/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__U11(tt(),M,N) -> a__U12(tt(),M,N)
    2: a__U12(tt(),M,N) -> s(a__plus(mark(N),mark(M)))
    3: a__plus(N,0()) -> mark(N)
    4: a__plus(N,s(M)) -> a__U11(tt(),M,N)
    5: mark(U11(X1,X2,X3)) -> a__U11(mark(X1),X2,X3)
    6: mark(U12(X1,X2,X3)) -> a__U12(mark(X1),X2,X3)
    7: mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2))
    8: mark(tt()) -> tt()
    9: mark(s(X)) -> s(mark(X))
    10: mark(0()) -> 0()
    11: a__U11(X1,X2,X3) -> U11(X1,X2,X3)
    12: a__U12(X1,X2,X3) -> U12(X1,X2,X3)
    13: a__plus(X1,X2) -> plus(X1,X2)
Number of strict rules: 13
Direct POLO(bPol) ... removes: 4 1 3 2
      a__plus	w: x1 + 2 * x2 + 1
      U11	w: x1 + 2 * x2 + x3 + 28
      s 	w: x1 + 26
      U12	w: x1 + 2 * x2 + x3 + 27
      0 	w: 1
      mark	w: x1
      a__U11	w: x1 + 2 * x2 + x3 + 28
      a__U12	w: x1 + 2 * x2 + x3 + 27
      plus	w: x1 + 2 * x2 + 1
      tt	w: 1
Number of strict rules: 9
Direct POLO(bPol) ... removes: 8 5 10 7 12 11 9 13 6
      a__plus	w: x1 + 2 * x2 + 4
      U11	w: x1 + 2 * x2 + x3 + 28
      s 	w: x1 + 26
      U12	w: x1 + 2 * x2 + x3 + 27
      0 	w: 1
      mark	w: 2 * x1
      a__U11	w: x1 + 2 * x2 + x3 + 29
      a__U12	w: x1 + 2 * x2 + x3 + 28
      plus	w: x1 + 2 * x2 + 3
      tt	w: 1
Number of strict rules: 0