details

property	value
status	complete
benchmark	AC02.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n137.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.0271299 seconds
cpu usage	0.021291
user time	0.005307
system time	0.015984
max virtual memory	113188.0
max residence set size	6948.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: AC symbols: plus 1: plus(x,0()) -> x 2: plus(x,s(y)) -> s(plus(x,y)) 3: double(x) -> plus(x,x) Number of strict rules: 3 Direct POLO(bPol) ... removes: 1 3 s w: x1 0 w: 1 double w: 2 * x1 + 1 plus w: x1 + x2 Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #plus(x,s(y)) -> #plus(x,y) #2: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) #3: #plus(x,plus(y,z)) ->= #plus(x,y) Number of SCCs: 1, DPs: 3 SCC { #1..3 } POLO(Sum)... succeeded. s w: x1 + 1 #plus w: x1 + x2 0 w: 0 double w: 0 plus w: x1 + x2 + 39 USABLE RULES: { 2 4 } Removed DPs: #1 #3 Number of SCCs: 1, DPs: 1 SCC { #2 } only weak rules. Number of SCCs: 0, DPs: 0 Next Dependency Pairs: #4: #plus(plus(x,s(y)),_1) -> #plus(s(plus(x,y)),_1) #5: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) #6: #plus(x,plus(y,z)) ->= #plus(x,y) Number of SCCs: 1, DPs: 3 SCC { #4..6 } POLO(Sum)... succeeded. s w: 11293 #plus w: x1 + x2 0 w: 0 double w: 0 plus w: x1 + x2 + 1 USABLE RULES: { 2 4 } Removed DPs: #4 #6 Number of SCCs: 1, DPs: 1 SCC { #5 } only weak rules. Number of SCCs: 0, DPs: 0 popout

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job log

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actions

all output return to TRS Equational