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TRS Standard pair #487071251
details
property
value
status
complete
benchmark
Ex3_2_Luc97_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.303643 seconds
cpu usage
0.085073
user time
0.049675
system time
0.035398
max virtual memory
113188.0
max residence set size
6344.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: a__dbl(0()) -> 0() 2: a__dbl(s(X)) -> s(s(dbl(X))) 3: a__dbls(nil()) -> nil() 4: a__dbls(cons(X,Y)) -> cons(dbl(X),dbls(Y)) 5: a__sel(0(),cons(X,Y)) -> mark(X) 6: a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z)) 7: a__indx(nil(),X) -> nil() 8: a__indx(cons(X,Y),Z) -> cons(sel(X,Z),indx(Y,Z)) 9: a__from(X) -> cons(X,from(s(X))) 10: mark(dbl(X)) -> a__dbl(mark(X)) 11: mark(dbls(X)) -> a__dbls(mark(X)) 12: mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2)) 13: mark(indx(X1,X2)) -> a__indx(mark(X1),X2) 14: mark(from(X)) -> a__from(X) 15: mark(0()) -> 0() 16: mark(s(X)) -> s(X) 17: mark(nil()) -> nil() 18: mark(cons(X1,X2)) -> cons(X1,X2) 19: a__dbl(X) -> dbl(X) 20: a__dbls(X) -> dbls(X) 21: a__sel(X1,X2) -> sel(X1,X2) 22: a__indx(X1,X2) -> indx(X1,X2) 23: a__from(X) -> from(X) Number of strict rules: 23 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a__sel(s(X),cons(Y,Z)) -> #a__sel(mark(X),mark(Z)) #2: #a__sel(s(X),cons(Y,Z)) -> #mark(X) #3: #a__sel(s(X),cons(Y,Z)) -> #mark(Z) #4: #mark(indx(X1,X2)) -> #a__indx(mark(X1),X2) #5: #mark(indx(X1,X2)) -> #mark(X1) #6: #mark(dbls(X)) -> #a__dbls(mark(X)) #7: #mark(dbls(X)) -> #mark(X) #8: #mark(sel(X1,X2)) -> #a__sel(mark(X1),mark(X2)) #9: #mark(sel(X1,X2)) -> #mark(X1) #10: #mark(sel(X1,X2)) -> #mark(X2) #11: #mark(from(X)) -> #a__from(X) #12: #mark(dbl(X)) -> #a__dbl(mark(X)) #13: #mark(dbl(X)) -> #mark(X) #14: #a__sel(0(),cons(X,Y)) -> #mark(X) Number of SCCs: 1, DPs: 10 SCC { #1..3 #5 #7..10 #13 #14 } POLO(Sum)... POLO(max)... succeeded. s w: x1 #a__from w: 0 dbls w: x1 + 282 a__indx w: max(x1 + 15945, x2 + 15944) a__from w: x1 + 5854 #a__indx w: 0 dbl w: x1 + 130 indx w: max(x1 + 15945, x2 + 15944) a__dbl w: x1 + 130 #a__dbls w: 0 #mark w: x1 + 26285 0 w: 48638 sel w: max(x1 + 15945, x2 + 10090) from w: x1 + 5854 nil w: 15945 #a__dbl w: 0 #a__sel w: max(x1 + 26286, x2 + 35232) mark w: x1 a__sel w: max(x1 + 15945, x2 + 10090) a__dbls w: x1 + 282 cons w: max(x1 + 5854, x2) USABLE RULES: { 1..23 } Removed DPs: #2 #3 #5 #7..10 #13 #14 Number of SCCs: 1, DPs: 1 SCC { #1 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. s s: [1] p: 2 w: x1 #a__from s: [] p: 0 w: 1 dbls s: [1] p: 4 w: x1 + 19455 a__indx s: [] p: 5 w: x2 + 19453 a__from s: [1] p: 4 w: x1 + 9728 #a__indx s: [] p: 0 w: x1 dbl s: [1] p: 3 w: x1 + 9727 indx s: [] p: 5 w: x2 + 19453 a__dbl s: [1] p: 3 w: x1 + 9727 #a__dbls s: 1 #mark s: [] p: 0 w: 1 0 s: [] p: 3 w: 1 sel s: [] p: 6 w: x2 + 9726 from s: [1] p: 4 w: x1 + 9728 nil s: [] p: 0 w: 0 #a__dbl s: [] p: 0 w: 1 #a__sel s: [1] p: 0 w: x1 mark s: 1 a__sel s: [] p: 6 w: x2 + 9726 a__dbls s: [1] p: 4 w: x1 + 19455 cons s: [1] p: 4 w: max(x1 + 9727, x2) USABLE RULES: { 1..23 } Removed DPs: #1 Number of SCCs: 0, DPs: 0
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