************************************************** Claim { termination = Standard , system = (VAR x1) (RULES a b -> , a c -> c b c b , b c -> a a) , deadline = Just (Time -2040254164) } is false because of mirror image R' = { reverse(l) -> reverse(r) | (l -> r) in R } (VAR x1) (RULES b a -> , c a -> b c b c , c b -> a a) looping forward closure of length 24 Derivation { lhs = [ c , a , a , a , a , a ] , rhs = [ b , b , b , c , a , a , a , a , a , c ] , hash_value = -392590650 , strict = True , steps = [ Step { rule = 1 , position = 0 } , Step { rule = 1 , position = 3 } , Step { rule = 1 , position = 6 } , Step { rule = 2 , position = 4 } , Step { rule = 2 , position = 7 } , Step { rule = 0 , position = 6 } , Step { rule = 0 , position = 3 } , Step { rule = 0 , position = 2 } , Step { rule = 1 , position = 3 } , Step { rule = 2 , position = 4 } , Step { rule = 1 , position = 1 } , Step { rule = 2 , position = 4 } , Step { rule = 0 , position = 3 } , Step { rule = 1 , position = 2 } , Step { rule = 1 , position = 5 } , Step { rule = 1 , position = 8 } , Step { rule = 2 , position = 6 } , Step { rule = 0 , position = 5 } , Step { rule = 1 , position = 10 } , Step { rule = 0 , position = 4 } , Step { rule = 2 , position = 9 } , Step { rule = 2 , position = 7 } , Step { rule = 2 , position = 5 } , Step { rule = 0 , position = 4 } ] } this is closure number 1932 ************************************************** statistics: total atomic proof attempts number = 8, total = 5 maximal = [ Log { what = rfc match bounds (classical) , start = Time -2040260114 , end = Time -2040259610 , duration = 5 , success = False } ] successful atomic proof attempts number = 1, total = 0 maximal = [ Log { what = simplex , start = Time -2040260114 , end = Time -2040260114 , duration = 0 , success = True } ] failed atomic proof attempts number = 7, total = 5 maximal = [ Log { what = rfc match bounds (classical) , start = Time -2040260114 , end = Time -2040259610 , 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/tmp8VGjYk/matchbox-2007-06-01/minisat --timeout-command=/tmp/tmp8VGjYk/matchbox-2007-06-01/timeout --tmpdir=tmp --timeout=60 /tmp/tmp.wcD1XmiiwC/a.srs started : Thu Jan 26 12:50:50 CET 2012 finished : Thu Jan 26 12:50:56 CET 2012 run system : Linux uc01-10 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: 6 secs