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SRS Relative pair #487081950
details
property
value
status
complete
benchmark
zr09.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
Mixed_relative_SRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.48845 seconds
cpu usage
4.61179
user time
3.64374
system time
0.968042
max virtual memory
5616856.0
max residence set size
63876.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: strict: a(b(x1)) -> b(a(x1)) d(c(x1)) -> d(a(x1)) weak: a(x1) -> b(c(x1)) b(c(x1)) -> a(c(x1)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 0] [a](x0) = [0 0]x0, [2 1] [0] [d](x0) = [0 1]x0 + [1], [1 0] [b](x0) = [0 0]x0, [1 0] [0] [c](x0) = [0 2]x0 + [2] orientation: [1 0] [1 0] a(b(x1)) = [0 0]x1 >= [0 0]x1 = b(a(x1)) [2 2] [2] [2 0] [0] d(c(x1)) = [0 2]x1 + [3] >= [0 0]x1 + [1] = d(a(x1)) [1 0] [1 0] a(x1) = [0 0]x1 >= [0 0]x1 = b(c(x1)) [1 0] [1 0] b(c(x1)) = [0 0]x1 >= [0 0]x1 = a(c(x1)) problem: strict: a(b(x1)) -> b(a(x1)) weak: a(x1) -> b(c(x1)) b(c(x1)) -> a(c(x1)) Matrix Interpretation Processor: dim=2 interpretation: [1 2] [0] [a](x0) = [0 2]x0 + [1], [0] [b](x0) = x0 + [1], [1 0] [c](x0) = [0 0]x0 orientation: [1 2] [2] [1 2] [0] a(b(x1)) = [0 2]x1 + [3] >= [0 2]x1 + [2] = b(a(x1)) [1 2] [0] [1 0] [0] a(x1) = [0 2]x1 + [1] >= [0 0]x1 + [1] = b(c(x1)) [1 0] [0] [1 0] [0] b(c(x1)) = [0 0]x1 + [1] >= [0 0]x1 + [1] = a(c(x1)) problem: strict: weak: a(x1) -> b(c(x1)) b(c(x1)) -> a(c(x1)) Qed
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