**************************************************
Claim
    { termination = Standard
    , system = (VAR x1)
               (RULES a -> ,
                      a -> b ,
                      a b -> b a c a ,
                      b -> ,
                      c c ->)
    , deadline = Just
                     (Time
                          -2040292328)
    }
is false because of
mirror image
  R' = { reverse(l) -> reverse(r) | (l -> r) in R }
    (VAR x1)
    (RULES a -> ,
           a -> b ,
           b a -> a c a b ,
           b -> ,
           c c ->)
      looping forward closure
      of length 21
      Derivation
          { lhs = [ a , a , a , a ] , rhs = [ a , a , a , a ]
          , hash_value = -849852655 , strict = True
          , steps = [ Step
                          { rule = 1 , position = 0 }
                    , Step
                          { rule = 2 , position = 0 }
                    , Step
                          { rule = 2 , position = 3 }
                    , Step
                          { rule = 1 , position = 2 }
                    , Step
                          { rule = 2 , position = 2 }
                    , Step
                          { rule = 1 , position = 2 }
                    , Step
                          { rule = 2 , position = 8 }
                    , Step
                          { rule = 1 , position = 7 }
                    , Step
                          { rule = 2 , position = 7 }
                    , Step
                          { rule = 1 , position = 7 }
                    , Step
                          { rule = 3 , position = 10 }
                    , Step
                          { rule = 3 , position = 7 }
                    , Step
                          { rule = 4 , position = 6 }
                    , Step
                          { rule = 3 , position = 9 }
                    , Step
                          { rule = 2 , position = 5 }
                    , Step
                          { rule = 1 , position = 7 }
                    , Step
                          { rule = 3 , position = 2 }
                    , Step
                          { rule = 4 , position = 1 }
                    , Step
                          { rule = 3 , position = 4 }
                    , Step
                          { rule = 3 , position = 4 }
                    , Step
                          { rule = 4 , position = 3 }
                    ]
          }
      this is closure number 8834
**************************************************
statistics:
total atomic proof attempts
    number = 10, total = 7
    maximal = [ Log
                    { what = rfc match bounds (classical)
                    , start = Time
                                  -2040298296
                    , end = Time
                                -2040297793
                    , duration = 5 , success = False
                    }
              ]
successful atomic proof attempts
    number = 3, total = 0
    maximal = [ Log
                    { what = simplex
                    , start = Time
                                  -2040298297
                    , end = Time
                                -2040298296
                    , duration = 0 , success = True
                    }
              , Log
                    { what = simplex
                    , start = Time
                                  -2040298298
                    , end = Time
                                -2040298298
                    , duration = 0 , success = True
                    }
              , Log
                    { what = simplex
                    , start = Time
                                  -2040298298
                    , end = Time
                                -2040298297
                    , duration = 0 , success = True
                    }
              ]
failed atomic proof attempts
    number = 7, total = 7
    maximal = [ Log
                    { what = rfc match bounds (classical)
                    , start = Time
                                  -2040298296
                    , end = Time
                                -2040297793
                    , duration = 5 , success = False
                    }
              ]
**************************************************
matchbox general information (including details on proof methods):
http://dfa.imn.htwk-leipzig.de/matchbox/

this matchbox implementation uses the SAT solver
MiniSat by Niklas Een and Niklas Sörensson
http://www.cs.chalmers.se/Cs/Research/FormalMethods/MiniSat/

matchbox process information
arguments      : --solver=/tmp/tmpzMGfFQ/matchbox-2007-06-01/minisat --timeout-command=/tmp/tmpzMGfFQ/matchbox-2007-06-01/timeout --tmpdir=tmp --timeout=60 /tmp/tmp.S7pv0ANd2T/a.srs
started        : Thu Jan 26 12:44:16 CET 2012
finished       : Thu Jan 26 12:44:24 CET 2012
run system     : Linux uc01-04 2.6.32-5-amd64 #1 SMP Tue Jun 14 09:42:28 UTC 2011 x86_64
release date   : Fri Jun 1 17:36:44 CEST 2007
build date     : Fri Jun 1 17:36:44 CEST 2007
build system   : Linux dfa 2.6.8-2-k7 #1 Tue Aug 16 14:00:15 UTC 2005 i686 GNU/Linux

used clock time: 8 secs