details

property	value
status	complete
benchmark	AC50.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n171.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	NaTT
configuration	Default
runtime (wallclock)	0.0721259 seconds
cpu usage	0.02749
user time	0.010684
system time	0.016806
max virtual memory	113176.0
max residence set size	7224.0

stage attributes

key	value
starexec-result	YES

output

0.00/0.07 YES 0.00/0.07 Input TRS: 0.00/0.07 AC symbols: plus 0.00/0.07 1: app(nil(),k) -> k 0.00/0.07 2: app(l,nil()) -> l 0.00/0.07 3: app(cons(x,l),k) -> cons(x,app(l,k)) 0.00/0.07 4: sum(cons(x,nil())) -> cons(x,nil()) 0.00/0.07 5: sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) 0.00/0.07 6: sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) 0.00/0.07 7: sum(cons(0(),cons(plus(x,y),l))) -> pred(sum(cons(s(x),cons(y,l)))) 0.00/0.07 8: plus(0(),y) -> y 0.00/0.07 9: plus(s(x),y) -> s(plus(x,y)) 0.00/0.07 10: pred(cons(s(x),nil())) -> cons(x,nil()) 0.00/0.07 Number of strict rules: 10 0.00/0.07 Direct POLO(bPol) ... removes: 8 1 3 5 10 7 2 0.00/0.07 s w: x1 + 1 0.00/0.07 pred w: x1 + 1 0.00/0.07 sum w: x1 0.00/0.07 0 w: 1 0.00/0.07 nil w: 1 0.00/0.07 plus w: x1 + x2 + 1 0.00/0.07 cons w: 2 * x1 + x2 + 3 0.00/0.07 app w: 2 * x1 + 2 * x2 + 1 0.00/0.07 Number of strict rules: 3 0.00/0.07 Direct POLO(bPol) ... failed. 0.00/0.07 Uncurrying sum 0.00/0.07 AC symbols: plus 0.00/0.07 4: sum^1_cons(x,nil()) -> cons(x,nil()) 0.00/0.07 6: sum^1_app(l,cons(x,cons(y,k))) -> sum^1_app(l,sum^1_cons(x,cons(y,k))) 0.00/0.07 9: plus(s(x),y) -> s(plus(x,y)) 0.00/0.07 11: sum(cons(_1,_2)) ->= sum^1_cons(_1,_2) 0.00/0.07 12: sum(app(_1,_2)) ->= sum^1_app(_1,_2) 0.00/0.07 Number of strict rules: 3 0.00/0.07 Direct POLO(bPol) ... removes: 12 11 0.00/0.07 sum^1_app w: x1 + x2 0.00/0.07 s w: x1 0.00/0.07 sum^1_cons w: x1 + x2 + 1 0.00/0.07 pred w: x1 0.00/0.07 sum w: 2 * x1 + 1 0.00/0.07 0 w: 0 0.00/0.07 nil w: 1 0.00/0.07 plus w: x1 + x2 + 1 0.00/0.07 cons w: x1 + x2 + 1 0.00/0.07 app w: 2 * x1 + x2 + 1 0.00/0.07 Number of strict rules: 3 0.00/0.07 Direct POLO(bPol) ... removes: 4 6 0.00/0.07 sum^1_app w: x1 + x2 0.00/0.07 s w: x1 0.00/0.07 sum^1_cons w: x1 + x2 + 5 0.00/0.07 pred w: x1 0.00/0.07 sum w: 2 * x1 + 1 0.00/0.07 0 w: 0 0.00/0.07 nil w: 1 0.00/0.07 plus w: x1 + x2 + 1 0.00/0.07 cons w: x1 + 2 * x2 + 3 0.00/0.07 app w: 2 * x1 + x2 + 1 0.00/0.07 Number of strict rules: 1 0.00/0.07 Direct POLO(bPol) ... failed. 0.00/0.07 Dependency Pairs: 0.00/0.07 #1: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) 0.00/0.07 #2: #plus(x,plus(y,z)) ->= #plus(x,y) 0.00/0.07 #3: #plus(s(x),y) -> #plus(x,y) 0.00/0.07 Number of SCCs: 1, DPs: 3 0.00/0.07 SCC { #1..3 } 0.00/0.07 POLO(Sum)... succeeded. 0.00/0.07 sum^1_app w: 0 0.00/0.07 s w: x1 + 1 0.00/0.07 sum^1_cons w: 0 0.00/0.07 #plus w: x1 + x2 0.00/0.07 pred w: 0 0.00/0.07 sum w: 0 0.00/0.07 0 w: 0 0.00/0.07 nil w: 0 0.00/0.07 plus w: x1 + x2 + 1 0.00/0.07 cons w: 0 0.00/0.07 app w: 0 0.00/0.07 USABLE RULES: { 9 13 } 0.00/0.07 Removed DPs: #2 #3 0.00/0.07 Number of SCCs: 1, DPs: 1 0.00/0.07 SCC { #1 } 0.00/0.07 only weak rules. 0.00/0.07 Number of SCCs: 0, DPs: 0 0.00/0.07 Next Dependency Pairs: 0.00/0.07 #4: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) 0.00/0.07 #5: #plus(x,plus(y,z)) ->= #plus(x,y) 0.00/0.07 #6: #plus(plus(s(x),y),_1) -> #plus(s(plus(x,y)),_1) 0.00/0.07 Number of SCCs: 1, DPs: 3 0.00/0.07 SCC { #4..6 } 0.00/0.07 POLO(Sum)... succeeded. 0.00/0.07 sum^1_app w: 0 0.00/0.07 s w: 1 0.00/0.07 sum^1_cons w: 0 0.00/0.07 #plus w: x1 + x2 0.00/0.07 pred w: 0 0.00/0.07 sum w: 0 0.00/0.07 0 w: 0 0.00/0.07 nil w: 0 0.00/0.07 plus w: x1 + x2 + 1 0.00/0.07 cons w: 0 0.00/0.07 app w: 0 popout

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job log

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actions

all output return to TRS_Equational 2019-03-21 05.09