/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: p(a(x0),p(a(a(a(x1))),x2)) -> p(a(x2),p(a(a(b(x0))),x2))
Number of strict rules: 1
Direct poly ... failed.
Freezing p
1: p❆1_a(x0,p❆1_a(a(a(x1)),x2)) -> p❆1_a(x2,p❆1_a(a(b(x0)),x2))
2: p(a(_1),_2) ->= p❆1_a(_1,_2)
Number of strict rules: 1
Direct poly ... failed.
Dependency Pairs:
   #1: #p(a(_1),_2) ->? #p❆1_a(_1,_2)
   #2: #p❆1_a(x0,p❆1_a(a(a(x1)),x2)) -> #p❆1_a(x2,p❆1_a(a(b(x0)),x2))
   #3: #p❆1_a(x0,p❆1_a(a(a(x1)),x2)) -> #p❆1_a(a(b(x0)),x2)
Number of SCCs: 1, DPs: 2
	SCC { #2 #3 }
Sum... succeeded.
  a(x1)		w: (1)
  b(x1)		w: (1)
  #p(x1,x2)		w: (0)
  p(x1,x2)		w: (0)
  #p❆1_a(x1,x2)		w: (x2)
  p❆1_a(x1,x2)		w: (1 + x2)
    USABLE RULES: { 1 }
    Removed DPs: #3
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... Max... QLPOpS... succeeded.
  a(x1)	1[x1]
  b(x1)	0[]
  #p(x1,x2)	0[x1,x2]
  p(x1,x2)	0[x1,x2]
  #p❆1_a(x1,x2)	1[x2,x1]
  p❆1_a(x1,x2)	0[x2,x1]
    USABLE RULES: { 1 }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0