/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 3 rules on 2 letters DP SRS with 12 strict rules and 3 weak rules on 4 letters weights SRS with 2 strict rules and 3 weak rules on 4 letters EDG 2 sub-proofs 1 SRS with 1 strict rules and 3 weak rules on 3 letters remove some, by Config { method = Overlap,width = 4,unlabel = True} SRS with 0 strict rules and 3 weak rules on 2 letters no strict rules 2 SRS with 1 strict rules and 3 weak rules on 3 letters remove some, by Config { method = Overlap,width = 4,unlabel = True} SRS with 0 strict rules and 3 weak rules on 2 letters no strict rules ************************************************** proof ************************************************** property Termination has value Just True for SRS [a, a, b, a] -> [a, a, a, b] {- Input 0 -} [b, b, b, a] -> [a, a, a, b] {- Input 1 -} [b, a, a, b] -> [b, b, b, a] {- Input 2 -} reason DP property Termination has value Just True for SRS [a, a, b, a] ->= [a, a, a, b] {- DP Nontop (Input 0) -} [b, b, b, a] ->= [a, a, a, b] {- DP Nontop (Input 1) -} [b, a, a, b] ->= [b, b, b, a] {- DP Nontop (Input 2) -} [a#, a, b, a] |-> [a#, a, a, b] {- DP (Top 0) (Input 0) -} [a#, a, b, a] |-> [a#, a, b] {- DP (Top 1) (Input 0) -} [a#, a, b, a] |-> [a#, b] {- DP (Top 2) (Input 0) -} [a#, a, b, a] |-> [b#] {- DP (Top 3) (Input 0) -} [b#, a, a, b] |-> [a#] {- DP (Top 3) (Input 2) -} [b#, a, a, b] |-> [b#, a] {- DP (Top 2) (Input 2) -} [b#, a, a, b] |-> [b#, b, a] {- DP (Top 1) (Input 2) -} [b#, a, a, b] |-> [b#, b, b, a] {- DP (Top 0) (Input 2) -} [b#, b, b, a] |-> [a#, a, a, b] {- DP (Top 0) (Input 1) -} [b#, b, b, a] |-> [a#, a, b] {- DP (Top 1) (Input 1) -} [b#, b, b, a] |-> [a#, b] {- DP (Top 2) (Input 1) -} [b#, b, b, a] |-> [b#] {- DP (Top 3) (Input 1) -} reason (a, 2/1) (b, 2/1) (b#, 1/1) property Termination has value Just True for SRS [a, a, b, a] ->= [a, a, a, b] {- DP Nontop (Input 0) -} [b, b, b, a] ->= [a, a, a, b] {- DP Nontop (Input 1) -} [b, a, a, b] ->= [b, b, b, a] {- DP Nontop (Input 2) -} [a#, a, b, a] |-> [a#, a, a, b] {- DP (Top 0) (Input 0) -} [b#, a, a, b] |-> [b#, b, b, a] {- DP (Top 0) (Input 2) -} reason EDG property Termination has value Just True for SRS [a#, a, b, a] |-> [a#, a, a, b] {- DP (Top 0) (Input 0) -} [a, a, b, a] ->= [a, a, a, b] {- DP Nontop (Input 0) -} [b, b, b, a] ->= [a, a, a, b] {- DP Nontop (Input 1) -} [b, a, a, b] ->= [b, b, b, a] {- DP Nontop (Input 2) -} reason Tiling { method = Overlap, width = 4, state_type = Bit64, 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} steps 4 using 38 tiles remove some unmatched rules steps: 4 property Termination has value Just True for SRS [a, a, b, a] ->= [a, a, a, b] {- DP Nontop (Input 0) -} [b, b, b, a] ->= [a, a, a, b] {- DP Nontop (Input 1) -} [b, a, a, b] ->= [b, b, b, a] {- DP Nontop (Input 2) -} reason no strict rules property Termination has value Just True for SRS [b#, a, a, b] |-> [b#, b, b, a] {- DP (Top 0) (Input 2) -} [a, a, b, a] ->= [a, a, a, b] {- DP Nontop (Input 0) -} [b, b, b, a] ->= [a, a, a, b] {- DP Nontop (Input 1) -} [b, a, a, b] ->= [b, b, b, a] {- DP Nontop (Input 2) -} reason Tiling { method = Overlap, width = 4, state_type = Bit64, 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} steps 4 using 43 tiles remove some unmatched rules steps: 4 property Termination has value Just True for SRS [a, a, b, a] ->= [a, a, a, b] {- DP Nontop (Input 0) -} [b, b, b, a] ->= [a, a, a, b] {- DP Nontop (Input 1) -} [b, a, a, b] ->= [b, b, b, a] {- DP Nontop (Input 2) -} reason no strict rules ************************************************** skeleton: (3,2)\Deepee(12/3,4)\Weight(2/3,4)\EDG[(1/3,3)\TileRemoveROC{4}(0/3,2)[],(1/3,3)\TileRemoveROC{4}(0/3,2)[]] ************************************************** 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 3 max duration 0.624120000000 min duration 0.454367555000 total durat. 1.537605118000 Fail : QPI { dim = 2, bits = 3, solver = Minisatapi, tracing = False, verbose = False} total number 3 max duration 0.563968011000 min duration 0.392069291000 total durat. 1.365923014000 Fail : QPI { dim = 4, bits = 3, solver = Minisatapi, tracing = False, verbose = False} total number 2 max duration 1.184105641000 min duration 0.494290166000 total durat. 1.678395807000 Info { what = QPI { dim = 4 , bits = 3 , solver = Minisatapi , tracing = False , verbose = False} , input_size = Size { num_rules = 4 , num_strict_rules = 1 , num_top_rules = 1 , num_weak_rules = 3 , alphabet_size = 3 , total_length = 32} , self = 93 , parent = Just 14 , duration = 1.184105641000 , status = Fail , start = 2021-07-13 23:43:22.935298059 UTC , finish = 2021-07-13 23:43:24.1194037 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '6' , '8' ] , 0 , 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 2.196165052000 min duration 2.196165052000 total durat. 2.196165052000 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 = 3 , num_strict_rules = 3 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 2 , total_length = 24} , self = 78 , parent = Just 0 , duration = 2.196165052000 , status = Success , start = 2021-07-13 23:43:21.637063454 UTC , finish = 2021-07-13 23:43:23.833228506 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '4' , '4' ] , 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 2 max duration 1.146083891000 min duration 0.047364376000 total durat. 1.193448267000 Info { what = 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} , input_size = Size { num_rules = 24 , num_strict_rules = 24 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 8 , total_length = 240} , self = 70 , parent = Just 31 , duration = 1.146083891000 , status = Success , start = 2021-07-13 23:43:21.751462381 UTC , finish = 2021-07-13 23:43:22.897546272 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '8' , '5' ] , 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 2.384024852000 min duration 2.384024852000 total durat. 2.384024852000 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 = 3 , num_strict_rules = 3 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 2 , total_length = 24} , self = 82 , parent = Just 0 , duration = 2.384024852000 , status = Success , start = 2021-07-13 23:43:21.637040722 UTC , finish = 2021-07-13 23:43:24.021065574 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '3' , '6' ] , 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 1.567399374000 min duration 0.878911505000 total durat. 2.446310879000 Info { what = 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} , input_size = Size { num_rules = 4 , num_strict_rules = 1 , num_top_rules = 1 , num_weak_rules = 3 , alphabet_size = 3 , total_length = 32} , self = 88 , parent = Just 14 , duration = 1.567399374000 , status = Success , start = 2021-07-13 23:43:22.53076945 UTC , finish = 2021-07-13 23:43:24.098168824 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '5' , '8' ] , 3 , True )} Success : Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False} total number 8 max duration 1.358169320000 min duration 0.001301961000 total durat. 1.691886099000 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 = 27 , total_length = 2592} , self = 80 , parent = Just 54 , duration = 1.358169320000 , status = Success , start = 2021-07-13 23:43:22.511215966 UTC , finish = 2021-07-13 23:43:23.869385286 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '1' , '8' ] , 3 , False )} **************************************************