details

property	value
status	complete
benchmark	Ex26_Luc03b_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n071.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	12.5896 seconds
cpu usage	38.6141
user time	36.2663
system time	2.34772
max virtual memory	2407696.0
max residence set size	438672.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: active(terms(N)) -> mark(cons(recip(sqr(N)),terms(s(N)))) active(sqr(0())) -> mark(0()) active(sqr(s(X))) -> mark(s(add(sqr(X),dbl(X)))) active(dbl(0())) -> mark(0()) active(dbl(s(X))) -> mark(s(s(dbl(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(first(0(),X)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(terms(X)) -> terms(active(X)) active(cons(X1,X2)) -> cons(active(X1),X2) active(recip(X)) -> recip(active(X)) active(sqr(X)) -> sqr(active(X)) active(add(X1,X2)) -> add(active(X1),X2) active(add(X1,X2)) -> add(X1,active(X2)) active(dbl(X)) -> dbl(active(X)) active(first(X1,X2)) -> first(active(X1),X2) active(first(X1,X2)) -> first(X1,active(X2)) terms(mark(X)) -> mark(terms(X)) cons(mark(X1),X2) -> mark(cons(X1,X2)) recip(mark(X)) -> mark(recip(X)) sqr(mark(X)) -> mark(sqr(X)) add(mark(X1),X2) -> mark(add(X1,X2)) add(X1,mark(X2)) -> mark(add(X1,X2)) dbl(mark(X)) -> mark(dbl(X)) first(mark(X1),X2) -> mark(first(X1,X2)) first(X1,mark(X2)) -> mark(first(X1,X2)) proper(terms(X)) -> terms(proper(X)) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(recip(X)) -> recip(proper(X)) proper(sqr(X)) -> sqr(proper(X)) proper(s(X)) -> s(proper(X)) proper(0()) -> ok(0()) proper(add(X1,X2)) -> add(proper(X1),proper(X2)) proper(dbl(X)) -> dbl(proper(X)) proper(first(X1,X2)) -> first(proper(X1),proper(X2)) proper(nil()) -> ok(nil()) terms(ok(X)) -> ok(terms(X)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) recip(ok(X)) -> ok(recip(X)) sqr(ok(X)) -> ok(sqr(X)) s(ok(X)) -> ok(s(X)) add(ok(X1),ok(X2)) -> ok(add(X1,X2)) dbl(ok(X)) -> ok(dbl(X)) first(ok(X1),ok(X2)) -> ok(first(X1,X2)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 0] [s](x0) = [0 0]x0, [0] [dbl](x0) = x0 + [1], [2 0] [active](x0) = [0 1]x0, [recip](x0) = x0, [2 0] [1 0] [cons](x0, x1) = [0 2]x0 + [0 0]x1, [2 0] [0] [first](x0, x1) = [0 2]x0 + x1 + [1], [2 0] [0] [terms](x0) = [0 2]x0 + [3], [0] [0] = [0], [1 2] [0] [top](x0) = [0 0]x0 + [1], [proper](x0) = x0, [0] [nil] = [0], [0] [add](x0, x1) = x0 + x1 + [1], [2 0] [ok](x0) = [0 1]x0, [0] [mark](x0) = x0 + [1], [0] [sqr](x0) = x0 + [1] orientation: popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS Standard