details

property	value
status	complete
benchmark	size-12-alpha-3-num-221.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n150.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	42.4484 seconds
cpu usage	166.388
user time	163.669
system time	2.7194
max virtual memory	1.1826484E7
max residence set size	101932.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: a(x1) -> x1 a(b(x1)) -> b(b(c(a(x1)))) b(b(x1)) -> a(x1) c(c(x1)) -> x1 Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> a(c(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)) -> c#(b(b(x1))) b#(a(x1)) -> a#(c(b(b(x1)))) b#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 b(a(x1)) -> a(c(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)) -> c#(b(b(x1))) b#(a(x1)) -> a#(c(b(b(x1)))) b#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 b(a(x1)) -> a(c(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)) -> a#(c(b(b(x1)))) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(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)) -> a#(c(b(b(x1)))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(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)) -> a(c(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)) -> a(c(b(b(x1)))) b(b(x1)) -> a(x1) c(c(x1)) -> x1 interpretation: [b#](x0) = [1 1]x0 + [0], [1 0] [0 ] [b](x0) = [0 0]x0 + [-&], [2 1] [1 ] [a](x0) = [0 0]x0 + [-&], [-& 0 ] [0] [c](x0) = [0 1 ]x0 + [0] orientation: b#(a(x1)) = [3 2]x1 + [2] >= [2 1]x1 + [1] = b#(b(x1)) b#(a(x1)) = [3 2]x1 + [2] >= [1 1]x1 + [0] = b#(x1) [2 1] [1 ] a(x1) = [0 0]x1 + [-&] >= x1 = x1 [3 2] [2] [3 2] [2] b(a(x1)) = [2 1]x1 + [1] >= [2 1]x1 + [1] = a(c(b(b(x1)))) [2 1] [1] [2 1] [1 ] b(b(x1)) = [1 0]x1 + [0] >= [0 0]x1 + [-&] = a(x1) [0 1] [0] c(c(x1)) = [1 2]x1 + [1] >= x1 = x1 problem: DPs: TRS: a(x1) -> x1 popout

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

job log

popout

actions

all output return to SRS Standard