details

property	value
status	complete
benchmark	size-12-alpha-3-num-416.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n143.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	48.0236 seconds
cpu usage	187.596
user time	183.831
system time	3.76537
max virtual memory	1.13437E7
max residence set size	132348.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: a(x1) -> b(x1) b(b(c(x1))) -> c(b(c(a(a(x1))))) c(c(x1)) -> x1 Proof: DP Processor: DPs: a#(x1) -> b#(x1) b#(b(c(x1))) -> a#(x1) b#(b(c(x1))) -> a#(a(x1)) b#(b(c(x1))) -> c#(a(a(x1))) b#(b(c(x1))) -> b#(c(a(a(x1)))) b#(b(c(x1))) -> c#(b(c(a(a(x1))))) TRS: a(x1) -> b(x1) b(b(c(x1))) -> c(b(c(a(a(x1))))) c(c(x1)) -> x1 TDG Processor: DPs: a#(x1) -> b#(x1) b#(b(c(x1))) -> a#(x1) b#(b(c(x1))) -> a#(a(x1)) b#(b(c(x1))) -> c#(a(a(x1))) b#(b(c(x1))) -> b#(c(a(a(x1)))) b#(b(c(x1))) -> c#(b(c(a(a(x1))))) TRS: a(x1) -> b(x1) b(b(c(x1))) -> c(b(c(a(a(x1))))) c(c(x1)) -> x1 graph: b#(b(c(x1))) -> b#(c(a(a(x1)))) -> b#(b(c(x1))) -> c#(b(c(a(a(x1))))) b#(b(c(x1))) -> b#(c(a(a(x1)))) -> b#(b(c(x1))) -> b#(c(a(a(x1)))) b#(b(c(x1))) -> b#(c(a(a(x1)))) -> b#(b(c(x1))) -> c#(a(a(x1))) b#(b(c(x1))) -> b#(c(a(a(x1)))) -> b#(b(c(x1))) -> a#(a(x1)) b#(b(c(x1))) -> b#(c(a(a(x1)))) -> b#(b(c(x1))) -> a#(x1) b#(b(c(x1))) -> a#(a(x1)) -> a#(x1) -> b#(x1) b#(b(c(x1))) -> a#(x1) -> a#(x1) -> b#(x1) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> c#(b(c(a(a(x1))))) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> b#(c(a(a(x1)))) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> c#(a(a(x1))) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> a#(a(x1)) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> a#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 12/36 DPs: b#(b(c(x1))) -> b#(c(a(a(x1)))) b#(b(c(x1))) -> a#(x1) a#(x1) -> b#(x1) b#(b(c(x1))) -> a#(a(x1)) TRS: a(x1) -> b(x1) b(b(c(x1))) -> c(b(c(a(a(x1))))) c(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(x1) b(b(c(x1))) -> c(b(c(a(a(x1))))) c(c(x1)) -> x1 interpretation: [b#](x0) = [0 -&]x0 + [0], [-& 0 ] [2] [b](x0) = [0 -&]x0 + [1], [a#](x0) = [0 0]x0 + [3], [-& 0 ] [2] [a](x0) = [0 -&]x0 + [2], [-& 0 ] [0] [c](x0) = [0 1 ]x0 + [3] orientation: b#(b(c(x1))) = [0 1]x1 + [3] >= [-& 0 ]x1 + [2] = b#(c(a(a(x1)))) b#(b(c(x1))) = [0 1]x1 + [3] >= [0 0]x1 + [3] = a#(x1) a#(x1) = [0 0]x1 + [3] >= [0 -&]x1 + [0] = b#(x1) b#(b(c(x1))) = [0 1]x1 + [3] >= [0 0]x1 + [3] = a#(a(x1)) [-& 0 ] [2] [-& 0 ] [2] a(x1) = [0 -&]x1 + [2] >= [0 -&]x1 + [1] = b(x1) [-& 0 ] [2] [-& 0 ] [2] b(b(c(x1))) = [0 1 ]x1 + [3] >= [0 1 ]x1 + [3] = c(b(c(a(a(x1))))) [0 1] [3] c(c(x1)) = [1 2]x1 + [4] >= x1 = x1 problem: DPs: b#(b(c(x1))) -> a#(x1) a#(x1) -> b#(x1) popout

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

job log

popout

actions

all output return to SRS Standard