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TRS Standard pair #487073211
details
property
value
status
complete
benchmark
otto12.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n183.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.353258 seconds
cpu usage
0.078863
user time
0.045416
system time
0.033447
max virtual memory
113188.0
max residence set size
7088.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Input TRS: 1: plus(0(),x) -> x 2: plus(s(x),y) -> s(plus(x,y)) 3: times(0(),y) -> 0() 4: times(s(x),y) -> plus(y,times(x,y)) 5: exp(x,0()) -> s(0()) 6: exp(x,s(y)) -> times(x,exp(x,y)) 7: ge(x,0()) -> true() 8: ge(0(),s(x)) -> false() 9: ge(s(x),s(y)) -> ge(x,y) 10: tower(x,y) -> towerIter(0(),x,y,s(0())) 11: towerIter(c,x,y,z) -> help(ge(c,x),c,x,y,z) 12: help(true(),c,x,y,z) -> z 13: help(false(),c,x,y,z) -> towerIter(s(c),x,y,exp(y,z)) Number of strict rules: 13 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #plus(s(x),y) -> #plus(x,y) #2: #exp(x,s(y)) -> #times(x,exp(x,y)) #3: #exp(x,s(y)) -> #exp(x,y) #4: #help(false(),c,x,y,z) -> #towerIter(s(c),x,y,exp(y,z)) #5: #help(false(),c,x,y,z) -> #exp(y,z) #6: #ge(s(x),s(y)) -> #ge(x,y) #7: #towerIter(c,x,y,z) -> #help(ge(c,x),c,x,y,z) #8: #towerIter(c,x,y,z) -> #ge(c,x) #9: #tower(x,y) -> #towerIter(0(),x,y,s(0())) #10: #times(s(x),y) -> #plus(y,times(x,y)) #11: #times(s(x),y) -> #times(x,y) Number of SCCs: 5, DPs: 6 SCC { #3 } POLO(Sum)... succeeded. tower w: 0 s w: x1 + 1 #help w: 0 #plus w: 0 towerIter w: 0 false w: 0 #ge w: 0 #exp w: x2 true w: 0 #times w: 0 0 w: 0 ge w: 0 times w: 0 #tower w: 0 #towerIter w: 0 plus w: 0 exp w: 0 help w: 0 USABLE RULES: { } Removed DPs: #3 Number of SCCs: 4, DPs: 5 SCC { #11 } POLO(Sum)... succeeded. tower w: 0 s w: x1 + 1 #help w: 0 #plus w: 0 towerIter w: 0 false w: 0 #ge w: 0 #exp w: 0 true w: 0 #times w: x1 0 w: 0 ge w: 0 times w: 0 #tower w: 0 #towerIter w: 0 plus w: 0 exp w: 0 help w: 0 USABLE RULES: { } Removed DPs: #11 Number of SCCs: 3, DPs: 4 SCC { #1 } POLO(Sum)... succeeded. tower w: 0 s w: x1 + 1 #help w: 0 #plus w: x1 towerIter w: 0 false w: 0 #ge w: 0 #exp w: 0 true w: 0 #times w: 0 0 w: 0 ge w: 0 times w: 0 #tower w: 0 #towerIter w: 0 plus w: 0 exp w: 0 help w: 0 USABLE RULES: { } Removed DPs: #1 Number of SCCs: 2, DPs: 3
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