**************************************************
Claim
    { termination = Standard
    , system = (VAR x1)
               (RULES a b -> ,
                      a b -> b c ,
                      a c -> b a a a)
    , deadline = Just
                     (Time
                          -2040259933)
    }
is false because of
mirror image
  R' = { reverse(l) -> reverse(r) | (l -> r) in R }
    (VAR x1)
    (RULES b a -> ,
           b a -> c b ,
           c a -> a a a b)
      looping forward closure
      of length 51
      Derivation
          { lhs = [ b , a , a , a , a , a , a , a ]
          , rhs = [ a , a , a , a , a , a , b , a , a , a , a , a , a , a , b
                  , b , c , b , b , b , b , b
                  ]
          , hash_value = 643397472 , strict = True
          , steps = [ Step
                          { rule = 1 , position = 0 }
                    , Step
                          { rule = 1 , position = 1 }
                    , Step
                          { rule = 1 , position = 2 }
                    , Step
                          { rule = 1 , position = 3 }
                    , Step
                          { rule = 1 , position = 4 }
                    , Step
                          { rule = 0 , position = 5 }
                    , Step
                          { rule = 2 , position = 4 }
                    , Step
                          { rule = 2 , position = 3 }
                    , Step
                          { rule = 2 , position = 2 }
                    , Step
                          { rule = 0 , position = 8 }
                    , Step
                          { rule = 1 , position = 5 }
                    , Step
                          { rule = 0 , position = 6 }
                    , Step
                          { rule = 2 , position = 1 }
                    , Step
                          { rule = 1 , position = 4 }
                    , Step
                          { rule = 2 , position = 7 }
                    , Step
                          { rule = 2 , position = 0 }
                    , Step
                          { rule = 1 , position = 3 }
                    , Step
                          { rule = 1 , position = 7 }
                    , Step
                          { rule = 1 , position = 8 }
                    , Step
                          { rule = 0 , position = 9 }
                    , Step
                          { rule = 2 , position = 8 }
                    , Step
                          { rule = 1 , position = 4 }
                    , Step
                          { rule = 2 , position = 7 }
                    , Step
                          { rule = 2 , position = 6 }
                    , Step
                          { rule = 1 , position = 9 }
                    , Step
                          { rule = 1 , position = 5 }
                    , Step
                          { rule = 0 , position = 10 }
                    , Step
                          { rule = 1 , position = 6 }
                    , Step
                          { rule = 1 , position = 7 }
                    , Step
                          { rule = 0 , position = 10 }
                    , Step
                          { rule = 2 , position = 9 }
                    , Step
                          { rule = 0 , position = 8 }
                    , Step
                          { rule = 2 , position = 7 }
                    , Step
                          { rule = 2 , position = 6 }
                    , Step
                          { rule = 0 , position = 9 }
                    , Step
                          { rule = 2 , position = 5 }
                    , Step
                          { rule = 2 , position = 4 }
                    , Step
                          { rule = 1 , position = 10 }
                    , Step
                          { rule = 0 , position = 11 }
                    , Step
                          { rule = 1 , position = 12 }
                    , Step
                          { rule = 2 , position = 10 }
                    , Step
                          { rule = 1 , position = 7 }
                    , Step
                          { rule = 1 , position = 8 }
                    , Step
                          { rule = 1 , position = 9 }
                    , Step
                          { rule = 0 , position = 10 }
                    , Step
                          { rule = 2 , position = 9 }
                    , Step
                          { rule = 2 , position = 8 }
                    , Step
                          { rule = 2 , position = 7 }
                    , Step
                          { rule = 2 , position = 3 }
                    , Step
                          { rule = 0 , position = 15 }
                    , Step
                          { rule = 0 , position = 12 }
                    ]
          }
      this is closure number 4438
**************************************************
statistics:
total atomic proof attempts
    number = 7, total = 6
    maximal = [ Log
                    { what = rfc match bounds (classical)
                    , start = Time
                                  -2040265859
                    , end = Time
                                -2040265355
                    , duration = 5 , success = False
                    }
              ]
successful atomic proof attempts
    number = 0, total = 0
    maximal = [ ]
failed atomic proof attempts
    number = 7, total = 6
    maximal = [ Log
                    { what = rfc match bounds (classical)
                    , start = Time
                                  -2040265859
                    , end = Time
                                -2040265355
                    , 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/tmp9VHPHJ/matchbox-2007-06-01/minisat --timeout-command=/tmp/tmp9VHPHJ/matchbox-2007-06-01/timeout --tmpdir=tmp --timeout=60 /tmp/tmp.TCA7wvhtlH/a.srs
started        : Thu Jan 26 12:50:17 CET 2012
finished       : Thu Jan 26 12:50:24 CET 2012
run system     : Linux uc01-01 2.6.32-5-amd64 #1 SMP Mon Mar 7 21:35:22 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: 7 secs