details

property	value
status	complete
benchmark	Ex1_Luc04b_iGM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n070.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	4.46647 seconds
cpu usage	13.3562
user time	11.2164
system time	2.13977
max virtual memory	2041504.0
max residence set size	172388.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: active(nats()) -> mark(cons(0(),incr(nats()))) active(pairs()) -> mark(cons(0(),incr(odds()))) active(odds()) -> mark(incr(pairs())) active(incr(cons(X,XS))) -> mark(cons(s(X),incr(XS))) active(head(cons(X,XS))) -> mark(X) active(tail(cons(X,XS))) -> mark(XS) mark(nats()) -> active(nats()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(incr(X)) -> active(incr(mark(X))) mark(pairs()) -> active(pairs()) mark(odds()) -> active(odds()) mark(s(X)) -> active(s(mark(X))) mark(head(X)) -> active(head(mark(X))) mark(tail(X)) -> active(tail(mark(X))) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) incr(mark(X)) -> incr(X) incr(active(X)) -> incr(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) head(mark(X)) -> head(X) head(active(X)) -> head(X) tail(mark(X)) -> tail(X) tail(active(X)) -> tail(X) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 1 0] [1 0 0] [cons](x0, x1) = [0 0 0]x0 + [0 1 0]x1 [0 0 0] [0 0 0] , [1 0 0] [s](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [active](x0) = [0 1 0]x0 [0 0 0] , [1 1 0] [incr](x0) = [0 0 0]x0 [1 0 0] , [1 0 0] [mark](x0) = [0 1 0]x0 [0 0 0] , [1 0 0] [1] [tail](x0) = [0 1 0]x0 + [0] [0 0 0] [0], [1] [nats] = [0] [0], [1] [odds] = [0] [0], [1 1 0] [head](x0) = [1 0 0]x0 [0 0 0] , [1] [pairs] = [0] [0], [0] [0] = [0] [0] orientation: [1] [1] active(nats()) = [0] >= [0] = mark(cons(0(),incr(nats()))) [0] [0] [1] [1] active(pairs()) = [0] >= [0] = mark(cons(0(),incr(odds()))) [0] [0] [1] [1] active(odds()) = [0] >= [0] = mark(incr(pairs())) [0] [0] [1 1 0] [1 1 0] [1 0 0] [1 1 0] active(incr(cons(X,XS))) = [0 0 0]X + [0 0 0]XS >= [0 0 0]X + [0 0 0]XS = mark(cons(s(X),incr(XS))) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 1 0] [1 1 0] [1 0 0] active(head(cons(X,XS))) = [1 1 0]X + [1 0 0]XS >= [0 1 0]X = mark(X) [0 0 0] [0 0 0] [0 0 0] [1 1 0] [1 0 0] [1] [1 0 0] popout

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actions

all output return to TRS Standard