details

property	value
status	complete
benchmark	Ex1_2_AEL03_iGM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n074.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	59.6877 seconds
cpu usage	199.423
user time	187.332
system time	12.0904
max virtual memory	7046764.0
max residence set size	414252.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: active(from(X)) -> mark(cons(X,from(s(X)))) active(2ndspos(0(),Z)) -> mark(rnil()) active(2ndspos(s(N),cons(X,cons(Y,Z)))) -> mark(rcons(posrecip(Y),2ndsneg(N,Z))) active(2ndsneg(0(),Z)) -> mark(rnil()) active(2ndsneg(s(N),cons(X,cons(Y,Z)))) -> mark(rcons(negrecip(Y),2ndspos(N,Z))) active(pi(X)) -> mark(2ndspos(X,from(0()))) active(plus(0(),Y)) -> mark(Y) active(plus(s(X),Y)) -> mark(s(plus(X,Y))) active(times(0(),Y)) -> mark(0()) active(times(s(X),Y)) -> mark(plus(Y,times(X,Y))) active(square(X)) -> mark(times(X,X)) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(2ndspos(X1,X2)) -> active(2ndspos(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(rnil()) -> active(rnil()) mark(rcons(X1,X2)) -> active(rcons(mark(X1),mark(X2))) mark(posrecip(X)) -> active(posrecip(mark(X))) mark(2ndsneg(X1,X2)) -> active(2ndsneg(mark(X1),mark(X2))) mark(negrecip(X)) -> active(negrecip(mark(X))) mark(pi(X)) -> active(pi(mark(X))) mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2))) mark(times(X1,X2)) -> active(times(mark(X1),mark(X2))) mark(square(X)) -> active(square(mark(X))) from(mark(X)) -> from(X) from(active(X)) -> from(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) s(mark(X)) -> s(X) s(active(X)) -> s(X) 2ndspos(mark(X1),X2) -> 2ndspos(X1,X2) 2ndspos(X1,mark(X2)) -> 2ndspos(X1,X2) 2ndspos(active(X1),X2) -> 2ndspos(X1,X2) 2ndspos(X1,active(X2)) -> 2ndspos(X1,X2) rcons(mark(X1),X2) -> rcons(X1,X2) rcons(X1,mark(X2)) -> rcons(X1,X2) rcons(active(X1),X2) -> rcons(X1,X2) rcons(X1,active(X2)) -> rcons(X1,X2) posrecip(mark(X)) -> posrecip(X) posrecip(active(X)) -> posrecip(X) 2ndsneg(mark(X1),X2) -> 2ndsneg(X1,X2) 2ndsneg(X1,mark(X2)) -> 2ndsneg(X1,X2) 2ndsneg(active(X1),X2) -> 2ndsneg(X1,X2) 2ndsneg(X1,active(X2)) -> 2ndsneg(X1,X2) negrecip(mark(X)) -> negrecip(X) negrecip(active(X)) -> negrecip(X) pi(mark(X)) -> pi(X) pi(active(X)) -> pi(X) plus(mark(X1),X2) -> plus(X1,X2) plus(X1,mark(X2)) -> plus(X1,X2) plus(active(X1),X2) -> plus(X1,X2) plus(X1,active(X2)) -> plus(X1,X2) times(mark(X1),X2) -> times(X1,X2) times(X1,mark(X2)) -> times(X1,X2) times(active(X1),X2) -> times(X1,X2) times(X1,active(X2)) -> times(X1,X2) square(mark(X)) -> square(X) square(active(X)) -> square(X) Proof: DP Processor: DPs: active#(from(X)) -> s#(X) active#(from(X)) -> from#(s(X)) active#(from(X)) -> cons#(X,from(s(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) active#(2ndspos(0(),Z)) -> mark#(rnil()) active#(2ndspos(s(N),cons(X,cons(Y,Z)))) -> 2ndsneg#(N,Z) active#(2ndspos(s(N),cons(X,cons(Y,Z)))) -> posrecip#(Y) active#(2ndspos(s(N),cons(X,cons(Y,Z)))) -> rcons#(posrecip(Y),2ndsneg(N,Z)) active#(2ndspos(s(N),cons(X,cons(Y,Z)))) -> mark#(rcons(posrecip(Y),2ndsneg(N,Z))) active#(2ndsneg(0(),Z)) -> mark#(rnil()) active#(2ndsneg(s(N),cons(X,cons(Y,Z)))) -> 2ndspos#(N,Z) active#(2ndsneg(s(N),cons(X,cons(Y,Z)))) -> negrecip#(Y) active#(2ndsneg(s(N),cons(X,cons(Y,Z)))) -> rcons#(negrecip(Y),2ndspos(N,Z)) active#(2ndsneg(s(N),cons(X,cons(Y,Z)))) -> mark#(rcons(negrecip(Y),2ndspos(N,Z))) active#(pi(X)) -> from#(0()) active#(pi(X)) -> 2ndspos#(X,from(0())) active#(pi(X)) -> mark#(2ndspos(X,from(0()))) active#(plus(0(),Y)) -> mark#(Y) active#(plus(s(X),Y)) -> plus#(X,Y) active#(plus(s(X),Y)) -> s#(plus(X,Y)) active#(plus(s(X),Y)) -> mark#(s(plus(X,Y))) active#(times(0(),Y)) -> mark#(0()) active#(times(s(X),Y)) -> times#(X,Y) active#(times(s(X),Y)) -> plus#(Y,times(X,Y)) active#(times(s(X),Y)) -> mark#(plus(Y,times(X,Y))) active#(square(X)) -> times#(X,X) active#(square(X)) -> mark#(times(X,X)) mark#(from(X)) -> mark#(X) mark#(from(X)) -> from#(mark(X)) mark#(from(X)) -> active#(from(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) popout

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

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actions

all output return to TRS Standard