details

property	value
status	complete
benchmark	rta1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n179.star.cs.uiowa.edu
space	AProVE_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.053456 seconds
cpu usage	0.023571
user time	0.011826
system time	0.011745
max virtual memory	113188.0
max residence set size	6244.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: plus(s(s(x)),y) -> s(plus(x,s(y))) 2: plus(x,s(s(y))) -> s(plus(s(x),y)) 3: plus(s(0()),y) -> s(y) 4: plus(0(),y) -> y 5: ack(0(),y) -> s(y) 6: ack(s(x),0()) -> ack(x,s(0())) 7: ack(s(x),s(y)) -> ack(x,plus(y,ack(s(x),y))) Number of strict rules: 7 Direct POLO(bPol) ... failed. Uncurrying ack 1: plus(s(s(x)),y) -> s(plus(x,s(y))) 2: plus(x,s(s(y))) -> s(plus(s(x),y)) 3: plus(s(0()),y) -> s(y) 4: plus(0(),y) -> y 5: ack^1_0(y) -> s(y) 6: ack^1_s(x,0()) -> ack(x,s(0())) 7: ack^1_s(x,s(y)) -> ack(x,plus(y,ack^1_s(x,y))) 8: ack(0(),_1) ->= ack^1_0(_1) 9: ack(s(_1),_2) ->= ack^1_s(_1,_2) Number of strict rules: 7 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #plus(x,s(s(y))) -> #plus(s(x),y) #2: #ack^1_s(x,0()) -> #ack(x,s(0())) #3: #ack(s(_1),_2) ->? #ack^1_s(_1,_2) #4: #ack^1_s(x,s(y)) -> #ack(x,plus(y,ack^1_s(x,y))) #5: #ack^1_s(x,s(y)) -> #plus(y,ack^1_s(x,y)) #6: #ack^1_s(x,s(y)) -> #ack^1_s(x,y) #7: #plus(s(s(x)),y) -> #plus(x,s(y)) #8: #ack(0(),_1) ->? #ack^1_0(_1) Number of SCCs: 2, DPs: 6 SCC { #1 #7 } POLO(Sum)... succeeded. s w: x1 + 1 #ack^1_s w: 0 #ack^1_0 w: 0 ack w: 0 #plus w: x1 + x2 0 w: 0 ack^1_0 w: 0 plus w: 0 #ack w: 0 ack^1_s w: 0 USABLE RULES: { } Removed DPs: #1 #7 Number of SCCs: 1, DPs: 4 SCC { #2..4 #6 } POLO(Sum)... succeeded. s w: x1 + 21241 #ack^1_s w: x1 + 1 #ack^1_0 w: 0 ack w: x1 + x2 #plus w: 0 0 w: 21239 ack^1_0 w: 21240 plus w: x1 + x2 + 21242 #ack w: x1 ack^1_s w: x2 + 2 USABLE RULES: { } Removed DPs: #2..4 Number of SCCs: 1, DPs: 1 SCC { #6 } POLO(Sum)... succeeded. s w: x1 + 21241 #ack^1_s w: x2 + 1 #ack^1_0 w: 0 ack w: x1 + x2 #plus w: 0 0 w: 21239 ack^1_0 w: 21240 plus w: x1 + x2 + 29607 #ack w: 0 ack^1_s w: x2 + 2 USABLE RULES: { } Removed DPs: #6 Number of SCCs: 0, DPs: 0 popout

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

job log

popout

actions

all output return to TRS Standard