details

property	value
status	complete
benchmark	YWHM14_4.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.0399099 seconds
cpu usage	0.022667
user time	0.014521
system time	0.008146
max virtual memory	113188.0
max residence set size	9240.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: AC symbols: ac1 ac2 1: ac1(a(),ac2(b(),c())) -> ac1(b(),f(ac2(a(),c()))) 2: ac2(a(),ac1(b(),c())) -> ac2(b(),f(ac1(a(),c()))) Number of strict rules: 2 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #ac2(a(),ac1(b(),c())) -> #ac2(b(),f(ac1(a(),c()))) #2: #ac2(a(),ac1(b(),c())) -> #ac1(a(),c()) #3: #ac1(x,ac1(y,z)) ->= #ac1(ac1(x,y),z) #4: #ac1(x,ac1(y,z)) ->= #ac1(x,y) #5: #ac1(a(),ac2(b(),c())) -> #ac1(b(),f(ac2(a(),c()))) #6: #ac1(a(),ac2(b(),c())) -> #ac2(a(),c()) #7: #ac2(x,ac2(y,z)) ->= #ac2(ac2(x,y),z) #8: #ac2(x,ac2(y,z)) ->= #ac2(x,y) Number of SCCs: 1, DPs: 8 SCC { #1..8 } POLO(Sum)... succeeded. a w: 8857 #ac1 w: x1 + x2 b w: 1 c w: 0 f w: x1 + 8855 ac1 w: x1 + x2 + 1 ac2 w: 2439 #ac2 w: 11295 USABLE RULES: { 1..4 } Removed DPs: #2 #4..6 Number of SCCs: 2, DPs: 4 SCC { #3 } only weak rules. Number of SCCs: 1, DPs: 3 SCC { #1 #7 #8 } POLO(Sum)... succeeded. a w: 0 #ac1 w: x1 + x2 b w: 2 c w: 1 f w: 2 ac1 w: x1 + x2 + 2 ac2 w: x1 + x2 + 1 #ac2 w: x1 + x2 + 11295 USABLE RULES: { 1..4 } Removed DPs: #1 #8 Number of SCCs: 1, DPs: 1 SCC { #7 } only weak rules. Number of SCCs: 0, DPs: 0 Next Dependency Pairs: #9: #ac2(ac2(a(),ac1(b(),c())),_1) -> #ac2(ac2(b(),f(ac1(a(),c()))),_1) #10: #ac1(x,ac1(y,z)) ->= #ac1(ac1(x,y),z) #11: #ac1(x,ac1(y,z)) ->= #ac1(x,y) #12: #ac1(ac1(a(),ac2(b(),c())),_1) -> #ac1(ac1(b(),f(ac2(a(),c()))),_1) #13: #ac2(x,ac2(y,z)) ->= #ac2(ac2(x,y),z) #14: #ac2(x,ac2(y,z)) ->= #ac2(x,y) Number of SCCs: 2, DPs: 6 SCC { #9 #13 #14 } POLO(Sum)... succeeded. a w: 1 #ac1 w: x1 + x2 b w: 1 c w: 0 f w: 1 ac1 w: x1 + x2 + 1 ac2 w: x1 + x2 + 4 #ac2 w: x1 + x2 + 11295 USABLE RULES: { 1..4 } Removed DPs: #9 #14 Number of SCCs: 2, DPs: 4 SCC { #13 } only weak rules. Number of SCCs: 1, DPs: 3 SCC { #10..12 } POLO(Sum)... succeeded. a w: 0 #ac1 w: x1 + x2 b w: 2 c w: 1 f w: 0 ac1 w: x1 + x2 + 32279 ac2 w: x1 + x2 + 9725 #ac2 w: x1 + x2 + 11295 USABLE RULES: { 1..4 } Removed DPs: #11 #12 Number of SCCs: 1, DPs: 1 SCC { #10 } only weak rules. Number of SCCs: 0, DPs: 0 popout

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all output return to TRS Equational