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TRS Relative pair #487081834
details
property
value
status
complete
benchmark
relsubst.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
Mixed_relative_TRS
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0872461 seconds
cpu usage
0.042478
user time
0.025357
system time
0.017121
max virtual memory
113188.0
max residence set size
6828.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: o(lambda(x),y) -> lambda(o(x,d(1(),o(y,p())))) 2: o(d(x,y),z) -> d(o(x,z),o(y,z)) 3: o(o(x,y),z) -> o(x,o(y,z)) 4: lambda(x) -> x 5: o(x,y) -> x 6: o(x,y) -> y 7: d(x,y) -> x 8: d(x,y) -> y 9: o(x,y) ->= d(x,y) 10: o(x,y) ->= d(y,x) Number of strict rules: 8 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #o(d(x,y),z) -> #d(o(x,z),o(y,z)) #2: #o(d(x,y),z) -> #o(x,z) #3: #o(d(x,y),z) -> #o(y,z) #4: #o(x,y) ->? #d(x,y) #5: #o(x,y) ->? #d(y,x) #6: #o(o(x,y),z) -> #o(x,o(y,z)) #7: #o(o(x,y),z) -> #o(y,z) #8: #o(lambda(x),y) -> #lambda(o(x,d(1(),o(y,p())))) #9: #o(lambda(x),y) -> #o(x,d(1(),o(y,p()))) #10: #o(lambda(x),y) -> #d(1(),o(y,p())) #11: #o(lambda(x),y) -> #o(y,p()) Number of SCCs: 1, DPs: 6 SCC { #2 #3 #6 #7 #9 #11 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 1 w: 0 d w: max(x1, x2, 0) #lambda w: 0 lambda w: max(x1 + 2, 0) o w: max(x1 + x2, 0) p w: 0 #o w: max(x1 + x2 - 1, 0) #d w: 0 USABLE RULES: { 1..10 } Removed DPs: #9 #11 Number of SCCs: 1, DPs: 4 SCC { #2 #3 #6 #7 } POLO(Sum)... succeeded. 1 w: 1 d w: x1 + x2 + 8857 #lambda w: 0 lambda w: x1 + 34723 o w: x1 + x2 + 8856 p w: 20163 #o w: x1 #d w: 0 USABLE RULES: { } Removed DPs: #2 #3 #6 #7 Number of SCCs: 0, DPs: 0
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