details

property	value
status	complete
benchmark	IJCAR_12.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n070.star.cs.uiowa.edu
space	AProVE_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.0534489 seconds
cpu usage	0.024476
user time	0.011529
system time	0.012947
max virtual memory	113188.0
max residence set size	5900.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: plus(x,0()) -> x 2: plus(0(),y) -> y 3: plus(s(x),y) -> s(plus(x,y)) 4: times(0(),y) -> 0() 5: times(s(0()),y) -> y 6: times(s(x),y) -> plus(y,times(x,y)) 7: div(0(),y) -> 0() 8: div(x,y) -> quot(x,y,y) 9: quot(0(),s(y),z) -> 0() 10: quot(s(x),s(y),z) -> quot(x,y,z) 11: quot(x,0(),s(z)) -> s(div(x,s(z))) 12: div(div(x,y),z) -> div(x,times(y,z)) Number of strict rules: 12 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #times(s(x),y) -> #plus(y,times(x,y)) #2: #times(s(x),y) -> #times(x,y) #3: #quot(x,0(),s(z)) -> #div(x,s(z)) #4: #div(div(x,y),z) -> #div(x,times(y,z)) #5: #div(div(x,y),z) -> #times(y,z) #6: #quot(s(x),s(y),z) -> #quot(x,y,z) #7: #plus(s(x),y) -> #plus(x,y) #8: #div(x,y) -> #quot(x,y,y) Number of SCCs: 3, DPs: 6 SCC { #2 } POLO(Sum)... succeeded. #div w: 0 s w: x1 + 1 #plus w: 0 div w: 0 #times w: x1 0 w: 0 quot w: 0 times w: 0 plus w: 0 #quot w: 0 USABLE RULES: { } Removed DPs: #2 Number of SCCs: 2, DPs: 5 SCC { #7 } POLO(Sum)... succeeded. #div w: 0 s w: x1 + 1 #plus w: x1 div w: 0 #times w: 0 0 w: 0 quot w: 0 times w: 0 plus w: 0 #quot w: 0 USABLE RULES: { } Removed DPs: #7 Number of SCCs: 1, DPs: 4 SCC { #3 #4 #6 #8 } POLO(Sum)... succeeded. #div w: x1 s w: x1 + 1 #plus w: 0 div w: x1 + x2 + 1 #times w: 0 0 w: 1 quot w: 0 times w: x1 + x2 + 1 plus w: x1 + 3 #quot w: x1 USABLE RULES: { } Removed DPs: #4 #6 Number of SCCs: 1, DPs: 2 SCC { #3 #8 } POLO(Sum)... POLO(max)... succeeded. #div w: max(x2 + 2) s w: 11798 #plus w: 0 div w: 0 #times w: 0 0 w: 11799 quot w: 0 times w: 0 plus w: 0 #quot w: max(x2 + 1) USABLE RULES: { } Removed DPs: #8 Number of SCCs: 0, DPs: 0 popout

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all output return to TRS Standard