Problem Secret 06 SRS 1-matchbox

Tool CaT

Execution TimeUnknown
Answer
YES(?,O(n^1))
InputSecret 06 SRS 1-matchbox

stdout:

YES(?,O(n^1))

Problem:
 a(a(b(b(x1)))) -> b(b(b(a(a(a(x1))))))
 a(x1) -> x1

Proof:
 Bounds Processor:
  bound: 0
  enrichment: match
  automaton:
   final states: {2}
   transitions:
    a0(1) -> 2*
    b0(1) -> 1*
    1 -> 2*
  problem:
   
  Qed

Tool IRC1

Execution TimeUnknown
Answer
YES(?,O(n^1))
InputSecret 06 SRS 1-matchbox

stdout:

YES(?,O(n^1))

Tool IRC2

Execution TimeUnknown
Answer
YES(?,O(n^1))
InputSecret 06 SRS 1-matchbox

stdout:

YES(?,O(n^1))

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           YES(?,O(n^1))
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a(a(b(b(x1)))) -> b(b(b(a(a(a(x1))))))
     , a(x1) -> x1}

Proof Output:    
  'Bounds with minimal-enrichment and initial automaton 'match'' proved the best result:
  
  Details:
  --------
    'Bounds with minimal-enrichment and initial automaton 'match'' succeeded with the following output:
     'Bounds with minimal-enrichment and initial automaton 'match''
     --------------------------------------------------------------
     Answer:           YES(?,O(n^1))
     Input Problem:    innermost runtime-complexity with respect to
       Rules:
         {  a(a(b(b(x1)))) -> b(b(b(a(a(a(x1))))))
          , a(x1) -> x1}
     
     Proof Output:    
       The problem is match-bounded by 0.
       The enriched problem is compatible with the following automaton:
       {  a_0(2) -> 1
        , b_0(2) -> 1
        , b_0(2) -> 2}

Tool RC1

Execution TimeUnknown
Answer
YES(?,O(n^1))
InputSecret 06 SRS 1-matchbox

stdout:

YES(?,O(n^1))

Tool RC2

Execution TimeUnknown
Answer
YES(?,O(n^1))
InputSecret 06 SRS 1-matchbox

stdout:

YES(?,O(n^1))

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           YES(?,O(n^1))
Input Problem:    runtime-complexity with respect to
  Rules:
    {  a(a(b(b(x1)))) -> b(b(b(a(a(a(x1))))))
     , a(x1) -> x1}

Proof Output:    
  'Bounds with minimal-enrichment and initial automaton 'match'' proved the best result:
  
  Details:
  --------
    'Bounds with minimal-enrichment and initial automaton 'match'' succeeded with the following output:
     'Bounds with minimal-enrichment and initial automaton 'match''
     --------------------------------------------------------------
     Answer:           YES(?,O(n^1))
     Input Problem:    runtime-complexity with respect to
       Rules:
         {  a(a(b(b(x1)))) -> b(b(b(a(a(a(x1))))))
          , a(x1) -> x1}
     
     Proof Output:    
       The problem is match-bounded by 0.
       The enriched problem is compatible with the following automaton:
       {  a_0(2) -> 1
        , b_0(2) -> 1
        , b_0(2) -> 2}