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TRS_Relative 2019-03-21 03.54 pair #429988540
details
property
value
status
complete
benchmark
#3.5_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n122.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.168748 seconds
cpu usage
0.076211
user time
0.058738
system time
0.017473
max virtual memory
113132.0
max residence set size
8860.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.16 YES 0.00/0.16 Input TRS: 0.00/0.16 1: le(0(),y) -> true() 0.00/0.16 2: le(s(x),0()) -> false() 0.00/0.16 3: le(s(x),s(y)) -> le(x,y) 0.00/0.16 4: minus(x,0()) -> x 0.00/0.16 5: minus(s(x),s(y)) -> minus(x,y) 0.00/0.16 6: mod(0(),y) -> 0() 0.00/0.16 7: mod(s(x),0()) -> 0() 0.00/0.16 8: mod(s(x),s(y)) -> if_mod(le(y,x),s(x),s(y)) 0.00/0.16 9: if_mod(true(),s(x),s(y)) -> mod(minus(x,y),s(y)) 0.00/0.16 10: if_mod(false(),s(x),s(y)) -> s(x) 0.00/0.16 11: rand(x) ->= x 0.00/0.16 12: rand(x) ->= rand(s(x)) 0.00/0.16 Number of strict rules: 10 0.00/0.16 Direct POLO(bPol) ... failed. 0.00/0.16 Uncurrying ... failed. 0.00/0.16 Dependency Pairs: 0.00/0.16 #1: #if_mod(true(),s(x),s(y)) -> #mod(minus(x,y),s(y)) 0.00/0.16 #2: #if_mod(true(),s(x),s(y)) -> #minus(x,y) 0.00/0.16 #3: #minus(s(x),s(y)) -> #minus(x,y) 0.00/0.16 #4: #le(s(x),s(y)) -> #le(x,y) 0.00/0.16 #5: #mod(s(x),s(y)) -> #if_mod(le(y,x),s(x),s(y)) 0.00/0.16 #6: #mod(s(x),s(y)) -> #le(y,x) 0.00/0.16 Number of SCCs: 3, DPs: 4 0.00/0.16 SCC { #4 } 0.00/0.16 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 0.00/0.16 le s: [] p: 4 w: 0 0.00/0.16 s s: [1] p: 5 w: x1 0.00/0.16 #le s: [2] p: 6 w: max(x1 + 2, x2 + 1) 0.00/0.16 minus s: [1] p: 1 w: max(x1) 0.00/0.16 mod s: [1] p: 2 w: max(x1) 0.00/0.16 false s: [] p: 4 w: 0 0.00/0.16 true s: [] p: 0 w: 0 0.00/0.16 rand s: [] p: 0 w: x1 + 1 0.00/0.16 if_mod s: [2,1] p: 1 w: max(x1, x2) 0.00/0.16 0 s: [] p: 3 w: 0 0.00/0.16 #minus s: [2,1] p: 0 w: max(x1 + 1, x2) 0.00/0.16 #mod s: [1] p: 0 w: max(x1) 0.00/0.16 #if_mod s: [1,3,2] p: 0 w: max(x1 + 1, x2, x3) 0.00/0.16 Removed DPs: #4 0.00/0.16 Number of SCCs: 2, DPs: 3 0.00/0.16 SCC { #3 } 0.00/0.16 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 0.00/0.16 le s: [] p: 4 w: 0 0.00/0.16 s s: [1] p: 5 w: x1 0.00/0.16 #le s: [2] p: 6 w: max(x1 + 2, x2 + 1) 0.00/0.16 minus s: [1] p: 1 w: max(x1) 0.00/0.16 mod s: [1] p: 2 w: max(x1) 0.00/0.16 false s: [] p: 4 w: 0 0.00/0.16 true s: [] p: 0 w: 0 0.00/0.16 rand s: [] p: 0 w: x1 + 1 0.00/0.16 if_mod s: [2,1] p: 1 w: max(x1, x2) 0.00/0.16 0 s: [] p: 3 w: 0 0.00/0.16 #minus s: [2] p: 0 w: max(x1 + 1, x2) 0.00/0.16 #mod s: [1] p: 0 w: max(x1) 0.00/0.16 #if_mod s: [1,3,2] p: 0 w: max(x1 + 1, x2, x3) 0.00/0.16 Removed DPs: #3 0.00/0.16 Number of SCCs: 1, DPs: 2 0.00/0.16 SCC { #1 #5 } 0.00/0.16 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 0.00/0.16 le s: [] p: 4 w: 0 0.00/0.16 s s: [1] p: 5 w: x1 0.00/0.16 #le s: [2] p: 6 w: max(x1 + 2, x2 + 1) 0.00/0.16 minus s: [1] p: 1 w: max(x1) 0.00/0.16 mod s: [1] p: 2 w: max(x1) 0.00/0.16 false s: [] p: 4 w: 0 0.00/0.16 true s: [] p: 0 w: 0 0.00/0.16 rand s: [] p: 0 w: x1 + 1 0.00/0.16 if_mod s: [2,1] p: 1 w: max(x1, x2) 0.00/0.16 0 s: [] p: 3 w: 0 0.00/0.16 #minus s: [2] p: 0 w: max(x1 + 1, x2) 0.00/0.16 #mod s: [1] p: 6 w: max(x1 + 1, x2 + 3) 0.00/0.16 #if_mod s: [2] p: 6 w: max(x1 + 2, x2 + 1, x3 + 3) 0.00/0.16 Removed DPs: #1 0.00/0.16 Number of SCCs: 0, DPs: 0 0.00/0.16 EOF
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