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TRS Standard pair #487068821
details
property
value
status
complete
benchmark
LPAR_intlist.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n173.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.146933 seconds
cpu usage
0.026624
user time
0.011198
system time
0.015426
max virtual memory
113188.0
max residence set size
9276.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: intlist(nil()) -> nil() 2: int(s(x),0()) -> nil() 3: int(x,x) -> cons(x,nil()) 4: intlist(cons(x,y)) -> cons(s(x),intlist(y)) 5: int(s(x),s(y)) -> intlist(int(x,y)) 6: int(0(),s(y)) -> cons(0(),int(s(0()),s(y))) 7: intlist(cons(x,nil())) -> cons(s(x),nil()) Number of strict rules: 7 Direct POLO(bPol) ... removes: 3 2 s w: x1 0 w: 0 nil w: 14681 intlist w: x1 int w: x1 + x2 + 14682 cons w: x1 + x2 Number of strict rules: 5 Direct POLO(bPol) ... failed. Uncurrying int 1: intlist(nil()) -> nil() 4: intlist(cons(x,y)) -> cons(s(x),intlist(y)) 5: int^1_s(x,s(y)) -> intlist(int(x,y)) 6: int^1_0(s(y)) -> cons(0(),int^1_s(0(),s(y))) 7: intlist(cons(x,nil())) -> cons(s(x),nil()) 8: int(0(),_1) ->= int^1_0(_1) 9: int(s(_1),_2) ->= int^1_s(_1,_2) Number of strict rules: 5 Direct POLO(bPol) ... removes: 1 7 int^1_0 w: x1 s w: 2 * x1 0 w: 0 nil w: 7630 intlist w: 2 * x1 int w: x1 + x2 cons w: x1 + x2 int^1_s w: 2 * x1 + x2 Number of strict rules: 3 Direct POLO(bPol) ... removes: 9 int^1_0 w: 2 * x1 + 16760 s w: 2 * x1 + 16760 0 w: 0 nil w: 1184 intlist w: 2 * x1 int w: x1 + 2 * x2 + 16760 cons w: x1 + x2 + 16760 int^1_s w: 2 * x1 + 2 * x2 Number of strict rules: 3 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #int^1_0(s(y)) -> #int^1_s(0(),s(y)) #2: #int^1_s(x,s(y)) -> #intlist(int(x,y)) #3: #int^1_s(x,s(y)) -> #int(x,y) #4: #int(0(),_1) ->? #int^1_0(_1) #5: #intlist(cons(x,y)) -> #intlist(y) Number of SCCs: 2, DPs: 4 SCC { #5 } POLO(Sum)... succeeded. int^1_0 w: 0 #intlist w: x1 s w: 0 0 w: 0 nil w: 0 intlist w: 0 #int^1_0 w: 0 int w: 0 cons w: x2 + 1 int^1_s w: 0 #int^1_s w: 0 #int w: 0 USABLE RULES: { } Removed DPs: #5 Number of SCCs: 1, DPs: 3 SCC { #1 #3 #4 } POLO(Sum)... succeeded. int^1_0 w: 0 #intlist w: 0 s w: x1 + 3 0 w: 1 nil w: 0 intlist w: 0 #int^1_0 w: x1 + 1 int w: 0 cons w: 1 int^1_s w: 0 #int^1_s w: x2 #int w: x2 + 2 USABLE RULES: { } Removed DPs: #1 #3 #4 Number of SCCs: 0, DPs: 0
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