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TRS Standard pair #487070841
details
property
value
status
complete
benchmark
Ex2_Luc03b_GM.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
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0627199 seconds
cpu usage
0.025745
user time
0.011993
system time
0.013752
max virtual memory
113188.0
max residence set size
7148.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: a__fst(0(),Z) -> nil() 2: a__fst(s(X),cons(Y,Z)) -> cons(mark(Y),fst(X,Z)) 3: a__from(X) -> cons(mark(X),from(s(X))) 4: a__add(0(),X) -> mark(X) 5: a__add(s(X),Y) -> s(add(X,Y)) 6: a__len(nil()) -> 0() 7: a__len(cons(X,Z)) -> s(len(Z)) 8: mark(fst(X1,X2)) -> a__fst(mark(X1),mark(X2)) 9: mark(from(X)) -> a__from(mark(X)) 10: mark(add(X1,X2)) -> a__add(mark(X1),mark(X2)) 11: mark(len(X)) -> a__len(mark(X)) 12: mark(0()) -> 0() 13: mark(s(X)) -> s(X) 14: mark(nil()) -> nil() 15: mark(cons(X1,X2)) -> cons(mark(X1),X2) 16: a__fst(X1,X2) -> fst(X1,X2) 17: a__from(X) -> from(X) 18: a__add(X1,X2) -> add(X1,X2) 19: a__len(X) -> len(X) Number of strict rules: 19 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a__fst(s(X),cons(Y,Z)) -> #mark(Y) #2: #mark(from(X)) -> #a__from(mark(X)) #3: #mark(from(X)) -> #mark(X) #4: #mark(len(X)) -> #a__len(mark(X)) #5: #mark(len(X)) -> #mark(X) #6: #mark(add(X1,X2)) -> #a__add(mark(X1),mark(X2)) #7: #mark(add(X1,X2)) -> #mark(X1) #8: #mark(add(X1,X2)) -> #mark(X2) #9: #a__from(X) -> #mark(X) #10: #mark(fst(X1,X2)) -> #a__fst(mark(X1),mark(X2)) #11: #mark(fst(X1,X2)) -> #mark(X1) #12: #mark(fst(X1,X2)) -> #mark(X2) #13: #mark(cons(X1,X2)) -> #mark(X1) #14: #a__add(0(),X) -> #mark(X) Number of SCCs: 1, DPs: 13 SCC { #1..3 #5..14 } POLO(Sum)... succeeded. #a__len w: 0 s w: 1 #a__from w: x1 + 1 a__from w: x1 + 2 #a__add w: x2 + 1 fst w: x1 + x2 + 1 a__add w: x1 + x2 + 11799 a__fst w: x1 + x2 + 1 #mark w: x1 0 w: 7183 from w: x1 + 2 nil w: 3267 mark w: x1 a__len w: x1 + 8366 cons w: x1 + 1 add w: x1 + x2 + 11799 #a__fst w: x2 len w: x1 + 8366 USABLE RULES: { 1..19 } Removed DPs: #1..3 #5..14 Number of SCCs: 0, DPs: 0
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