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	n175.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	2.79528 seconds
cpu usage	9.8539
user time	8.19713
system time	1.65677
max virtual memory	5886116.0
max residence set size	93180.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: a__fst(0(),Z) -> nil() a__fst(s(X),cons(Y,Z)) -> cons(mark(Y),fst(X,Z)) a__from(X) -> cons(mark(X),from(s(X))) a__add(0(),X) -> mark(X) a__add(s(X),Y) -> s(add(X,Y)) a__len(nil()) -> 0() a__len(cons(X,Z)) -> s(len(Z)) mark(fst(X1,X2)) -> a__fst(mark(X1),mark(X2)) mark(from(X)) -> a__from(mark(X)) mark(add(X1,X2)) -> a__add(mark(X1),mark(X2)) mark(len(X)) -> a__len(mark(X)) mark(0()) -> 0() mark(s(X)) -> s(X) mark(nil()) -> nil() mark(cons(X1,X2)) -> cons(mark(X1),X2) a__fst(X1,X2) -> fst(X1,X2) a__from(X) -> from(X) a__add(X1,X2) -> add(X1,X2) a__len(X) -> len(X) Proof: WPO Processor: algebra: Max weight function: w0 = 0 w(from) = w(a__from) = 7 w(cons) = 4 w(fst) = w(a__fst) = 2 w(add) = w(a__add) = w(s) = w(nil) = w(0) = 1 w(len) = w(a__len) = w(mark) = 0 status function: st(len) = st(a__len) = [0] st(add) = st(a__add) = [0, 1] st(from) = st(a__from) = [0] st(fst) = [0, 1] st(mark) = [0] st(cons) = [0, 1] st(s) = [0] st(nil) = [] st(a__fst) = [0, 1] st(0) = [] subterm penalty function: sp(from, 0) = sp(a__from, 0) = 6 sp(add, 1) = sp(a__add, 1) = 4 sp(cons, 0) = 1 sp(len, 0) = sp(a__len, 0) = sp(add, 0) = sp(a__add, 0) = sp(fst, 1) = sp( fst, 0) = sp(mark, 0) = sp(cons, 1) = sp(s, 0) = sp(a__fst, 1) = sp( a__fst, 0) = 0 precedence: mark > a__add ~ nil > a__len ~ a__from ~ a__fst > len ~ add ~ from ~ fst ~ cons ~ s ~ 0 problem: Qed popout

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

job log

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actions

all output return to TRS Standard