Problem Transformed CSR 04 Ex49 GM04 GM

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex49 GM04 GM

stdout:

MAYBE

Problem:
a__minus(0(),Y) -> 0()
a__minus(s(X),s(Y)) -> a__minus(X,Y)
a__geq(X,0()) -> true()
a__geq(0(),s(Y)) -> false()
a__geq(s(X),s(Y)) -> a__geq(X,Y)
a__div(0(),s(Y)) -> 0()
a__div(s(X),s(Y)) -> a__if(a__geq(X,Y),s(div(minus(X,Y),s(Y))),0())
a__if(true(),X,Y) -> mark(X)
a__if(false(),X,Y) -> mark(Y)
mark(minus(X1,X2)) -> a__minus(X1,X2)
mark(geq(X1,X2)) -> a__geq(X1,X2)
mark(div(X1,X2)) -> a__div(mark(X1),X2)
mark(if(X1,X2,X3)) -> a__if(mark(X1),X2,X3)
mark(0()) -> 0()
mark(s(X)) -> s(mark(X))
mark(true()) -> true()
mark(false()) -> false()
a__minus(X1,X2) -> minus(X1,X2)
a__geq(X1,X2) -> geq(X1,X2)
a__div(X1,X2) -> div(X1,X2)
a__if(X1,X2,X3) -> if(X1,X2,X3)

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex49 GM04 GM

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex49 GM04 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a__minus(0(), Y) -> 0()
     , a__minus(s(X), s(Y)) -> a__minus(X, Y)
     , a__geq(X, 0()) -> true()
     , a__geq(0(), s(Y)) -> false()
     , a__geq(s(X), s(Y)) -> a__geq(X, Y)
     , a__div(0(), s(Y)) -> 0()
     , a__div(s(X), s(Y)) ->
       a__if(a__geq(X, Y), s(div(minus(X, Y), s(Y))), 0())
     , a__if(true(), X, Y) -> mark(X)
     , a__if(false(), X, Y) -> mark(Y)
     , mark(minus(X1, X2)) -> a__minus(X1, X2)
     , mark(geq(X1, X2)) -> a__geq(X1, X2)
     , mark(div(X1, X2)) -> a__div(mark(X1), X2)
     , mark(if(X1, X2, X3)) -> a__if(mark(X1), X2, X3)
     , mark(0()) -> 0()
     , mark(s(X)) -> s(mark(X))
     , mark(true()) -> true()
     , mark(false()) -> false()
     , a__minus(X1, X2) -> minus(X1, X2)
     , a__geq(X1, X2) -> geq(X1, X2)
     , a__div(X1, X2) -> div(X1, X2)
     , a__if(X1, X2, X3) -> if(X1, X2, X3)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex49 GM04 GM

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex49 GM04 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  a__minus(0(), Y) -> 0()
     , a__minus(s(X), s(Y)) -> a__minus(X, Y)
     , a__geq(X, 0()) -> true()
     , a__geq(0(), s(Y)) -> false()
     , a__geq(s(X), s(Y)) -> a__geq(X, Y)
     , a__div(0(), s(Y)) -> 0()
     , a__div(s(X), s(Y)) ->
       a__if(a__geq(X, Y), s(div(minus(X, Y), s(Y))), 0())
     , a__if(true(), X, Y) -> mark(X)
     , a__if(false(), X, Y) -> mark(Y)
     , mark(minus(X1, X2)) -> a__minus(X1, X2)
     , mark(geq(X1, X2)) -> a__geq(X1, X2)
     , mark(div(X1, X2)) -> a__div(mark(X1), X2)
     , mark(if(X1, X2, X3)) -> a__if(mark(X1), X2, X3)
     , mark(0()) -> 0()
     , mark(s(X)) -> s(mark(X))
     , mark(true()) -> true()
     , mark(false()) -> false()
     , a__minus(X1, X2) -> minus(X1, X2)
     , a__geq(X1, X2) -> geq(X1, X2)
     , a__div(X1, X2) -> div(X1, X2)
     , a__if(X1, X2, X3) -> if(X1, X2, X3)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds