details

property	value
status	complete
benchmark	AC01.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	AProVE_AC_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.035263 seconds
cpu usage	0.018288
user time	0.006878
system time	0.01141
max virtual memory	0.0
max residence set size	6116.0

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)) Number of strict rules: 2 Direct POLO(bPol) ... removes: 1 s w: x1 0 w: 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 plus w: x1 + x2 + 39 USABLE RULES: { 2 3 } 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: 20653 #plus w: x1 + x2 0 w: 0 plus w: x1 + x2 + 1 USABLE RULES: { 2 3 } Removed DPs: #4 #6 Number of SCCs: 1, DPs: 1 SCC { #5 } only weak rules. Number of SCCs: 0, DPs: 0 popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Equational