/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(h(),h(),h(),x) -> s(x)
    2: a(l,x,s(y),h()) -> a(l,x,y,s(h()))
    3: a(l,x,s(y),s(z)) -> a(l,x,y,a(l,x,s(y),z))
    4: a(l,s(x),h(),z) -> a(l,x,z,z)
    5: a(s(l),h(),h(),z) -> a(l,z,h(),z)
    6: +(x,h()) -> x
    7: +(h(),x) -> x
    8: +(s(x),s(y)) -> s(s(+(x,y)))
    9: +(+(x,y),z) -> +(x,+(y,z))
    10: s(h()) -> 1()
    11: *(h(),x) -> h()
    12: *(x,h()) -> h()
    13: *(s(x),s(y)) -> s(+(+(*(x,y),x),y))
Number of strict rules: 13
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(l,x,s(y),h()) -> #a(l,x,y,s(h()))
   #2: #a(l,x,s(y),h()) -> #s(h())
   #3: #*(s(x),s(y)) -> #s(+(+(*(x,y),x),y))
   #4: #*(s(x),s(y)) -> #+(+(*(x,y),x),y)
   #5: #*(s(x),s(y)) -> #+(*(x,y),x)
   #6: #*(s(x),s(y)) -> #*(x,y)
   #7: #+(+(x,y),z) -> #+(x,+(y,z))
   #8: #+(+(x,y),z) -> #+(y,z)
   #9: #a(s(l),h(),h(),z) -> #a(l,z,h(),z)
   #10: #a(l,x,s(y),s(z)) -> #a(l,x,y,a(l,x,s(y),z))
   #11: #a(l,x,s(y),s(z)) -> #a(l,x,s(y),z)
   #12: #a(h(),h(),h(),x) -> #s(x)
   #13: #+(s(x),s(y)) -> #s(s(+(x,y)))
   #14: #+(s(x),s(y)) -> #s(+(x,y))
   #15: #+(s(x),s(y)) -> #+(x,y)
   #16: #a(l,s(x),h(),z) -> #a(l,x,z,z)
Number of SCCs: 3, DPs: 9
	SCC { #6 }
Sum... succeeded.
  h()		w: (0)
  a(x1,x2,x3,x4)		w: (0)
  1()		w: (0)
  s(x1)		w: (1 + x1)
  #*(x1,x2)		w: (x2 + x1)
  #s(x1)		w: (0)
  #a(x1,x2,x3,x4)		w: (0)
  +(x1,x2)		w: (0)
  #+(x1,x2)		w: (0)
  *(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #6
Number of SCCs: 2, DPs: 8
	SCC { #7 #8 #15 }
Sum... succeeded.
  h()		w: (21239)
  a(x1,x2,x3,x4)		w: (0)
  1()		w: (21241)
  s(x1)		w: (1 + x1)
  #*(x1,x2)		w: (0)
  #s(x1)		w: (0)
  #a(x1,x2,x3,x4)		w: (0)
  +(x1,x2)		w: (1 + x2 + x1)
  #+(x1,x2)		w: (x1)
  *(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #7 #8 #15
Number of SCCs: 1, DPs: 5
	SCC { #1 #9..11 #16 }
Sum... succeeded.
  h()		w: (1)
  a(x1,x2,x3,x4)		w: (x3)
  1()		w: (4)
  s(x1)		w: (2 + x1)
  #*(x1,x2)		w: (0)
  #s(x1)		w: (0)
  #a(x1,x2,x3,x4)		w: (10450 + x1)
  +(x1,x2)		w: (1 + x2 + x1)
  #+(x1,x2)		w: (0)
  *(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #9
Number of SCCs: 1, DPs: 4
	SCC { #1 #10 #11 #16 }
Sum... succeeded.
  h()		w: (1)
  a(x1,x2,x3,x4)		w: (x3)
  1()		w: (4)
  s(x1)		w: (2 + x1)
  #*(x1,x2)		w: (0)
  #s(x1)		w: (0)
  #a(x1,x2,x3,x4)		w: (28381 + x2 + x1)
  +(x1,x2)		w: (1143 + x2 + x1)
  #+(x1,x2)		w: (0)
  *(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #16
Number of SCCs: 1, DPs: 3
	SCC { #1 #10 #11 }
Sum... succeeded.
  h()		w: (1)
  a(x1,x2,x3,x4)		w: (x3)
  1()		w: (3)
  s(x1)		w: (2 + x1)
  #*(x1,x2)		w: (0)
  #s(x1)		w: (0)
  #a(x1,x2,x3,x4)		w: (11942 + x3 + x2 + x1)
  +(x1,x2)		w: (26286 + x2 + x1)
  #+(x1,x2)		w: (0)
  *(x1,x2)		w: (0)
    USABLE RULES: { 10 }
    Removed DPs: #1 #10
Number of SCCs: 1, DPs: 1
	SCC { #11 }
Sum... Max... succeeded.
  h()		w: (0)
  a(x1,x2,x3,x4)		w: (0)
  1()		w: (0)
  s(x1)		w: (7720 + x1)
  #*(x1,x2)		w: (0)
  #s(x1)		w: (0)
  #a(x1,x2,x3,x4)		w: (max{1 + x4, 0})
  +(x1,x2)		w: (0)
  #+(x1,x2)		w: (0)
  *(x1,x2)		w: (0)
    USABLE RULES: { 10 }
    Removed DPs: #11
Number of SCCs: 0, DPs: 0