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TRS Relative pair #487081651
details
property
value
status
complete
benchmark
#3.53_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.312118 seconds
cpu usage
0.112025
user time
0.068061
system time
0.043964
max virtual memory
113188.0
max residence set size
6288.0
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: app(nil(),y) -> y 6: app(add(n,x),y) -> add(n,app(x,y)) 7: reverse(nil()) -> nil() 8: reverse(add(n,x)) -> app(reverse(x),add(n,nil())) 9: shuffle(nil()) -> nil() 10: shuffle(add(n,x)) -> add(n,shuffle(reverse(x))) 11: concat(leaf(),y) -> y 12: concat(cons(u,v),y) -> cons(u,concat(v,y)) 13: less_leaves(x,leaf()) -> false() 14: less_leaves(leaf(),cons(w,z)) -> true() 15: less_leaves(cons(u,v),cons(w,z)) -> less_leaves(concat(u,v),concat(w,z)) 16: rand(x) ->= x 17: rand(x) ->= rand(s(x)) Number of strict rules: 15 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #minus(s(x),s(y)) -> #minus(x,y) #2: #app(add(n,x),y) -> #app(x,y) #3: #concat(cons(u,v),y) -> #concat(v,y) #4: #shuffle(add(n,x)) -> #shuffle(reverse(x)) #5: #shuffle(add(n,x)) -> #reverse(x) #6: #reverse(add(n,x)) -> #app(reverse(x),add(n,nil())) #7: #reverse(add(n,x)) -> #reverse(x) #8: #less_leaves(cons(u,v),cons(w,z)) -> #less_leaves(concat(u,v),concat(w,z)) #9: #less_leaves(cons(u,v),cons(w,z)) -> #concat(u,v) #10: #less_leaves(cons(u,v),cons(w,z)) -> #concat(w,z) #11: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y)) #12: #quot(s(x),s(y)) -> #minus(x,y) Number of SCCs: 7, DPs: 7 SCC { #7 } POLO(Sum)... succeeded. s w: x1 #reverse w: x1 minus w: x1 + 1 #less_leaves w: 0 #concat w: 0 false w: 0 reverse w: x1 true w: 0 rand w: x1 shuffle w: x1 + 33954 concat w: x1 + x2 + 1 0 w: 1 quot w: 1 less_leaves w: x1 + x2 nil w: 0 #app w: 0 #minus w: 0 #shuffle w: 0 cons w: x1 + x2 + 10451 add w: x2 + 30613 #quot w: 0 leaf w: 1 app w: x1 + x2 Removed DPs: #7 Number of SCCs: 6, DPs: 6 SCC { #4 } POLO(Sum)... succeeded. s w: x1 #reverse w: 0 minus w: x1 + 1 #less_leaves w: 0 #concat w: 0 false w: 0 reverse w: x1 true w: 0 rand w: x1 shuffle w: x1 + 20819 concat w: x1 + x2 + 1 0 w: 1 quot w: 1 less_leaves w: x1 + x2 nil w: 0 #app w: 0 #minus w: 0 #shuffle w: x1 cons w: x1 + x2 + 10451 add w: x2 + 30613 #quot w: 0 leaf w: 1 app w: x1 + x2 Removed DPs: #4 Number of SCCs: 5, DPs: 5 SCC { #1 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. s s: [1] p: 0 w: x1 #reverse s: [] p: 0 w: 1 minus s: 1 #less_leaves s: 2 #concat s: [] p: 0 w: 0 false s: [] p: 1 w: 3 reverse s: [] p: 1 w: 3 true s: [] p: 2 w: 6
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