/export/starexec/sandbox/solver/bin/starexec_run_tc20-std.sh /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES ************************************************** summary ************************************************** SRS with 9 rules on 6 letters weights SRS with 8 rules on 6 letters mirror SRS with 8 rules on 6 letters DP SRS with 10 strict rules and 8 weak rules on 10 letters weights SRS with 4 strict rules and 8 weak rules on 10 letters EDG 4 sub-proofs 1 SRS with 1 strict rules and 8 weak rules on 7 letters mirror SRS with 1 strict rules and 8 weak rules on 7 letters Matrix { monotone = Strict, domain = Natural, shape = Full, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 1 strict rules and 7 weak rules on 7 letters mirror SRS with 1 strict rules and 7 weak rules on 7 letters EDG SRS with 1 strict rules and 7 weak rules on 7 letters Matrix { monotone = Weak, domain = Arctic, shape = Full, bits = 5, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 0 strict rules and 7 weak rules on 6 letters EDG 2 SRS with 1 strict rules and 8 weak rules on 7 letters mirror SRS with 1 strict rules and 8 weak rules on 7 letters Matrix { monotone = Strict, domain = Natural, shape = Full, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 1 strict rules and 7 weak rules on 7 letters mirror SRS with 1 strict rules and 7 weak rules on 7 letters EDG SRS with 1 strict rules and 7 weak rules on 7 letters Matrix { monotone = Weak, domain = Arctic, shape = Full, bits = 5, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 0 strict rules and 7 weak rules on 6 letters EDG 3 SRS with 1 strict rules and 8 weak rules on 7 letters mirror SRS with 1 strict rules and 8 weak rules on 7 letters Matrix { monotone = Strict, domain = Natural, shape = Full, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 1 strict rules and 7 weak rules on 7 letters mirror SRS with 1 strict rules and 7 weak rules on 7 letters EDG SRS with 1 strict rules and 7 weak rules on 7 letters Matrix { monotone = Weak, domain = Arctic, shape = Full, bits = 5, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 0 strict rules and 7 weak rules on 6 letters EDG 4 SRS with 1 strict rules and 8 weak rules on 7 letters mirror SRS with 1 strict rules and 8 weak rules on 7 letters Matrix { monotone = Strict, domain = Natural, shape = Full, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 1 strict rules and 7 weak rules on 7 letters mirror SRS with 1 strict rules and 7 weak rules on 7 letters EDG SRS with 1 strict rules and 7 weak rules on 7 letters Matrix { monotone = Weak, domain = Arctic, shape = Full, bits = 5, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 0 strict rules and 7 weak rules on 6 letters EDG ************************************************** proof ************************************************** property Termination has value Just True for SRS [t, f] -> [t, c, n] {- Input 0 -} [n, f] -> [f, n] {- Input 1 -} [o, f] -> [f, o] {- Input 2 -} [n, s] -> [f, s] {- Input 3 -} [o, s] -> [f, s] {- Input 4 -} [c, f] -> [f, c] {- Input 5 -} [c, n] -> [n, c] {- Input 6 -} [c, o] -> [o, c] {- Input 7 -} [c, o] -> [o] {- Input 8 -} reason (o, 1/1) property Termination has value Just True for SRS [t, f] -> [t, c, n] {- Input 0 -} [n, f] -> [f, n] {- Input 1 -} [o, f] -> [f, o] {- Input 2 -} [n, s] -> [f, s] {- Input 3 -} [c, f] -> [f, c] {- Input 5 -} [c, n] -> [n, c] {- Input 6 -} [c, o] -> [o, c] {- Input 7 -} [c, o] -> [o] {- Input 8 -} reason mirror property Termination has value Just True for SRS [f, t] -> [n, c, t] {- Mirror (Input 0) -} [f, n] -> [n, f] {- Mirror (Input 1) -} [f, o] -> [o, f] {- Mirror (Input 2) -} [s, n] -> [s, f] {- Mirror (Input 3) -} [f, c] -> [c, f] {- Mirror (Input 5) -} [n, c] -> [c, n] {- Mirror (Input 6) -} [o, c] -> [c, o] {- Mirror (Input 7) -} [o, c] -> [o] {- Mirror (Input 8) -} reason DP property Termination has value Just True for SRS [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [f, o] ->= [o, f] {- DP Nontop (Mirror (Input 2)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} [f#, t] |-> [n#, c, t] {- DP (Top 0) (Mirror (Input 0)) -} [f#, c] |-> [f#] {- DP (Top 1) (Mirror (Input 5)) -} [f#, n] |-> [f#] {- DP (Top 1) (Mirror (Input 1)) -} [f#, n] |-> [n#, f] {- DP (Top 0) (Mirror (Input 1)) -} [f#, o] |-> [f#] {- DP (Top 1) (Mirror (Input 2)) -} [f#, o] |-> [o#, f] {- DP (Top 0) (Mirror (Input 2)) -} [n#, c] |-> [n#] {- DP (Top 1) (Mirror (Input 6)) -} [o#, c] |-> [o#] {- Many [ DP (Top 0) (Mirror (Input 8)) , DP (Top 1) (Mirror (Input 7)) ] -} [s#, n] |-> [f#] {- DP (Top 1) (Mirror (Input 3)) -} [s#, n] |-> [s#, f] {- DP (Top 0) (Mirror (Input 3)) -} reason (f, 1/1) (n, 1/1) (o, 2/1) (f#, 1/1) (s#, 1/1) property Termination has value Just True for SRS [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [f, o] ->= [o, f] {- DP Nontop (Mirror (Input 2)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} [f#, c] |-> [f#] {- DP (Top 1) (Mirror (Input 5)) -} [n#, c] |-> [n#] {- DP (Top 1) (Mirror (Input 6)) -} [o#, c] |-> [o#] {- Many [ DP (Top 0) (Mirror (Input 8)) , DP (Top 1) (Mirror (Input 7)) ] -} [s#, n] |-> [s#, f] {- DP (Top 0) (Mirror (Input 3)) -} reason EDG property Termination has value Just True for SRS [f#, c] |-> [f#] {- DP (Top 1) (Mirror (Input 5)) -} [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [f, o] ->= [o, f] {- DP Nontop (Mirror (Input 2)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason mirror property Termination has value Just True for SRS [c, f#] ->| [f#] {- Mirror (DP (Top 1) (Mirror (Input 5))) -} [t, f] ->= [t, c, n] {- Mirror (DP Nontop (Mirror (Input 0))) -} [n, f] ->= [f, n] {- Mirror (DP Nontop (Mirror (Input 1))) -} [o, f] ->= [f, o] {- Mirror (DP Nontop (Mirror (Input 2))) -} [n, s] ->= [f, s] {- Mirror (DP Nontop (Mirror (Input 3))) -} [c, f] ->= [f, c] {- Mirror (DP Nontop (Mirror (Input 5))) -} [c, n] ->= [n, c] {- Mirror (DP Nontop (Mirror (Input 6))) -} [c, o] ->= [o, c] {- Mirror (DP Nontop (Mirror (Input 7))) -} [c, o] ->= [o] {- Mirror (DP Nontop (Mirror (Input 8))) -} reason ( f , St / 2 1 \ \ 0 1 / ) ( t , St / 2 0 \ \ 0 1 / ) ( n , St / 2 1 \ \ 0 1 / ) ( c , St / 1 0 \ \ 0 1 / ) ( o , St / 2 0 \ \ 0 1 / ) ( s , St / 1 1 \ \ 0 1 / ) ( f# , St / 1 0 \ \ 0 1 / ) property Termination has value Just True for SRS [c, f#] ->| [f#] {- Mirror (DP (Top 1) (Mirror (Input 5))) -} [t, f] ->= [t, c, n] {- Mirror (DP Nontop (Mirror (Input 0))) -} [n, f] ->= [f, n] {- Mirror (DP Nontop (Mirror (Input 1))) -} [n, s] ->= [f, s] {- Mirror (DP Nontop (Mirror (Input 3))) -} [c, f] ->= [f, c] {- Mirror (DP Nontop (Mirror (Input 5))) -} [c, n] ->= [n, c] {- Mirror (DP Nontop (Mirror (Input 6))) -} [c, o] ->= [o, c] {- Mirror (DP Nontop (Mirror (Input 7))) -} [c, o] ->= [o] {- Mirror (DP Nontop (Mirror (Input 8))) -} reason mirror property Termination has value Just True for SRS [f#, c] |-> [f#] {- DP (Top 1) (Mirror (Input 5)) -} [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason EDG property Termination has value Just True for SRS [f#, c] |-> [f#] {- DP (Top 1) (Mirror (Input 5)) -} [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason ( f , Wk / 18A 22A \ \ - 0A / ) ( t , Wk / - 12A \ \ - 0A / ) ( n , Wk / 0A 10A \ \ - 0A / ) ( c , Wk / 2A 12A \ \ - 0A / ) ( o , Wk / 0A 0A \ \ - 0A / ) ( s , Wk / - 1A \ \ - 0A / ) ( f# , Wk / 9A 20A \ \ - 0A / ) property Termination has value Just True for SRS [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason EDG property Termination has value Just True for SRS [n#, c] |-> [n#] {- DP (Top 1) (Mirror (Input 6)) -} [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [f, o] ->= [o, f] {- DP Nontop (Mirror (Input 2)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason mirror property Termination has value Just True for SRS [c, n#] ->| [n#] {- Mirror (DP (Top 1) (Mirror (Input 6))) -} [t, f] ->= [t, c, n] {- Mirror (DP Nontop (Mirror (Input 0))) -} [n, f] ->= [f, n] {- Mirror (DP Nontop (Mirror (Input 1))) -} [o, f] ->= [f, o] {- Mirror (DP Nontop (Mirror (Input 2))) -} [n, s] ->= [f, s] {- Mirror (DP Nontop (Mirror (Input 3))) -} [c, f] ->= [f, c] {- Mirror (DP Nontop (Mirror (Input 5))) -} [c, n] ->= [n, c] {- Mirror (DP Nontop (Mirror (Input 6))) -} [c, o] ->= [o, c] {- Mirror (DP Nontop (Mirror (Input 7))) -} [c, o] ->= [o] {- Mirror (DP Nontop (Mirror (Input 8))) -} reason ( f , St / 2 1 \ \ 0 1 / ) ( t , St / 2 0 \ \ 0 1 / ) ( n , St / 2 1 \ \ 0 1 / ) ( c , St / 1 0 \ \ 0 1 / ) ( o , St / 2 0 \ \ 0 1 / ) ( s , St / 1 1 \ \ 0 1 / ) ( n# , St / 1 0 \ \ 0 1 / ) property Termination has value Just True for SRS [c, n#] ->| [n#] {- Mirror (DP (Top 1) (Mirror (Input 6))) -} [t, f] ->= [t, c, n] {- Mirror (DP Nontop (Mirror (Input 0))) -} [n, f] ->= [f, n] {- Mirror (DP Nontop (Mirror (Input 1))) -} [n, s] ->= [f, s] {- Mirror (DP Nontop (Mirror (Input 3))) -} [c, f] ->= [f, c] {- Mirror (DP Nontop (Mirror (Input 5))) -} [c, n] ->= [n, c] {- Mirror (DP Nontop (Mirror (Input 6))) -} [c, o] ->= [o, c] {- Mirror (DP Nontop (Mirror (Input 7))) -} [c, o] ->= [o] {- Mirror (DP Nontop (Mirror (Input 8))) -} reason mirror property Termination has value Just True for SRS [n#, c] |-> [n#] {- DP (Top 1) (Mirror (Input 6)) -} [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason EDG property Termination has value Just True for SRS [n#, c] |-> [n#] {- DP (Top 1) (Mirror (Input 6)) -} [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason ( f , Wk / 18A 22A \ \ - 0A / ) ( t , Wk / - 12A \ \ - 0A / ) ( n , Wk / 0A 10A \ \ - 0A / ) ( c , Wk / 2A 12A \ \ - 0A / ) ( o , Wk / 0A 0A \ \ - 0A / ) ( s , Wk / - 1A \ \ - 0A / ) ( n# , Wk / 9A 20A \ \ - 0A / ) property Termination has value Just True for SRS [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason EDG property Termination has value Just True for SRS [o#, c] |-> [o#] {- Many [ DP (Top 0) (Mirror (Input 8)) , DP (Top 1) (Mirror (Input 7)) ] -} [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [f, o] ->= [o, f] {- DP Nontop (Mirror (Input 2)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason mirror property Termination has value Just True for SRS [c, o#] ->| [o#] {- Mirror (Many [ DP (Top 0) (Mirror (Input 8)) , DP (Top 1) (Mirror (Input 7)) ]) -} [t, f] ->= [t, c, n] {- Mirror (DP Nontop (Mirror (Input 0))) -} [n, f] ->= [f, n] {- Mirror (DP Nontop (Mirror (Input 1))) -} [o, f] ->= [f, o] {- Mirror (DP Nontop (Mirror (Input 2))) -} [n, s] ->= [f, s] {- Mirror (DP Nontop (Mirror (Input 3))) -} [c, f] ->= [f, c] {- Mirror (DP Nontop (Mirror (Input 5))) -} [c, n] ->= [n, c] {- Mirror (DP Nontop (Mirror (Input 6))) -} [c, o] ->= [o, c] {- Mirror (DP Nontop (Mirror (Input 7))) -} [c, o] ->= [o] {- Mirror (DP Nontop (Mirror (Input 8))) -} reason ( f , St / 2 1 \ \ 0 1 / ) ( t , St / 2 0 \ \ 0 1 / ) ( n , St / 2 1 \ \ 0 1 / ) ( c , St / 1 0 \ \ 0 1 / ) ( o , St / 2 0 \ \ 0 1 / ) ( s , St / 1 1 \ \ 0 1 / ) ( o# , St / 1 0 \ \ 0 1 / ) property Termination has value Just True for SRS [c, o#] ->| [o#] {- Mirror (Many [ DP (Top 0) (Mirror (Input 8)) , DP (Top 1) (Mirror (Input 7)) ]) -} [t, f] ->= [t, c, n] {- Mirror (DP Nontop (Mirror (Input 0))) -} [n, f] ->= [f, n] {- Mirror (DP Nontop (Mirror (Input 1))) -} [n, s] ->= [f, s] {- Mirror (DP Nontop (Mirror (Input 3))) -} [c, f] ->= [f, c] {- Mirror (DP Nontop (Mirror (Input 5))) -} [c, n] ->= [n, c] {- Mirror (DP Nontop (Mirror (Input 6))) -} [c, o] ->= [o, c] {- Mirror (DP Nontop (Mirror (Input 7))) -} [c, o] ->= [o] {- Mirror (DP Nontop (Mirror (Input 8))) -} reason mirror property Termination has value Just True for SRS [o#, c] |-> [o#] {- Many [ DP (Top 0) (Mirror (Input 8)) , DP (Top 1) (Mirror (Input 7)) ] -} [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason EDG property Termination has value Just True for SRS [o#, c] |-> [o#] {- Many [ DP (Top 0) (Mirror (Input 8)) , DP (Top 1) (Mirror (Input 7)) ] -} [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason ( f , Wk / 18A 22A \ \ - 0A / ) ( t , Wk / - 12A \ \ - 0A / ) ( n , Wk / 0A 10A \ \ - 0A / ) ( c , Wk / 2A 12A \ \ - 0A / ) ( o , Wk / 0A 0A \ \ - 0A / ) ( s , Wk / - 1A \ \ - 0A / ) ( o# , Wk / 9A 20A \ \ - 0A / ) property Termination has value Just True for SRS [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason EDG property Termination has value Just True for SRS [s#, n] |-> [s#, f] {- DP (Top 0) (Mirror (Input 3)) -} [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [f, o] ->= [o, f] {- DP Nontop (Mirror (Input 2)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason mirror property Termination has value Just True for SRS [n, s#] ->| [f, s#] {- Mirror (DP (Top 0) (Mirror (Input 3))) -} [t, f] ->= [t, c, n] {- Mirror (DP Nontop (Mirror (Input 0))) -} [n, f] ->= [f, n] {- Mirror (DP Nontop (Mirror (Input 1))) -} [o, f] ->= [f, o] {- Mirror (DP Nontop (Mirror (Input 2))) -} [n, s] ->= [f, s] {- Mirror (DP Nontop (Mirror (Input 3))) -} [c, f] ->= [f, c] {- Mirror (DP Nontop (Mirror (Input 5))) -} [c, n] ->= [n, c] {- Mirror (DP Nontop (Mirror (Input 6))) -} [c, o] ->= [o, c] {- Mirror (DP Nontop (Mirror (Input 7))) -} [c, o] ->= [o] {- Mirror (DP Nontop (Mirror (Input 8))) -} reason ( f , St / 1 1 \ \ 0 1 / ) ( t , St / 1 0 \ \ 0 1 / ) ( n , St / 1 1 \ \ 0 1 / ) ( c , St / 1 0 \ \ 0 1 / ) ( o , St / 2 1 \ \ 0 1 / ) ( s , St / 1 1 \ \ 0 1 / ) ( s# , St / 1 0 \ \ 0 1 / ) property Termination has value Just True for SRS [n, s#] ->| [f, s#] {- Mirror (DP (Top 0) (Mirror (Input 3))) -} [t, f] ->= [t, c, n] {- Mirror (DP Nontop (Mirror (Input 0))) -} [n, f] ->= [f, n] {- Mirror (DP Nontop (Mirror (Input 1))) -} [n, s] ->= [f, s] {- Mirror (DP Nontop (Mirror (Input 3))) -} [c, f] ->= [f, c] {- Mirror (DP Nontop (Mirror (Input 5))) -} [c, n] ->= [n, c] {- Mirror (DP Nontop (Mirror (Input 6))) -} [c, o] ->= [o, c] {- Mirror (DP Nontop (Mirror (Input 7))) -} [c, o] ->= [o] {- Mirror (DP Nontop (Mirror (Input 8))) -} reason mirror property Termination has value Just True for SRS [s#, n] |-> [s#, f] {- DP (Top 0) (Mirror (Input 3)) -} [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason EDG property Termination has value Just True for SRS [s#, n] |-> [s#, f] {- DP (Top 0) (Mirror (Input 3)) -} [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason ( f , Wk / 2A 5A \ \ - 0A / ) ( t , Wk / - 17A \ \ - 0A / ) ( n , Wk / 5A 10A \ \ - 0A / ) ( c , Wk / - 11A \ \ - 0A / ) ( o , Wk / - 20A \ \ - 0A / ) ( s , Wk / - 0A \ \ - 0A / ) ( s# , Wk / 5A 12A \ \ - 0A / ) property Termination has value Just True for SRS [f, t] ->= [n, c, t] {- DP Nontop (Mirror (Input 0)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 1)) -} [s, n] ->= [s, f] {- DP Nontop (Mirror (Input 3)) -} [f, c] ->= [c, f] {- DP Nontop (Mirror (Input 5)) -} [n, c] ->= [c, n] {- DP Nontop (Mirror (Input 6)) -} [o, c] ->= [c, o] {- DP Nontop (Mirror (Input 7)) -} [o, c] ->= [o] {- DP Nontop (Mirror (Input 8)) -} reason EDG ************************************************** skeleton: (9,6)\Weight\Mirror(8,6)\Deepee(10/8,10)\Weight(4/8,10)\EDG[\Mirror(1/8,7)\Matrix{\Natural}{2}(1/7,7)\Mirror\EDG(1/7,7)\Matrix{\Arctic}{2}(0/7,6)\EDG[],\Mirror(1/8,7)\Matrix{\Natural}{2}(1/7,7)\Mirror\EDG(1/7,7)\Matrix{\Arctic}{2}(0/7,6)\EDG[],\Mirror(1/8,7)\Matrix{\Natural}{2}(1/7,7)\Mirror\EDG(1/7,7)\Matrix{\Arctic}{2}(0/7,6)\EDG[],\Mirror(1/8,7)\Matrix{\Natural}{2}(1/7,7)\Mirror\EDG(1/7,7)\Matrix{\Arctic}{2}(0/7,6)\EDG[]] ************************************************** let {} in let {trac = False;done = Worker No_Strict_Rules;mo = Pre (Or_Else Count (IfSizeLeq 10000 GLPK Fail));wop = Or_Else (Worker (Weight {modus = mo})) Pass;weighted = \ m -> And_Then m wop;tiling = \ m w -> weighted (And_Then (Worker (Tiling {method = m,width = w,unlabel = False})) (Worker Remap));when_small = \ m -> And_Then (Worker (SizeAtmost 1000)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;solver = Minisatapi;qpi = \ dim bits -> weighted (when_small (Worker (QPI {tracing = trac,dim = dim,bits = bits,solver = solver})));matrix = \ dom dim bits -> weighted (when_small (Worker (Matrix {monotone = Weak,domain = dom,dim = dim,bits = bits,tracing = trac,solver = solver})));kbo = \ b -> weighted (when_small (Worker (KBO {bits = b,solver = solver})));mb = Worker (Matchbound {method = RFC,max_size = 100000});remove = First_Of ([ Worker (Weight {modus = mo})] <> ([ Seq [ qpi 2 4, qpi 3 4, qpi 4 4], Seq [ qpi 5 4, qpi 6 3, qpi 7 3]] <> ([ Seq [ matrix Arctic 2 5, matrix Arctic 3 4, matrix Arctic 4 3], Seq [ matrix Natural 2 5, matrix Natural 3 4, matrix Natural 4 3]] <> [ kbo 1, And_Then (Worker Mirror) (And_Then (kbo 1) (Worker Mirror))])));dp = As_Transformer (Apply (And_Then (Worker (DP {tracing = True})) (Worker Remap)) (Apply wop (Branch (Worker (EDG {tracing = True})) remove)));noh = [ Worker (Enumerate {closure = Forward}), Worker (Enumerate {closure = Backward})];yeah = Tree_Search_Preemptive 0 done ([ Worker (Weight {modus = mo}), mb, And_Then (Worker Mirror) mb, dp, And_Then (Worker Mirror) dp, tiling Forward 2, And_Then (Worker Mirror) (tiling Forward 2)] <> [ Worker (Unlabel {verbose = True})])} in Apply (Worker Remap) (Seq [ Worker KKST01, First_Of ([ yeah] <> noh)])