details

property	value
status	complete
benchmark	size-12-alpha-2-num-3.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	42.9187 seconds
cpu usage	169.12
user time	166.181
system time	2.93887
max virtual memory	1.107034E7
max residence set size	131424.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: a(a(x1)) -> x1 a(b(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) Proof: DP Processor: DPs: b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> a#(b(a(b(b(x1))))) TRS: a(a(x1)) -> x1 a(b(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) TDG Processor: DPs: b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> a#(b(a(b(b(x1))))) TRS: a(a(x1)) -> x1 a(b(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) graph: b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> a#(b(a(b(b(x1))))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> a#(b(a(b(b(x1))))) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> a#(b(a(b(b(x1))))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 15/25 DPs: b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(a(b(b(x1)))) TRS: a(a(x1)) -> x1 a(b(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) Arctic Interpretation Processor: dimension: 2 usable rules: a(a(x1)) -> x1 a(b(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) interpretation: [-& 0 ] [0] [b](x0) = [0 -&]x0 + [1], [b#](x0) = [0 -&]x0 + [0], [-& 0 ] [0] [a](x0) = [0 1 ]x0 + [3] orientation: b#(b(a(x1))) = [0 1]x1 + [3] >= [-& 0 ]x1 + [0] = b#(b(x1)) b#(b(a(x1))) = [0 1]x1 + [3] >= [0 -&]x1 + [0] = b#(x1) b#(b(a(x1))) = [0 1]x1 + [3] >= [-& 0 ]x1 + [1] = b#(a(b(b(x1)))) [0 1] [3] a(a(x1)) = [1 2]x1 + [4] >= x1 = x1 [0 -&] [1] a(b(x1)) = [1 0 ]x1 + [3] >= x1 = x1 [-& 0 ] [1] [-& 0 ] [1] b(b(a(x1))) = [0 1 ]x1 + [3] >= [0 1 ]x1 + [3] = a(b(a(b(b(x1))))) problem: DPs: b#(b(a(x1))) -> b#(x1) TRS: a(a(x1)) -> x1 a(b(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) Restore Modifier: DPs: b#(b(a(x1))) -> b#(x1) TRS: popout

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

job log

popout

actions

all output return to SRS Standard