Problem Transformed CSR 04 Ex49 GM04 C

Tool CaT

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

stdout:

MAYBE

Problem:
active(minus(0(),Y)) -> mark(0())
active(minus(s(X),s(Y))) -> mark(minus(X,Y))
active(geq(X,0())) -> mark(true())
active(geq(0(),s(Y))) -> mark(false())
active(geq(s(X),s(Y))) -> mark(geq(X,Y))
active(div(0(),s(Y))) -> mark(0())
active(div(s(X),s(Y))) -> mark(if(geq(X,Y),s(div(minus(X,Y),s(Y))),0()))
active(if(true(),X,Y)) -> mark(X)
active(if(false(),X,Y)) -> mark(Y)
active(s(X)) -> s(active(X))
active(div(X1,X2)) -> div(active(X1),X2)
active(if(X1,X2,X3)) -> if(active(X1),X2,X3)
s(mark(X)) -> mark(s(X))
div(mark(X1),X2) -> mark(div(X1,X2))
if(mark(X1),X2,X3) -> mark(if(X1,X2,X3))
proper(minus(X1,X2)) -> minus(proper(X1),proper(X2))
proper(0()) -> ok(0())
proper(s(X)) -> s(proper(X))
proper(geq(X1,X2)) -> geq(proper(X1),proper(X2))
proper(true()) -> ok(true())
proper(false()) -> ok(false())
proper(div(X1,X2)) -> div(proper(X1),proper(X2))
proper(if(X1,X2,X3)) -> if(proper(X1),proper(X2),proper(X3))
minus(ok(X1),ok(X2)) -> ok(minus(X1,X2))
s(ok(X)) -> ok(s(X))
geq(ok(X1),ok(X2)) -> ok(geq(X1,X2))
div(ok(X1),ok(X2)) -> ok(div(X1,X2))
if(ok(X1),ok(X2),ok(X3)) -> ok(if(X1,X2,X3))
top(mark(X)) -> top(proper(X))
top(ok(X)) -> top(active(X))

Proof:
Open

Tool IRC1

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

stdout:

MAYBE

Tool IRC2

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

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

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

stdout:

MAYBE

Tool RC2

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

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds