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TRS Standard pair #487069086
details
property
value
status
complete
benchmark
sigma.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n192.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.100549 seconds
cpu usage
0.044543
user time
0.022947
system time
0.021596
max virtual memory
113188.0
max residence set size
7700.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: comp(s,id()) -> s 2: cons(one(),shift()) -> id() 3: cons(comp(one(),s),comp(shift(),s)) -> s 4: comp(one(),cons(s,t)) -> s 5: comp(shift(),cons(s,t)) -> t 6: comp(abs(s),t) -> abs(comp(s,cons(one(),comp(t,shift())))) 7: comp(cons(s,t),u) -> cons(comp(s,u),comp(t,u)) 8: comp(id(),s) -> s 9: comp(comp(s,t),u) -> comp(s,comp(t,u)) Number of strict rules: 9 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #comp(abs(s),t) -> #comp(s,cons(one(),comp(t,shift()))) #2: #comp(abs(s),t) -> #cons(one(),comp(t,shift())) #3: #comp(abs(s),t) -> #comp(t,shift()) #4: #comp(comp(s,t),u) -> #comp(s,comp(t,u)) #5: #comp(comp(s,t),u) -> #comp(t,u) #6: #comp(cons(s,t),u) -> #cons(comp(s,u),comp(t,u)) #7: #comp(cons(s,t),u) -> #comp(s,u) #8: #comp(cons(s,t),u) -> #comp(t,u) Number of SCCs: 1, DPs: 6 SCC { #1 #3..5 #7 #8 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. #cons w: 0 one w: 0 abs w: max(x1 + 2, 0) #comp w: max(x1 + x2 - 1, 0) cons w: max(x1, x2, 0) id w: 0 shift w: 0 comp w: max(x1 + x2, 0) USABLE RULES: { 1..9 } Removed DPs: #1 #3 Number of SCCs: 1, DPs: 4 SCC { #4 #5 #7 #8 } POLO(Sum)... succeeded. #cons w: 0 one w: 1 abs w: x1 + 29604 #comp w: x1 cons w: x1 + x2 + 2438 id w: 43581 shift w: 41141 comp w: x1 + x2 + 11798 USABLE RULES: { } Removed DPs: #4 #5 #7 #8 Number of SCCs: 0, DPs: 0
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