details

property	value
status	complete
benchmark	size-12-alpha-3-num-149.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n145.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	43.0163 seconds
cpu usage	168.47
user time	165.735
system time	2.73503
max virtual memory	1.1246108E7
max residence set size	100452.0

stage attributes

key	value
starexec-result	YES

output

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