Input TRS:
    1: f(s(x1),x2,x3,x4,x5,x6,x7,x8,x9,x10) -> f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
    2: f(0(),s(x2),x3,x4,x5,x6,x7,x8,x9,x10) -> f(x2,x2,x3,x4,x5,x6,x7,x8,x9,x10)
    3: f(0(),0(),s(x3),x4,x5,x6,x7,x8,x9,x10) -> f(x3,x3,x3,x4,x5,x6,x7,x8,x9,x10)
    4: f(0(),0(),0(),s(x4),x5,x6,x7,x8,x9,x10) -> f(x4,x4,x4,x4,x5,x6,x7,x8,x9,x10)
    5: f(0(),0(),0(),0(),s(x5),x6,x7,x8,x9,x10) -> f(x5,x5,x5,x5,x5,x6,x7,x8,x9,x10)
    6: f(0(),0(),0(),0(),0(),s(x6),x7,x8,x9,x10) -> f(x6,x6,x6,x6,x6,x6,x7,x8,x9,x10)
    7: f(0(),0(),0(),0(),0(),0(),s(x7),x8,x9,x10) -> f(x7,x7,x7,x7,x7,x7,x7,x8,x9,x10)
    8: f(0(),0(),0(),0(),0(),0(),0(),s(x8),x9,x10) -> f(x8,x8,x8,x8,x8,x8,x8,x8,x9,x10)
    9: f(0(),0(),0(),0(),0(),0(),0(),0(),s(x9),x10) -> f(x9,x9,x9,x9,x9,x9,x9,x9,x9,x10)
    10: f(0(),0(),0(),0(),0(),0(),0(),0(),0(),s(x10)) -> f(x10,x10,x10,x10,x10,x10,x10,x10,x10,x10)
    11: f(0(),0(),0(),0(),0(),0(),0(),0(),0(),0()) -> 0()
Number of strict rules: 11
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(0(),s(x2),x3,x4,x5,x6,x7,x8,x9,x10) -> #f(x2,x2,x3,x4,x5,x6,x7,x8,x9,x10)
   #2: #f(0(),0(),0(),0(),0(),s(x6),x7,x8,x9,x10) -> #f(x6,x6,x6,x6,x6,x6,x7,x8,x9,x10)
   #3: #f(0(),0(),0(),0(),0(),0(),0(),0(),s(x9),x10) -> #f(x9,x9,x9,x9,x9,x9,x9,x9,x9,x10)
   #4: #f(0(),0(),0(),0(),0(),0(),s(x7),x8,x9,x10) -> #f(x7,x7,x7,x7,x7,x7,x7,x8,x9,x10)
   #5: #f(0(),0(),0(),0(),0(),0(),0(),0(),0(),s(x10)) -> #f(x10,x10,x10,x10,x10,x10,x10,x10,x10,x10)
   #6: #f(0(),0(),0(),0(),s(x5),x6,x7,x8,x9,x10) -> #f(x5,x5,x5,x5,x5,x6,x7,x8,x9,x10)
   #7: #f(0(),0(),s(x3),x4,x5,x6,x7,x8,x9,x10) -> #f(x3,x3,x3,x4,x5,x6,x7,x8,x9,x10)
   #8: #f(s(x1),x2,x3,x4,x5,x6,x7,x8,x9,x10) -> #f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
   #9: #f(0(),0(),0(),0(),0(),0(),0(),s(x8),x9,x10) -> #f(x8,x8,x8,x8,x8,x8,x8,x8,x9,x10)
   #10: #f(0(),0(),0(),s(x4),x5,x6,x7,x8,x9,x10) -> #f(x4,x4,x4,x4,x5,x6,x7,x8,x9,x10)
Number of SCCs: 1, DPs: 10, edges: 100
	SCC { #1..10 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
     f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: 0
     0()	weight: 0
   #f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: x10
    Usable rules: { }
    Removed DPs: #5
Number of SCCs: 1, DPs: 9, edges: 81
	SCC { #1..4 #6..10 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
     f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: 0
     0()	weight: 0
   #f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: x9
    Usable rules: { }
    Removed DPs: #3
Number of SCCs: 1, DPs: 8, edges: 64
	SCC { #1 #2 #4 #6..10 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
     f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: 0
     0()	weight: 0
   #f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: x8
    Usable rules: { }
    Removed DPs: #9
Number of SCCs: 1, DPs: 7, edges: 49
	SCC { #1 #2 #4 #6..8 #10 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
     f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: 0
     0()	weight: 0
   #f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: x7
    Usable rules: { }
    Removed DPs: #4
Number of SCCs: 1, DPs: 6, edges: 36
	SCC { #1 #2 #6..8 #10 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
     f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: 0
     0()	weight: 0
   #f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: x6
    Usable rules: { }
    Removed DPs: #2
Number of SCCs: 1, DPs: 5, edges: 25
	SCC { #1 #6..8 #10 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
     f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: 0
     0()	weight: 0
   #f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: x5
    Usable rules: { }
    Removed DPs: #6
Number of SCCs: 1, DPs: 4, edges: 16
	SCC { #1 #7 #8 #10 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
     f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: 0
     0()	weight: 0
   #f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: x4
    Usable rules: { }
    Removed DPs: #10
Number of SCCs: 1, DPs: 3, edges: 9
	SCC { #1 #7 #8 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
     f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: 0
     0()	weight: 0
   #f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: x3
    Usable rules: { }
    Removed DPs: #7
Number of SCCs: 1, DPs: 2, edges: 4
	SCC { #1 #8 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
     f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: 0
     0()	weight: 0
   #f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: x2
    Usable rules: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #8 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
     f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: 0
     0()	weight: 0
   #f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)	weight: x1
    Usable rules: { }
    Removed DPs: #8
Number of SCCs: 0, DPs: 0, edges: 0
YES