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TRS Relative pair #487081699
details
property
value
status
complete
benchmark
#3.8a_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)
0.16448 seconds
cpu usage
0.0535
user time
0.030728
system time
0.022772
max virtual memory
113188.0
max residence set size
5988.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: pred(s(x)) -> x 2: minus(x,0()) -> x 3: minus(x,s(y)) -> pred(minus(x,y)) 4: quot(0(),s(y)) -> 0() 5: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) 6: log(s(0())) -> 0() 7: log(s(s(x))) -> s(log(s(quot(x,s(s(0())))))) 8: rand(x) ->= x 9: rand(x) ->= rand(s(x)) Number of strict rules: 7 Direct POLO(bPol) ... failed. Uncurrying log 1: pred(s(x)) -> x 2: minus(x,0()) -> x 3: minus(x,s(y)) -> pred(minus(x,y)) 4: quot(0(),s(y)) -> 0() 5: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) 6: log^1_s(0()) -> 0() 7: log^1_s(s(x)) -> s(log^1_s(quot(x,s(s(0()))))) 8: rand(x) ->= x 9: rand(x) ->= rand(s(x)) 10: log(s(_1)) ->= log^1_s(_1) Number of strict rules: 7 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #log^1_s(s(x)) -> #log^1_s(quot(x,s(s(0())))) #2: #log^1_s(s(x)) -> #quot(x,s(s(0()))) #3: #log(s(_1)) ->? #log^1_s(_1) #4: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y)) #5: #quot(s(x),s(y)) -> #minus(x,y) #6: #minus(x,s(y)) -> #pred(minus(x,y)) #7: #minus(x,s(y)) -> #minus(x,y) Number of SCCs: 3, DPs: 3 SCC { #7 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. s s: [1] p: 1 w: x1 minus s: 1 #log^1_s s: 1 #log s: [] p: 0 w: 1 pred s: 1 rand s: [] p: 0 w: x1 + 1 log s: [1] p: 1 w: x1 + 1 0 s: [] p: 2 w: 11293 quot s: 1 #minus s: [1,2] p: 2 w: max(x1 + 1, x2 + 2) #pred s: [] p: 0 w: 1 #quot s: [2] p: 0 w: max(x2 + 1) log^1_s s: 1 Removed DPs: #7 Number of SCCs: 2, DPs: 2 SCC { #1 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. s s: [1] p: 1 w: x1 minus s: 1 #log^1_s s: 1 #log s: [] p: 0 w: 1 pred s: 1 rand s: [] p: 0 w: x1 + 1 log s: [1] p: 2 w: x1 + 10452 0 s: [] p: 2 w: 40651 quot s: 1 #minus s: [1,2] p: 2 w: max(x1 + 1, x2 + 2) #pred s: [] p: 0 w: 1 #quot s: [2] p: 0 w: max(x2 + 1) log^1_s s: [1] p: 2 w: x1 + 10451 Removed DPs: #1 Number of SCCs: 1, DPs: 1 SCC { #4 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. s s: [1] p: 1 w: x1 minus s: 1 #log^1_s s: 1 #log s: [] p: 0 w: 1 pred s: 1 rand s: [] p: 0 w: x1 + 1 log s: [1] p: 2 w: x1 + 2 0 s: [] p: 2 w: 1 quot s: 1 #minus s: [1,2] p: 2 w: max(x1 + 1, x2 + 2) #pred s: [] p: 0 w: 1 #quot s: [1,2] p: 2 w: max(x1 + 1, x2 + 1) log^1_s s: [1] p: 2 w: x1 + 1 Removed DPs: #4 Number of SCCs: 0, DPs: 0
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