/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: a(p(x1)) -> p(a(A(x1)))
    2: a(A(x1)) -> A(a(x1))
    3: p(A(A(x1))) -> a(p(x1))
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(A(x1)) -> #a(x1)
   #2: #p(A(A(x1))) -> #a(p(x1))
   #3: #p(A(A(x1))) -> #p(x1)
   #4: #a(p(x1)) -> #p(a(A(x1)))
   #5: #a(p(x1)) -> #a(A(x1))
Number of SCCs: 1, DPs: 5
	SCC { #1..5 }
Sum... succeeded.
  a(x1)		w: (x1)
  #p(x1)		w: (2441 + x1)
  p(x1)		w: (1 + x1)
  A(x1)		w: (x1)
  #a(x1)		w: (2440 + x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #5
Number of SCCs: 1, DPs: 4
	SCC { #1..4 }
Sum... succeeded.
  a(x1)		w: (x1)
  #p(x1)		w: (30613)
  p(x1)		w: (30613)
  A(x1)		w: (10451 + x1)
  #a(x1)		w: (x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #1
Number of SCCs: 1, DPs: 3
	SCC { #2..4 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (86 + x1_1 + x1_2, x1_2)
  #p(x1)		w: (x1_2, 0)
  p(x1)		w: (757 + x1_2, 756)
  A(x1)		w: (x1_1, 842 + x1_2)
  #a(x1)		w: (170 + x1_1 + x1_2, 0)
    USABLE RULES: { 1..3 }
    Removed DPs: #2..4
Number of SCCs: 0, DPs: 0