of SCCs: 1, DPs: 3
	SCC { #2..4 }
Sum... succeeded.
  a(x1,x2)		w: (0)
  b(x1)		w: (x1)
  a❆1_0(x1)		w: (42478 + x1)
  c(x1)		w: (21239 + x1)
  0()		w: (0)
  #a❆1_0(x1)		w: (21239 + x1)
  #c(x1)		w: (x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #3
Number of SCCs: 1, DPs: 2
	SCC { #2 #4 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1,x2)		w: (0, 0)
  b(x1)		w: (2 + x1_1, 1)
  a❆1_0(x1)		w: (43311 + x1_1, 43311 + x1_1 + x1_2)
  c(x1)		w: (21656 + x1_2, 21655 + x1_1)
  0()		w: (0, 0)
  #a❆1_0(x1)		w: (21656 + x1_1, 1102)
  #c(x1)		w: (x1_2, 1102)
    USABLE RULES: { 1..3 }
    Removed DPs: #2 #4
Number of SCCs: 0, DPs: 0