/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: a(x,y) -> b(x,b(0(),c(y)))
    2: c(b(y,c(x))) -> c(c(b(a(0(),0()),y)))
    3: b(y,0()) -> y
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #c(b(y,c(x))) -> #c(c(b(a(0(),0()),y)))
   #2: #c(b(y,c(x))) -> #c(b(a(0(),0()),y))
   #3: #c(b(y,c(x))) -> #b(a(0(),0()),y)
   #4: #c(b(y,c(x))) -> #a(0(),0())
   #5: #a(x,y) -> #b(x,b(0(),c(y)))
   #6: #a(x,y) -> #b(0(),c(y))
   #7: #a(x,y) -> #c(y)
Number of SCCs: 1, DPs: 3
	SCC { #2 #4 #7 }
Sum... succeeded.
  a(x1,x2)		w: (8857 + x1)
  b(x1,x2)		w: (x2 + x1)
  c(x1)		w: (8857)
  0()		w: (0)
  #c(x1)		w: (x1)
  #a(x1,x2)		w: (8856 + x2)
  #b(x1,x2)		w: (0)
    USABLE RULES: { 1..3 }
    Removed DPs: #4 #7
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1,x2)		w: (35565 + x1_1 + x1_2, 35806 + x1_2)
  b(x1,x2)		w: (11819 + x2_2 + x1_1 + x1_2, 23505 + x1_2)
  c(x1)		w: (4187, 72094 + x1_1)
  0()		w: (240, 241)
  #c(x1)		w: (x1_1, 3152)
  #a(x1,x2)		w: (0, 0)
  #b(x1,x2)		w: (0, 0)
    USABLE RULES: { 1..3 }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0