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TRS Relative pair #487081768
details
property
value
status
complete
benchmark
#3.57_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.261272 seconds
cpu usage
0.103496
user time
0.057026
system time
0.04647
max virtual memory
113188.0
max residence set size
6836.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: minus(x,0()) -> x 2: minus(s(x),s(y)) -> minus(x,y) 3: quot(0(),s(y)) -> 0() 4: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) 5: plus(0(),y) -> y 6: plus(s(x),y) -> s(plus(x,y)) 7: minus(minus(x,y),z) -> minus(x,plus(y,z)) 8: app(nil(),k) -> k 9: app(l,nil()) -> l 10: app(cons(x,l),k) -> cons(x,app(l,k)) 11: sum(cons(x,nil())) -> cons(x,nil()) 12: sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) 13: sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) 14: rand(x) ->= x 15: rand(x) ->= rand(s(x)) Number of strict rules: 13 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #minus(s(x),s(y)) -> #minus(x,y) #2: #plus(s(x),y) -> #plus(x,y) #3: #sum(app(l,cons(x,cons(y,k)))) -> #sum(app(l,sum(cons(x,cons(y,k))))) #4: #sum(app(l,cons(x,cons(y,k)))) -> #app(l,sum(cons(x,cons(y,k)))) #5: #sum(app(l,cons(x,cons(y,k)))) -> #sum(cons(x,cons(y,k))) #6: #sum(cons(x,cons(y,l))) -> #sum(cons(plus(x,y),l)) #7: #sum(cons(x,cons(y,l))) -> #plus(x,y) #8: #minus(minus(x,y),z) -> #minus(x,plus(y,z)) #9: #minus(minus(x,y),z) -> #plus(y,z) #10: #app(cons(x,l),k) -> #app(l,k) #11: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y)) #12: #quot(s(x),s(y)) -> #minus(x,y) Number of SCCs: 6, DPs: 7 SCC { #2 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. s s: [1] p: 0 w: x1 minus s: 1 #plus s: 1 rand s: [] p: 0 w: x1 + 1 sum s: [] p: 2 w: 20904 0 s: [] p: 1 w: 1 quot s: [1] p: 1 w: max(x1 + 40651) nil s: [] p: 1 w: 20904 #app s: [2] p: 0 w: x2 + 1 #minus s: 1 plus s: [1,2] p: 1 w: max(x1 + 10452, x2 + 10453) cons s: [] p: 0 w: 10451 #quot s: [2,1] p: 0 w: max(x1 + 1, x2 + 1) #sum s: [] p: 0 w: 1 app s: [2,1] p: 0 w: x1 + x2 + 10452 Removed DPs: #2 Number of SCCs: 5, DPs: 6 SCC { #10 } POLO(Sum)... succeeded. s w: x1 minus w: x1 + 1 #plus w: 0 rand w: x1 sum w: x1 0 w: 1 quot w: 1 nil w: 32286 #app w: x1 #minus w: 0 plus w: x2 + 1 cons w: x1 + x2 + 1 #quot w: 0 #sum w: 0 app w: x1 + x2 + 20163 Removed DPs: #10 Number of SCCs: 4, DPs: 5 SCC { #11 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. s s: [1] p: 0 w: x1 minus s: 1 #plus s: 1 rand s: [] p: 0 w: x1 + 1 sum s: [] p: 2 w: 26757 0 s: [] p: 1 w: 1 quot s: [1] p: 1 w: max(x1 + 40651) nil s: [] p: 1 w: 26757 #app s: [2] p: 0 w: x2 + 1 #minus s: 1 plus s: [1,2] p: 1 w: max(x1 + 10452, x2 + 10453) cons s: [] p: 0 w: 10451 #quot s: [1] p: 0 w: max(x1 + 28101) #sum s: [] p: 0 w: 1 app s: [2,1] p: 0 w: x1 + x2 + 10452 Removed DPs: #11 Number of SCCs: 3, DPs: 4 SCC { #6 } POLO(Sum)... succeeded. s w: x1 minus w: x1 + 1 #plus w: 0 rand w: x1 sum w: x1 0 w: 1 quot w: 1
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