details

property	value
status	complete
benchmark	tower.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n179.star.cs.uiowa.edu
space	AProVE_06

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	2.45745 seconds
cpu usage	8.41461
user time	6.69865
system time	1.71596
max virtual memory	6077020.0
max residence set size	90816.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: plus(0(),x) -> x plus(s(x),y) -> s(plus(p(s(x)),y)) times(0(),y) -> 0() times(s(x),y) -> plus(y,times(p(s(x)),y)) exp(x,0()) -> s(0()) exp(x,s(y)) -> times(x,exp(x,y)) p(s(0())) -> 0() p(s(s(x))) -> s(p(s(x))) tower(x,y) -> towerIter(x,y,s(0())) towerIter(0(),y,z) -> z towerIter(s(x),y,z) -> towerIter(p(s(x)),y,exp(y,z)) Proof: DP Processor: DPs: plus#(s(x),y) -> p#(s(x)) plus#(s(x),y) -> plus#(p(s(x)),y) times#(s(x),y) -> p#(s(x)) times#(s(x),y) -> times#(p(s(x)),y) times#(s(x),y) -> plus#(y,times(p(s(x)),y)) exp#(x,s(y)) -> exp#(x,y) exp#(x,s(y)) -> times#(x,exp(x,y)) p#(s(s(x))) -> p#(s(x)) tower#(x,y) -> towerIter#(x,y,s(0())) towerIter#(s(x),y,z) -> exp#(y,z) towerIter#(s(x),y,z) -> p#(s(x)) towerIter#(s(x),y,z) -> towerIter#(p(s(x)),y,exp(y,z)) TRS: plus(0(),x) -> x plus(s(x),y) -> s(plus(p(s(x)),y)) times(0(),y) -> 0() times(s(x),y) -> plus(y,times(p(s(x)),y)) exp(x,0()) -> s(0()) exp(x,s(y)) -> times(x,exp(x,y)) p(s(0())) -> 0() p(s(s(x))) -> s(p(s(x))) tower(x,y) -> towerIter(x,y,s(0())) towerIter(0(),y,z) -> z towerIter(s(x),y,z) -> towerIter(p(s(x)),y,exp(y,z)) TDG Processor: DPs: plus#(s(x),y) -> p#(s(x)) plus#(s(x),y) -> plus#(p(s(x)),y) times#(s(x),y) -> p#(s(x)) times#(s(x),y) -> times#(p(s(x)),y) times#(s(x),y) -> plus#(y,times(p(s(x)),y)) exp#(x,s(y)) -> exp#(x,y) exp#(x,s(y)) -> times#(x,exp(x,y)) p#(s(s(x))) -> p#(s(x)) tower#(x,y) -> towerIter#(x,y,s(0())) towerIter#(s(x),y,z) -> exp#(y,z) towerIter#(s(x),y,z) -> p#(s(x)) towerIter#(s(x),y,z) -> towerIter#(p(s(x)),y,exp(y,z)) TRS: plus(0(),x) -> x plus(s(x),y) -> s(plus(p(s(x)),y)) times(0(),y) -> 0() times(s(x),y) -> plus(y,times(p(s(x)),y)) exp(x,0()) -> s(0()) exp(x,s(y)) -> times(x,exp(x,y)) p(s(0())) -> 0() p(s(s(x))) -> s(p(s(x))) tower(x,y) -> towerIter(x,y,s(0())) towerIter(0(),y,z) -> z towerIter(s(x),y,z) -> towerIter(p(s(x)),y,exp(y,z)) graph: towerIter#(s(x),y,z) -> towerIter#(p(s(x)),y,exp(y,z)) -> towerIter#(s(x),y,z) -> towerIter#(p(s(x)),y,exp(y,z)) towerIter#(s(x),y,z) -> towerIter#(p(s(x)),y,exp(y,z)) -> towerIter#(s(x),y,z) -> p#(s(x)) towerIter#(s(x),y,z) -> towerIter#(p(s(x)),y,exp(y,z)) -> towerIter#(s(x),y,z) -> exp#(y,z) towerIter#(s(x),y,z) -> exp#(y,z) -> exp#(x,s(y)) -> times#(x,exp(x,y)) towerIter#(s(x),y,z) -> exp#(y,z) -> exp#(x,s(y)) -> exp#(x,y) towerIter#(s(x),y,z) -> p#(s(x)) -> p#(s(s(x))) -> p#(s(x)) tower#(x,y) -> towerIter#(x,y,s(0())) -> towerIter#(s(x),y,z) -> towerIter#(p(s(x)),y,exp(y,z)) tower#(x,y) -> towerIter#(x,y,s(0())) -> towerIter#(s(x),y,z) -> p#(s(x)) tower#(x,y) -> towerIter#(x,y,s(0())) -> towerIter#(s(x),y,z) -> exp#(y,z) exp#(x,s(y)) -> exp#(x,y) -> exp#(x,s(y)) -> times#(x,exp(x,y)) exp#(x,s(y)) -> exp#(x,y) -> exp#(x,s(y)) -> exp#(x,y) exp#(x,s(y)) -> times#(x,exp(x,y)) -> times#(s(x),y) -> plus#(y,times(p(s(x)),y)) exp#(x,s(y)) -> times#(x,exp(x,y)) -> times#(s(x),y) -> times#(p(s(x)),y) exp#(x,s(y)) -> times#(x,exp(x,y)) -> times#(s(x),y) -> p#(s(x)) times#(s(x),y) -> times#(p(s(x)),y) -> times#(s(x),y) -> plus#(y,times(p(s(x)),y)) times#(s(x),y) -> times#(p(s(x)),y) -> times#(s(x),y) -> times#(p(s(x)),y) times#(s(x),y) -> times#(p(s(x)),y) -> times#(s(x),y) -> p#(s(x)) times#(s(x),y) -> p#(s(x)) -> popout

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

job log

popout

actions

all output return to TRS Standard