details

property	value
status	complete
benchmark	secret3.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n074.star.cs.uiowa.edu
space	Secret_07_TRS

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.05546 seconds
cpu usage	0.032209
user time	0.01685
system time	0.015359
max virtual memory	113188.0
max residence set size	9284.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: app(nil(),k) -> k 2: app(l,nil()) -> l 3: app(cons(x,l),k) -> cons(x,app(l,k)) 4: sum(cons(x,nil())) -> cons(x,nil()) 5: sum(cons(x,cons(y,l))) -> sum(cons(a(x,y,h()),l)) 6: a(h(),h(),x) -> s(x) 7: a(x,s(y),h()) -> a(x,y,s(h())) 8: a(x,s(y),s(z)) -> a(x,y,a(x,s(y),z)) 9: a(s(x),h(),z) -> a(x,z,z) Number of strict rules: 9 Direct POLO(bPol) ... failed. Uncurrying sum 1: app(nil(),k) -> k 2: app(l,nil()) -> l 3: app(cons(x,l),k) -> cons(x,app(l,k)) 4: sum^1_cons(x,nil()) -> cons(x,nil()) 5: sum^1_cons(x,cons(y,l)) -> sum^1_cons(a(x,y,h()),l) 6: a(h(),h(),x) -> s(x) 7: a(x,s(y),h()) -> a(x,y,s(h())) 8: a(x,s(y),s(z)) -> a(x,y,a(x,s(y),z)) 9: a(s(x),h(),z) -> a(x,z,z) 10: sum(cons(_1,_2)) ->= sum^1_cons(_1,_2) Number of strict rules: 9 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #a(s(x),h(),z) -> #a(x,z,z) #2: #a(x,s(y),h()) -> #a(x,y,s(h())) #3: #sum(cons(_1,_2)) ->? #sum^1_cons(_1,_2) #4: #sum^1_cons(x,cons(y,l)) -> #sum^1_cons(a(x,y,h()),l) #5: #sum^1_cons(x,cons(y,l)) -> #a(x,y,h()) #6: #app(cons(x,l),k) -> #app(l,k) #7: #a(x,s(y),s(z)) -> #a(x,y,a(x,s(y),z)) #8: #a(x,s(y),s(z)) -> #a(x,s(y),z) Number of SCCs: 3, DPs: 6 SCC { #6 } POLO(Sum)... succeeded. a w: 0 h w: 0 s w: 0 sum^1_cons w: 0 sum w: 0 nil w: 0 #sum^1_cons w: 0 #app w: x1 cons w: x2 + 1 #a w: 0 #sum w: 0 app w: 0 USABLE RULES: { } Removed DPs: #6 Number of SCCs: 2, DPs: 5 SCC { #4 } POLO(Sum)... succeeded. a w: x1 + x2 + 1 h w: 1 s w: x1 + 4 sum^1_cons w: 0 sum w: 0 nil w: 0 #sum^1_cons w: x2 #app w: 0 cons w: x1 + x2 + 1 #a w: 0 #sum w: 0 app w: 0 USABLE RULES: { } Removed DPs: #4 Number of SCCs: 1, DPs: 4 SCC { #1 #2 #7 #8 } POLO(Sum)... succeeded. a w: x1 + x2 + 1 h w: 1 s w: x1 + 4 sum^1_cons w: 0 sum w: 0 nil w: 0 #sum^1_cons w: 0 #app w: 0 cons w: 1 #a w: x1 #sum w: 0 app w: 0 USABLE RULES: { } Removed DPs: #1 Number of SCCs: 1, DPs: 3 SCC { #2 #7 #8 } POLO(Sum)... succeeded. a w: x1 + x2 + 1 h w: 1 s w: x1 + 4 sum^1_cons w: 0 sum w: 0 nil w: 0 #sum^1_cons w: 0 #app w: 0 cons w: 1 #a w: x2 #sum w: 0 popout

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

job log

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actions

all output return to TRS Standard