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TRS Relative pair #487081934
details
property
value
status
complete
benchmark
rt3-2.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
Relative_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.1561 seconds
cpu usage
3.57184
user time
2.59709
system time
0.974753
max virtual memory
6306920.0
max residence set size
62792.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: strict: p(0(),y) -> y p(s(x),y) -> s(p(x,y)) weak: p(x,y) -> p(x,s(y)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 0] [2 2] [1] [p](x0, x1) = [2 2]x0 + [0 2]x1 + [0], [0] [0] = [1], [1 0] [s](x0) = [0 0]x0 orientation: [2 2] [1] p(0(),y) = [0 2]y + [2] >= y = y [1 0] [2 2] [1] [1 0] [2 2] [1] p(s(x),y) = [2 0]x + [0 2]y + [0] >= [0 0]x + [0 0]y + [0] = s(p(x,y)) [1 0] [2 2] [1] [1 0] [2 0] [1] p(x,y) = [2 2]x + [0 2]y + [0] >= [2 2]x + [0 0]y + [0] = p(x,s(y)) problem: strict: p(s(x),y) -> s(p(x,y)) weak: p(x,y) -> p(x,s(y)) Matrix Interpretation Processor: dim=2 interpretation: [2 2] [2 0] [p](x0, x1) = [0 2]x0 + [0 0]x1, [0] [s](x0) = x0 + [1] orientation: [2 2] [2 0] [2] [2 2] [2 0] [0] p(s(x),y) = [0 2]x + [0 0]y + [2] >= [0 2]x + [0 0]y + [1] = s(p(x,y)) [2 2] [2 0] [2 2] [2 0] p(x,y) = [0 2]x + [0 0]y >= [0 2]x + [0 0]y = p(x,s(y)) problem: strict: weak: p(x,y) -> p(x,s(y)) Qed
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