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TRS Relative pair #487081774
details
property
value
status
complete
benchmark
#3.48_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.124973 seconds
cpu usage
0.051672
user time
0.027145
system time
0.024527
max virtual memory
113188.0
max residence set size
9288.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: f(0()) -> true() 2: f(1()) -> false() 3: f(s(x)) -> f(x) 4: if(true(),s(x),s(y)) -> s(x) 5: if(false(),s(x),s(y)) -> s(y) 6: g(x,c(y)) -> c(g(x,y)) 7: g(x,c(y)) -> g(x,if(f(x),c(g(s(x),y)),c(y))) 8: rand(x) ->= x 9: rand(x) ->= rand(s(x)) Number of strict rules: 7 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #g(x,c(y)) -> #g(x,y) #2: #g(x,c(y)) -> #g(x,if(f(x),c(g(s(x),y)),c(y))) #3: #g(x,c(y)) -> #if(f(x),c(g(s(x),y)),c(y)) #4: #g(x,c(y)) -> #f(x) #5: #g(x,c(y)) -> #g(s(x),y) #6: #f(s(x)) -> #f(x) Number of SCCs: 2, DPs: 3 SCC { #6 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 1 s: [] p: 0 w: 0 s s: [1] p: 0 w: x1 false s: [] p: 3 w: 1 c s: [] p: 2 w: 1 true s: [] p: 3 w: 1 f s: [] p: 2 w: 2 rand s: [] p: 0 w: x1 + 1 0 s: [] p: 0 w: 0 if s: [1] p: 1 w: max(x1 + 1, x2 + 1, x3 + 1) #f s: [1] p: 0 w: x1 + 1 #g s: [1,2] p: 0 w: max(x1 + 1, x2 + 1) #if s: 2 g s: [] p: 2 w: max(x1 + 32289) Removed DPs: #6 Number of SCCs: 1, DPs: 2 SCC { #1 #5 } POLO(Sum)... succeeded. 1 w: 1 s w: 0 false w: 1 c w: x1 + 1 true w: 1 f w: 1 rand w: x1 0 w: 1 if w: 1 #f w: 0 #g w: x2 #if w: 0 g w: x2 + 11293 Removed DPs: #1 #5 Number of SCCs: 0, DPs: 0
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