/export/starexec/sandbox/solver/bin/starexec_run_tc21-9.sh /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO ************************************************** summary ************************************************** SRS with 1 rules on 3 letters admits a non-terminating transport system with pivot [a, b, a, b, a, b, a, b, a, b] alphabet [[c], [a, b]] pivot represented as [[a, b], [a, b], [a, b], [a, b], [a, b]] derivations for transport system [c] [c] pivot ->^1 pivot [[c], [c], [c], [a, b]] because of derivation [c, a, b, a, b, a, b, a, b, a, b] ->^1 [a, b, a, b, a, b, a, b, a, b, c, c, c, a, b] via steps Step { rule = 0, position = 0} [a, b] [a, b] pivot ->^0 pivot [[a, b]] because of derivation [a, b, a, b, a, b, a, b, a, b, a, b] ->^0 [a, b, a, b, a, b, a, b, a, b, a, b] via steps infinite derivation starts at [[c], [c], [c]] pivot ^ 6 ************************************************** proof ************************************************** property Termination has value Just False for SRS [c, a, b, a, b, a, b, a, b, a] -> [ a , b , a , b , a , b , a , b , a , b , c , c , c , a ] {- Input 0 -} reason admits a non-terminating transport system with pivot [a, b, a, b, a, b, a, b, a, b] alphabet [[c], [a, b]] pivot represented as [[a, b], [a, b], [a, b], [a, b], [a, b]] derivations for transport system [c] [c] pivot ->^1 pivot [[c], [c], [c], [a, b]] because of derivation [c, a, b, a, b, a, b, a, b, a, b] ->^1 [a, b, a, b, a, b, a, b, a, b, c, c, c, a, b] via steps Step { rule = 0, position = 0} [a, b] [a, b] pivot ->^0 pivot [[a, b]] because of derivation [a, b, a, b, a, b, a, b, a, b, a, b] ->^0 [a, b, a, b, a, b, a, b, a, b, a, b] via steps infinite derivation starts at [[c], [c], [c]] pivot ^ 6 ************************************************** skeleton: (1,3)\Transport{}[] ************************************************** 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) ************************************************** Fail : Matrix { monotone = Weak , domain = Natural , shape = Full , bits = 4 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False} total number 2 max duration 0.831368623000 min duration 0.719444343000 total durat. 1.550812966000 Fail : QPI { dim = 2, bits = 3, solver = Minisatapi, tracing = False, verbose = False} total number 2 max duration 0.699110250000 min duration 0.513892181000 total durat. 1.213002431000 Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] : Simple (Config { tracing = False , verbose = False , closure = Forward , max_closure_length = Nothing , max_closure_width = Nothing , intermediates = All , priority = (Linear [ (1, Log2 Steps) , (-1, Width_lhs) , (-2, Log2 Width_rhs) ])}) total number 1 max duration 2.389704355000 min duration 2.389704355000 total durat. 2.389704355000 Info { what = Simple (Config { tracing = False , verbose = False , closure = Forward , max_closure_length = Nothing , max_closure_width = Nothing , intermediates = All , priority = (Linear [ (1, Log2 Steps) , (-1, Width_lhs) , (-2, Log2 Width_rhs) ])}) , input_size = Size { num_rules = 1 , num_strict_rules = 1 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 24} , self = 176 , parent = Just 0 , duration = 2.389704355000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 23:58:05.994186186 UTC , finish = 2021-07-13 23:58:08.383890541 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '4' ] , 1 , True )} Success : Tiling { method = Backward , width = 2 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} total number 6 max duration 0.994335911000 min duration 0.025989301000 total durat. 2.016584427000 Success : Tiling { method = Backward , width = 4 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} total number 4 max duration 0.906850286000 min duration 0.126339198000 total durat. 2.133695417000 Success : Tiling { method = Backward , width = 8 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} total number 1 max duration 1.673429220000 min duration 1.673429220000 total durat. 1.673429220000 Info { what = Tiling { method = Backward , width = 8 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} , input_size = Size { num_rules = 1 , num_strict_rules = 1 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 24} , self = 145 , parent = Just 0 , duration = 1.673429220000 , status = Success , start = 2021-07-13 23:58:05.996454675 UTC , finish = 2021-07-13 23:58:07.669883895 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '3' , '5' ] , 3 , True )} Success : Tiling { method = Forward , width = 2 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} total number 6 max duration 0.623993928000 min duration 0.029604194000 total durat. 1.578773050000 Success : Tiling { method = Forward , width = 4 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} total number 5 max duration 0.535245994000 min duration 0.092418206000 total durat. 1.696430647000 Success : Tiling { method = Forward , width = 8 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} total number 1 max duration 1.423682194000 min duration 1.423682194000 total durat. 1.423682194000 Info { what = Tiling { method = Forward , width = 8 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} , input_size = Size { num_rules = 1 , num_strict_rules = 1 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 24} , self = 130 , parent = Just 0 , duration = 1.423682194000 , status = Success , start = 2021-07-13 23:58:05.995991793 UTC , finish = 2021-07-13 23:58:07.419673987 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '0' , '9' ] , 3 , True )} Success : Tiling { method = Overlap , width = 2 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} total number 5 max duration 1.586008445000 min duration 0.200819330000 total durat. 4.374692057000 Info { what = Tiling { method = Overlap , width = 2 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} , input_size = Size { num_rules = 12 , num_strict_rules = 6 , num_top_rules = 6 , num_weak_rules = 6 , alphabet_size = 9 , total_length = 246} , self = 135 , parent = Just 58 , duration = 1.193642939000 , status = Success , start = 2021-07-13 23:58:06.27496378 UTC , finish = 2021-07-13 23:58:07.468606719 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '1' , '8' ] , 3 , True )} Info { what = Tiling { method = Overlap , width = 2 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} , input_size = Size { num_rules = 13 , num_strict_rules = 9 , num_top_rules = 9 , num_weak_rules = 4 , alphabet_size = 8 , total_length = 261} , self = 159 , parent = Just 86 , duration = 1.586008445000 , status = Success , start = 2021-07-13 23:58:06.633700767 UTC , finish = 2021-07-13 23:58:08.219709212 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '4' , '7' ] , 3 , True )} Success : Tiling { method = Overlap , width = 4 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} total number 2 max duration 0.913762273000 min duration 0.743681274000 total durat. 1.657443547000 Success : Transport { mode = Standard, max_derivation_length = Nothing} total number 1 max duration 2.389472289000 min duration 2.389472289000 total durat. 2.389472289000 Info { what = Transport { mode = Standard, max_derivation_length = Nothing} , input_size = Size { num_rules = 1 , num_strict_rules = 1 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 24} , self = 175 , parent = Just 0 , duration = 2.389472289000 , status = Success , start = 2021-07-13 23:58:05.994202417 UTC , finish = 2021-07-13 23:58:08.383674706 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '2' ] , 1 , True )} Fail : Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False} total number 31 max duration 0.358884062000 min duration 0.000087546000 total durat. 1.396455288000 **************************************************