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TRS Standard pair #487070806
details
property
value
status
complete
benchmark
Ex26_Luc03b_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n180.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.13416 seconds
cpu usage
0.050673
user time
0.025346
system time
0.025327
max virtual memory
113188.0
max residence set size
6764.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: terms(N) -> cons(recip(sqr(N)),n__terms(s(N))) 2: sqr(0()) -> 0() 3: sqr(s(X)) -> s(n__add(sqr(activate(X)),dbl(activate(X)))) 4: dbl(0()) -> 0() 5: dbl(s(X)) -> s(n__s(n__dbl(activate(X)))) 6: add(0(),X) -> X 7: add(s(X),Y) -> s(n__add(activate(X),Y)) 8: first(0(),X) -> nil() 9: first(s(X),cons(Y,Z)) -> cons(Y,n__first(activate(X),activate(Z))) 10: terms(X) -> n__terms(X) 11: add(X1,X2) -> n__add(X1,X2) 12: s(X) -> n__s(X) 13: dbl(X) -> n__dbl(X) 14: first(X1,X2) -> n__first(X1,X2) 15: activate(n__terms(X)) -> terms(X) 16: activate(n__add(X1,X2)) -> add(X1,X2) 17: activate(n__s(X)) -> s(X) 18: activate(n__dbl(X)) -> dbl(X) 19: activate(n__first(X1,X2)) -> first(X1,X2) 20: activate(X) -> X Number of strict rules: 20 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #first(s(X),cons(Y,Z)) -> #activate(X) #2: #first(s(X),cons(Y,Z)) -> #activate(Z) #3: #add(s(X),Y) -> #s(n__add(activate(X),Y)) #4: #add(s(X),Y) -> #activate(X) #5: #dbl(s(X)) -> #s(n__s(n__dbl(activate(X)))) #6: #dbl(s(X)) -> #activate(X) #7: #activate(n__s(X)) -> #s(X) #8: #activate(n__first(X1,X2)) -> #first(X1,X2) #9: #activate(n__add(X1,X2)) -> #add(X1,X2) #10: #sqr(s(X)) -> #s(n__add(sqr(activate(X)),dbl(activate(X)))) #11: #sqr(s(X)) -> #sqr(activate(X)) #12: #sqr(s(X)) -> #activate(X) #13: #sqr(s(X)) -> #dbl(activate(X)) #14: #sqr(s(X)) -> #activate(X) #15: #terms(N) -> #sqr(N) #16: #terms(N) -> #s(N) #17: #activate(n__terms(X)) -> #terms(X) #18: #activate(n__dbl(X)) -> #dbl(X) Number of SCCs: 1, DPs: 13 SCC { #1 #2 #4 #6 #8 #9 #11..15 #17 #18 } POLO(Sum)... succeeded. s w: x1 + 1 n__first w: x1 + x2 + 1324 recip w: x1 activate w: x1 + 1 dbl w: x1 + 2242 #dbl w: x1 + 2240 #terms w: x1 + 2242 #activate w: x1 n__add w: x1 + x2 + 31328 n__s w: x1 #sqr w: x1 + 2241 n__dbl w: x1 + 2241 0 w: 1 #s w: 0 #first w: x1 + x2 nil w: 0 first w: x1 + x2 + 1325 n__terms w: x1 + 2243 cons w: x2 #add w: x1 add w: x1 + x2 + 31329 sqr w: x1 + 42004 terms w: x1 + 2244 USABLE RULES: { 1 4..20 } Removed DPs: #1 #2 #4 #6 #8 #9 #12..15 #17 #18 Number of SCCs: 1, DPs: 1 SCC { #11 } POLO(Sum)... POLO(max)... QLPOS... succeeded. s s: [1] p: 3 n__first s: 2 recip s: [] p: 2 activate s: [1] p: 1 dbl s: [1] p: 4 #dbl s: 1 #terms s: [] p: 0 #activate s: 1 n__add s: [2,1] p: 4 n__s s: [1] p: 3 #sqr s: 1 n__dbl s: [1] p: 4 0 s: [] p: 0 #s s: 1 #first s: 2 nil s: [] p: 0 first s: [2] p: 1 n__terms s: [] p: 2 cons s: 2 #add s: 2 add s: [2,1] p: 4 sqr s: [] p: 0 terms s: [] p: 2 USABLE RULES: { 1 4..20 } Removed DPs: #11
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