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TRS Relative pair #487081928
details
property
value
status
complete
benchmark
rt1-4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.994818 seconds
cpu usage
2.93764
user time
2.32126
system time
0.616382
max virtual memory
6309224.0
max residence set size
63036.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: strict: f(el(x),y) -> f(x,el(y)) weak: f(x,y) -> f(l(x),y) f(x,y) -> f(x,r(y)) l(el(x)) -> el(l(x)) el(r(x)) -> r(el(x)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [2 1] [1 0] [0] [f](x0, x1) = [0 0]x0 + [0 0]x1 + [2], [r](x0) = x0, [1 0] [0] [el](x0) = [0 2]x0 + [1], [l](x0) = x0 orientation: [2 2] [1 0] [1] [2 1] [1 0] [0] f(el(x),y) = [0 0]x + [0 0]y + [2] >= [0 0]x + [0 0]y + [2] = f(x,el(y)) [2 1] [1 0] [0] [2 1] [1 0] [0] f(x,y) = [0 0]x + [0 0]y + [2] >= [0 0]x + [0 0]y + [2] = f(l(x),y) [2 1] [1 0] [0] [2 1] [1 0] [0] f(x,y) = [0 0]x + [0 0]y + [2] >= [0 0]x + [0 0]y + [2] = f(x,r(y)) [1 0] [0] [1 0] [0] l(el(x)) = [0 2]x + [1] >= [0 2]x + [1] = el(l(x)) [1 0] [0] [1 0] [0] el(r(x)) = [0 2]x + [1] >= [0 2]x + [1] = r(el(x)) problem: strict: weak: f(x,y) -> f(l(x),y) f(x,y) -> f(x,r(y)) l(el(x)) -> el(l(x)) el(r(x)) -> r(el(x)) Qed
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