/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 DP SRS with 18 strict rules and 9 weak rules on 10 letters weights SRS with 4 strict rules and 9 weak rules on 9 letters EDG 3 sub-proofs 1 SRS with 1 strict rules and 9 weak rules on 7 letters Matrix { monotone = Weak, domain = Natural, shape = Full, bits = 5, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 0 strict rules and 9 weak rules on 6 letters EDG 2 SRS with 1 strict rules and 9 weak rules on 7 letters Matrix { monotone = Weak, domain = Natural, shape = Full, bits = 5, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 0 strict rules and 9 weak rules on 6 letters EDG 3 SRS with 2 strict rules and 9 weak rules on 7 letters Matrix { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = False} SRS with 1 strict rules and 9 weak rules on 7 letters EDG SRS with 1 strict rules and 9 weak rules on 7 letters Matrix { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 0 strict rules and 9 weak rules on 6 letters EDG ************************************************** proof ************************************************** property Termination has value Just True for SRS [r1, a] -> [a, a, a, r1] {- Input 0 -} [r2, a] -> [a, a, a, r2] {- Input 1 -} [a, l1] -> [l1, a, a, a] {- Input 2 -} [a, a, l2] -> [l2, a, a] {- Input 3 -} [r1, b] -> [l1, b] {- Input 4 -} [r2, b] -> [l2, a, b] {- Input 5 -} [b, l1] -> [b, r2] {- Input 6 -} [b, l2] -> [b, r1] {- Input 7 -} [a, a] -> [] {- Input 8 -} reason DP property Termination has value Just True for SRS [r1, a] ->= [a, a, a, r1] {- DP Nontop (Input 0) -} [r2, a] ->= [a, a, a, r2] {- DP Nontop (Input 1) -} [a, l1] ->= [l1, a, a, a] {- DP Nontop (Input 2) -} [a, a, l2] ->= [l2, a, a] {- DP Nontop (Input 3) -} [r1, b] ->= [l1, b] {- DP Nontop (Input 4) -} [r2, b] ->= [l2, a, b] {- DP Nontop (Input 5) -} [b, l1] ->= [b, r2] {- DP Nontop (Input 6) -} [b, l2] ->= [b, r1] {- DP Nontop (Input 7) -} [a, a] ->= [] {- DP Nontop (Input 8) -} [r1#, a] |-> [r1#] {- DP (Top 3) (Input 0) -} [r1#, a] |-> [a#, r1] {- DP (Top 2) (Input 0) -} [r1#, a] |-> [a#, a, r1] {- DP (Top 1) (Input 0) -} [r1#, a] |-> [a#, a, a, r1] {- DP (Top 0) (Input 0) -} [a#, a, l2] |-> [a#] {- DP (Top 2) (Input 3) -} [a#, a, l2] |-> [a#, a] {- DP (Top 1) (Input 3) -} [a#, l1] |-> [a#] {- DP (Top 3) (Input 2) -} [a#, l1] |-> [a#, a] {- DP (Top 2) (Input 2) -} [a#, l1] |-> [a#, a, a] {- DP (Top 1) (Input 2) -} [r2#, a] |-> [a#, a, a, r2] {- DP (Top 0) (Input 1) -} [r2#, a] |-> [a#, a, r2] {- DP (Top 1) (Input 1) -} [r2#, a] |-> [a#, r2] {- DP (Top 2) (Input 1) -} [r2#, a] |-> [r2#] {- DP (Top 3) (Input 1) -} [r2#, b] |-> [a#, b] {- DP (Top 1) (Input 5) -} [b#, l1] |-> [r2#] {- DP (Top 1) (Input 6) -} [b#, l1] |-> [b#, r2] {- DP (Top 0) (Input 6) -} [b#, l2] |-> [r1#] {- DP (Top 1) (Input 7) -} [b#, l2] |-> [b#, r1] {- DP (Top 0) (Input 7) -} reason (r1, 1/5) (r2, 1/5) (l1, 1/5) (l2, 1/5) (r1#, 6/5) (r2#, 8/5) (b#, 12/5) property Termination has value Just True for SRS [r1, a] ->= [a, a, a, r1] {- DP Nontop (Input 0) -} [r2, a] ->= [a, a, a, r2] {- DP Nontop (Input 1) -} [a, l1] ->= [l1, a, a, a] {- DP Nontop (Input 2) -} [a, a, l2] ->= [l2, a, a] {- DP Nontop (Input 3) -} [r1, b] ->= [l1, b] {- DP Nontop (Input 4) -} [r2, b] ->= [l2, a, b] {- DP Nontop (Input 5) -} [b, l1] ->= [b, r2] {- DP Nontop (Input 6) -} [b, l2] ->= [b, r1] {- DP Nontop (Input 7) -} [a, a] ->= [] {- DP Nontop (Input 8) -} [r1#, a] |-> [r1#] {- DP (Top 3) (Input 0) -} [r2#, a] |-> [r2#] {- DP (Top 3) (Input 1) -} [b#, l1] |-> [b#, r2] {- DP (Top 0) (Input 6) -} [b#, l2] |-> [b#, r1] {- DP (Top 0) (Input 7) -} reason EDG property Termination has value Just True for SRS [r1#, a] |-> [r1#] {- DP (Top 3) (Input 0) -} [r1, a] ->= [a, a, a, r1] {- DP Nontop (Input 0) -} [r2, a] ->= [a, a, a, r2] {- DP Nontop (Input 1) -} [a, l1] ->= [l1, a, a, a] {- DP Nontop (Input 2) -} [a, a, l2] ->= [l2, a, a] {- DP Nontop (Input 3) -} [r1, b] ->= [l1, b] {- DP Nontop (Input 4) -} [r2, b] ->= [l2, a, b] {- DP Nontop (Input 5) -} [b, l1] ->= [b, r2] {- DP Nontop (Input 6) -} [b, l2] ->= [b, r1] {- DP Nontop (Input 7) -} [a, a] ->= [] {- DP Nontop (Input 8) -} reason ( r1 , Wk / 8 5 \ \ 0 1 / ) ( a , Wk / 1 3 \ \ 0 1 / ) ( r2 , Wk / 9 3 \ \ 0 1 / ) ( l1 , Wk / 0 13 \ \ 0 1 / ) ( l2 , Wk / 1 1 \ \ 0 1 / ) ( b , Wk / 0 1 \ \ 0 1 / ) ( r1# , Wk / 8 2 \ \ 0 1 / ) property Termination has value Just True for SRS [r1, a] ->= [a, a, a, r1] {- DP Nontop (Input 0) -} [r2, a] ->= [a, a, a, r2] {- DP Nontop (Input 1) -} [a, l1] ->= [l1, a, a, a] {- DP Nontop (Input 2) -} [a, a, l2] ->= [l2, a, a] {- DP Nontop (Input 3) -} [r1, b] ->= [l1, b] {- DP Nontop (Input 4) -} [r2, b] ->= [l2, a, b] {- DP Nontop (Input 5) -} [b, l1] ->= [b, r2] {- DP Nontop (Input 6) -} [b, l2] ->= [b, r1] {- DP Nontop (Input 7) -} [a, a] ->= [] {- DP Nontop (Input 8) -} reason EDG property Termination has value Just True for SRS [r2#, a] |-> [r2#] {- DP (Top 3) (Input 1) -} [r1, a] ->= [a, a, a, r1] {- DP Nontop (Input 0) -} [r2, a] ->= [a, a, a, r2] {- DP Nontop (Input 1) -} [a, l1] ->= [l1, a, a, a] {- DP Nontop (Input 2) -} [a, a, l2] ->= [l2, a, a] {- DP Nontop (Input 3) -} [r1, b] ->= [l1, b] {- DP Nontop (Input 4) -} [r2, b] ->= [l2, a, b] {- DP Nontop (Input 5) -} [b, l1] ->= [b, r2] {- DP Nontop (Input 6) -} [b, l2] ->= [b, r1] {- DP Nontop (Input 7) -} [a, a] ->= [] {- DP Nontop (Input 8) -} reason ( r1 , Wk / 8 5 \ \ 0 1 / ) ( a , Wk / 1 3 \ \ 0 1 / ) ( r2 , Wk / 9 3 \ \ 0 1 / ) ( l1 , Wk / 0 13 \ \ 0 1 / ) ( l2 , Wk / 1 1 \ \ 0 1 / ) ( b , Wk / 0 1 \ \ 0 1 / ) ( r2# , Wk / 8 2 \ \ 0 1 / ) property Termination has value Just True for SRS [r1, a] ->= [a, a, a, r1] {- DP Nontop (Input 0) -} [r2, a] ->= [a, a, a, r2] {- DP Nontop (Input 1) -} [a, l1] ->= [l1, a, a, a] {- DP Nontop (Input 2) -} [a, a, l2] ->= [l2, a, a] {- DP Nontop (Input 3) -} [r1, b] ->= [l1, b] {- DP Nontop (Input 4) -} [r2, b] ->= [l2, a, b] {- DP Nontop (Input 5) -} [b, l1] ->= [b, r2] {- DP Nontop (Input 6) -} [b, l2] ->= [b, r1] {- DP Nontop (Input 7) -} [a, a] ->= [] {- DP Nontop (Input 8) -} reason EDG property Termination has value Just True for SRS [b#, l1] |-> [b#, r2] {- DP (Top 0) (Input 6) -} [b#, l2] |-> [b#, r1] {- DP (Top 0) (Input 7) -} [r1, a] ->= [a, a, a, r1] {- DP Nontop (Input 0) -} [r2, a] ->= [a, a, a, r2] {- DP Nontop (Input 1) -} [a, l1] ->= [l1, a, a, a] {- DP Nontop (Input 2) -} [a, a, l2] ->= [l2, a, a] {- DP Nontop (Input 3) -} [r1, b] ->= [l1, b] {- DP Nontop (Input 4) -} [r2, b] ->= [l2, a, b] {- DP Nontop (Input 5) -} [b, l1] ->= [b, r2] {- DP Nontop (Input 6) -} [b, l2] ->= [b, r1] {- DP Nontop (Input 7) -} [a, a] ->= [] {- DP Nontop (Input 8) -} reason ( r1 , Wk / 1A 3A - \ | 3A 1A 2A | \ - - 0A / ) ( a , Wk / - 0A 3A \ | 0A - 1A | \ - - 0A / ) ( r2 , Wk / - 3A 3A \ | 3A - 4A | \ - - 0A / ) ( l1 , Wk / 1A 3A 7A \ | 3A 1A 7A | \ - - 0A / ) ( l2 , Wk / 3A 4A 10A \ | - 3A 9A | \ - - 0A / ) ( b , Wk / - - 8A \ | - - 9A | \ - - 0A / ) ( b# , Wk / 5A - 13A \ | - - - | \ - - 0A / ) property Termination has value Just True for SRS [b#, l1] |-> [b#, r2] {- DP (Top 0) (Input 6) -} [r1, a] ->= [a, a, a, r1] {- DP Nontop (Input 0) -} [r2, a] ->= [a, a, a, r2] {- DP Nontop (Input 1) -} [a, l1] ->= [l1, a, a, a] {- DP Nontop (Input 2) -} [a, a, l2] ->= [l2, a, a] {- DP Nontop (Input 3) -} [r1, b] ->= [l1, b] {- DP Nontop (Input 4) -} [r2, b] ->= [l2, a, b] {- DP Nontop (Input 5) -} [b, l1] ->= [b, r2] {- DP Nontop (Input 6) -} [b, l2] ->= [b, r1] {- DP Nontop (Input 7) -} [a, a] ->= [] {- DP Nontop (Input 8) -} reason EDG property Termination has value Just True for SRS [b#, l1] |-> [b#, r2] {- DP (Top 0) (Input 6) -} [r1, a] ->= [a, a, a, r1] {- DP Nontop (Input 0) -} [r2, a] ->= [a, a, a, r2] {- DP Nontop (Input 1) -} [a, l1] ->= [l1, a, a, a] {- DP Nontop (Input 2) -} [a, a, l2] ->= [l2, a, a] {- DP Nontop (Input 3) -} [r1, b] ->= [l1, b] {- DP Nontop (Input 4) -} [r2, b] ->= [l2, a, b] {- DP Nontop (Input 5) -} [b, l1] ->= [b, r2] {- DP Nontop (Input 6) -} [b, l2] ->= [b, r1] {- DP Nontop (Input 7) -} [a, a] ->= [] {- DP Nontop (Input 8) -} reason ( r1 , Wk / 26A 26A \ \ 24A 24A / ) ( a , Wk / 0A 0A \ \ -2A 0A / ) ( r2 , Wk / 24A 24A \ \ 24A 24A / ) ( l1 , Wk / 26A 26A \ \ 24A 24A / ) ( l2 , Wk / 24A 24A \ \ 24A 24A / ) ( b , Wk / 0A 2A \ \ -2A 0A / ) ( b# , Wk / 6A 7A \ \ 6A 7A / ) property Termination has value Just True for SRS [r1, a] ->= [a, a, a, r1] {- DP Nontop (Input 0) -} [r2, a] ->= [a, a, a, r2] {- DP Nontop (Input 1) -} [a, l1] ->= [l1, a, a, a] {- DP Nontop (Input 2) -} [a, a, l2] ->= [l2, a, a] {- DP Nontop (Input 3) -} [r1, b] ->= [l1, b] {- DP Nontop (Input 4) -} [r2, b] ->= [l2, a, b] {- DP Nontop (Input 5) -} [b, l1] ->= [b, r2] {- DP Nontop (Input 6) -} [b, l2] ->= [b, r1] {- DP Nontop (Input 7) -} [a, a] ->= [] {- DP Nontop (Input 8) -} reason EDG ************************************************** skeleton: (9,6)\Deepee(18/9,10)\Weight(4/9,9)\EDG[(1/9,7)\Matrix{\Natural}{2}(0/9,6)\EDG[],(1/9,7)\Matrix{\Natural}{2}(0/9,6)\EDG[],(2/9,7)\Matrix{\Arctic}{3}\EDG(1/9,7)\Matrix{\Arctic}{2}(0/9,6)\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)])