details

property	value
status	complete
benchmark	factorial1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n180.star.cs.uiowa.edu
space	AProVE_06

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.0625579 seconds
cpu usage	0.029234
user time	0.013686
system time	0.015548
max virtual memory	113188.0
max residence set size	6260.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: plus(0(),x) -> x 2: plus(s(x),y) -> s(plus(p(s(x)),y)) 3: times(0(),y) -> 0() 4: times(s(x),y) -> plus(y,times(p(s(x)),y)) 5: p(s(0())) -> 0() 6: p(s(s(x))) -> s(p(s(x))) 7: fac(0(),x) -> x 8: fac(s(x),y) -> fac(p(s(x)),times(s(x),y)) 9: factorial(x) -> fac(x,s(0())) Number of strict rules: 9 Direct POLO(bPol) ... failed. Uncurrying times p 1: plus(0(),x) -> x 2: plus(s(x),y) -> s(plus(p^1_s(x),y)) 3: times^1_0(y) -> 0() 4: times^1_s(x,y) -> plus(y,times(p^1_s(x),y)) 5: p^1_s(0()) -> 0() 6: p^1_s(s(x)) -> s(p^1_s(x)) 7: fac(0(),x) -> x 8: fac(s(x),y) -> fac(p^1_s(x),times^1_s(x,y)) 9: factorial(x) -> fac(x,s(0())) 10: p(s(_1)) ->= p^1_s(_1) 11: times(0(),_1) ->= times^1_0(_1) 12: times(s(_1),_2) ->= times^1_s(_1,_2) Number of strict rules: 9 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #plus(s(x),y) -> #plus(p^1_s(x),y) #2: #plus(s(x),y) -> #p^1_s(x) #3: #p^1_s(s(x)) -> #p^1_s(x) #4: #factorial(x) -> #fac(x,s(0())) #5: #times(0(),_1) ->? #times^1_0(_1) #6: #times(s(_1),_2) ->? #times^1_s(_1,_2) #7: #p(s(_1)) ->? #p^1_s(_1) #8: #fac(s(x),y) -> #fac(p^1_s(x),times^1_s(x,y)) #9: #fac(s(x),y) -> #p^1_s(x) #10: #fac(s(x),y) -> #times^1_s(x,y) #11: #times^1_s(x,y) -> #plus(y,times(p^1_s(x),y)) #12: #times^1_s(x,y) -> #times(p^1_s(x),y) #13: #times^1_s(x,y) -> #p^1_s(x) Number of SCCs: 4, DPs: 5 SCC { #3 } POLO(Sum)... succeeded. times^1_s w: 0 s w: x1 + 1 #p^1_s w: x1 #fac w: 0 #plus w: 0 p^1_s w: 0 #p w: 0 times^1_0 w: 0 p w: 0 #times w: 0 0 w: 0 times w: 0 fac w: 0 #times^1_0 w: 0 plus w: 0 factorial w: 0 #factorial w: 0 #times^1_s w: 0 USABLE RULES: { } Removed DPs: #3 Number of SCCs: 3, DPs: 4 SCC { #1 } POLO(Sum)... succeeded. times^1_s w: 0 s w: x1 + 2 #p^1_s w: 0 #fac w: 0 #plus w: x1 p^1_s w: x1 + 1 #p w: 0 times^1_0 w: 0 p w: 0 #times w: 0 0 w: 23676 times w: 0 fac w: 0 #times^1_0 w: 0 plus w: 0 factorial w: 0 #factorial w: 0 #times^1_s w: 0 USABLE RULES: { 5 6 } Removed DPs: #1 Number of SCCs: 2, DPs: 3 SCC { #8 } POLO(Sum)... succeeded. times^1_s w: 3 s w: x1 + 2 #p^1_s w: 0 #fac w: x1 #plus w: x1 p^1_s w: x1 + 1 #p w: 0 times^1_0 w: x1 + 8945 p w: 0 popout

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all output return to TRS Standard