/export/starexec/sandbox/solver/bin/starexec_run_tc21-9.sh /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES ************************************************** summary ************************************************** SRS with 50 rules on 6 letters mirror SRS with 50 rules on 6 letters Matchbound { method = RFC, max_size = Just 100000, max_bound = Nothing, verbose = False, tracing = False} matchbound 3 certified by automaton with 1291 states ************************************************** proof ************************************************** property Termination has value Just True for SRS [0, 0, 1] -> [2, 3, 1, 4, 0, 0] {- Input 0 -} [1, 0, 0] -> [0, 2, 3, 1, 0] {- Input 1 -} [1, 0, 1] -> [0, 2, 1, 2, 3, 1] {- Input 2 -} [1, 0, 1] -> [1, 0, 5, 2, 3, 1] {- Input 3 -} [1, 0, 1] -> [2, 1, 0, 2, 3, 1] {- Input 4 -} [4, 0, 0] -> [0, 2, 3, 4, 0] {- Input 5 -} [4, 0, 1] -> [0, 2, 2, 1, 4] {- Input 6 -} [4, 0, 1] -> [0, 2, 3, 4, 1] {- Input 7 -} [5, 1, 0] -> [5, 2, 3, 1, 0] {- Input 8 -} [5, 1, 0] -> [5, 2, 3, 3, 1, 0] {- Input 9 -} [5, 1, 1] -> [2, 3, 1, 4, 1, 5] {- Input 10 -} [5, 1, 1] -> [5, 3, 2, 3, 1, 1] {- Input 11 -} [0, 0, 3, 0] -> [4, 0, 0, 2, 3, 0] {- Input 12 -} [0, 3, 0, 1] -> [0, 0, 2, 2, 1, 3] {- Input 13 -} [1, 0, 3, 1] -> [0, 1, 2, 3, 1, 3] {- Input 14 -} [1, 0, 3, 1] -> [0, 4, 1, 2, 3, 1] {- Input 15 -} [1, 2, 5, 1] -> [5, 4, 2, 3, 1, 1] {- Input 16 -} [4, 0, 1, 1] -> [0, 2, 4, 1, 1] {- Input 17 -} [4, 0, 1, 5] -> [5, 0, 2, 3, 1, 4] {- Input 18 -} [4, 0, 1, 5] -> [5, 4, 1, 3, 4, 0] {- Input 19 -} [4, 0, 3, 0] -> [0, 2, 3, 0, 4, 5] {- Input 20 -} [4, 0, 3, 5] -> [0, 2, 3, 4, 1, 5] {- Input 21 -} [4, 2, 5, 0] -> [4, 5, 2, 3, 0] {- Input 22 -} [4, 2, 5, 0] -> [4, 0, 2, 3, 5, 4] {- Input 23 -} [4, 3, 0, 0] -> [0, 2, 3, 4, 3, 0] {- Input 24 -} [4, 3, 0, 1] -> [1, 4, 0, 2, 3] {- Input 25 -} [4, 3, 0, 1] -> [3, 0, 2, 2, 4, 1] {- Input 26 -} [5, 1, 1, 1] -> [2, 2, 1, 1, 5, 1] {- Input 27 -} [0, 0, 1, 2, 5] -> [2, 3, 1, 5, 0, 0] {- Input 28 -} [0, 1, 3, 0, 0] -> [2, 3, 1, 0, 0, 0] {- Input 29 -} [0, 2, 5, 3, 1] -> [2, 0, 5, 4, 1, 3] {- Input 30 -} [0, 2, 5, 5, 1] -> [0, 2, 1, 5, 4, 5] {- Input 31 -} [0, 3, 0, 5, 1] -> [2, 1, 5, 3, 0, 0] {- Input 32 -} [0, 4, 3, 5, 1] -> [2, 4, 3, 1, 0, 5] {- Input 33 -} [0, 5, 1, 1, 5] -> [0, 1, 2, 1, 5, 5] {- Input 34 -} [0, 5, 1, 3, 0] -> [2, 1, 3, 5, 0, 0] {- Input 35 -} [1, 0, 4, 1, 5] -> [4, 1, 2, 1, 5, 0] {- Input 36 -} [1, 2, 4, 5, 1] -> [1, 4, 1, 5, 2, 3] {- Input 37 -} [1, 2, 5, 3, 0] -> [1, 4, 2, 3, 5, 0] {- Input 38 -} [1, 3, 0, 4, 0] -> [0, 2, 3, 1, 4, 0] {- Input 39 -} [4, 0, 3, 1, 5] -> [4, 4, 3, 5, 0, 1] {- Input 40 -} [4, 2, 5, 0, 0] -> [0, 5, 2, 0, 4, 4] {- Input 41 -} [4, 2, 5, 0, 0] -> [5, 2, 3, 4, 0, 0] {- Input 42 -} [4, 2, 5, 3, 0] -> [4, 0, 2, 5, 2, 3] {- Input 43 -} [4, 2, 5, 3, 0] -> [5, 2, 4, 3, 1, 0] {- Input 44 -} [4, 2, 5, 3, 1] -> [2, 3, 1, 5, 4, 2] {- Input 45 -} [4, 3, 0, 0, 1] -> [2, 4, 3, 1, 0, 0] {- Input 46 -} [4, 3, 2, 5, 0] -> [0, 4, 2, 3, 4, 5] {- Input 47 -} [4, 5, 1, 3, 1] -> [4, 1, 3, 5, 4, 1] {- Input 48 -} [5, 1, 4, 3, 1] -> [5, 3, 2, 4, 1, 1] {- Input 49 -} reason mirror property Termination has value Just True for SRS [1, 0, 0] -> [0, 0, 4, 1, 3, 2] {- Mirror (Input 0) -} [0, 0, 1] -> [0, 1, 3, 2, 0] {- Mirror (Input 1) -} [1, 0, 1] -> [1, 3, 2, 1, 2, 0] {- Mirror (Input 2) -} [1, 0, 1] -> [1, 3, 2, 5, 0, 1] {- Mirror (Input 3) -} [1, 0, 1] -> [1, 3, 2, 0, 1, 2] {- Mirror (Input 4) -} [0, 0, 4] -> [0, 4, 3, 2, 0] {- Mirror (Input 5) -} [1, 0, 4] -> [4, 1, 2, 2, 0] {- Mirror (Input 6) -} [1, 0, 4] -> [1, 4, 3, 2, 0] {- Mirror (Input 7) -} [0, 1, 5] -> [0, 1, 3, 2, 5] {- Mirror (Input 8) -} [0, 1, 5] -> [0, 1, 3, 3, 2, 5] {- Mirror (Input 9) -} [1, 1, 5] -> [5, 1, 4, 1, 3, 2] {- Mirror (Input 10) -} [1, 1, 5] -> [1, 1, 3, 2, 3, 5] {- Mirror (Input 11) -} [0, 3, 0, 0] -> [0, 3, 2, 0, 0, 4] {- Mirror (Input 12) -} [1, 0, 3, 0] -> [3, 1, 2, 2, 0, 0] {- Mirror (Input 13) -} [1, 3, 0, 1] -> [3, 1, 3, 2, 1, 0] {- Mirror (Input 14) -} [1, 3, 0, 1] -> [1, 3, 2, 1, 4, 0] {- Mirror (Input 15) -} [1, 5, 2, 1] -> [1, 1, 3, 2, 4, 5] {- Mirror (Input 16) -} [1, 1, 0, 4] -> [1, 1, 4, 2, 0] {- Mirror (Input 17) -} [5, 1, 0, 4] -> [4, 1, 3, 2, 0, 5] {- Mirror (Input 18) -} [5, 1, 0, 4] -> [0, 4, 3, 1, 4, 5] {- Mirror (Input 19) -} [0, 3, 0, 4] -> [5, 4, 0, 3, 2, 0] {- Mirror (Input 20) -} [5, 3, 0, 4] -> [5, 1, 4, 3, 2, 0] {- Mirror (Input 21) -} [0, 5, 2, 4] -> [0, 3, 2, 5, 4] {- Mirror (Input 22) -} [0, 5, 2, 4] -> [4, 5, 3, 2, 0, 4] {- Mirror (Input 23) -} [0, 0, 3, 4] -> [0, 3, 4, 3, 2, 0] {- Mirror (Input 24) -} [1, 0, 3, 4] -> [3, 2, 0, 4, 1] {- Mirror (Input 25) -} [1, 0, 3, 4] -> [1, 4, 2, 2, 0, 3] {- Mirror (Input 26) -} [1, 1, 1, 5] -> [1, 5, 1, 1, 2, 2] {- Mirror (Input 27) -} [5, 2, 1, 0, 0] -> [0, 0, 5, 1, 3, 2] {- Mirror (Input 28) -} [0, 0, 3, 1, 0] -> [0, 0, 0, 1, 3, 2] {- Mirror (Input 29) -} [1, 3, 5, 2, 0] -> [3, 1, 4, 5, 0, 2] {- Mirror (Input 30) -} [1, 5, 5, 2, 0] -> [5, 4, 5, 1, 2, 0] {- Mirror (Input 31) -} [1, 5, 0, 3, 0] -> [0, 0, 3, 5, 1, 2] {- Mirror (Input 32) -} [1, 5, 3, 4, 0] -> [5, 0, 1, 3, 4, 2] {- Mirror (Input 33) -} [5, 1, 1, 5, 0] -> [5, 5, 1, 2, 1, 0] {- Mirror (Input 34) -} [0, 3, 1, 5, 0] -> [0, 0, 5, 3, 1, 2] {- Mirror (Input 35) -} [5, 1, 4, 0, 1] -> [0, 5, 1, 2, 1, 4] {- Mirror (Input 36) -} [1, 5, 4, 2, 1] -> [3, 2, 5, 1, 4, 1] {- Mirror (Input 37) -} [0, 3, 5, 2, 1] -> [0, 5, 3, 2, 4, 1] {- Mirror (Input 38) -} [0, 4, 0, 3, 1] -> [0, 4, 1, 3, 2, 0] {- Mirror (Input 39) -} [5, 1, 3, 0, 4] -> [1, 0, 5, 3, 4, 4] {- Mirror (Input 40) -} [0, 0, 5, 2, 4] -> [4, 4, 0, 2, 5, 0] {- Mirror (Input 41) -} [0, 0, 5, 2, 4] -> [0, 0, 4, 3, 2, 5] {- Mirror (Input 42) -} [0, 3, 5, 2, 4] -> [3, 2, 5, 2, 0, 4] {- Mirror (Input 43) -} [0, 3, 5, 2, 4] -> [0, 1, 3, 4, 2, 5] {- Mirror (Input 44) -} [1, 3, 5, 2, 4] -> [2, 4, 5, 1, 3, 2] {- Mirror (Input 45) -} [1, 0, 0, 3, 4] -> [0, 0, 1, 3, 4, 2] {- Mirror (Input 46) -} [0, 5, 2, 3, 4] -> [5, 4, 3, 2, 4, 0] {- Mirror (Input 47) -} [1, 3, 1, 5, 4] -> [1, 4, 5, 3, 1, 4] {- Mirror (Input 48) -} [1, 3, 4, 1, 5] -> [1, 1, 4, 2, 3, 5] {- Mirror (Input 49) -} reason Matchbound Matchbound { method = RFC, max_size = Just 100000, max_bound = Nothing, verbose = False, tracing = False} matchbound 3 certified by automaton with 1291 states ************************************************** skeleton: \Mirror(50,6)\Rfcmatchbound{3}[] ************************************************** let {} in let {trac ?= False;loop_cap = 1;match_cap = 2;tile_cap = 3;matrix_cap = 4;mo = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail));wop = Or_Else (Worker (Weight {modus = mo})) Pass;weighted = \ m -> And_Then m wop;done = Worker No_Strict_Rules;dont = \ p -> Fail;tiling = \ m w -> On tile_cap (weighted (And_Then (Worker (Tiling {method = m,width = w,map_type = Enum,max_num_tiles = Just 1000,max_num_rules = Just 100000})) (Worker Remap)));tile_roc = Tree_Search_Preemptive 0 done let {ws = [ 2, 4, 8, 12]}in (for ws (\ w -> tiling Overlap w)) <> [ Worker Unlabel];mb = \ size -> On match_cap (Apply (Worker (Matchbound {method = RFC,max_size = Just size})) done);mbs = \ size -> First_Of [ mb size, Apply (Worker Mirror) (mb size)];tile_rfc = Tree_Search_Preemptive 0 done let {ws = [ 2, 4, 8, 12]}in (for ws (\ w -> tiling Forward w)) <> ((for ws (\ w -> tiling Backward w)) <> [ Worker Unlabel]);solver = Minisatapi;qpi = \ dim bits -> On matrix_cap (weighted (Worker (QPI {tracing = trac,dim = dim,bits = bits,solver = solver})));qpis = Seq [ Timeout 10 (qpi 2 3), Timeout 30 (qpi 4 3), Timeout 50 (qpi 6 3), qpi 8 3];kbo = \ b -> On matrix_cap (weighted (Worker (KBO {bits = b,solver = solver})));matrix = \ dom dim bits -> On matrix_cap (weighted (Worker (Matrix {monotone = Weak,domain = dom,dim = dim,bits = bits,encoding = Ersatz_Binary,tracing = trac,verbose = True,solver = solver})));arctics = Seq [ Timeout 10 (matrix Arctic 2 16), Timeout 30 (matrix Arctic 4 8), Timeout 50 (matrix Arctic 6 4), matrix Arctic 8 2];naturals = Seq [ Timeout 10 (matrix Natural 2 4), Timeout 30 (matrix Natural 4 3), Timeout 50 (matrix Natural 6 2), matrix Natural 8 1];remove = First_Of [ qpis, arctics, naturals, As_Transformer tile_roc];remove_wop = And_Then wop (Or_Else (As_Transformer (Worker No_Strict_Rules)) remove);deepee = Apply (And_Then (Worker DP) (Worker Remap)) (Apply wop (Branch (Worker (EDG {tracing = False,usable = True})) remove_wop));when_small = \ m -> Apply (Worker (SizeAtmost 1000)) m;yeah = First_Of [ when_small (First_Of [ deepee, Apply (Worker Mirror) deepee]), tile_rfc, mbs 100000];noh_for = \ side -> Worker (Simple (Config {closure = side,max_closure_width = Nothing,intermediates = All,priority = Linear [ ( 1, Log2 Steps), ( -1, Width_lhs), ( -2, Log2 Width_rhs)]}));noh = First_Of [ On loop_cap (noh_for Forward), On loop_cap (noh_for Backward), On loop_cap (Worker Transport)]} in Apply (Worker Remap) (Apply wop (Seq [ Worker KKST01, First_Of [ yeah, noh]])) ************************************************** statistics on proof search (nodes types that (together) took more than 1.000000000000) ************************************************** Success : Matchbound { method = RFC , max_size = Just 100000 , max_bound = Nothing , verbose = False , tracing = False} total number 1 max duration 6.322204910000 min duration 6.322204910000 total durat. 6.322204910000 Info { what = Matchbound { method = RFC , max_size = Just 100000 , max_bound = Nothing , verbose = False , tracing = False} , input_size = Size { num_rules = 50 , num_strict_rules = 50 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 6 , total_length = 502} , self = 29 , parent = Just 8 , duration = 6.322204910000 , status = Success , start = 2021-07-13 17:03:51.567142588 UTC , finish = 2021-07-13 17:03:57.889347498 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '5' , '5' ] , 2 , True )} Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] : Matchbound { method = RFC , max_size = Just 100000 , max_bound = Nothing , verbose = False , tracing = False} total number 1 max duration 6.322416450000 min duration 6.322416450000 total durat. 6.322416450000 Info { what = Matchbound { method = RFC , max_size = Just 100000 , max_bound = Nothing , verbose = False , tracing = False} , input_size = Size { num_rules = 50 , num_strict_rules = 50 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 6 , total_length = 502} , self = 31 , parent = Just 0 , duration = 6.322416450000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 17:03:51.567109026 UTC , finish = 2021-07-13 17:03:57.889525476 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '5' , '3' ] , 2 , True )} Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] : Matrix { monotone = Weak , domain = Arctic , shape = Full , bits = 16 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False} total number 1 max duration 6.203247809000 min duration 6.203247809000 total durat. 6.203247809000 Info { what = Matrix { monotone = Weak , domain = Arctic , shape = Full , bits = 16 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False} , input_size = Size { num_rules = 104 , num_strict_rules = 54 , num_top_rules = 54 , num_weak_rules = 50 , alphabet_size = 10 , total_length = 927} , self = 33 , parent = Just 21 , duration = 6.203247809000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 17:03:51.689867976 UTC , finish = 2021-07-13 17:03:57.893115785 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '5' , '3' ] , 0 , True )} Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] : Matrix { monotone = Weak , domain = Natural , shape = Full , bits = 4 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False} total number 1 max duration 6.203317778000 min duration 6.203317778000 total durat. 6.203317778000 Info { what = Matrix { monotone = Weak , domain = Natural , shape = Full , bits = 4 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False} , input_size = Size { num_rules = 104 , num_strict_rules = 54 , num_top_rules = 54 , num_weak_rules = 50 , alphabet_size = 10 , total_length = 927} , self = 34 , parent = Just 21 , duration = 6.203317778000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 17:03:51.689852034 UTC , finish = 2021-07-13 17:03:57.893169812 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '4' , '9' ] , 0 , True )} Fail : QPI { dim = 2, bits = 3, solver = Minisatapi, tracing = False, verbose = False} total number 1 max duration 6.203232416000 min duration 6.203232416000 total durat. 6.203232416000 Info { what = QPI { dim = 2 , bits = 3 , solver = Minisatapi , tracing = False , verbose = False} , input_size = Size { num_rules = 104 , num_strict_rules = 54 , num_top_rules = 54 , num_weak_rules = 50 , alphabet_size = 10 , total_length = 927} , self = 32 , parent = Just 21 , duration = 6.203232416000 , status = Fail , start = 2021-07-13 17:03:51.689813695 UTC , finish = 2021-07-13 17:03:57.893046111 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '4' , '6' ] , 0 , True )} **************************************************