details

property	value
status	complete
benchmark	secret3.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	Secret_07_TRS

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.911824 seconds
cpu usage	2.45801
user time	1.85698
system time	0.601033
max virtual memory	1551212.0
max residence set size	68808.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: app(nil(),k) -> k app(l,nil()) -> l app(cons(x,l),k) -> cons(x,app(l,k)) sum(cons(x,nil())) -> cons(x,nil()) sum(cons(x,cons(y,l))) -> sum(cons(a(x,y,h()),l)) a(h(),h(),x) -> s(x) a(x,s(y),h()) -> a(x,y,s(h())) a(x,s(y),s(z)) -> a(x,y,a(x,s(y),z)) a(s(x),h(),z) -> a(x,z,z) Proof: DP Processor: DPs: app#(cons(x,l),k) -> app#(l,k) sum#(cons(x,cons(y,l))) -> a#(x,y,h()) sum#(cons(x,cons(y,l))) -> sum#(cons(a(x,y,h()),l)) a#(x,s(y),h()) -> a#(x,y,s(h())) a#(x,s(y),s(z)) -> a#(x,s(y),z) a#(x,s(y),s(z)) -> a#(x,y,a(x,s(y),z)) a#(s(x),h(),z) -> a#(x,z,z) TRS: app(nil(),k) -> k app(l,nil()) -> l app(cons(x,l),k) -> cons(x,app(l,k)) sum(cons(x,nil())) -> cons(x,nil()) sum(cons(x,cons(y,l))) -> sum(cons(a(x,y,h()),l)) a(h(),h(),x) -> s(x) a(x,s(y),h()) -> a(x,y,s(h())) a(x,s(y),s(z)) -> a(x,y,a(x,s(y),z)) a(s(x),h(),z) -> a(x,z,z) TDG Processor: DPs: app#(cons(x,l),k) -> app#(l,k) sum#(cons(x,cons(y,l))) -> a#(x,y,h()) sum#(cons(x,cons(y,l))) -> sum#(cons(a(x,y,h()),l)) a#(x,s(y),h()) -> a#(x,y,s(h())) a#(x,s(y),s(z)) -> a#(x,s(y),z) a#(x,s(y),s(z)) -> a#(x,y,a(x,s(y),z)) a#(s(x),h(),z) -> a#(x,z,z) TRS: app(nil(),k) -> k app(l,nil()) -> l app(cons(x,l),k) -> cons(x,app(l,k)) sum(cons(x,nil())) -> cons(x,nil()) sum(cons(x,cons(y,l))) -> sum(cons(a(x,y,h()),l)) a(h(),h(),x) -> s(x) a(x,s(y),h()) -> a(x,y,s(h())) a(x,s(y),s(z)) -> a(x,y,a(x,s(y),z)) a(s(x),h(),z) -> a(x,z,z) graph: a#(s(x),h(),z) -> a#(x,z,z) -> a#(s(x),h(),z) -> a#(x,z,z) a#(s(x),h(),z) -> a#(x,z,z) -> a#(x,s(y),s(z)) -> a#(x,y,a(x,s(y),z)) a#(s(x),h(),z) -> a#(x,z,z) -> a#(x,s(y),s(z)) -> a#(x,s(y),z) a#(s(x),h(),z) -> a#(x,z,z) -> a#(x,s(y),h()) -> a#(x,y,s(h())) a#(x,s(y),s(z)) -> a#(x,s(y),z) -> a#(s(x),h(),z) -> a#(x,z,z) a#(x,s(y),s(z)) -> a#(x,s(y),z) -> a#(x,s(y),s(z)) -> a#(x,y,a(x,s(y),z)) a#(x,s(y),s(z)) -> a#(x,s(y),z) -> a#(x,s(y),s(z)) -> a#(x,s(y),z) a#(x,s(y),s(z)) -> a#(x,s(y),z) -> a#(x,s(y),h()) -> a#(x,y,s(h())) a#(x,s(y),s(z)) -> a#(x,y,a(x,s(y),z)) -> a#(s(x),h(),z) -> a#(x,z,z) a#(x,s(y),s(z)) -> a#(x,y,a(x,s(y),z)) -> a#(x,s(y),s(z)) -> a#(x,y,a(x,s(y),z)) a#(x,s(y),s(z)) -> a#(x,y,a(x,s(y),z)) -> a#(x,s(y),s(z)) -> a#(x,s(y),z) a#(x,s(y),s(z)) -> a#(x,y,a(x,s(y),z)) -> a#(x,s(y),h()) -> a#(x,y,s(h())) a#(x,s(y),h()) -> a#(x,y,s(h())) -> a#(s(x),h(),z) -> a#(x,z,z) a#(x,s(y),h()) -> a#(x,y,s(h())) -> a#(x,s(y),s(z)) -> a#(x,y,a(x,s(y),z)) a#(x,s(y),h()) -> a#(x,y,s(h())) -> a#(x,s(y),s(z)) -> a#(x,s(y),z) a#(x,s(y),h()) -> a#(x,y,s(h())) -> a#(x,s(y),h()) -> a#(x,y,s(h())) sum#(cons(x,cons(y,l))) -> a#(x,y,h()) -> a#(s(x),h(),z) -> a#(x,z,z) sum#(cons(x,cons(y,l))) -> a#(x,y,h()) -> a#(x,s(y),s(z)) -> a#(x,y,a(x,s(y),z)) sum#(cons(x,cons(y,l))) -> a#(x,y,h()) -> a#(x,s(y),s(z)) -> a#(x,s(y),z) sum#(cons(x,cons(y,l))) -> a#(x,y,h()) -> a#(x,s(y),h()) -> a#(x,y,s(h())) sum#(cons(x,cons(y,l))) -> sum#(cons(a(x,y,h()),l)) -> sum#(cons(x,cons(y,l))) -> sum#(cons(a(x,y,h()),l)) sum#(cons(x,cons(y,l))) -> sum#(cons(a(x,y,h()),l)) -> sum#(cons(x,cons(y,l))) -> a#(x,y,h()) app#(cons(x,l),k) -> app#(l,k) -> app#(cons(x,l),k) -> app#(l,k) SCC Processor: #sccs: 3 #rules: 6 #arcs: 23/49 DPs: app#(cons(x,l),k) -> app#(l,k) TRS: popout

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

job log

popout

actions

all output return to TRS Standard