/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(a(f(x,y))) -> f(a(b(a(b(a(x))))),a(b(a(b(a(y))))))
    2: f(a(x),a(y)) -> a(f(x,y))
    3: f(b(x),b(y)) -> b(f(x,y))
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(a(x),a(y)) -> #a(f(x,y))
   #2: #f(a(x),a(y)) -> #f(x,y)
   #3: #f(b(x),b(y)) -> #f(x,y)
   #4: #a(a(f(x,y))) -> #f(a(b(a(b(a(x))))),a(b(a(b(a(y))))))
   #5: #a(a(f(x,y))) -> #a(b(a(b(a(x)))))
   #6: #a(a(f(x,y))) -> #a(b(a(x)))
   #7: #a(a(f(x,y))) -> #a(x)
   #8: #a(a(f(x,y))) -> #a(b(a(b(a(y)))))
   #9: #a(a(f(x,y))) -> #a(b(a(y)))
   #10: #a(a(f(x,y))) -> #a(y)
Number of SCCs: 1, DPs: 6
	SCC { #1..4 #7 #10 }
Sum... succeeded.
  a(x1)		w: (x1)
  b(x1)		w: (x1)
  f(x1,x2)		w: (11798 + x2 + x1)
  #f(x1,x2)		w: (11798 + x2 + x1)
  #a(x1)		w: (x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #7 #10
Number of SCCs: 1, DPs: 4
	SCC { #1..4 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (1 + x1_1 + x1_2, 12274 + x1_2)
  b(x1)		w: (1 + x1_1, 0)
  f(x1,x2)		w: (x2_1 + x1_1, 1 + x2_2 + x1_2)
  #f(x1,x2)		w: (29570 + x2_1 + x1_1, 27529 + x2_1 + x1_1)
  #a(x1)		w: (29570 + x1_1 + x1_2, 27529 + x1_1 + x1_2)
    USABLE RULES: { 1..3 }
    Removed DPs: #1..4
Number of SCCs: 0, DPs: 0