/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(f(X)) -> mark(g(h(f(X))))
    2: active(f(X)) -> f(active(X))
    3: active(h(X)) -> h(active(X))
    4: f(mark(X)) -> mark(f(X))
    5: h(mark(X)) -> mark(h(X))
    6: proper(f(X)) -> f(proper(X))
    7: proper(g(X)) -> g(proper(X))
    8: proper(h(X)) -> h(proper(X))
    9: f(ok(X)) -> ok(f(X))
    10: g(ok(X)) -> ok(g(X))
    11: h(ok(X)) -> ok(h(X))
    12: top(mark(X)) -> top(proper(X))
    13: top(ok(X)) -> top(active(X))
Number of strict rules: 13
Direct poly ... removes: 4 1 10 12 9 13 2
  h(x1)		w: (x1)
  top(x1)		w: (26928 + x1)
  f(x1)		w: (36254 + 2 * x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (36255 + 2 * x1)
  mark(x1)		w: (1 + x1)
  active(x1)		w: (36253 + 2 * x1)
  g(x1)		w: (14137 + 2 * x1)
Number of strict rules: 6
Direct poly ... removes: 7 6
  h(x1)		w: (x1)
  top(x1)		w: (26929 + 2 * x1)
  f(x1)		w: (36254 + 2 * x1)
  proper(x1)		w: (2 * x1)
  ok(x1)		w: (50352 + 2 * x1)
  mark(x1)		w: (1 + x1)
  active(x1)		w: (50352 + 2 * x1)
  g(x1)		w: (14137 + 2 * x1)
Number of strict rules: 4
Direct poly ... removes: 3
  h(x1)		w: (1 + x1)
  top(x1)		w: (26929 + 2 * x1)
  f(x1)		w: (16674 + 2 * x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (53504 + x1)
  mark(x1)		w: (1 + x1)
  active(x1)		w: (50352 + 2 * x1)
  g(x1)		w: (1 + 2 * x1)
Number of strict rules: 3
Direct poly ... removes: 5 11
  h(x1)		w: (51587 + 2 * x1)
  top(x1)		w: (26929 + 2 * x1)
  f(x1)		w: (888 + 2 * x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (53504 + x1)
  mark(x1)		w: (1 + x1)
  active(x1)		w: (51587 + 2 * x1)
  g(x1)		w: (1 + 2 * x1)
Number of strict rules: 1
Direct poly ... removes: 8
  h(x1)		w: (51587 + 2 * x1)
  top(x1)		w: (26929 + 2 * x1)
  f(x1)		w: (2 * x1)
  proper(x1)		w: (2 * x1)
  ok(x1)		w: (1 + x1)
  mark(x1)		w: (1 + x1)
  active(x1)		w: (1 + 2 * x1)
  g(x1)		w: (1 + 2 * x1)
Number of strict rules: 0