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TRS Equational pair #487092691
details
property
value
status
complete
benchmark
AC24.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0810369 seconds
cpu usage
0.049273
user time
0.028862
system time
0.020411
max virtual memory
113188.0
max residence set size
9308.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Input TRS: AC symbols: plus times 1: 0(S()) -> S() 2: plus(S(),x) -> x 3: plus(0(x),0(y)) -> 0(plus(x,y)) 4: plus(0(x),1(y)) -> 1(plus(x,y)) 5: plus(1(x),1(y)) -> 0(plus(x,plus(y,1(S())))) 6: times(S(),x) -> S() 7: times(0(x),y) -> 0(times(x,y)) 8: times(1(x),y) -> plus(0(times(x,y)),y) Number of strict rules: 8 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) #2: #plus(x,plus(y,z)) ->= #plus(x,y) #3: #times(0(x),y) -> #0(times(x,y)) #4: #times(0(x),y) -> #times(x,y) #5: #times(x,times(y,z)) ->= #times(times(x,y),z) #6: #times(x,times(y,z)) ->= #times(x,y) #7: #plus(1(x),1(y)) -> #0(plus(x,plus(y,1(S())))) #8: #plus(1(x),1(y)) -> #plus(x,plus(y,1(S()))) #9: #plus(1(x),1(y)) -> #plus(y,1(S())) #10: #plus(0(x),0(y)) -> #0(plus(x,y)) #11: #plus(0(x),0(y)) -> #plus(x,y) #12: #times(1(x),y) -> #plus(0(times(x,y)),y) #13: #times(1(x),y) -> #0(times(x,y)) #14: #times(1(x),y) -> #times(x,y) #15: #plus(0(x),1(y)) -> #plus(x,y) Number of SCCs: 2, DPs: 10 SCC { #4..6 #14 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. #0 w: max(x1 - 1, 0) 1 w: max(x1, 0) S w: 0 #plus w: 0 #times w: max(x1 + x2 + 1, 0) 0 w: max(x1, 0) times w: max(x1 + x2 + 39, 0) plus w: max(x1, x2, 0) USABLE RULES: { 1..10 } Removed DPs: #6 Number of SCCs: 2, DPs: 9 SCC { #4 #5 #14 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.
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