/export/starexec/sandbox2/solver/bin/starexec_run_tc20-std.sh /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES ************************************************** summary ************************************************** SRS with 15 rules on 7 letters weights SRS with 11 rules on 7 letters DP SRS with 16 strict rules and 11 weak rules on 12 letters weights SRS with 1 strict rules and 11 weak rules on 8 letters EDG SRS with 1 strict rules and 11 weak rules on 8 letters Matrix { monotone = Strict, domain = Natural, shape = Full, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 1 strict rules and 10 weak rules on 8 letters EDG SRS with 1 strict rules and 10 weak rules on 8 letters Matrix { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = False} SRS with 0 strict rules and 10 weak rules on 7 letters EDG ************************************************** proof ************************************************** property Termination has value Just True for SRS [r, r] -> [s, r] {- Input 0 -} [r, s] -> [s, r] {- Input 1 -} [r, n] -> [s, r] {- Input 2 -} [r, b] -> [u, s, b] {- Input 3 -} [r, u] -> [u, r] {- Input 4 -} [s, u] -> [u, s] {- Input 5 -} [n, u] -> [u, n] {- Input 6 -} [t, r, u] -> [t, c, r] {- Input 7 -} [t, s, u] -> [t, c, r] {- Input 8 -} [t, n, u] -> [t, c, r] {- Input 9 -} [c, u] -> [u, c] {- Input 10 -} [c, s] -> [s, c] {- Input 11 -} [c, r] -> [r, c] {- Input 12 -} [c, n] -> [n, c] {- Input 13 -} [c, n] -> [n] {- Input 14 -} reason (r, 1/2) (n, 1/1) (u, 1/2) property Termination has value Just True for SRS [r, s] -> [s, r] {- Input 1 -} [r, b] -> [u, s, b] {- Input 3 -} [r, u] -> [u, r] {- Input 4 -} [s, u] -> [u, s] {- Input 5 -} [n, u] -> [u, n] {- Input 6 -} [t, s, u] -> [t, c, r] {- Input 8 -} [c, u] -> [u, c] {- Input 10 -} [c, s] -> [s, c] {- Input 11 -} [c, r] -> [r, c] {- Input 12 -} [c, n] -> [n, c] {- Input 13 -} [c, n] -> [n] {- Input 14 -} reason DP property Termination has value Just True for SRS [r, s] ->= [s, r] {- DP Nontop (Input 1) -} [r, b] ->= [u, s, b] {- DP Nontop (Input 3) -} [r, u] ->= [u, r] {- DP Nontop (Input 4) -} [s, u] ->= [u, s] {- DP Nontop (Input 5) -} [n, u] ->= [u, n] {- DP Nontop (Input 6) -} [t, s, u] ->= [t, c, r] {- DP Nontop (Input 8) -} [c, u] ->= [u, c] {- DP Nontop (Input 10) -} [c, s] ->= [s, c] {- DP Nontop (Input 11) -} [c, r] ->= [r, c] {- DP Nontop (Input 12) -} [c, n] ->= [n, c] {- DP Nontop (Input 13) -} [c, n] ->= [n] {- DP Nontop (Input 14) -} [r#, s] |-> [r#] {- DP (Top 1) (Input 1) -} [r#, s] |-> [s#, r] {- DP (Top 0) (Input 1) -} [r#, b] |-> [s#, b] {- DP (Top 1) (Input 3) -} [r#, u] |-> [r#] {- DP (Top 1) (Input 4) -} [s#, u] |-> [s#] {- DP (Top 1) (Input 5) -} [n#, u] |-> [n#] {- DP (Top 1) (Input 6) -} [t#, s, u] |-> [r#] {- DP (Top 2) (Input 8) -} [t#, s, u] |-> [t#, c, r] {- DP (Top 0) (Input 8) -} [t#, s, u] |-> [c#, r] {- DP (Top 1) (Input 8) -} [c#, r] |-> [r#, c] {- DP (Top 0) (Input 12) -} [c#, r] |-> [c#] {- DP (Top 1) (Input 12) -} [c#, s] |-> [s#, c] {- DP (Top 0) (Input 11) -} [c#, s] |-> [c#] {- DP (Top 1) (Input 11) -} [c#, n] |-> [n#, c] {- DP (Top 0) (Input 13) -} [c#, n] |-> [c#] {- DP (Top 1) (Input 13) -} [c#, u] |-> [c#] {- DP (Top 1) (Input 10) -} reason (r, 3/2) (s, 1/2) (u, 1/1) (n, 5/2) (r#, 2/1) (t#, 5/2) (c#, 3/2) property Termination has value Just True for SRS [r, s] ->= [s, r] {- DP Nontop (Input 1) -} [r, b] ->= [u, s, b] {- DP Nontop (Input 3) -} [r, u] ->= [u, r] {- DP Nontop (Input 4) -} [s, u] ->= [u, s] {- DP Nontop (Input 5) -} [n, u] ->= [u, n] {- DP Nontop (Input 6) -} [t, s, u] ->= [t, c, r] {- DP Nontop (Input 8) -} [c, u] ->= [u, c] {- DP Nontop (Input 10) -} [c, s] ->= [s, c] {- DP Nontop (Input 11) -} [c, r] ->= [r, c] {- DP Nontop (Input 12) -} [c, n] ->= [n, c] {- DP Nontop (Input 13) -} [c, n] ->= [n] {- DP Nontop (Input 14) -} [t#, s, u] |-> [t#, c, r] {- DP (Top 0) (Input 8) -} reason EDG property Termination has value Just True for SRS [t#, s, u] |-> [t#, c, r] {- DP (Top 0) (Input 8) -} [r, s] ->= [s, r] {- DP Nontop (Input 1) -} [r, b] ->= [u, s, b] {- DP Nontop (Input 3) -} [r, u] ->= [u, r] {- DP Nontop (Input 4) -} [s, u] ->= [u, s] {- DP Nontop (Input 5) -} [n, u] ->= [u, n] {- DP Nontop (Input 6) -} [t, s, u] ->= [t, c, r] {- DP Nontop (Input 8) -} [c, u] ->= [u, c] {- DP Nontop (Input 10) -} [c, s] ->= [s, c] {- DP Nontop (Input 11) -} [c, r] ->= [r, c] {- DP Nontop (Input 12) -} [c, n] ->= [n, c] {- DP Nontop (Input 13) -} [c, n] ->= [n] {- DP Nontop (Input 14) -} reason ( r , St / 1 1 \ \ 0 1 / ) ( s , St / 1 0 \ \ 0 1 / ) ( b , St / 1 1 \ \ 0 1 / ) ( u , St / 1 1 \ \ 0 1 / ) ( n , St / 2 0 \ \ 0 1 / ) ( t , St / 1 1 \ \ 0 1 / ) ( c , St / 1 0 \ \ 0 1 / ) ( t# , St / 1 1 \ \ 0 1 / ) property Termination has value Just True for SRS [t#, s, u] |-> [t#, c, r] {- DP (Top 0) (Input 8) -} [r, s] ->= [s, r] {- DP Nontop (Input 1) -} [r, b] ->= [u, s, b] {- DP Nontop (Input 3) -} [r, u] ->= [u, r] {- DP Nontop (Input 4) -} [s, u] ->= [u, s] {- DP Nontop (Input 5) -} [t, s, u] ->= [t, c, r] {- DP Nontop (Input 8) -} [c, u] ->= [u, c] {- DP Nontop (Input 10) -} [c, s] ->= [s, c] {- DP Nontop (Input 11) -} [c, r] ->= [r, c] {- DP Nontop (Input 12) -} [c, n] ->= [n, c] {- DP Nontop (Input 13) -} [c, n] ->= [n] {- DP Nontop (Input 14) -} reason EDG property Termination has value Just True for SRS [t#, s, u] |-> [t#, c, r] {- DP (Top 0) (Input 8) -} [r, s] ->= [s, r] {- DP Nontop (Input 1) -} [r, b] ->= [u, s, b] {- DP Nontop (Input 3) -} [r, u] ->= [u, r] {- DP Nontop (Input 4) -} [s, u] ->= [u, s] {- DP Nontop (Input 5) -} [t, s, u] ->= [t, c, r] {- DP Nontop (Input 8) -} [c, u] ->= [u, c] {- DP Nontop (Input 10) -} [c, s] ->= [s, c] {- DP Nontop (Input 11) -} [c, r] ->= [r, c] {- DP Nontop (Input 12) -} [c, n] ->= [n, c] {- DP Nontop (Input 13) -} [c, n] ->= [n] {- DP Nontop (Input 14) -} reason ( r , Wk / 2A 11A - \ | - 4A - | \ - - 0A / ) ( s , Wk / 1A - - \ | - 1A - | \ - - 0A / ) ( b , Wk / 0A - - \ | 1A 9A 9A | \ - - 0A / ) ( u , Wk / 2A - - \ | - 3A - | \ - - 0A / ) ( n , Wk / - - 0A \ | - - - | \ - - 0A / ) ( t , Wk / - - 0A \ | - - 0A | \ - - 0A / ) ( c , Wk / 0A 6A - \ | - - - | \ - - 0A / ) ( t# , Wk / 0A 11A - \ | - - - | \ - - 0A / ) property Termination has value Just True for SRS [r, s] ->= [s, r] {- DP Nontop (Input 1) -} [r, b] ->= [u, s, b] {- DP Nontop (Input 3) -} [r, u] ->= [u, r] {- DP Nontop (Input 4) -} [s, u] ->= [u, s] {- DP Nontop (Input 5) -} [t, s, u] ->= [t, c, r] {- DP Nontop (Input 8) -} [c, u] ->= [u, c] {- DP Nontop (Input 10) -} [c, s] ->= [s, c] {- DP Nontop (Input 11) -} [c, r] ->= [r, c] {- DP Nontop (Input 12) -} [c, n] ->= [n, c] {- DP Nontop (Input 13) -} [c, n] ->= [n] {- DP Nontop (Input 14) -} reason EDG ************************************************** skeleton: (15,7)\Weight(11,7)\Deepee(16/11,12)\Weight\EDG(1/11,8)\Matrix{\Natural}{2}\EDG(1/10,8)\Matrix{\Arctic}{3}(0/10,7)\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)])