/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: b(y,z) -> f(c(c(y,z,z),a(),a()))
    2: b(b(z,y),a()) -> z
    3: c(f(z),f(c(a(),x,a())),y) -> c(f(b(x,z)),c(z,y,a()),a())
Number of strict rules: 3
Direct poly ... failed.
Freezing c
1: b(y,z) -> f(c(c(y,z,z),a(),a()))
2: b(b(z,y),a()) -> z
3: c❆1_f(z,f(c❆1_a(x,a())),y) -> c❆1_f(b(x,z),c(z,y,a()),a())
4: c(a(),_2,_3) ->= c❆1_a(_2,_3)
5: c(f(_1),_3,_4) ->= c❆1_f(_1,_3,_4)
Number of strict rules: 3
Direct poly ... failed.
Dependency Pairs:
   #1: #c(f(_1),_3,_4) ->? #c❆1_f(_1,_3,_4)
   #2: #c❆1_f(z,f(c❆1_a(x,a())),y) -> #c❆1_f(b(x,z),c(z,y,a()),a())
   #3: #c❆1_f(z,f(c❆1_a(x,a())),y) -> #b(x,z)
   #4: #c❆1_f(z,f(c❆1_a(x,a())),y) -> #c(z,y,a())
   #5: #b(y,z) -> #c(c(y,z,z),a(),a())
   #6: #b(y,z) -> #c(y,z,z)
Number of SCCs: 1, DPs: 4
	SCC { #1 #3 #4 #6 }
Sum... Max... succeeded.
  a()		w: (0)
  c❆1_f(x1,x2,x3)		w: (0)
  b(x1,x2)		w: (0)
  c❆1_a(x1,x2)		w: (max{1 + x2, 1 + x1})
  #c❆1_f(x1,x2,x3)		w: (max{7723 + x3, 7720 + x2, 7726 + x1})
  c(x1,x2,x3)		w: (0)
  f(x1)		w: (6 + x1)
  #c(x1,x2,x3)		w: (max{7724 + x3, 7721 + x2, 7721 + x1})
  #b(x1,x2)		w: (max{7725 + x2, 7722 + x1})
    USABLE RULES: { }
    Removed DPs: #1 #3 #4 #6
Number of SCCs: 0, DPs: 0