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

TRS termination of:
[1] xor(x,F) -> x
[2] xor(x,neg(x)) -> F
[3] and(x,T) -> x
[4] and(x,F) -> F
[5] and(x,x) -> x
[6] and(xor(x,y),z) -> xor(and(x,z),and(y,z))
[7] xor(x,x) -> F
[8] impl(x,y) -> xor(and(x,y),xor(x,T))
[9] or(x,y) -> xor(and(x,y),xor(x,y))
[10] equiv(x,y) -> xor(x,xor(y,T))
[11] neg(x) -> xor(x,T)


Sub problem: 
guided: 

DP termination of:
<Marked_and(xor(x,y),z) , Marked_xor(and(x,z),and(y,z))>
<Marked_and(xor(x,y),z) , Marked_and(x,z)>
<Marked_and(xor(x,y),z) , Marked_and(y,z)>
<Marked_impl(x,y) , Marked_xor(and(x,y),xor(x,T))>
<Marked_impl(x,y) , Marked_and(x,y)>
<Marked_impl(x,y) , Marked_xor(x,T)>
<Marked_or(x,y) , Marked_xor(and(x,y),xor(x,y))>
<Marked_or(x,y) , Marked_and(x,y)>
<Marked_or(x,y) , Marked_xor(x,y)>
<Marked_equiv(x,y) , Marked_xor(x,xor(y,T))>
<Marked_equiv(x,y) , Marked_xor(y,T)>
<Marked_neg(x) , Marked_xor(x,T)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_and(xor(x,y),z) , Marked_and(y,z)> 
      --> <Marked_and(xor(x,y),z) , Marked_and(y,z)>
  <Marked_and(xor(x,y),z) , Marked_and(y,z)> 
     --> <Marked_and(xor(x,y),z) , Marked_and(x,z)>
  <Marked_and(xor(x,y),z) , Marked_and(x,z)> 
     --> <Marked_and(xor(x,y),z) , Marked_and(y,z)>
  <Marked_and(xor(x,y),z) , Marked_and(x,z)> 
     --> <Marked_and(xor(x,y),z) , Marked_and(x,z)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_and -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] xor(x,F) -> x
[2] xor(x,neg(x)) -> F
[3] and(x,T) -> x
[4] and(x,F) -> F
[5] and(x,x) -> x
[6] and(xor(x,y),z) -> xor(and(x,z),and(y,z))
[7] xor(x,x) -> F
[8] impl(x,y) -> xor(and(x,y),xor(x,T))
[9] or(x,y) -> xor(and(x,y),xor(x,y))
[10] equiv(x,y) -> xor(x,xor(y,T))
[11] neg(x) -> xor(x,T)
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_and(xor(x,y),z) , Marked_xor(and(x,z),and(y,z))>
<Marked_and(xor(x,y),z) , Marked_and(x,z)>
<Marked_and(xor(x,y),z) , Marked_and(y,z)>
<Marked_impl(x,y) , Marked_xor(and(x,y),xor(x,T))>
<Marked_impl(x,y) , Marked_and(x,y)>
<Marked_impl(x,y) , Marked_xor(x,T)>
<Marked_or(x,y) , Marked_xor(and(x,y),xor(x,y))>
<Marked_or(x,y) , Marked_and(x,y)>
<Marked_or(x,y) , Marked_xor(x,y)>
<Marked_equiv(x,y) , Marked_xor(x,xor(y,T))>
<Marked_equiv(x,y) , Marked_xor(y,T)>
<Marked_neg(x) , Marked_xor(x,T)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_and(xor(x,y),z) , Marked_and(x,z)>
<Marked_and(xor(x,y),z) , Marked_and(y,z)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 

Cime worked for 0.005881 seconds (real time)
Cime Exit Status: 0