details

property	value
status	complete
benchmark	size-12-alpha-3-num-204.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	43.6267 seconds
cpu usage	170.234
user time	167.001
system time	3.2329
max virtual memory	1.0763836E7
max residence set size	102040.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: a(x1) -> x1 a(b(x1)) -> b(b(a(c(x1)))) b(b(x1)) -> a(x1) c(c(x1)) -> x1 Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(b(x1)) -> a(x1) c(c(x1)) -> x1 DP Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> c#(a(b(b(x1)))) b#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(b(x1)) -> a(x1) c(c(x1)) -> x1 TDG Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> c#(a(b(b(x1)))) b#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(b(x1)) -> a(x1) c(c(x1)) -> x1 graph: b#(a(x1)) -> b#(b(x1)) -> b#(b(x1)) -> a#(x1) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(a(b(b(x1)))) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(x1) -> b#(b(x1)) -> a#(x1) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(b(x1)))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 10/25 DPs: b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(b(x1)) -> a(x1) c(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(b(x1)) -> a(x1) c(c(x1)) -> x1 interpretation: [b#](x0) = [3 3]x0 + [0], [0 2] [3] [b](x0) = [0 1]x0 + [2], [0 1] [0] [a](x0) = [1 2]x0 + [3], [-& 0 ] [0] [c](x0) = [0 -&]x0 + [0] orientation: b#(a(x1)) = [4 5]x1 + [6] >= [3 5]x1 + [6] = b#(b(x1)) b#(a(x1)) = [4 5]x1 + [6] >= [3 3]x1 + [0] = b#(x1) [0 1] [0] a(x1) = [1 2]x1 + [3] >= x1 = x1 [3 4] [5] [3 4] [5] b(a(x1)) = [2 3]x1 + [4] >= [2 3]x1 + [4] = c(a(b(b(x1)))) [2 3] [4] [0 1] [0] b(b(x1)) = [1 2]x1 + [3] >= [1 2]x1 + [3] = a(x1) [0] c(c(x1)) = x1 + [0] >= x1 = x1 problem: DPs: b#(a(x1)) -> b#(b(x1)) TRS: a(x1) -> x1 popout

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

job log

popout

actions

all output return to SRS Standard