details

property	value
status	complete
benchmark	size-12-alpha-3-num-543.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	44.3396 seconds
cpu usage	173.145
user time	169.509
system time	3.63612
max virtual memory	1.184096E7
max residence set size	179316.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: a(b(x1)) -> x1 a(b(c(x1))) -> b(c(b(c(a(a(b(x1))))))) Proof: DP Processor: DPs: a#(b(c(x1))) -> a#(b(x1)) a#(b(c(x1))) -> a#(a(b(x1))) TRS: a(b(x1)) -> x1 a(b(c(x1))) -> b(c(b(c(a(a(b(x1))))))) Arctic Interpretation Processor: dimension: 1 usable rules: a(b(x1)) -> x1 a(b(c(x1))) -> b(c(b(c(a(a(b(x1))))))) interpretation: [a](x0) = 3x0 + 4, [a#](x0) = x0 + 2, [b](x0) = -3x0 + 0, [c](x0) = 3x0 + 7 orientation: a#(b(c(x1))) = x1 + 4 >= -3x1 + 2 = a#(b(x1)) a#(b(c(x1))) = x1 + 4 >= x1 + 4 = a#(a(b(x1))) a(b(x1)) = x1 + 4 >= x1 = x1 a(b(c(x1))) = 3x1 + 7 >= 3x1 + 7 = b(c(b(c(a(a(b(x1))))))) problem: DPs: a#(b(c(x1))) -> a#(a(b(x1))) TRS: a(b(x1)) -> x1 a(b(c(x1))) -> b(c(b(c(a(a(b(x1))))))) Restore Modifier: DPs: a#(b(c(x1))) -> a#(a(b(x1))) TRS: a(b(x1)) -> x1 a(b(c(x1))) -> b(c(b(c(a(a(b(x1))))))) Matrix Interpretation Processor: dim=1 usable rules: a(b(x1)) -> x1 a(b(c(x1))) -> b(c(b(c(a(a(b(x1))))))) interpretation: [a](x0) = 2x0, [a#](x0) = 9/2x0, [b](x0) = 1/2x0, [c](x0) = 2x0 + 1/2 orientation: a#(b(c(x1))) = 9/2x1 + 9/8 >= 9/2x1 = a#(a(b(x1))) a(b(x1)) = x1 >= x1 = x1 a(b(c(x1))) = 2x1 + 1/2 >= 2x1 + 1/2 = b(c(b(c(a(a(b(x1))))))) problem: DPs: TRS: a(b(x1)) -> x1 a(b(c(x1))) -> b(c(b(c(a(a(b(x1))))))) Qed popout

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

job log

popout

actions

all output return to SRS Standard