details

property	value
status	complete
benchmark	size-12-alpha-3-num-293.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)	47.7763 seconds
cpu usage	187.062
user time	181.918
system time	5.14375
max virtual memory	1.1135896E7
max residence set size	131860.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: a(x1) -> x1 a(b(b(x1))) -> b(b(a(b(c(x1))))) b(c(x1)) -> a(x1) Proof: String Reversal Processor: a(x1) -> x1 b(b(a(x1))) -> c(b(a(b(b(x1))))) c(b(x1)) -> a(x1) DP Processor: DPs: b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> c#(b(a(b(b(x1))))) c#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 b(b(a(x1))) -> c(b(a(b(b(x1))))) c(b(x1)) -> a(x1) TDG Processor: DPs: b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> c#(b(a(b(b(x1))))) c#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 b(b(a(x1))) -> c(b(a(b(b(x1))))) c(b(x1)) -> a(x1) graph: b#(b(a(x1))) -> c#(b(a(b(b(x1))))) -> c#(b(x1)) -> a#(x1) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> c#(b(a(b(b(x1))))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> c#(b(a(b(b(x1))))) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> c#(b(a(b(b(x1))))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 16/36 DPs: b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(a(b(b(x1)))) TRS: a(x1) -> x1 b(b(a(x1))) -> c(b(a(b(b(x1))))) c(b(x1)) -> a(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(b(a(x1))) -> c(b(a(b(b(x1))))) c(b(x1)) -> a(x1) interpretation: [b#](x0) = [0 0]x0 + [0], [0 1] [0 ] [b](x0) = [0 0]x0 + [-&], [0 0] [0] [a](x0) = [0 0]x0 + [1], [-& 0 ] [0] [c](x0) = [-& 0 ]x0 + [1] orientation: b#(b(a(x1))) = [1 1]x1 + [2] >= [0 1]x1 + [0] = b#(b(x1)) b#(b(a(x1))) = [1 1]x1 + [2] >= [0 0]x1 + [0] = b#(x1) b#(b(a(x1))) = [1 1]x1 + [2] >= [1 1]x1 + [1] = b#(a(b(b(x1)))) [0 0] [0] a(x1) = [0 0]x1 + [1] >= x1 = x1 [1 1] [2] [1 1] [1] b(b(a(x1))) = [1 1]x1 + [2] >= [1 1]x1 + [1] = c(b(a(b(b(x1))))) [0 0] [0] [0 0] [0] c(b(x1)) = [0 0]x1 + [1] >= [0 0]x1 + [1] = a(x1) problem: popout

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

job log

popout

actions

all output return to SRS Standard