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


--------------------------------------------------------------------------------


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: active(f(X)) -> f(active(X))
    5: active(if(X1,X2,X3)) -> if(active(X1),X2,X3)
    6: active(if(X1,X2,X3)) -> if(X1,active(X2),X3)
    7: f(mark(X)) -> mark(f(X))
    8: if(mark(X1),X2,X3) -> mark(if(X1,X2,X3))
    9: if(X1,mark(X2),X3) -> mark(if(X1,X2,X3))
    10: proper(f(X)) -> f(proper(X))
    11: proper(if(X1,X2,X3)) -> if(proper(X1),proper(X2),proper(X3))
    12: proper(c()) -> ok(c())
    13: proper(true()) -> ok(true())
    14: proper(false()) -> ok(false())
    15: f(ok(X)) -> ok(f(X))
    16: if(ok(X1),ok(X2),ok(X3)) -> ok(if(X1,X2,X3))
    17: top(mark(X)) -> top(proper(X))
    18: top(ok(X)) -> top(active(X))
Number of strict rules: 18
Direct poly ... removes: 3
  top(x1)		w: (20533 + x1)
  false()		w: (16021)
  c()		w: (0)
  true()		w: (0)
  f(x1)		w: (21394 + x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (x1)
  if(x1,x2,x3)		w: (x3 + x2 + x1)
  mark(x1)		w: (x1)
  active(x1)		w: (x1)
Number of strict rules: 17
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #active(if(X1,X2,X3)) -> #if(X1,active(X2),X3)
   #2: #active(if(X1,X2,X3)) -> #active(X2)
   #3: #if(X1,mark(X2),X3) -> #if(X1,X2,X3)
   #4: #proper(if(X1,X2,X3)) -> #if(proper(X1),proper(X2),proper(X3))
   #5: #proper(if(X1,X2,X3)) -> #proper(X1)
   #6: #proper(if(X1,X2,X3)) -> #proper(X2)
   #7: #proper(if(X1,X2,X3)) -> #proper(X3)
   #8: #f(mark(X)) -> #f(X)
   #9: #proper(f(X)) -> #f(proper(X))
   #10: #proper(f(X)) -> #proper(X)
   #11: #active(if(X1,X2,X3)) -> #if(active(X1),X2,X3)
   #12: #active(if(X1,X2,X3)) -> #active(X1)
   #13: #top(mark(X)) -> #top(proper(X))
   #14: #top(mark(X)) -> #proper(X)
   #15: #if(ok(X1),ok(X2),ok(X3)) -> #if(X1,X2,X3)
   #16: #active(f(X)) -> #if(X,c(),f(true()))
   #17: #active(f(X)) -> #f(true())
   #18: #if(mark(X1),X2,X3) -> #if(X1,X2,X3)
   #19: #f(ok(X)) -> #f(X)
   #20: #active(f(X)) -> #f(active(X))
   #21: #active(f(X)) -> #active(X)
   #22: #top(ok(X)) -> #top(active(X))
   #23: #top(ok(X)) -> #active(X)
Number of SCCs: 5, DPs: 14
	SCC { #8 #19 }
Sum... succeeded.
  top(x1)		w: (0)
  false()		w: (0)
  #top(x1)		w: (0)
  c()		w: (0)
  true()		w: (0)
  f(x1)		w: (0)
  proper(x1)		w: (0)
  ok(x1)		w: (1 + x1)
  if(x1,x2,x3)		w: (0)
  mark(x1)		w: (1 + x1)
  #f(x1)		w: (x1)
  #proper(x1)		w: (0)
  active(x1)		w: (0)
  #if(x1,x2,x3)		w: (0)
  #active(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #8 #19
Number of SCCs: 4, DPs: 12
	SCC { #13 #22 }
Sum... succeeded.
  top(x1)		w: (0)
  false()		w: (8366)
  #top(x1)		w: (x1)
  c()		w: (1)
  true()		w: (32286)
  f(x1)		w: (11800 + x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (x1)
  if(x1,x2,x3)		w: (1 + x2 + x1)
  mark(x1)		w: (1 + x1)
  #f(x1)		w: (0)
  #proper(x1)		w: (0)
  active(x1)		w: (x1)
  #if(x1,x2,x3)		w: (0)
  #active(x1)		w: (0)
    USABLE RULES: { 1 2 4..16 }
    Removed DPs: #13
Number of SCCs: 4, DPs: 11
	SCC { #22 }
Sum... succeeded.
  top(x1)		w: (0)
  false()		w: (1)
  #top(x1)		w: (x1)
  c()		w: (1)
  true()		w: (1)
  f(x1)		w: (x1)
  proper(x1)		w: (15923)
  ok(x1)		w: (15922 + x1)
  if(x1,x2,x3)		w: (x3)
  mark(x1)		w: (0)
  #f(x1)		w: (0)
  #proper(x1)		w: (0)
  active(x1)		w: (x1)
  #if(x1,x2,x3)		w: (0)
  #active(x1)		w: (0)
    USABLE RULES: { 1 2 4..16 }
    Removed DPs: #22
Number of SCCs: 3, DPs: 10
	SCC { #2 #12 #21 }
Sum... succeeded.
  top(x1)		w: (0)
  false()		w: (86)
  #top(x1)		w: (0)
  c()		w: (1)
  true()		w: (1)
  f(x1)		w: (591 + x1)
  proper(x1)		w: (756 + x1)
  ok(x1)		w: (0)
  if(x1,x2,x3)		w: (2447 + x3 + x2 + x1)
  mark(x1)		w: (1 + x1)
  #f(x1)		w: (0)
  #proper(x1)		w: (0)
  active(x1)		w: (0)
  #if(x1,x2,x3)		w: (0)
  #active(x1)		w: (x1)
    USABLE RULES: { 7..9 12..16 }
    Removed DPs: #2 #12 #21
Number of SCCs: 2, DPs: 7
	SCC { #5..7 #10 }
Sum... succeeded.
  top(x1)		w: (0)
  false()		w: (1)
  #top(x1)		w: (0)
  c()		w: (1)
  true()		w: (1)
  f(x1)		w: (1 + x1)
  proper(x1)		w: (13047 + x1)
  ok(x1)		w: (0)
  if(x1,x2,x3)		w: (3314 + x3 + x2 + x1)
  mark(x1)		w: (12618 + x1)
  #f(x1)		w: (0)
  #proper(x1)		w: (x1)
  active(x1)		w: (0)
  #if(x1,x2,x3)		w: (0)
  #active(x1)		w: (0)
    USABLE RULES: { 7..9 12..16 }
    Removed DPs: #5..7 #10
Number of SCCs: 1, DPs: 3
	SCC { #3 #15 #18 }
Sum... succeeded.
  top(x1)		w: (0)
  false()		w: (12280)
  #top(x1)		w: (0)
  c()		w: (1)
  true()		w: (13506)
  f(x1)		w: (7630)
  proper(x1)		w: (1 + x1)
  ok(x1)		w: (1 + x1)
  if(x1,x2,x3)		w: (1 + x2 + x1)
  mark(x1)		w: (29405 + x1)
  #f(x1)		w: (0)
  #proper(x1)		w: (0)
  active(x1)		w: (0)
  #if(x1,x2,x3)		w: (x3)
  #active(x1)		w: (0)
    USABLE RULES: { 8 9 12..14 16 }
    Removed DPs: #15
Number of SCCs: 1, DPs: 2
	SCC { #3 #18 }
Sum... succeeded.
  top(x1)		w: (0)
  false()		w: (26929)
  #top(x1)		w: (0)
  c()		w: (22115)
  true()		w: (1)
  f(x1)		w: (1)
  proper(x1)		w: (14138 + x1)
  ok(x1)		w: (1 + x1)
  if(x1,x2,x3)		w: (1 + x2 + x1)
  mark(x1)		w: (19265 + x1)
  #f(x1)		w: (0)
  #proper(x1)		w: (0)
  active(x1)		w: (0)
  #if(x1,x2,x3)		w: (x1)
  #active(x1)		w: (0)
    USABLE RULES: { 8 9 12..14 16 }
    Removed DPs: #18
Number of SCCs: 1, DPs: 1
	SCC { #3 }
Sum... succeeded.
  top(x1)		w: (0)
  false()		w: (13214)
  #top(x1)		w: (0)
  c()		w: (21427)
  true()		w: (1)
  f(x1)		w: (1)
  proper(x1)		w: (14098 + x1)
  ok(x1)		w: (1 + x1)
  if(x1,x2,x3)		w: (1 + x2 + x1)
  mark(x1)		w: (24773 + x1)
  #f(x1)		w: (0)
  #proper(x1)		w: (0)
  active(x1)		w: (0)
  #if(x1,x2,x3)		w: (x2)
  #active(x1)		w: (0)
    USABLE RULES: { 8 9 12..14 16 }
    Removed DPs: #3
Number of SCCs: 0, DPs: 0