/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__f(X) -> a__if(mark(X),c(),f(true()))
    2: a__if(true(),X,Y) -> mark(X)
    3: a__if(false(),X,Y) -> mark(Y)
    4: mark(f(X)) -> a__f(mark(X))
    5: mark(if(X1,X2,X3)) -> a__if(mark(X1),mark(X2),X3)
    6: mark(c()) -> c()
    7: mark(true()) -> true()
    8: mark(false()) -> false()
    9: a__f(X) -> f(X)
    10: a__if(X1,X2,X3) -> if(X1,X2,X3)
Number of strict rules: 10
Direct poly ... removes: 3
  a__f(x1)		w: (11943 + 2 * x1)
  false()		w: (26286)
  c()		w: (0)
  true()		w: (0)
  f(x1)		w: (11943 + 2 * x1)
  if(x1,x2,x3)		w: (x3 + x2 + x1)
  mark(x1)		w: (x1)
  a__if(x1,x2,x3)		w: (x3 + x2 + x1)
Number of strict rules: 9
Direct poly ... removes: 4 8 1 9 6
  a__f(x1)		w: (64811 + 2 * x1)
  false()		w: (26286)
  c()		w: (1)
  true()		w: (0)
  f(x1)		w: (64808 + 2 * x1)
  if(x1,x2,x3)		w: (x3 + 2 * x2 + x1)
  mark(x1)		w: (2 * x1)
  a__if(x1,x2,x3)		w: (x3 + 2 * x2 + x1)
Number of strict rules: 4
Direct poly ... removes: 5 10 2
  a__f(x1)		w: (23759 + 2 * x1)
  false()		w: (1)
  c()		w: (1324)
  true()		w: (0)
  f(x1)		w: (21108 + 2 * x1)
  if(x1,x2,x3)		w: (2 + x3 + 2 * x2 + x1)
  mark(x1)		w: (2 * x1)
  a__if(x1,x2,x3)		w: (3 + x3 + 2 * x2 + x1)
Number of strict rules: 1
Direct poly ... removes: 7
  a__f(x1)		w: (36123 + 2 * x1)
  false()		w: (1)
  c()		w: (1)
  true()		w: (0)
  f(x1)		w: (21108 + 2 * x1)
  if(x1,x2,x3)		w: (8730 + x3 + 2 * x2 + x1)
  mark(x1)		w: (3142 + 2 * x1)
  a__if(x1,x2,x3)		w: (8730 + x3 + x2 + 2 * x1)
Number of strict rules: 0