Problem SK90 4.60

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	SK90 4.60

stdout:

MAYBE

Problem:
msort(nil()) -> nil()
msort(.(x,y)) -> .(min(x,y),msort(del(min(x,y),.(x,y))))
min(x,nil()) -> x
min(x,.(y,z)) -> if(<=(x,y),min(x,z),min(y,z))
del(x,nil()) -> nil()
del(x,.(y,z)) -> if(=(x,y),z,.(y,del(x,z)))

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	SK90 4.60

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 4.60

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  msort(nil()) -> nil()
     , msort(.(x, y)) -> .(min(x, y), msort(del(min(x, y), .(x, y))))
     , min(x, nil()) -> x
     , min(x, .(y, z)) -> if(<=(x, y), min(x, z), min(y, z))
     , del(x, nil()) -> nil()
     , del(x, .(y, z)) -> if(=(x, y), z, .(y, del(x, z)))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	SK90 4.60

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 4.60

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  msort(nil()) -> nil()
     , msort(.(x, y)) -> .(min(x, y), msort(del(min(x, y), .(x, y))))
     , min(x, nil()) -> x
     , min(x, .(y, z)) -> if(<=(x, y), min(x, z), min(y, z))
     , del(x, nil()) -> nil()
     , del(x, .(y, z)) -> if(=(x, y), z, .(y, del(x, z)))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool pair1rc

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 4.60

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  msort(nil()) -> nil()
     , msort(.(x, y)) -> .(min(x, y), msort(del(min(x, y), .(x, y))))
     , min(x, nil()) -> x
     , min(x, .(y, z)) -> if(<=(x, y), min(x, z), min(y, z))
     , del(x, nil()) -> nil()
     , del(x, .(y, z)) -> if(=(x, y), z, .(y, del(x, z)))}
  StartTerms: basic terms
  Strategy: none

Certificate: TIMEOUT

Application of 'pair1 (timeout of 60.0 seconds)':
-------------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..

Tool pair2rc

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 4.60

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  msort(nil()) -> nil()
     , msort(.(x, y)) -> .(min(x, y), msort(del(min(x, y), .(x, y))))
     , min(x, nil()) -> x
     , min(x, .(y, z)) -> if(<=(x, y), min(x, z), min(y, z))
     , del(x, nil()) -> nil()
     , del(x, .(y, z)) -> if(=(x, y), z, .(y, del(x, z)))}
  StartTerms: basic terms
  Strategy: none

Certificate: TIMEOUT

Application of 'pair2 (timeout of 60.0 seconds)':
-------------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..

Tool pair3irc

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 4.60

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  msort(nil()) -> nil()
     , msort(.(x, y)) -> .(min(x, y), msort(del(min(x, y), .(x, y))))
     , min(x, nil()) -> x
     , min(x, .(y, z)) -> if(<=(x, y), min(x, z), min(y, z))
     , del(x, nil()) -> nil()
     , del(x, .(y, z)) -> if(=(x, y), z, .(y, del(x, z)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: TIMEOUT

Application of 'pair3 (timeout of 60.0 seconds)':
-------------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..

Tool pair3rc

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 4.60

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  msort(nil()) -> nil()
     , msort(.(x, y)) -> .(min(x, y), msort(del(min(x, y), .(x, y))))
     , min(x, nil()) -> x
     , min(x, .(y, z)) -> if(<=(x, y), min(x, z), min(y, z))
     , del(x, nil()) -> nil()
     , del(x, .(y, z)) -> if(=(x, y), z, .(y, del(x, z)))}
  StartTerms: basic terms
  Strategy: none

Certificate: TIMEOUT

Application of 'pair3 (timeout of 60.0 seconds)':
-------------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..

Tool rc

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 4.60

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  msort(nil()) -> nil()
     , msort(.(x, y)) -> .(min(x, y), msort(del(min(x, y), .(x, y))))
     , min(x, nil()) -> x
     , min(x, .(y, z)) -> if(<=(x, y), min(x, z), min(y, z))
     , del(x, nil()) -> nil()
     , del(x, .(y, z)) -> if(=(x, y), z, .(y, del(x, z)))}
  StartTerms: basic terms
  Strategy: none

Certificate: TIMEOUT

Application of 'rc (timeout of 60.0 seconds)':
----------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..

Tool tup3irc

Execution Time	60.548763ms
Answer	TIMEOUT
Input	SK90 4.60

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  msort(nil()) -> nil()
     , msort(.(x, y)) -> .(min(x, y), msort(del(min(x, y), .(x, y))))
     , min(x, nil()) -> x
     , min(x, .(y, z)) -> if(<=(x, y), min(x, z), min(y, z))
     , del(x, nil()) -> nil()
     , del(x, .(y, z)) -> if(=(x, y), z, .(y, del(x, z)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: TIMEOUT

Application of 'tup3 (timeout of 60.0 seconds)':
------------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..