details

property	value
status	complete
benchmark	Ex1_Luc04b_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n185.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.169128 seconds
cpu usage	0.026836
user time	0.012475
system time	0.014361
max virtual memory	113188.0
max residence set size	6624.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: a__nats() -> cons(0(),incr(nats())) 2: a__pairs() -> cons(0(),incr(odds())) 3: a__odds() -> a__incr(a__pairs()) 4: a__incr(cons(X,XS)) -> cons(s(mark(X)),incr(XS)) 5: a__head(cons(X,XS)) -> mark(X) 6: a__tail(cons(X,XS)) -> mark(XS) 7: mark(nats()) -> a__nats() 8: mark(incr(X)) -> a__incr(mark(X)) 9: mark(pairs()) -> a__pairs() 10: mark(odds()) -> a__odds() 11: mark(head(X)) -> a__head(mark(X)) 12: mark(tail(X)) -> a__tail(mark(X)) 13: mark(cons(X1,X2)) -> cons(mark(X1),X2) 14: mark(0()) -> 0() 15: mark(s(X)) -> s(mark(X)) 16: a__nats() -> nats() 17: a__incr(X) -> incr(X) 18: a__pairs() -> pairs() 19: a__odds() -> odds() 20: a__head(X) -> head(X) 21: a__tail(X) -> tail(X) Number of strict rules: 21 Direct POLO(bPol) ... removes: 5 6 incr w: x1 s w: x1 a__incr w: x1 pairs w: 21653 a__nats w: 24338 a__odds w: 21653 tail w: x1 + 27857 0 w: 0 odds w: 21653 mark w: x1 nats w: 24338 head w: 2 * x1 + 8405 cons w: x1 + x2 a__pairs w: 21653 a__tail w: x1 + 27857 a__head w: 2 * x1 + 8405 Number of strict rules: 19 Direct POLO(bPol) ... removes: 16 21 20 12 11 incr w: 2 * x1 s w: x1 a__incr w: 2 * x1 pairs w: 0 a__nats w: 45550 a__odds w: 0 tail w: 2 * x1 + 6813 0 w: 0 odds w: 0 mark w: 2 * x1 nats w: 22775 head w: 2 * x1 + 12064 cons w: x1 + x2 a__pairs w: 0 a__tail w: 2 * x1 + 6814 a__head w: 2 * x1 + 24127 Number of strict rules: 14 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #mark(cons(X1,X2)) -> #mark(X1) #2: #mark(pairs()) -> #a__pairs() #3: #mark(nats()) -> #a__nats() #4: #mark(odds()) -> #a__odds() #5: #a__odds() -> #a__incr(a__pairs()) #6: #a__odds() -> #a__pairs() #7: #mark(incr(X)) -> #a__incr(mark(X)) #8: #mark(incr(X)) -> #mark(X) #9: #mark(s(X)) -> #mark(X) #10: #a__incr(cons(X,XS)) -> #mark(X) Number of SCCs: 1, DPs: 7 SCC { #1 #4 #5 #7..10 } POLO(Sum)... succeeded. incr w: x1 + 2 s w: x1 + 1 a__incr w: x1 + 2 pairs w: 4 a__nats w: 4 #a__pairs w: 0 a__odds w: 6 tail w: 0 #mark w: x1 + 4 0 w: 3 odds w: 6 #a__nats w: 0 mark w: x1 + 1 nats w: 3 #a__incr w: x1 + 4 head w: 0 cons w: x1 + 1 #a__odds w: 9 a__pairs w: 4 a__tail w: 0 a__head w: 0 USABLE RULES: { 1..4 7..10 13..15 17..19 } Removed DPs: #1 #4 #5 #7..10 Number of SCCs: 0, DPs: 0 popout

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all output return to TRS Standard