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TRS Relative pair #487081669
details
property
value
status
complete
benchmark
#3.6_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)
0.357349 seconds
cpu usage
0.103132
user time
0.067436
system time
0.035696
max virtual memory
113188.0
max residence set size
6328.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Input TRS: 1: le(0(),y) -> true() 2: le(s(x),0()) -> false() 3: le(s(x),s(y)) -> le(x,y) 4: pred(s(x)) -> x 5: minus(x,0()) -> x 6: minus(x,s(y)) -> pred(minus(x,y)) 7: gcd(0(),y) -> y 8: gcd(s(x),0()) -> s(x) 9: gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) 10: if_gcd(true(),s(x),s(y)) -> gcd(minus(x,y),s(y)) 11: if_gcd(false(),s(x),s(y)) -> gcd(minus(y,x),s(x)) 12: rand(x) ->= x 13: rand(x) ->= rand(s(x)) Number of strict rules: 11 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #minus(x,s(y)) -> #pred(minus(x,y)) #2: #minus(x,s(y)) -> #minus(x,y) #3: #gcd(s(x),s(y)) -> #if_gcd(le(y,x),s(x),s(y)) #4: #gcd(s(x),s(y)) -> #le(y,x) #5: #if_gcd(false(),s(x),s(y)) -> #gcd(minus(y,x),s(x)) #6: #if_gcd(false(),s(x),s(y)) -> #minus(y,x) #7: #if_gcd(true(),s(x),s(y)) -> #gcd(minus(x,y),s(y)) #8: #if_gcd(true(),s(x),s(y)) -> #minus(x,y) #9: #le(s(x),s(y)) -> #le(x,y) Number of SCCs: 3, DPs: 5 SCC { #2 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. le s: [1] p: 0 w: max(x1) s s: [1] p: 2 w: x1 #le s: [2,1] p: 0 w: max(x1 + 1, x2 + 1) minus s: [1] p: 2 w: max(x1) gcd s: [] p: 3 w: max(x1 + 7720, x2 + 7720) false s: [] p: 0 w: 0 true s: [] p: 1 w: 0 pred s: 1 rand s: [] p: 0 w: x1 + 1 0 s: [] p: 3 w: 0 #minus s: 2 #pred s: 1 if_gcd s: [] p: 3 w: max(x2 + 7720, x3 + 7720) #if_gcd s: [2,3,1] p: 0 w: max(x1 + 1, x2 + 1, x3 + 1) #gcd s: [2] p: 0 w: max(x2 + 1) Removed DPs: #2 Number of SCCs: 2, DPs: 4 SCC { #9 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. le s: [1] p: 0 w: max(x1) s s: [1] p: 2 w: x1 #le s: [2] p: 2 w: max(x1 + 2, x2 + 1) minus s: [1] p: 2 w: max(x1) gcd s: [] p: 3 w: max(x1 + 21239, x2 + 21239) false s: [] p: 0 w: 0 true s: [] p: 1 w: 0 pred s: 1 rand s: [] p: 0 w: x1 + 1 0 s: [] p: 3 w: 0 #minus s: 2 #pred s: 1 if_gcd s: [] p: 3 w: max(x2 + 21239, x3 + 21239) #if_gcd s: [2,3,1] p: 0 w: max(x1 + 1, x2 + 1, x3 + 1) #gcd s: [2] p: 0 w: max(x2 + 1) Removed DPs: #9 Number of SCCs: 1, DPs: 3 SCC { #3 #5 #7 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.
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