Problem Secret 05 TRS aprove3

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Secret 05 TRS aprove3

stdout:

MAYBE

Problem:
function(iszero(),0(),dummy,dummy2) -> true()
function(iszero(),s(x),dummy,dummy2) -> false()
function(p(),0(),dummy,dummy2) -> 0()
function(p(),s(0()),dummy,dummy2) -> 0()
function(p(),s(s(x)),dummy,dummy2) -> s(function(p(),s(x),x,x))
function(plus(),dummy,x,y) -> function(if(),function(iszero(),x,x,x),x,y)
function(if(),true(),x,y) -> y
function(if(),false(),x,y) -> function(plus(),function(third(),x,y,y),function(p(),x,x,y),s(y))
function(third(),x,y,z) -> z

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Secret 05 TRS aprove3

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Secret 05 TRS aprove3

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  function(iszero(), 0(), dummy, dummy2) -> true()
     , function(iszero(), s(x), dummy, dummy2) -> false()
     , function(p(), 0(), dummy, dummy2) -> 0()
     , function(p(), s(0()), dummy, dummy2) -> 0()
     , function(p(), s(s(x)), dummy, dummy2) ->
       s(function(p(), s(x), x, x))
     , function(plus(), dummy, x, y) ->
       function(if(), function(iszero(), x, x, x), x, y)
     , function(if(), true(), x, y) -> y
     , function(if(), false(), x, y) ->
       function(plus(),
                function(third(), x, y, y),
                function(p(), x, x, y),
                s(y))
     , function(third(), x, y, z) -> z}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Secret 05 TRS aprove3

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Secret 05 TRS aprove3

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  function(iszero(), 0(), dummy, dummy2) -> true()
     , function(iszero(), s(x), dummy, dummy2) -> false()
     , function(p(), 0(), dummy, dummy2) -> 0()
     , function(p(), s(0()), dummy, dummy2) -> 0()
     , function(p(), s(s(x)), dummy, dummy2) ->
       s(function(p(), s(x), x, x))
     , function(plus(), dummy, x, y) ->
       function(if(), function(iszero(), x, x, x), x, y)
     , function(if(), true(), x, y) -> y
     , function(if(), false(), x, y) ->
       function(plus(),
                function(third(), x, y, y),
                function(p(), x, x, y),
                s(y))
     , function(third(), x, y, z) -> z}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds