/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: minus(x,0()) -> x
    2: minus(s(x),s(y)) -> minus(x,y)
    3: quot(0(),s(y)) -> 0()
    4: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y)))
    5: plus(0(),y) -> y
    6: plus(s(x),y) -> s(plus(x,y))
    7: plus(minus(x,s(0())),minus(y,s(s(z)))) -> plus(minus(y,s(s(z))),minus(x,s(0())))
Number of strict rules: 7
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #minus(s(x),s(y)) -> #minus(x,y)
   #2: #plus(s(x),y) -> #plus(x,y)
   #3: #plus(minus(x,s(0())),minus(y,s(s(z)))) -> #plus(minus(y,s(s(z))),minus(x,s(0())))
   #4: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y))
   #5: #quot(s(x),s(y)) -> #minus(x,y)
Number of SCCs: 3, DPs: 4
	SCC { #1 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  minus(x1,x2)		w: (0)
  #plus(x1,x2)		w: (0)
  0()		w: (0)
  quot(x1,x2)		w: (0)
  #minus(x1,x2)		w: (x2 + x1)
  plus(x1,x2)		w: (0)
  #quot(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 2, DPs: 3
	SCC { #4 }
Sum... succeeded.
  s(x1)		w: (2 + x1)
  minus(x1,x2)		w: (1 + x1)
  #plus(x1,x2)		w: (0)
  0()		w: (1)
  quot(x1,x2)		w: (0)
  #minus(x1,x2)		w: (0)
  plus(x1,x2)		w: (0)
  #quot(x1,x2)		w: (8855 + x1)
    USABLE RULES: { 1 2 }
    Removed DPs: #4
Number of SCCs: 1, DPs: 2
	SCC { #2 #3 }
Sum... succeeded.
  s(x1)		w: (32287 + x1)
  minus(x1,x2)		w: (x2 + x1)
  #plus(x1,x2)		w: (x2 + x1)
  0()		w: (1)
  quot(x1,x2)		w: (0)
  #minus(x1,x2)		w: (0)
  plus(x1,x2)		w: (0)
  #quot(x1,x2)		w: (8855 + x1)
    USABLE RULES: { 1 2 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 1
	SCC { #3 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  s(x1)		w: (1 + x1_2, 2 + x1_1 + x1_2)
  minus(x1,x2)		w: (6 + x2_1 + x2_2 + x1_1 + x1_2, 9 + x2_2 + x1_1 + x1_2)
  #plus(x1,x2)		w: (x2_1 + x1_2, x2_1 + x2_2 + x1_1 + x1_2)
  0()		w: (1, 1)
  quot(x1,x2)		w: (0, 0)
  #minus(x1,x2)		w: (0, 0)
  plus(x1,x2)		w: (0, 0)
  #quot(x1,x2)		w: (0, 0)
    USABLE RULES: { 1 2 }
    Removed DPs: #3
Number of SCCs: 0, DPs: 0