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TRS Standard pair #487072516
details
property
value
status
complete
benchmark
parting01_reverse.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n189.star.cs.uiowa.edu
space
AProVE_08
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.255211 seconds
cpu usage
0.05783
user time
0.038361
system time
0.019469
max virtual memory
113188.0
max residence set size
7192.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Input TRS: 1: last(nil()) -> 0() 2: last(cons(x,nil())) -> x 3: last(cons(x,cons(y,xs))) -> last(cons(y,xs)) 4: del(x,nil()) -> nil() 5: del(x,cons(y,xs)) -> if(eq(x,y),x,y,xs) 6: if(true(),x,y,xs) -> xs 7: if(false(),x,y,xs) -> cons(y,del(x,xs)) 8: eq(0(),0()) -> true() 9: eq(0(),s(y)) -> false() 10: eq(s(x),0()) -> false() 11: eq(s(x),s(y)) -> eq(x,y) 12: reverse(nil()) -> nil() 13: reverse(cons(x,xs)) -> cons(last(cons(x,xs)),reverse(del(last(cons(x,xs)),cons(x,xs)))) Number of strict rules: 13 Direct POLO(bPol) ... failed. Uncurrying last 1: last^1_nil() -> 0() 2: last^1_cons(x,nil()) -> x 3: last^1_cons(x,cons(y,xs)) -> last^1_cons(y,xs) 4: del(x,nil()) -> nil() 5: del(x,cons(y,xs)) -> if(eq(x,y),x,y,xs) 6: if(true(),x,y,xs) -> xs 7: if(false(),x,y,xs) -> cons(y,del(x,xs)) 8: eq(0(),0()) -> true() 9: eq(0(),s(y)) -> false() 10: eq(s(x),0()) -> false() 11: eq(s(x),s(y)) -> eq(x,y) 12: reverse(nil()) -> nil() 13: reverse(cons(x,xs)) -> cons(last^1_cons(x,xs),reverse(del(last^1_cons(x,xs),cons(x,xs)))) 14: last(cons(_1,_2)) ->= last^1_cons(_1,_2) 15: last(nil()) ->= last^1_nil() Number of strict rules: 13 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #reverse(cons(x,xs)) -> #last^1_cons(x,xs) #2: #reverse(cons(x,xs)) -> #reverse(del(last^1_cons(x,xs),cons(x,xs))) #3: #reverse(cons(x,xs)) -> #del(last^1_cons(x,xs),cons(x,xs)) #4: #reverse(cons(x,xs)) -> #last^1_cons(x,xs) #5: #eq(s(x),s(y)) -> #eq(x,y) #6: #last(cons(_1,_2)) ->? #last^1_cons(_1,_2) #7: #if(false(),x,y,xs) -> #del(x,xs) #8: #del(x,cons(y,xs)) -> #if(eq(x,y),x,y,xs) #9: #del(x,cons(y,xs)) -> #eq(x,y) #10: #last^1_cons(x,cons(y,xs)) -> #last^1_cons(y,xs) #11: #last(nil()) ->? #last^1_nil() Number of SCCs: 4, DPs: 5 SCC { #5 } POLO(Sum)... succeeded. #del w: 0 s w: x1 + 1 #reverse w: 0 eq w: 0 false w: 0 reverse w: 0 last^1_nil w: 0 true w: 0 #last w: 0 #eq w: x1 + x2 #last^1_nil w: 0 0 w: 0 if w: 0 del w: 0 #last^1_cons w: 0 last w: 0 nil w: 0 last^1_cons w: 0 cons w: 0 #if w: 0 USABLE RULES: { } Removed DPs: #5 Number of SCCs: 3, DPs: 4 SCC { #10 } POLO(Sum)... succeeded. #del w: 0 s w: 1 #reverse w: 0 eq w: 0 false w: 0 reverse w: 0 last^1_nil w: 0 true w: 0 #last w: 0 #eq w: 0 #last^1_nil w: 0 0 w: 0 if w: 0 del w: 0 #last^1_cons w: x2 last w: 0 nil w: 0 last^1_cons w: 0 cons w: x2 + 1 #if w: 0 USABLE RULES: { } Removed DPs: #10 Number of SCCs: 2, DPs: 3 SCC { #2 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
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