- : unit = ()
- : unit = ()
h : heuristic =
- : unit = ()
APPLY CRITERIA (Marked dependency pairs)
TRS termination of:
[1] .(1,x) -> x
[2] .(x,1) -> x
[3] .(i(x),x) -> 1
[4] .(x,i(x)) -> 1
[5] i(1) -> 1
[6] i(i(x)) -> x
[7] .(i(y),.(y,z)) -> z
[8] .(y,.(i(y),z)) -> z
[9] .(.(x,y),z) -> .(x,.(y,z))
[10] i(.(x,y)) -> .(i(y),i(x))
Sub problem:
guided:
DP termination of:
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:
{ -->
-->
-->
-->
}
{
-->
-->
-->
-->
}
APPLY CRITERIA (Subterm criterion)
ST: Marked_i -> 1
APPLY CRITERIA (Subterm criterion)
ST: Marked_. -> 1
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
TRS termination of:
[1] .(1,x) -> x
[2] .(x,1) -> x
[3] .(i(x),x) -> 1
[4] .(x,i(x)) -> 1
[5] i(1) -> 1
[6] i(i(x)) -> x
[7] .(i(y),.(y,z)) -> z
[8] .(y,.(i(y),z)) -> z
[9] .(.(x,y),z) -> .(x,.(y,z))
[10] i(.(x,y)) -> .(i(y),i(x))
,
CRITERION: MDP
[ {
DP termination of:
,
CRITERION: SG
[ {
DP termination of:
,
CRITERION: ST
[ {
DP termination of:
,
CRITERION: SG
[ ]}
]}
{
DP termination of:
,
CRITERION: ST
[ {
DP termination of:
,
CRITERION: SG
[ ]}
]}
]}
]}
Cime worked for 0.007337 seconds (real time)
Cime Exit Status: 0