details

property	value
status	complete
benchmark	tpa2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n192.star.cs.uiowa.edu
space	Secret_05_TRS

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.83707 seconds
cpu usage	6.02043
user time	4.8695
system time	1.15093
max virtual memory	5315860.0
max residence set size	84216.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) p(s(x)) -> x f(s(x),y) -> f(p(-(s(x),y)),p(-(y,s(x)))) f(x,s(y)) -> f(p(-(x,s(y))),p(-(s(y),x))) Proof: DP Processor: DPs: -#(s(x),s(y)) -> -#(x,y) f#(s(x),y) -> -#(y,s(x)) f#(s(x),y) -> p#(-(y,s(x))) f#(s(x),y) -> -#(s(x),y) f#(s(x),y) -> p#(-(s(x),y)) f#(s(x),y) -> f#(p(-(s(x),y)),p(-(y,s(x)))) f#(x,s(y)) -> -#(s(y),x) f#(x,s(y)) -> p#(-(s(y),x)) f#(x,s(y)) -> -#(x,s(y)) f#(x,s(y)) -> p#(-(x,s(y))) f#(x,s(y)) -> f#(p(-(x,s(y))),p(-(s(y),x))) TRS: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) p(s(x)) -> x f(s(x),y) -> f(p(-(s(x),y)),p(-(y,s(x)))) f(x,s(y)) -> f(p(-(x,s(y))),p(-(s(y),x))) TDG Processor: DPs: -#(s(x),s(y)) -> -#(x,y) f#(s(x),y) -> -#(y,s(x)) f#(s(x),y) -> p#(-(y,s(x))) f#(s(x),y) -> -#(s(x),y) f#(s(x),y) -> p#(-(s(x),y)) f#(s(x),y) -> f#(p(-(s(x),y)),p(-(y,s(x)))) f#(x,s(y)) -> -#(s(y),x) f#(x,s(y)) -> p#(-(s(y),x)) f#(x,s(y)) -> -#(x,s(y)) f#(x,s(y)) -> p#(-(x,s(y))) f#(x,s(y)) -> f#(p(-(x,s(y))),p(-(s(y),x))) TRS: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) p(s(x)) -> x f(s(x),y) -> f(p(-(s(x),y)),p(-(y,s(x)))) f(x,s(y)) -> f(p(-(x,s(y))),p(-(s(y),x))) graph: f#(s(x),y) -> f#(p(-(s(x),y)),p(-(y,s(x)))) -> f#(x,s(y)) -> f#(p(-(x,s(y))),p(-(s(y),x))) f#(s(x),y) -> f#(p(-(s(x),y)),p(-(y,s(x)))) -> f#(x,s(y)) -> p#(-(x,s(y))) f#(s(x),y) -> f#(p(-(s(x),y)),p(-(y,s(x)))) -> f#(x,s(y)) -> -#(x,s(y)) f#(s(x),y) -> f#(p(-(s(x),y)),p(-(y,s(x)))) -> f#(x,s(y)) -> p#(-(s(y),x)) f#(s(x),y) -> f#(p(-(s(x),y)),p(-(y,s(x)))) -> f#(x,s(y)) -> -#(s(y),x) f#(s(x),y) -> f#(p(-(s(x),y)),p(-(y,s(x)))) -> f#(s(x),y) -> f#(p(-(s(x),y)),p(-(y,s(x)))) f#(s(x),y) -> f#(p(-(s(x),y)),p(-(y,s(x)))) -> f#(s(x),y) -> p#(-(s(x),y)) f#(s(x),y) -> f#(p(-(s(x),y)),p(-(y,s(x)))) -> f#(s(x),y) -> -#(s(x),y) f#(s(x),y) -> f#(p(-(s(x),y)),p(-(y,s(x)))) -> f#(s(x),y) -> p#(-(y,s(x))) f#(s(x),y) -> f#(p(-(s(x),y)),p(-(y,s(x)))) -> f#(s(x),y) -> -#(y,s(x)) f#(s(x),y) -> -#(s(x),y) -> -#(s(x),s(y)) -> -#(x,y) f#(s(x),y) -> -#(y,s(x)) -> -#(s(x),s(y)) -> -#(x,y) f#(x,s(y)) -> f#(p(-(x,s(y))),p(-(s(y),x))) -> f#(x,s(y)) -> f#(p(-(x,s(y))),p(-(s(y),x))) f#(x,s(y)) -> f#(p(-(x,s(y))),p(-(s(y),x))) -> f#(x,s(y)) -> p#(-(x,s(y))) f#(x,s(y)) -> f#(p(-(x,s(y))),p(-(s(y),x))) -> f#(x,s(y)) -> -#(x,s(y)) f#(x,s(y)) -> f#(p(-(x,s(y))),p(-(s(y),x))) -> f#(x,s(y)) -> p#(-(s(y),x)) f#(x,s(y)) -> f#(p(-(x,s(y))),p(-(s(y),x))) -> f#(x,s(y)) -> -#(s(y),x) f#(x,s(y)) -> f#(p(-(x,s(y))),p(-(s(y),x))) -> f#(s(x),y) -> f#(p(-(s(x),y)),p(-(y,s(x)))) f#(x,s(y)) -> f#(p(-(x,s(y))),p(-(s(y),x))) -> f#(s(x),y) -> p#(-(s(x),y)) f#(x,s(y)) -> f#(p(-(x,s(y))),p(-(s(y),x))) -> f#(s(x),y) -> -#(s(x),y) f#(x,s(y)) -> f#(p(-(x,s(y))),p(-(s(y),x))) -> f#(s(x),y) -> p#(-(y,s(x))) f#(x,s(y)) -> f#(p(-(x,s(y))),p(-(s(y),x))) -> f#(s(x),y) -> -#(y,s(x)) f#(x,s(y)) -> -#(s(y),x) -> -#(s(x),s(y)) -> -#(x,y) f#(x,s(y)) -> -#(x,s(y)) -> -#(s(x),s(y)) -> -#(x,y) -#(s(x),s(y)) -> -#(x,y) -> -#(s(x),s(y)) -> -#(x,y) SCC Processor: #sccs: 2 #rules: 3 #arcs: 25/121 DPs: f#(s(x),y) -> f#(p(-(s(x),y)),p(-(y,s(x)))) f#(x,s(y)) -> f#(p(-(x,s(y))),p(-(s(y),x))) TRS: popout

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

job log

popout

actions

all output return to TRS Standard