/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
Input TRS:
    1: active(f(X)) -> mark(if(X,c(),f(true())))
    2: active(if(true(),X,Y)) -> mark(X)
    3: active(if(false(),X,Y)) -> mark(Y)
    4: mark(f(X)) -> active(f(mark(X)))
    5: mark(if(X1,X2,X3)) -> active(if(mark(X1),mark(X2),X3))
    6: mark(c()) -> active(c())
    7: mark(true()) -> active(true())
    8: mark(false()) -> active(false())
    9: f(mark(X)) -> f(X)
    10: f(active(X)) -> f(X)
    11: if(mark(X1),X2,X3) -> if(X1,X2,X3)
    12: if(X1,mark(X2),X3) -> if(X1,X2,X3)
    13: if(X1,X2,mark(X3)) -> if(X1,X2,X3)
    14: if(active(X1),X2,X3) -> if(X1,X2,X3)
    15: if(X1,active(X2),X3) -> if(X1,X2,X3)
    16: if(X1,X2,active(X3)) -> if(X1,X2,X3)
Number of strict rules: 16
Direct poly ... removes: 3
  false()		w: (27857)
  c()		w: (0)
  true()		w: (0)
  f(x1)		w: (24338 + x1)
  if(x1,x2,x3)		w: (x3 + x2 + x1)
  mark(x1)		w: (x1)
  active(x1)		w: (x1)
Number of strict rules: 15
Direct poly ... removes: 8
  false()		w: (12701)
  c()		w: (0)
  true()		w: (0)
  f(x1)		w: (2 * x1)
  if(x1,x2,x3)		w: (x3 + 2 * x2 + x1)
  mark(x1)		w: (2 * x1)
  active(x1)		w: (x1)
Number of strict rules: 14
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #active(if(true(),X,Y)) -> #mark(X)
   #2: #mark(c()) -> #active(c())
   #3: #if(X1,X2,mark(X3)) -> #if(X1,X2,X3)
   #4: #f(mark(X)) -> #f(X)
   #5: #if(mark(X1),X2,X3) -> #if(X1,X2,X3)
   #6: #if(X1,mark(X2),X3) -> #if(X1,X2,X3)
   #7: #if(active(X1),X2,X3) -> #if(X1,X2,X3)
   #8: #mark(true()) -> #active(true())
   #9: #f(active(X)) -> #f(X)
   #10: #mark(if(X1,X2,X3)) -> #active(if(mark(X1),mark(X2),X3))
   #11: #mark(if(X1,X2,X3)) -> #if(mark(X1),mark(X2),X3)
   #12: #mark(if(X1,X2,X3)) -> #mark(X1)
   #13: #mark(if(X1,X2,X3)) -> #mark(X2)
   #14: #if(X1,X2,active(X3)) -> #if(X1,X2,X3)
   #15: #active(f(X)) -> #mark(if(X,c(),f(true())))
   #16: #active(f(X)) -> #if(X,c(),f(true()))
   #17: #active(f(X)) -> #f(true())
   #18: #if(X1,active(X2),X3) -> #if(X1,X2,X3)
   #19: #mark(f(X)) -> #active(f(mark(X)))
   #20: #mark(f(X)) -> #f(mark(X))
   #21: #mark(f(X)) -> #mark(X)
Number of SCCs: 3, DPs: 15
	SCC { #4 #9 }
Sum... succeeded.
  false()		w: (0)
  c()		w: (0)
  true()		w: (0)
  f(x1)		w: (0)
  #mark(x1)		w: (0)
  if(x1,x2,x3)		w: (0)
  mark(x1)		w: (1 + x1)
  #f(x1)		w: (x1)
  active(x1)		w: (1 + x1)
  #if(x1,x2,x3)		w: (0)
  #active(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4 #9
Number of SCCs: 2, DPs: 13
	SCC { #1 #10 #12 #13 #15 #19 #21 }
Sum... succeeded.
  false()		w: (0)
  c()		w: (32286)
  true()		w: (8366)
  f(x1)		w: (32291 + x1)
  #mark(x1)		w: (10451 + x1)
  if(x1,x2,x3)		w: (3 + x2 + x1)
  mark(x1)		w: (x1)
  #f(x1)		w: (0)
  active(x1)		w: (x1)
  #if(x1,x2,x3)		w: (0)
  #active(x1)		w: (10450 + x1)
    USABLE RULES: { 1 2 4..7 9..16 }
    Removed DPs: #1 #10 #12 #13 #15 #19 #21
Number of SCCs: 1, DPs: 6
	SCC { #3 #5..7 #14 #18 }
Sum... succeeded.
  false()		w: (0)
  c()		w: (20538)
  true()		w: (0)
  f(x1)		w: (0)
  #mark(x1)		w: (10451 + x1)
  if(x1,x2,x3)		w: (1 + x3)
  mark(x1)		w: (x1)
  #f(x1)		w: (0)
  active(x1)		w: (1 + x1)
  #if(x1,x2,x3)		w: (x3 + x2 + x1)
  #active(x1)		w: (10450 + x1)
    USABLE RULES: { 9..16 }
    Removed DPs: #7 #14 #18
Number of SCCs: 1, DPs: 3
	SCC { #3 #5 #6 }
Sum... succeeded.
  false()		w: (0)
  c()		w: (1)
  true()		w: (0)
  f(x1)		w: (x1)
  #mark(x1)		w: (10451)
  if(x1,x2,x3)		w: (1 + x1)
  mark(x1)		w: (1 + x1)
  #f(x1)		w: (0)
  active(x1)		w: (3)
  #if(x1,x2,x3)		w: (x3 + x2 + x1)
  #active(x1)		w: (10450)
    USABLE RULES: { }
    Removed DPs: #3 #5 #6
Number of SCCs: 0, DPs: 0