/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 6 rules on 5 letters mirror SRS with 6 rules on 5 letters DP SRS with 10 strict rules and 6 weak rules on 9 letters weights SRS with 4 strict rules and 6 weak rules on 7 letters EDG 2 sub-proofs 1 SRS with 2 strict rules and 6 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 6 weak rules on 6 letters EDG SRS with 1 strict rules and 6 weak rules on 6 letters Matrix { monotone = Weak, domain = Natural, shape = Full, bits = 5, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 0 strict rules and 6 weak rules on 5 letters EDG 2 SRS with 2 strict rules and 6 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 6 weak rules on 6 letters EDG SRS with 1 strict rules and 6 weak rules on 6 letters Matrix { monotone = Weak, domain = Arctic, shape = Full, bits = 5, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 0 strict rules and 6 weak rules on 5 letters EDG ************************************************** proof ************************************************** property Termination has value Just True for SRS [f] -> [n, c, n, a] {- Input 0 -} [c, f] -> [f, n, a, c] {- Input 1 -} [n, a] -> [c] {- Input 2 -} [c, c] -> [c] {- Input 3 -} [n, s] -> [f, s, s] {- Input 4 -} [n, f] -> [f, n] {- Input 5 -} reason mirror property Termination has value Just True for SRS [f] -> [a, n, c, n] {- Mirror (Input 0) -} [f, c] -> [c, a, n, f] {- Mirror (Input 1) -} [a, n] -> [c] {- Mirror (Input 2) -} [c, c] -> [c] {- Mirror (Input 3) -} [s, n] -> [s, s, f] {- Mirror (Input 4) -} [f, n] -> [n, f] {- Mirror (Input 5) -} reason DP property Termination has value Just True for SRS [f] ->= [a, n, c, n] {- DP Nontop (Mirror (Input 0)) -} [f, c] ->= [c, a, n, f] {- DP Nontop (Mirror (Input 1)) -} [a, n] ->= [c] {- DP Nontop (Mirror (Input 2)) -} [c, c] ->= [c] {- DP Nontop (Mirror (Input 3)) -} [s, n] ->= [s, s, f] {- DP Nontop (Mirror (Input 4)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 5)) -} [f#] |-> [c#, n] {- DP (Top 2) (Mirror (Input 0)) -} [f#] |-> [a#, n, c, n] {- DP (Top 0) (Mirror (Input 0)) -} [f#, n] |-> [f#] {- DP (Top 1) (Mirror (Input 5)) -} [f#, c] |-> [f#] {- DP (Top 3) (Mirror (Input 1)) -} [f#, c] |-> [c#, a, n, f] {- DP (Top 0) (Mirror (Input 1)) -} [f#, c] |-> [a#, n, f] {- DP (Top 1) (Mirror (Input 1)) -} [a#, n] |-> [c#] {- DP (Top 0) (Mirror (Input 2)) -} [s#, n] |-> [f#] {- DP (Top 2) (Mirror (Input 4)) -} [s#, n] |-> [s#, f] {- DP (Top 1) (Mirror (Input 4)) -} [s#, n] |-> [s#, s, f] {- DP (Top 0) (Mirror (Input 4)) -} reason (f#, 2/1) (a#, 1/1) (s#, 3/1) property Termination has value Just True for SRS [f] ->= [a, n, c, n] {- DP Nontop (Mirror (Input 0)) -} [f, c] ->= [c, a, n, f] {- DP Nontop (Mirror (Input 1)) -} [a, n] ->= [c] {- DP Nontop (Mirror (Input 2)) -} [c, c] ->= [c] {- DP Nontop (Mirror (Input 3)) -} [s, n] ->= [s, s, f] {- DP Nontop (Mirror (Input 4)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 5)) -} [f#, n] |-> [f#] {- DP (Top 1) (Mirror (Input 5)) -} [f#, c] |-> [f#] {- DP (Top 3) (Mirror (Input 1)) -} [s#, n] |-> [s#, f] {- DP (Top 1) (Mirror (Input 4)) -} [s#, n] |-> [s#, s, f] {- DP (Top 0) (Mirror (Input 4)) -} reason EDG property Termination has value Just True for SRS [f#, n] |-> [f#] {- DP (Top 1) (Mirror (Input 5)) -} [f#, c] |-> [f#] {- DP (Top 3) (Mirror (Input 1)) -} [f] ->= [a, n, c, n] {- DP Nontop (Mirror (Input 0)) -} [f, c] ->= [c, a, n, f] {- DP Nontop (Mirror (Input 1)) -} [a, n] ->= [c] {- DP Nontop (Mirror (Input 2)) -} [c, c] ->= [c] {- DP Nontop (Mirror (Input 3)) -} [s, n] ->= [s, s, f] {- DP Nontop (Mirror (Input 4)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 5)) -} reason ( f , Wk / 2A 4A \ \ 0A 2A / ) ( a , Wk / 0A 0A \ \ -2A -2A / ) ( n , Wk / 0A 2A \ \ 0A 2A / ) ( c , Wk / 0A 2A \ \ -2A 0A / ) ( s , Wk / 0A 2A \ \ -2A 0A / ) ( f# , Wk / 20A 22A \ \ 20A 22A / ) property Termination has value Just True for SRS [f#, c] |-> [f#] {- DP (Top 3) (Mirror (Input 1)) -} [f] ->= [a, n, c, n] {- DP Nontop (Mirror (Input 0)) -} [f, c] ->= [c, a, n, f] {- DP Nontop (Mirror (Input 1)) -} [a, n] ->= [c] {- DP Nontop (Mirror (Input 2)) -} [c, c] ->= [c] {- DP Nontop (Mirror (Input 3)) -} [s, n] ->= [s, s, f] {- DP Nontop (Mirror (Input 4)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 5)) -} reason EDG property Termination has value Just True for SRS [f#, c] |-> [f#] {- DP (Top 3) (Mirror (Input 1)) -} [f] ->= [a, n, c, n] {- DP Nontop (Mirror (Input 0)) -} [f, c] ->= [c, a, n, f] {- DP Nontop (Mirror (Input 1)) -} [a, n] ->= [c] {- DP Nontop (Mirror (Input 2)) -} [c, c] ->= [c] {- DP Nontop (Mirror (Input 3)) -} [s, n] ->= [s, s, f] {- DP Nontop (Mirror (Input 4)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 5)) -} reason ( f , Wk / 23 4 \ \ 0 1 / ) ( a , Wk / 1 3 \ \ 0 1 / ) ( n , Wk / 1 0 \ \ 0 1 / ) ( c , Wk / 1 1 \ \ 0 1 / ) ( s , Wk / 0 0 \ \ 0 1 / ) ( f# , Wk / 4 17 \ \ 0 1 / ) property Termination has value Just True for SRS [f] ->= [a, n, c, n] {- DP Nontop (Mirror (Input 0)) -} [f, c] ->= [c, a, n, f] {- DP Nontop (Mirror (Input 1)) -} [a, n] ->= [c] {- DP Nontop (Mirror (Input 2)) -} [c, c] ->= [c] {- DP Nontop (Mirror (Input 3)) -} [s, n] ->= [s, s, f] {- DP Nontop (Mirror (Input 4)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 5)) -} reason EDG property Termination has value Just True for SRS [s#, n] |-> [s#, f] {- DP (Top 1) (Mirror (Input 4)) -} [s#, n] |-> [s#, s, f] {- DP (Top 0) (Mirror (Input 4)) -} [f] ->= [a, n, c, n] {- DP Nontop (Mirror (Input 0)) -} [f, c] ->= [c, a, n, f] {- DP Nontop (Mirror (Input 1)) -} [a, n] ->= [c] {- DP Nontop (Mirror (Input 2)) -} [c, c] ->= [c] {- DP Nontop (Mirror (Input 3)) -} [s, n] ->= [s, s, f] {- DP Nontop (Mirror (Input 4)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 5)) -} reason ( f , Wk / 0A 0A \ \ 0A 0A / ) ( a , Wk / 0A 0A \ \ 0A 0A / ) ( n , Wk / 0A 0A \ \ 0A 0A / ) ( c , Wk / 0A 0A \ \ 0A 0A / ) ( s , Wk / 0A 0A \ \ -2A -2A / ) ( s# , Wk / 27A 28A \ \ 27A 28A / ) property Termination has value Just True for SRS [s#, n] |-> [s#, f] {- DP (Top 1) (Mirror (Input 4)) -} [f] ->= [a, n, c, n] {- DP Nontop (Mirror (Input 0)) -} [f, c] ->= [c, a, n, f] {- DP Nontop (Mirror (Input 1)) -} [a, n] ->= [c] {- DP Nontop (Mirror (Input 2)) -} [c, c] ->= [c] {- DP Nontop (Mirror (Input 3)) -} [s, n] ->= [s, s, f] {- DP Nontop (Mirror (Input 4)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 5)) -} reason EDG property Termination has value Just True for SRS [s#, n] |-> [s#, f] {- DP (Top 1) (Mirror (Input 4)) -} [f] ->= [a, n, c, n] {- DP Nontop (Mirror (Input 0)) -} [f, c] ->= [c, a, n, f] {- DP Nontop (Mirror (Input 1)) -} [a, n] ->= [c] {- DP Nontop (Mirror (Input 2)) -} [c, c] ->= [c] {- DP Nontop (Mirror (Input 3)) -} [s, n] ->= [s, s, f] {- DP Nontop (Mirror (Input 4)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 5)) -} reason ( f , Wk / 0A 0A \ \ - 0A / ) ( a , Wk / - 0A \ \ - 0A / ) ( n , Wk / 23A 23A \ \ - 0A / ) ( c , Wk / - 0A \ \ - 0A / ) ( s , Wk / - 0A \ \ - 0A / ) ( s# , Wk / 2A 8A \ \ - 0A / ) property Termination has value Just True for SRS [f] ->= [a, n, c, n] {- DP Nontop (Mirror (Input 0)) -} [f, c] ->= [c, a, n, f] {- DP Nontop (Mirror (Input 1)) -} [a, n] ->= [c] {- DP Nontop (Mirror (Input 2)) -} [c, c] ->= [c] {- DP Nontop (Mirror (Input 3)) -} [s, n] ->= [s, s, f] {- DP Nontop (Mirror (Input 4)) -} [f, n] ->= [n, f] {- DP Nontop (Mirror (Input 5)) -} reason EDG ************************************************** skeleton: \Mirror(6,5)\Deepee(10/6,9)\Weight(4/6,7)\EDG[(2/6,6)\Matrix{\Arctic}{2}\EDG(1/6,6)\Matrix{\Natural}{2}(0/6,5)\EDG[],(2/6,6)\Matrix{\Arctic}{2}\EDG(1/6,6)\Matrix{\Arctic}{2}(0/6,5)\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)])