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TRS Standard pair #487073996
details
property
value
status
complete
benchmark
ack_prolog.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n178.star.cs.uiowa.edu
space
CiME_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.060254 seconds
cpu usage
0.028046
user time
0.01332
system time
0.014726
max virtual memory
113188.0
max residence set size
6664.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: ack_in(0(),n) -> ack_out(s(n)) 2: ack_in(s(m),0()) -> u11(ack_in(m,s(0()))) 3: u11(ack_out(n)) -> ack_out(n) 4: ack_in(s(m),s(n)) -> u21(ack_in(s(m),n),m) 5: u21(ack_out(n),m) -> u22(ack_in(m,n)) 6: u22(ack_out(n)) -> ack_out(n) Number of strict rules: 6 Direct POLO(bPol) ... failed. Uncurrying ack_in 1: ack_in^1_0(n) -> ack_out(s(n)) 2: ack_in^1_s(m,0()) -> u11(ack_in(m,s(0()))) 3: u11(ack_out(n)) -> ack_out(n) 4: ack_in^1_s(m,s(n)) -> u21(ack_in^1_s(m,n),m) 5: u21(ack_out(n),m) -> u22(ack_in(m,n)) 6: u22(ack_out(n)) -> ack_out(n) 7: ack_in(0(),_1) ->= ack_in^1_0(_1) 8: ack_in(s(_1),_2) ->= ack_in^1_s(_1,_2) Number of strict rules: 6 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #ack_in^1_s(m,0()) -> #u11(ack_in(m,s(0()))) #2: #ack_in^1_s(m,0()) -> #ack_in(m,s(0())) #3: #ack_in(0(),_1) ->? #ack_in^1_0(_1) #4: #u21(ack_out(n),m) -> #u22(ack_in(m,n)) #5: #u21(ack_out(n),m) -> #ack_in(m,n) #6: #ack_in(s(_1),_2) ->? #ack_in^1_s(_1,_2) #7: #ack_in^1_s(m,s(n)) -> #u21(ack_in^1_s(m,n),m) #8: #ack_in^1_s(m,s(n)) -> #ack_in^1_s(m,n) Number of SCCs: 1, DPs: 5 SCC { #2 #5..8 } POLO(Sum)... succeeded. #u22 w: 0 #ack_in^1_s w: x1 + 2 #ack_in w: x1 s w: x1 + 3 ack_in^1_0 w: x1 + 3 #u21 w: x2 + 1 ack_in^1_s w: x2 + 5 #u11 w: 0 0 w: 1 ack_out w: x1 + 1 u11 w: x1 + 6 u21 w: x1 + x2 + 4 #ack_in^1_0 w: 0 u22 w: 0 ack_in w: x1 + 1 USABLE RULES: { } Removed DPs: #2 #5..7 Number of SCCs: 1, DPs: 1 SCC { #8 } POLO(Sum)... succeeded. #u22 w: 0 #ack_in^1_s w: x2 + 2 #ack_in w: 0 s w: x1 + 3 ack_in^1_0 w: x1 + 3 #u21 w: 1 ack_in^1_s w: x2 + 5 #u11 w: 0 0 w: 1 ack_out w: x1 + 1 u11 w: x1 + 6 u21 w: x1 + x2 + 4 #ack_in^1_0 w: 0 u22 w: 0 ack_in w: x1 + 1 USABLE RULES: { } Removed DPs: #8 Number of SCCs: 0, DPs: 0
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