Problem Mixed innermost wiehe13

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Mixed innermost wiehe13

stdout:

MAYBE

Problem:
quot(0(),s(y),s(z)) -> 0()
quot(s(x),s(y),z) -> quot(x,y,z)
plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y)))))
plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x))
plus(zero(),y) -> y
plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y))))
id(x) -> x
if(true(),x,y) -> x
if(false(),x,y) -> y
not(x) -> if(x,false(),true())
gt(s(x),zero()) -> true()
gt(zero(),y) -> false()
gt(s(x),s(y)) -> gt(x,y)
quot(x,0(),s(z)) -> s(quot(x,plus(z,s(0())),s(z)))

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Mixed innermost wiehe13

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Mixed innermost wiehe13

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  quot(0(), s(y), s(z)) -> 0()
     , quot(s(x), s(y), z) -> quot(x, y, z)
     , plus(s(x), s(y)) ->
       s(s(plus(if(gt(x, y), x, y), if(not(gt(x, y)), id(x), id(y)))))
     , plus(s(x), x) -> plus(if(gt(x, x), id(x), id(x)), s(x))
     , plus(zero(), y) -> y
     , plus(id(x), s(y)) -> s(plus(x, if(gt(s(y), y), y, s(y))))
     , id(x) -> x
     , if(true(), x, y) -> x
     , if(false(), x, y) -> y
     , not(x) -> if(x, false(), true())
     , gt(s(x), zero()) -> true()
     , gt(zero(), y) -> false()
     , gt(s(x), s(y)) -> gt(x, y)
     , quot(x, 0(), s(z)) -> s(quot(x, plus(z, s(0())), s(z)))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Mixed innermost wiehe13

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Mixed innermost wiehe13

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  quot(0(), s(y), s(z)) -> 0()
     , quot(s(x), s(y), z) -> quot(x, y, z)
     , plus(s(x), s(y)) ->
       s(s(plus(if(gt(x, y), x, y), if(not(gt(x, y)), id(x), id(y)))))
     , plus(s(x), x) -> plus(if(gt(x, x), id(x), id(x)), s(x))
     , plus(zero(), y) -> y
     , plus(id(x), s(y)) -> s(plus(x, if(gt(s(y), y), y, s(y))))
     , id(x) -> x
     , if(true(), x, y) -> x
     , if(false(), x, y) -> y
     , not(x) -> if(x, false(), true())
     , gt(s(x), zero()) -> true()
     , gt(zero(), y) -> false()
     , gt(s(x), s(y)) -> gt(x, y)
     , quot(x, 0(), s(z)) -> s(quot(x, plus(z, s(0())), s(z)))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds