/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
Input TRS:
    1: plus(s(X),plus(Y,Z)) -> plus(X,plus(s(s(Y)),Z))
    2: plus(s(X1),plus(X2,plus(X3,X4))) -> plus(X1,plus(X3,plus(X2,X4)))
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #plus(s(X1),plus(X2,plus(X3,X4))) -> #plus(X1,plus(X3,plus(X2,X4)))
   #2: #plus(s(X1),plus(X2,plus(X3,X4))) -> #plus(X3,plus(X2,X4))
   #3: #plus(s(X1),plus(X2,plus(X3,X4))) -> #plus(X2,X4)
   #4: #plus(s(X),plus(Y,Z)) -> #plus(X,plus(s(s(Y)),Z))
   #5: #plus(s(X),plus(Y,Z)) -> #plus(s(s(Y)),Z)
Number of SCCs: 1, DPs: 5
  SCC { #1..5 }
POLO(Sum)... succeeded.
      s 	w: 1
      #plus	w: x2
      plus	w: x2 + 1
    USABLE RULES: { 1 2 }
    Removed DPs: #2 #3 #5
Number of SCCs: 1, DPs: 2
  SCC { #1 #4 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #plus	w: x1 + x2
      plus	w: x2 + 1
    USABLE RULES: { 1 2 }
    Removed DPs: #1 #4
Number of SCCs: 0, DPs: 0