- : unit = ()
- : unit = ()
h : heuristic = <heuristic>
- : unit = ()
APPLY CRITERIA (Marked dependency pairs)

TRS termination of:
[1] f(x,y,z) -> g(<=(x,y),x,y,z)
[2] g(true,x,y,z) -> z
[3] g(false,x,y,z) -> f(f(p(x),y,z),f(p(y),z,x),f(p(z),x,y))
[4] p(0) -> 0
[5] p(s(x)) -> x


Sub problem: 
guided: 

DP termination of:
<Marked_f(x,y,z) , Marked_g(<=(x,y),x,y,z)>
<Marked_g(false,x,y,z) , Marked_f(f(p(x),y,z),f(p(y),z,x),f(p(z),x,y))>
<Marked_g(false,x,y,z) , Marked_f(p(x),y,z)>
<Marked_g(false,x,y,z) , Marked_p(x)>
<Marked_g(false,x,y,z) , Marked_f(p(y),z,x)>
<Marked_g(false,x,y,z) , Marked_p(y)>
<Marked_g(false,x,y,z) , Marked_f(p(z),x,y)>
<Marked_g(false,x,y,z) , Marked_p(z)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] f(x,y,z) -> g(<=(x,y),x,y,z)
[2] g(true,x,y,z) -> z
[3] g(false,x,y,z) -> f(f(p(x),y,z),f(p(y),z,x),f(p(z),x,y))
[4] p(0) -> 0
[5] p(s(x)) -> x
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_f(x,y,z) , Marked_g(<=(x,y),x,y,z)>
<Marked_g(false,x,y,z) , Marked_f(f(p(x),y,z),f(p(y),z,x),f(p(z),x,y))>
<Marked_g(false,x,y,z) , Marked_f(p(x),y,z)>
<Marked_g(false,x,y,z) , Marked_p(x)>
<Marked_g(false,x,y,z) , Marked_f(p(y),z,x)>
<Marked_g(false,x,y,z) , Marked_p(y)>
<Marked_g(false,x,y,z) , Marked_f(p(z),x,y)>
<Marked_g(false,x,y,z) , Marked_p(z)>
 ,
 CRITERION: SG
 [  ]} 
 ]} 

Cime worked for 0.002795 seconds (real time)
Cime Exit Status: 0