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TRS Standard pair #487068936
details
property
value
status
complete
benchmark
tower.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
AProVE_06
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0749509 seconds
cpu usage
0.034081
user time
0.017269
system time
0.016812
max virtual memory
113188.0
max residence set size
7760.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: plus(0(),x) -> x 2: plus(s(x),y) -> s(plus(p(s(x)),y)) 3: times(0(),y) -> 0() 4: times(s(x),y) -> plus(y,times(p(s(x)),y)) 5: exp(x,0()) -> s(0()) 6: exp(x,s(y)) -> times(x,exp(x,y)) 7: p(s(0())) -> 0() 8: p(s(s(x))) -> s(p(s(x))) 9: tower(x,y) -> towerIter(x,y,s(0())) 10: towerIter(0(),y,z) -> z 11: towerIter(s(x),y,z) -> towerIter(p(s(x)),y,exp(y,z)) Number of strict rules: 11 Direct POLO(bPol) ... failed. Uncurrying p 1: plus(0(),x) -> x 2: plus(s(x),y) -> s(plus(p^1_s(x),y)) 3: times(0(),y) -> 0() 4: times(s(x),y) -> plus(y,times(p^1_s(x),y)) 5: exp(x,0()) -> s(0()) 6: exp(x,s(y)) -> times(x,exp(x,y)) 7: p^1_s(0()) -> 0() 8: p^1_s(s(x)) -> s(p^1_s(x)) 9: tower(x,y) -> towerIter(x,y,s(0())) 10: towerIter(0(),y,z) -> z 11: towerIter(s(x),y,z) -> towerIter(p^1_s(x),y,exp(y,z)) 12: p(s(_1)) ->= p^1_s(_1) Number of strict rules: 11 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #plus(s(x),y) -> #plus(p^1_s(x),y) #2: #plus(s(x),y) -> #p^1_s(x) #3: #exp(x,s(y)) -> #times(x,exp(x,y)) #4: #exp(x,s(y)) -> #exp(x,y) #5: #tower(x,y) -> #towerIter(x,y,s(0())) #6: #towerIter(s(x),y,z) -> #towerIter(p^1_s(x),y,exp(y,z)) #7: #towerIter(s(x),y,z) -> #p^1_s(x) #8: #towerIter(s(x),y,z) -> #exp(y,z) #9: #p(s(_1)) ->? #p^1_s(_1) #10: #p^1_s(s(x)) -> #p^1_s(x) #11: #times(s(x),y) -> #plus(y,times(p^1_s(x),y)) #12: #times(s(x),y) -> #times(p^1_s(x),y) #13: #times(s(x),y) -> #p^1_s(x) Number of SCCs: 5, DPs: 5 SCC { #10 } POLO(Sum)... succeeded. tower w: 0 s w: x1 + 1 #p^1_s w: x1 #plus w: 0 towerIter w: 0 p^1_s w: 0 #exp w: 0 #p w: 0 p w: 0 #times w: 0 0 w: 0 times w: 0 #tower w: 0 #towerIter w: 0 plus w: 0 exp w: 0 USABLE RULES: { } Removed DPs: #10 Number of SCCs: 4, DPs: 4 SCC { #4 } POLO(Sum)... succeeded. tower w: 0 s w: x1 + 1 #p^1_s w: 0 #plus w: 0 towerIter w: 0 p^1_s w: 0 #exp w: x2 #p w: 0 p w: 0 #times w: 0 0 w: 0 times w: 0 #tower w: 0 #towerIter w: 0 plus w: 0 exp w: 0 USABLE RULES: { } Removed DPs: #4 Number of SCCs: 3, DPs: 3 SCC { #12 } POLO(Sum)... succeeded. tower w: 0 s w: x1 + 2 #p^1_s w: 0 #plus w: 0 towerIter w: 0 p^1_s w: x1 + 1 #exp w: 0 #p w: 0 p w: 0 #times w: x1 0 w: 1
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