************************************************** Claim { termination = Standard , system = (VAR x1) (RULES a -> , a a -> b a b c , c -> , c b -> a c) , deadline = Just (Time -2040246374) } is false because of mirror image R' = { reverse(l) -> reverse(r) | (l -> r) in R } (VAR x1) (RULES a -> , a a -> c b a b , c -> , b c -> c a) looping forward closure of length 38 Derivation { lhs = [ a , a , c , c , c , c ] , rhs = [ c , c , c , a , a , c , c , c , c , b , a , b , b , b ] , hash_value = -1114563895 , strict = True , steps = [ Step { rule = 1 , position = 0 } , Step { rule = 3 , position = 3 } , Step { rule = 2 , position = 3 } , Step { rule = 1 , position = 2 } , Step { rule = 2 , position = 2 } , Step { rule = 3 , position = 4 } , Step { rule = 2 , position = 4 } , Step { rule = 1 , position = 3 } , Step { rule = 3 , position = 2 } , Step { rule = 0 , position = 5 } , Step { rule = 3 , position = 5 } , Step { rule = 3 , position = 1 } , Step { rule = 3 , position = 4 } , Step { rule = 1 , position = 2 } , Step { rule = 3 , position = 5 } , Step { rule = 2 , position = 5 } , Step { rule = 1 , position = 4 } , Step { rule = 2 , position = 4 } , Step { rule = 1 , position = 7 } , Step { rule = 3 , position = 6 } , Step { rule = 2 , position = 6 } , Step { rule = 1 , position = 5 } , Step { rule = 3 , position = 4 } , Step { rule = 2 , position = 0 } , Step { rule = 0 , position = 9 } , Step { rule = 3 , position = 9 } , Step { rule = 3 , position = 8 } , Step { rule = 1 , position = 9 } , Step { rule = 0 , position = 11 } , Step { rule = 0 , position = 6 } , Step { rule = 3 , position = 6 } , Step { rule = 3 , position = 5 } , Step { rule = 1 , position = 6 } , Step { rule = 0 , position = 8 } , Step { rule = 3 , position = 8 } , Step { rule = 3 , position = 7 } , Step { rule = 1 , position = 8 } , Step { rule = 3 , position = 2 } ] } this is closure number 8126 ************************************************** statistics: total atomic proof attempts number = 8, total = 7 maximal = [ Log { what = rfc match bounds (classical) , start = Time -2040252330 , end = Time -2040251826 , duration = 5 , success = False } ] successful atomic proof attempts number = 1, total = 0 maximal = [ Log { what = simplex , start = Time -2040252331 , end = Time -2040252331 , duration = 0 , success = True } ] failed atomic proof attempts number = 7, total = 7 maximal = [ Log { what = rfc match bounds (classical) , start = Time -2040252330 , end = Time -2040251826 , 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/tmp2xV4B8/matchbox-2007-06-01/minisat --timeout-command=/tmp/tmp2xV4B8/matchbox-2007-06-01/timeout --tmpdir=tmp --timeout=60 /tmp/tmp.ShMBxfnNnj/a.srs started : Thu Jan 26 12:51:53 CET 2012 finished : Thu Jan 26 12:52:01 CET 2012 run system : Linux uc01-11 2.6.32-5-amd64 #1 SMP Wed Jan 12 03:40:32 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