/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(2nd(cons(X,cons(Y,Z)))) -> mark(Y)
    2: active(from(X)) -> mark(cons(X,from(s(X))))
    3: active(2nd(X)) -> 2nd(active(X))
    4: active(cons(X1,X2)) -> cons(active(X1),X2)
    5: active(from(X)) -> from(active(X))
    6: active(s(X)) -> s(active(X))
    7: 2nd(mark(X)) -> mark(2nd(X))
    8: cons(mark(X1),X2) -> mark(cons(X1,X2))
    9: from(mark(X)) -> mark(from(X))
    10: s(mark(X)) -> mark(s(X))
    11: proper(2nd(X)) -> 2nd(proper(X))
    12: proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
    13: proper(from(X)) -> from(proper(X))
    14: proper(s(X)) -> s(proper(X))
    15: 2nd(ok(X)) -> ok(2nd(X))
    16: cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
    17: from(ok(X)) -> ok(from(X))
    18: s(ok(X)) -> ok(s(X))
    19: top(mark(X)) -> top(proper(X))
    20: top(ok(X)) -> top(active(X))
Number of strict rules: 20
Direct poly ... removes: 15 1 3 16 20 2
  s(x1)		w: (x1)
  top(x1)		w: (8404 + x1)
  2nd(x1)		w: (45991 + 2 * x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (47094 + 2 * x1)
  from(x1)		w: (x1)
  mark(x1)		w: (x1)
  active(x1)		w: (24338 + 2 * x1)
  cons(x1,x2)		w: (x2 + x1)
Number of strict rules: 14
Direct poly ... removes: 17
  s(x1)		w: (x1)
  top(x1)		w: (29797 + x1)
  2nd(x1)		w: (1 + x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (1 + 2 * x1)
  from(x1)		w: (2 * x1)
  mark(x1)		w: (x1)
  active(x1)		w: (x1)
  cons(x1,x2)		w: (x2 + x1)
Number of strict rules: 13
Direct poly ... removes: 8 19 9
  s(x1)		w: (x1)
  top(x1)		w: (24323 + 2 * x1)
  2nd(x1)		w: (42522 + x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (1 + 2 * x1)
  from(x1)		w: (2 * x1)
  mark(x1)		w: (29822 + x1)
  active(x1)		w: (x1)
  cons(x1,x2)		w: (x2 + 2 * x1)
Number of strict rules: 10
Direct poly ... removes: 18 10
  s(x1)		w: (2 * x1)
  top(x1)		w: (24323 + 2 * x1)
  2nd(x1)		w: (25192 + x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (1 + 2 * x1)
  from(x1)		w: (2 * x1)
  mark(x1)		w: (1 + x1)
  active(x1)		w: (x1)
  cons(x1,x2)		w: (x2 + 2 * x1)
Number of strict rules: 8
Direct poly ... removes: 11
  s(x1)		w: (2 * x1)
  top(x1)		w: (24323 + 2 * x1)
  2nd(x1)		w: (1 + x1)
  proper(x1)		w: (2 * x1)
  ok(x1)		w: (1 + 2 * x1)
  from(x1)		w: (x1)
  mark(x1)		w: (1 + x1)
  active(x1)		w: (x1)
  cons(x1,x2)		w: (x2 + 2 * x1)
Number of strict rules: 7
Direct poly ... removes: 7
  s(x1)		w: (2 * x1)
  top(x1)		w: (24323 + 2 * x1)
  2nd(x1)		w: (26815 + 2 * x1)
  proper(x1)		w: (2 * x1)
  ok(x1)		w: (1 + x1)
  from(x1)		w: (2 * x1)
  mark(x1)		w: (43988 + x1)
  active(x1)		w: (2 * x1)
  cons(x1,x2)		w: (x2 + 2 * x1)
Number of strict rules: 6
Direct poly ... removes: 4
  s(x1)		w: (x1)
  top(x1)		w: (24323 + x1)
  2nd(x1)		w: (1 + x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (1 + 2 * x1)
  from(x1)		w: (1 + 2 * x1)
  mark(x1)		w: (1 + 2 * x1)
  active(x1)		w: (1 + 2 * x1)
  cons(x1,x2)		w: (15330 + x2 + x1)
Number of strict rules: 5
Direct poly ... removes: 14 12 13
  s(x1)		w: (1 + x1)
  top(x1)		w: (24323 + 2 * x1)
  2nd(x1)		w: (721 + 2 * x1)
  proper(x1)		w: (722 + 2 * x1)
  ok(x1)		w: (720 + 2 * x1)
  from(x1)		w: (6389 + x1)
  mark(x1)		w: (13659 + x1)
  active(x1)		w: (7157 + x1)
  cons(x1,x2)		w: (1445 + x2 + 2 * x1)
Number of strict rules: 2
Direct poly ... removes: 5 6
  s(x1)		w: (44 + 2 * x1)
  top(x1)		w: (24323 + x1)
  2nd(x1)		w: (1 + x1)
  proper(x1)		w: (45 + x1)
  ok(x1)		w: (1 + 2 * x1)
  from(x1)		w: (44 + 2 * x1)
  mark(x1)		w: (43 + 2 * x1)
  active(x1)		w: (10 + 2 * x1)
  cons(x1,x2)		w: (3 + 2 * x2 + x1)
Number of strict rules: 0