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TRS Relative pair #487081705
details
property
value
status
complete
benchmark
#3.7_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.072701 seconds
cpu usage
0.027733
user time
0.007335
system time
0.020398
max virtual memory
113188.0
max residence set size
5884.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: half(0()) -> 0() 2: half(s(s(x))) -> s(half(x)) 3: log(s(0())) -> 0() 4: log(s(s(x))) -> s(log(s(half(x)))) 5: rand(x) ->= x 6: rand(x) ->= rand(s(x)) Number of strict rules: 4 Direct POLO(bPol) ... removes: 3 5 s w: x1 rand w: x1 + 28101 half w: x1 log w: x1 + 1 0 w: 5854 Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying log 1: half(0()) -> 0() 2: half(s(s(x))) -> s(half(x)) 4: log^1_s(s(x)) -> s(log^1_s(half(x))) 6: rand(x) ->= rand(s(x)) 7: log(s(_1)) ->= log^1_s(_1) Number of strict rules: 3 Direct POLO(bPol) ... removes: 7 s w: x1 rand w: x1 half w: x1 log w: x1 + 283 0 w: 20538 log^1_s w: x1 + 282 Number of strict rules: 3 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #half(s(s(x))) -> #half(x) #2: #log^1_s(s(x)) -> #log^1_s(half(x)) #3: #log^1_s(s(x)) -> #half(x) Number of SCCs: 2, DPs: 2 SCC { #2 } POLO(Sum)... succeeded. s w: x1 + 1 #log^1_s w: x1 #half w: 0 rand w: 0 half w: x1 log w: 0 0 w: 22248 log^1_s w: x1 + 40651 Removed DPs: #2 Number of SCCs: 1, DPs: 1 SCC { #1 } POLO(Sum)... succeeded. s w: x1 + 1 #log^1_s w: 0 #half w: x1 rand w: 0 half w: x1 log w: 0 0 w: 31755 log^1_s w: x1 + 33954 Removed DPs: #1 Number of SCCs: 0, DPs: 0
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