/export/starexec/sandbox2/solver/bin/starexec_run_tc21-9.sh /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO ************************************************** summary ************************************************** SRS with 2 rules on 3 letters admits a non-terminating transport system with pivot [a, b, a, b] alphabet [[a, b], [c], [c, b]] pivot represented as [[a, b], [a, b]] derivations for transport system [c] [c] pivot ->^4 pivot [[c], [c, b]] because of derivation [c, a, b, a, b] ->^4 [a, b, a, b, c, c, b] via steps Step { rule = 0, position = 1} Step { rule = 0, position = 3} Step { rule = 1, position = 0} Step { rule = 0, position = 3} [a, b] [a, b] pivot ->^0 pivot [[a, b]] because of derivation [a, b, a, b, a, b] ->^0 [a, b, a, b, a, b] via steps [c, b] [c, b] pivot ->^3 pivot [[c], [c], [a, b]] because of derivation [c, b, a, b, a, b] ->^3 [a, b, a, b, c, c, a, b] via steps Step { rule = 0, position = 2} Step { rule = 1, position = 0} Step { rule = 0, position = 3} infinite derivation starts at [[c]] pivot ^ 7 ************************************************** proof ************************************************** property Termination has value Just False for SRS [a] -> [b] {- Input 0 -} [b, b, b, c] -> [c, c, a, a, b, a] {- Input 1 -} reason admits a non-terminating transport system with pivot [a, b, a, b] alphabet [[a, b], [c], [c, b]] pivot represented as [[a, b], [a, b]] derivations for transport system [c] [c] pivot ->^4 pivot [[c], [c, b]] because of derivation [c, a, b, a, b] ->^4 [a, b, a, b, c, c, b] via steps Step { rule = 0, position = 1} Step { rule = 0, position = 3} Step { rule = 1, position = 0} Step { rule = 0, position = 3} [a, b] [a, b] pivot ->^0 pivot [[a, b]] because of derivation [a, b, a, b, a, b] ->^0 [a, b, a, b, a, b] via steps [c, b] [c, b] pivot ->^3 pivot [[c], [c], [a, b]] because of derivation [c, b, a, b, a, b] ->^3 [a, b, a, b, c, c, a, b] via steps Step { rule = 0, position = 2} Step { rule = 1, position = 0} Step { rule = 0, position = 3} infinite derivation starts at [[c]] pivot ^ 7 ************************************************** skeleton: (2,3)\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 = Arctic , shape = Full , bits = 16 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False} total number 2 max duration 2.073398609000 min duration 1.381811699000 total durat. 3.455210308000 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 = 4 , num_strict_rules = 2 , num_top_rules = 2 , num_weak_rules = 2 , alphabet_size = 4 , total_length = 23} , self = 57 , parent = Just 12 , duration = 1.381811699000 , status = Fail , start = 2021-07-13 22:10:34.058168023 UTC , finish = 2021-07-13 22:10:35.439979722 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '7' , '4' ] , 0 , True )} 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 = 7 , num_strict_rules = 5 , num_top_rules = 5 , num_weak_rules = 2 , alphabet_size = 5 , total_length = 40} , self = 59 , parent = Just 20 , duration = 2.073398609000 , status = Fail , start = 2021-07-13 22:10:34.065341461 UTC , finish = 2021-07-13 22:10:36.13874007 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '5' , '2' ] , 0 , True )} Fail : QPI { dim = 4, bits = 3, solver = Minisatapi, tracing = False, verbose = False} total number 2 max duration 2.699359570000 min duration 1.586790826000 total durat. 4.286150396000 Info { what = QPI { dim = 4 , bits = 3 , solver = Minisatapi , tracing = False , verbose = False} , input_size = Size { num_rules = 4 , num_strict_rules = 2 , num_top_rules = 2 , num_weak_rules = 2 , alphabet_size = 4 , total_length = 23} , self = 58 , parent = Just 12 , duration = 1.586790826000 , status = Fail , start = 2021-07-13 22:10:34.403197489 UTC , finish = 2021-07-13 22:10:35.989988315 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '0' , '1' ] , 0 , True )} Info { what = QPI { dim = 4 , bits = 3 , solver = Minisatapi , tracing = False , verbose = False} , input_size = Size { num_rules = 7 , num_strict_rules = 5 , num_top_rules = 5 , num_weak_rules = 2 , alphabet_size = 5 , total_length = 40} , self = 65 , parent = Just 20 , duration = 2.699359570000 , status = Fail , start = 2021-07-13 22:10:34.586802948 UTC , finish = 2021-07-13 22:10:37.286162518 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '0' , '6' ] , 0 , True )} Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] : Simple (Config { tracing = False , verbose = False , closure = Backward , 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 4.945323983000 min duration 4.945323983000 total durat. 4.945323983000 Info { what = Simple (Config { tracing = False , verbose = False , closure = Backward , 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 = 2 , num_strict_rules = 2 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 12} , self = 74 , parent = Just 0 , duration = 4.945323983000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 22:10:34.056837662 UTC , finish = 2021-07-13 22:10:39.002161645 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '4' , '9' ] , 1 , True )} 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 4.945323605000 min duration 4.945323605000 total durat. 4.945323605000 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 = 2 , num_strict_rules = 2 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 12} , self = 73 , parent = Just 0 , duration = 4.945323605000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 22:10:34.056806665 UTC , finish = 2021-07-13 22:10:39.00213027 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '4' , '6' ] , 1 , True )} Fail : Tiling { method = Backward , width = 12 , 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 3.202963491000 min duration 3.202963491000 total durat. 3.202963491000 Info { what = Tiling { method = Backward , width = 12 , 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 = 2 , num_strict_rules = 2 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 12} , self = 64 , parent = Just 0 , duration = 3.202963491000 , status = Fail , start = 2021-07-13 22:10:34.05958824 UTC , finish = 2021-07-13 22:10:37.262551731 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '9' , '3' ] , 3 , True )} 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 1 max duration 2.793035905000 min duration 2.793035905000 total durat. 2.793035905000 Info { what = 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} , input_size = Size { num_rules = 2 , num_strict_rules = 2 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 12} , self = 60 , parent = Just 0 , duration = 2.793035905000 , status = Success , start = 2021-07-13 22:10:34.059500494 UTC , finish = 2021-07-13 22:10:36.852536399 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '8' , '9' ] , 3 , True )} 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 1 max duration 2.830605769000 min duration 2.830605769000 total durat. 2.830605769000 Info { what = 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} , input_size = Size { num_rules = 2 , num_strict_rules = 2 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 12} , self = 62 , parent = Just 0 , duration = 2.830605769000 , status = Success , start = 2021-07-13 22:10:34.059791143 UTC , finish = 2021-07-13 22:10:36.890396912 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '1' , '1' ] , 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 4 max duration 3.718070052000 min duration 0.134465800000 total durat. 7.704003115000 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 = 30 , num_strict_rules = 6 , num_top_rules = 6 , num_weak_rules = 24 , alphabet_size = 13 , total_length = 237} , self = 66 , parent = Just 39 , duration = 3.621708991000 , status = Success , start = 2021-07-13 22:10:34.364547832 UTC , finish = 2021-07-13 22:10:37.986256823 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '9' , '5' ] , 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 = 37 , num_strict_rules = 13 , num_top_rules = 13 , num_weak_rules = 24 , alphabet_size = 15 , total_length = 271} , self = 68 , parent = Just 47 , duration = 3.718070052000 , status = Success , start = 2021-07-13 22:10:34.602364861 UTC , finish = 2021-07-13 22:10:38.320434913 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '1' , '1' ] , 3 , True )} Success : Transport { mode = Standard, max_derivation_length = Nothing} total number 1 max duration 4.939532766000 min duration 4.939532766000 total durat. 4.939532766000 Info { what = Transport { mode = Standard, max_derivation_length = Nothing} , input_size = Size { num_rules = 2 , num_strict_rules = 2 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 12} , self = 72 , parent = Just 0 , duration = 4.939532766000 , status = Success , start = 2021-07-13 22:10:34.056857531 UTC , finish = 2021-07-13 22:10:38.996390297 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '5' , '2' ] , 1 , True )} Success : Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False} total number 6 max duration 3.930336493000 min duration 0.000892589000 total durat. 4.299152471000 Info { what = Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False} , input_size = Size { num_rules = 216 , num_strict_rules = 216 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 39 , total_length = 2160} , self = 70 , parent = Just 54 , duration = 3.930336493000 , status = Success , start = 2021-07-13 22:10:34.793435406 UTC , finish = 2021-07-13 22:10:38.723771899 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '1' , '7' ] , 3 , False )} **************************************************