details

property	value
status	complete
benchmark	size-12-alpha-3-num-190.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)	42.7554 seconds
cpu usage	167.434
user time	164.672
system time	2.76248
max virtual memory	1.1444764E7
max residence set size	100772.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: a(x1) -> x1 a(b(x1)) -> b(b(a(a(c(x1))))) b(x1) -> x1 c(a(c(x1))) -> x1 Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> c(a(a(b(b(x1))))) b(x1) -> x1 c(a(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)) -> a#(a(b(b(x1)))) b#(a(x1)) -> c#(a(a(b(b(x1))))) TRS: a(x1) -> x1 b(a(x1)) -> c(a(a(b(b(x1))))) b(x1) -> x1 c(a(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)) -> a#(a(b(b(x1)))) b#(a(x1)) -> c#(a(a(b(b(x1))))) TRS: a(x1) -> x1 b(a(x1)) -> c(a(a(b(b(x1))))) b(x1) -> x1 c(a(c(x1))) -> x1 graph: b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(a(a(b(b(x1))))) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(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#(a(x1)) -> c#(a(a(b(b(x1))))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(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(a(b(b(x1))))) b(x1) -> x1 c(a(c(x1))) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> c(a(a(b(b(x1))))) b(x1) -> x1 c(a(c(x1))) -> x1 interpretation: [b#](x0) = [1 0]x0, [0 -&] [0] [b](x0) = [1 0 ]x0 + [3], [1 0] [3] [a](x0) = [0 0]x0 + [0], [-& 0 ] [0 ] [c](x0) = [0 1 ]x0 + [-&] orientation: b#(a(x1)) = [2 1]x1 + [4] >= [1 0]x1 + [3] = b#(b(x1)) b#(a(x1)) = [2 1]x1 + [4] >= [1 0]x1 = b#(x1) [1 0] [3] a(x1) = [0 0]x1 + [0] >= x1 = x1 [1 0] [3] [1 0] [3] b(a(x1)) = [2 1]x1 + [4] >= [2 1]x1 + [4] = c(a(a(b(b(x1))))) [0 -&] [0] b(x1) = [1 0 ]x1 + [3] >= x1 = x1 [0 1] [0] c(a(c(x1))) = [1 2]x1 + [3] >= 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