/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 5 rules on 4 letters mirror SRS with 5 rules on 4 letters DP SRS with 15 strict rules and 5 weak rules on 7 letters weights SRS with 3 strict rules and 5 weak rules on 7 letters EDG 2 sub-proofs 1 SRS with 1 strict rules and 5 weak rules on 5 letters Matrix { monotone = Weak, domain = Arctic, shape = Full, bits = 5, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 0 strict rules and 5 weak rules on 4 letters EDG 2 SRS with 2 strict rules and 5 weak rules on 6 letters Matrix { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 1 strict rules and 5 weak rules on 6 letters weights SRS with 0 strict rules and 5 weak rules on 4 letters EDG ************************************************** proof ************************************************** property Termination has value Just True for SRS [a, s] -> [s, a] {- Input 0 -} [b, a, b, s] -> [a, b, s, a] {- Input 1 -} [b, a, b, b] -> [c, s] {- Input 2 -} [c, s] -> [a, b, a, b] {- Input 3 -} [a, b, a, a] -> [b, a, b, a] {- Input 4 -} reason mirror property Termination has value Just True for SRS [s, a] -> [a, s] {- Mirror (Input 0) -} [s, b, a, b] -> [a, s, b, a] {- Mirror (Input 1) -} [b, b, a, b] -> [s, c] {- Mirror (Input 2) -} [s, c] -> [b, a, b, a] {- Mirror (Input 3) -} [a, a, b, a] -> [a, b, a, b] {- Mirror (Input 4) -} reason DP property Termination has value Just True for SRS [s, a] ->= [a, s] {- DP Nontop (Mirror (Input 0)) -} [s, b, a, b] ->= [a, s, b, a] {- DP Nontop (Mirror (Input 1)) -} [b, b, a, b] ->= [s, c] {- DP Nontop (Mirror (Input 2)) -} [s, c] ->= [b, a, b, a] {- DP Nontop (Mirror (Input 3)) -} [a, a, b, a] ->= [a, b, a, b] {- DP Nontop (Mirror (Input 4)) -} [a#, a, b, a] |-> [a#, b] {- DP (Top 2) (Mirror (Input 4)) -} [a#, a, b, a] |-> [a#, b, a, b] {- DP (Top 0) (Mirror (Input 4)) -} [a#, a, b, a] |-> [b#] {- DP (Top 3) (Mirror (Input 4)) -} [a#, a, b, a] |-> [b#, a, b] {- DP (Top 1) (Mirror (Input 4)) -} [s#, a] |-> [a#, s] {- DP (Top 0) (Mirror (Input 0)) -} [s#, a] |-> [s#] {- DP (Top 1) (Mirror (Input 0)) -} [s#, b, a, b] |-> [a#] {- DP (Top 3) (Mirror (Input 1)) -} [s#, b, a, b] |-> [a#, s, b, a] {- DP (Top 0) (Mirror (Input 1)) -} [s#, b, a, b] |-> [s#, b, a] {- DP (Top 1) (Mirror (Input 1)) -} [s#, b, a, b] |-> [b#, a] {- DP (Top 2) (Mirror (Input 1)) -} [s#, c] |-> [a#] {- DP (Top 3) (Mirror (Input 3)) -} [s#, c] |-> [a#, b, a] {- DP (Top 1) (Mirror (Input 3)) -} [s#, c] |-> [b#, a] {- DP (Top 2) (Mirror (Input 3)) -} [s#, c] |-> [b#, a, b, a] {- DP (Top 0) (Mirror (Input 3)) -} [b#, b, a, b] |-> [s#, c] {- DP (Top 0) (Mirror (Input 2)) -} reason (s, 3/2) (a, 3/2) (b, 3/2) (c, 9/2) (b#, 1/2) (s#, 1/2) property Termination has value Just True for SRS [s, a] ->= [a, s] {- DP Nontop (Mirror (Input 0)) -} [s, b, a, b] ->= [a, s, b, a] {- DP Nontop (Mirror (Input 1)) -} [b, b, a, b] ->= [s, c] {- DP Nontop (Mirror (Input 2)) -} [s, c] ->= [b, a, b, a] {- DP Nontop (Mirror (Input 3)) -} [a, a, b, a] ->= [a, b, a, b] {- DP Nontop (Mirror (Input 4)) -} [a#, a, b, a] |-> [a#, b, a, b] {- DP (Top 0) (Mirror (Input 4)) -} [s#, c] |-> [b#, a, b, a] {- DP (Top 0) (Mirror (Input 3)) -} [b#, b, a, b] |-> [s#, c] {- DP (Top 0) (Mirror (Input 2)) -} reason EDG property Termination has value Just True for SRS [a#, a, b, a] |-> [a#, b, a, b] {- DP (Top 0) (Mirror (Input 4)) -} [s, a] ->= [a, s] {- DP Nontop (Mirror (Input 0)) -} [s, b, a, b] ->= [a, s, b, a] {- DP Nontop (Mirror (Input 1)) -} [b, b, a, b] ->= [s, c] {- DP Nontop (Mirror (Input 2)) -} [s, c] ->= [b, a, b, a] {- DP Nontop (Mirror (Input 3)) -} [a, a, b, a] ->= [a, b, a, b] {- DP Nontop (Mirror (Input 4)) -} reason ( s , Wk / 3A - \ \ - 0A / ) ( a , Wk / 0A 6A \ \ - 0A / ) ( b , Wk / - 3A \ \ - 0A / ) ( c , Wk / - 0A \ \ - 0A / ) ( a# , Wk / 23A 28A \ \ - 0A / ) property Termination has value Just True for SRS [s, a] ->= [a, s] {- DP Nontop (Mirror (Input 0)) -} [s, b, a, b] ->= [a, s, b, a] {- DP Nontop (Mirror (Input 1)) -} [b, b, a, b] ->= [s, c] {- DP Nontop (Mirror (Input 2)) -} [s, c] ->= [b, a, b, a] {- DP Nontop (Mirror (Input 3)) -} [a, a, b, a] ->= [a, b, a, b] {- DP Nontop (Mirror (Input 4)) -} reason EDG property Termination has value Just True for SRS [s#, c] |-> [b#, a, b, a] {- DP (Top 0) (Mirror (Input 3)) -} [b#, b, a, b] |-> [s#, c] {- DP (Top 0) (Mirror (Input 2)) -} [s, a] ->= [a, s] {- DP Nontop (Mirror (Input 0)) -} [s, b, a, b] ->= [a, s, b, a] {- DP Nontop (Mirror (Input 1)) -} [b, b, a, b] ->= [s, c] {- DP Nontop (Mirror (Input 2)) -} [s, c] ->= [b, a, b, a] {- DP Nontop (Mirror (Input 3)) -} [a, a, b, a] ->= [a, b, a, b] {- DP Nontop (Mirror (Input 4)) -} reason ( s , Wk / 6A 8A \ \ 4A 6A / ) ( a , Wk / 0A 2A \ \ 0A 2A / ) ( b , Wk / 2A 4A \ \ 0A 2A / ) ( c , Wk / 0A 2A \ \ 0A 2A / ) ( b# , Wk / 14A 14A \ \ 14A 14A / ) ( s# , Wk / 18A 18A \ \ 18A 18A / ) property Termination has value Just True for SRS [s#, c] |-> [b#, a, b, a] {- DP (Top 0) (Mirror (Input 3)) -} [s, a] ->= [a, s] {- DP Nontop (Mirror (Input 0)) -} [s, b, a, b] ->= [a, s, b, a] {- DP Nontop (Mirror (Input 1)) -} [b, b, a, b] ->= [s, c] {- DP Nontop (Mirror (Input 2)) -} [s, c] ->= [b, a, b, a] {- DP Nontop (Mirror (Input 3)) -} [a, a, b, a] ->= [a, b, a, b] {- DP Nontop (Mirror (Input 4)) -} reason (s#, 1/1) property Termination has value Just True for SRS [s, a] ->= [a, s] {- DP Nontop (Mirror (Input 0)) -} [s, b, a, b] ->= [a, s, b, a] {- DP Nontop (Mirror (Input 1)) -} [b, b, a, b] ->= [s, c] {- DP Nontop (Mirror (Input 2)) -} [s, c] ->= [b, a, b, a] {- DP Nontop (Mirror (Input 3)) -} [a, a, b, a] ->= [a, b, a, b] {- DP Nontop (Mirror (Input 4)) -} reason EDG ************************************************** skeleton: \Mirror(5,4)\Deepee(15/5,7)\Weight(3/5,7)\EDG[(1/5,5)\Matrix{\Arctic}{2}(0/5,4)\EDG[],(2/5,6)\Matrix{\Arctic}{2}(1/5,6)\Weight(0/5,4)\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)])