/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: active(U11(tt(),M,N)) -> mark(U12(tt(),M,N))
    2: active(U12(tt(),M,N)) -> mark(s(plus(N,M)))
    3: active(plus(N,0())) -> mark(N)
    4: active(plus(N,s(M))) -> mark(U11(tt(),M,N))
    5: active(U11(X1,X2,X3)) -> U11(active(X1),X2,X3)
    6: active(U12(X1,X2,X3)) -> U12(active(X1),X2,X3)
    7: active(s(X)) -> s(active(X))
    8: active(plus(X1,X2)) -> plus(active(X1),X2)
    9: active(plus(X1,X2)) -> plus(X1,active(X2))
    10: U11(mark(X1),X2,X3) -> mark(U11(X1,X2,X3))
    11: U12(mark(X1),X2,X3) -> mark(U12(X1,X2,X3))
    12: s(mark(X)) -> mark(s(X))
    13: plus(mark(X1),X2) -> mark(plus(X1,X2))
    14: plus(X1,mark(X2)) -> mark(plus(X1,X2))
    15: proper(U11(X1,X2,X3)) -> U11(proper(X1),proper(X2),proper(X3))
    16: proper(tt()) -> ok(tt())
    17: proper(U12(X1,X2,X3)) -> U12(proper(X1),proper(X2),proper(X3))
    18: proper(s(X)) -> s(proper(X))
    19: proper(plus(X1,X2)) -> plus(proper(X1),proper(X2))
    20: proper(0()) -> ok(0())
    21: U11(ok(X1),ok(X2),ok(X3)) -> ok(U11(X1,X2,X3))
    22: U12(ok(X1),ok(X2),ok(X3)) -> ok(U12(X1,X2,X3))
    23: s(ok(X)) -> ok(s(X))
    24: plus(ok(X1),ok(X2)) -> ok(plus(X1,X2))
    25: top(mark(X)) -> top(proper(X))
    26: top(ok(X)) -> top(active(X))
Number of strict rules: 26
Direct POLO(bPol) ... removes: 3
      U11	w: x1 + x2 + x3 + 1
      s 	w: x1 + 20
      top	w: x1
      U12	w: x1 + x2 + x3 + 1
      proper	w: x1
      ok	w: x1
      0 	w: 1
      mark	w: x1
      plus	w: x1 + x2 + 2
      active	w: x1
      tt	w: 21
Number of strict rules: 25
Direct POLO(bPol) ... removes: 4 1 25 14 11 2
      U11	w: x1 + 2 * x2 + x3 + 16
      s 	w: x1 + 15
      top	w: x1
      U12	w: 2 * x1 + 2 * x2 + x3 + 1
      proper	w: x1
      ok	w: x1
      0 	w: 1
      mark	w: x1 + 4
      plus	w: x1 + 2 * x2 + 1
      active	w: x1
      tt	w: 10
Number of strict rules: 19
Direct POLO(bPol) ... removes: 18 15 16 17
      U11	w: x1 + 2 * x2 + x3 + 16
      s 	w: x1 + 15
      top	w: x1
      U12	w: 2 * x1 + 2 * x2 + x3 + 1
      proper	w: 2 * x1
      ok	w: x1
      0 	w: 0
      mark	w: x1 + 1
      plus	w: x1 + 2 * x2
      active	w: x1
      tt	w: 10
Number of strict rules: 15
Direct POLO(bPol) ... removes: 21 26 19 22 20 12 23 24
      U11	w: x1 + x2 + x3 + 1
      s 	w: 2 * x1 + 1
      top	w: 2 * x1
      U12	w: x1 + 2 * x2 + 2 * x3 + 31
      proper	w: 2 * x1 + 8
      ok	w: x1 + 10
      0 	w: 3
      mark	w: x1 + 13
      plus	w: x1 + x2 + 9
      active	w: x1
      tt	w: 1
Number of strict rules: 7
Direct POLO(bPol) ... removes: 8 5 10 7 9 6
      U11	w: 2 * x1 + 2 * x2 + x3 + 5
      s 	w: x1 + 3
      top	w: 2 * x1
      U12	w: x1 + x2 + x3 + 5
      proper	w: 2 * x1 + 14
      ok	w: 2 * x1 + 1
      0 	w: 1
      mark	w: x1 + 13
      plus	w: x1 + x2 + 1
      active	w: 2 * x1 + 4
      tt	w: 1
Number of strict rules: 1
Direct POLO(bPol) ... removes: 13
      U11	w: 2 * x1 + 2 * x2 + x3 + 5
      s 	w: x1 + 5
      top	w: 2 * x1 + 1
      U12	w: x1 + x2 + x3 + 6
      proper	w: 2 * x1 + 11
      ok	w: 2 * x1 + 1
      0 	w: 1
      mark	w: x1 + 10
      plus	w: 2 * x1 + x2 + 2
      active	w: 2 * x1 + 2
      tt	w: 1
Number of strict rules: 0