Problem Der95 33

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Der95 33

stdout:

MAYBE

Problem:
h(z,e(x)) -> h(c(z),d(z,x))
d(z,g(0(),0())) -> e(0())
d(z,g(x,y)) -> g(e(x),d(z,y))
d(c(z),g(g(x,y),0())) -> g(d(c(z),g(x,y)),d(z,g(x,y)))
g(e(x),e(y)) -> e(g(x,y))

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Der95 33

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Der95 33

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  h(z, e(x)) -> h(c(z), d(z, x))
     , d(z, g(0(), 0())) -> e(0())
     , d(z, g(x, y)) -> g(e(x), d(z, y))
     , d(c(z), g(g(x, y), 0())) -> g(d(c(z), g(x, y)), d(z, g(x, y)))
     , g(e(x), e(y)) -> e(g(x, y))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Der95 33

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Der95 33

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  h(z, e(x)) -> h(c(z), d(z, x))
     , d(z, g(0(), 0())) -> e(0())
     , d(z, g(x, y)) -> g(e(x), d(z, y))
     , d(c(z), g(g(x, y), 0())) -> g(d(c(z), g(x, y)), d(z, g(x, y)))
     , g(e(x), e(y)) -> e(g(x, y))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool pair1rc

Execution Time	Unknown
Answer	TIMEOUT
Input	Der95 33

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  h(z, e(x)) -> h(c(z), d(z, x))
     , d(z, g(0(), 0())) -> e(0())
     , d(z, g(x, y)) -> g(e(x), d(z, y))
     , d(c(z), g(g(x, y), 0())) -> g(d(c(z), g(x, y)), d(z, g(x, y)))
     , g(e(x), e(y)) -> e(g(x, y))}
  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	Der95 33

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  h(z, e(x)) -> h(c(z), d(z, x))
     , d(z, g(0(), 0())) -> e(0())
     , d(z, g(x, y)) -> g(e(x), d(z, y))
     , d(c(z), g(g(x, y), 0())) -> g(d(c(z), g(x, y)), d(z, g(x, y)))
     , g(e(x), e(y)) -> e(g(x, y))}
  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	Der95 33

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  h(z, e(x)) -> h(c(z), d(z, x))
     , d(z, g(0(), 0())) -> e(0())
     , d(z, g(x, y)) -> g(e(x), d(z, y))
     , d(c(z), g(g(x, y), 0())) -> g(d(c(z), g(x, y)), d(z, g(x, y)))
     , g(e(x), e(y)) -> e(g(x, y))}
  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	Der95 33

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  h(z, e(x)) -> h(c(z), d(z, x))
     , d(z, g(0(), 0())) -> e(0())
     , d(z, g(x, y)) -> g(e(x), d(z, y))
     , d(c(z), g(g(x, y), 0())) -> g(d(c(z), g(x, y)), d(z, g(x, y)))
     , g(e(x), e(y)) -> e(g(x, y))}
  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	Der95 33

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  h(z, e(x)) -> h(c(z), d(z, x))
     , d(z, g(0(), 0())) -> e(0())
     , d(z, g(x, y)) -> g(e(x), d(z, y))
     , d(c(z), g(g(x, y), 0())) -> g(d(c(z), g(x, y)), d(z, g(x, y)))
     , g(e(x), e(y)) -> e(g(x, y))}
  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	60.058163ms
Answer	TIMEOUT
Input	Der95 33

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  h(z, e(x)) -> h(c(z), d(z, x))
     , d(z, g(0(), 0())) -> e(0())
     , d(z, g(x, y)) -> g(e(x), d(z, y))
     , d(c(z), g(g(x, y), 0())) -> g(d(c(z), g(x, y)), d(z, g(x, y)))
     , g(e(x), e(y)) -> e(g(x, y))}
  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..