/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: admit(x,nil()) -> nil()
    2: admit(x,.(u,.(v,.(w(),z)))) -> cond(=(sum(x,u,v),w()),.(u,.(v,.(w(),admit(carry(x,u,v),z)))))
    3: cond(true(),y) -> y
Number of strict rules: 3
Direct poly ... failed.
Freezing cond
1: admit(x,nil()) -> nil()
2: admit(x,.(u,.(v,.(w(),z)))) -> cond❆1_=(sum(x,u,v),w(),.(u,.(v,.(w(),admit(carry(x,u,v),z)))))
3: cond❆1_true(y) -> y
4: cond(=(_1,_2),_3) ->= cond❆1_=(_1,_2,_3)
5: cond(true(),_1) ->= cond❆1_true(_1)
Number of strict rules: 3
Direct poly ... failed.
Dependency Pairs:
   #1: #admit(x,.(u,.(v,.(w(),z)))) -> #admit(carry(x,u,v),z)
   #2: #cond(true(),_1) ->? #cond❆1_true(_1)
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... succeeded.
  admit(x1,x2)		w: (0)
  w()		w: (1)
  cond❆1_true(x1)		w: (0)
  true()		w: (0)
  sum(x1,x2,x3)		w: (0)
  #cond(x1,x2)		w: (0)
  =(x1,x2)		w: (0)
  nil()		w: (0)
  .(x1,x2)		w: (1 + x2 + x1)
  #admit(x1,x2)		w: (x2 + x1)
  carry(x1,x2,x3)		w: (3)
  #cond❆1_true(x1)		w: (0)
  cond(x1,x2)		w: (0)
  cond❆1_=(x1,x2,x3)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0