/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(f(X))) -> mark(c(f(g(f(X)))))
    2: active(c(X)) -> mark(d(X))
    3: active(h(X)) -> mark(c(d(X)))
    4: active(f(X)) -> f(active(X))
    5: active(h(X)) -> h(active(X))
    6: f(mark(X)) -> mark(f(X))
    7: h(mark(X)) -> mark(h(X))
    8: proper(f(X)) -> f(proper(X))
    9: proper(c(X)) -> c(proper(X))
    10: proper(g(X)) -> g(proper(X))
    11: proper(d(X)) -> d(proper(X))
    12: proper(h(X)) -> h(proper(X))
    13: f(ok(X)) -> ok(f(X))
    14: c(ok(X)) -> ok(c(X))
    15: g(ok(X)) -> ok(g(X))
    16: d(ok(X)) -> ok(d(X))
    17: h(ok(X)) -> ok(h(X))
    18: top(mark(X)) -> top(proper(X))
    19: top(ok(X)) -> top(active(X))
Number of strict rules: 19
Direct poly ... removes: 18 4 1 3 19 13 6 2
  h(x1)		w: (x1)
  d(x1)		w: (x1)
  top(x1)		w: (29272 + x1)
  c(x1)		w: (x1)
  f(x1)		w: (2390 + 2 * x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (14462 + 2 * x1)
  mark(x1)		w: (2388 + x1)
  active(x1)		w: (2389 + 2 * x1)
  g(x1)		w: (x1)
Number of strict rules: 11
Direct poly ... removes: 15
  h(x1)		w: (x1)
  d(x1)		w: (x1)
  top(x1)		w: (29272 + x1)
  c(x1)		w: (x1)
  f(x1)		w: (11668 + 2 * x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (11668 + 2 * x1)
  mark(x1)		w: (3515 + x1)
  active(x1)		w: (5825 + 2 * x1)
  g(x1)		w: (2 * x1)
Number of strict rules: 10
Direct poly ... removes: 8 10
  h(x1)		w: (x1)
  d(x1)		w: (x1)
  top(x1)		w: (29272 + x1)
  c(x1)		w: (x1)
  f(x1)		w: (39585 + 2 * x1)
  proper(x1)		w: (2 * x1)
  ok(x1)		w: (1769 + x1)
  mark(x1)		w: (21096 + x1)
  active(x1)		w: (1 + 2 * x1)
  g(x1)		w: (9245 + 2 * x1)
Number of strict rules: 8
Direct poly ... removes: 17 7
  h(x1)		w: (2 * x1)
  d(x1)		w: (x1)
  top(x1)		w: (60079 + 2 * x1)
  c(x1)		w: (x1)
  f(x1)		w: (39585 + 2 * x1)
  proper(x1)		w: (2 * x1)
  ok(x1)		w: (1 + x1)
  mark(x1)		w: (1 + x1)
  active(x1)		w: (2 * x1)
  g(x1)		w: (1 + 2 * x1)
Number of strict rules: 6
Direct poly ... removes: 14
  h(x1)		w: (2 + 2 * x1)
  d(x1)		w: (2 + 2 * x1)
  top(x1)		w: (61989 + 2 * x1)
  c(x1)		w: (1 + 2 * x1)
  f(x1)		w: (1 + x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (2 + 2 * x1)
  mark(x1)		w: (1 + 2 * x1)
  active(x1)		w: (x1)
  g(x1)		w: (1 + 2 * x1)
Number of strict rules: 5
Direct poly ... removes: 16
  h(x1)		w: (2 + 2 * x1)
  d(x1)		w: (1 + 2 * x1)
  top(x1)		w: (61989 + 2 * x1)
  c(x1)		w: (1 + 2 * x1)
  f(x1)		w: (1 + x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (2 + 2 * x1)
  mark(x1)		w: (1 + 2 * x1)
  active(x1)		w: (x1)
  g(x1)		w: (1 + 2 * x1)
Number of strict rules: 4
Direct poly ... removes: 12 11 9
  h(x1)		w: (3 + x1)
  d(x1)		w: (1 + x1)
  top(x1)		w: (26556 + 2 * x1)
  c(x1)		w: (1 + 2 * x1)
  f(x1)		w: (1 + x1)
  proper(x1)		w: (2 * x1)
  ok(x1)		w: (26205 + 2 * x1)
  mark(x1)		w: (32002 + 2 * x1)
  active(x1)		w: (x1)
  g(x1)		w: (20038 + 2 * x1)
Number of strict rules: 1
Direct poly ... removes: 5
  h(x1)		w: (15876 + x1)
  d(x1)		w: (26953 + x1)
  top(x1)		w: (26556 + 2 * x1)
  c(x1)		w: (1 + 2 * x1)
  f(x1)		w: (1 + x1)
  proper(x1)		w: (2 * x1)
  ok(x1)		w: (1 + 2 * x1)
  mark(x1)		w: (1 + 2 * x1)
  active(x1)		w: (2 * x1)
  g(x1)		w: (1 + 2 * x1)
Number of strict rules: 0