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TRS Relative pair #487081694
details
property
value
status
complete
benchmark
#3.35_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.75011 seconds
cpu usage
5.92584
user time
4.66681
system time
1.25904
max virtual memory
4958336.0
max residence set size
63480.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: strict: g(s(x)) -> f(x) f(0()) -> s(0()) f(s(x)) -> s(s(g(x))) g(0()) -> 0() weak: rand(x) -> x rand(x) -> rand(s(x)) Proof: Arctic Interpretation Processor: dimension: 1 interpretation: [rand](x0) = 8x0, [g](x0) = x0, [0] = 12, [s](x0) = x0, [f](x0) = x0 orientation: g(s(x)) = x >= x = f(x) f(0()) = 12 >= 12 = s(0()) f(s(x)) = x >= x = s(s(g(x))) g(0()) = 12 >= 12 = 0() rand(x) = 8x >= x = x rand(x) = 8x >= 8x = rand(s(x)) problem: strict: g(s(x)) -> f(x) f(0()) -> s(0()) f(s(x)) -> s(s(g(x))) g(0()) -> 0() weak: rand(x) -> rand(s(x)) Arctic Interpretation Processor: dimension: 1 interpretation: [rand](x0) = 8x0, [g](x0) = 8x0, [0] = 8, [s](x0) = x0, [f](x0) = 8x0 orientation: g(s(x)) = 8x >= 8x = f(x) f(0()) = 16 >= 8 = s(0()) f(s(x)) = 8x >= 8x = s(s(g(x))) g(0()) = 16 >= 8 = 0() rand(x) = 8x >= 8x = rand(s(x)) problem: strict: g(s(x)) -> f(x) f(s(x)) -> s(s(g(x))) weak: rand(x) -> rand(s(x)) Matrix Interpretation Processor: dim=2 interpretation: [2 0] [0] [rand](x0) = [0 0]x0 + [2], [1 1] [2] [g](x0) = [0 1]x0 + [0], [0] [s](x0) = x0 + [1], [1 1] [2] [f](x0) = [0 1]x0 + [1] orientation: [1 1] [3] [1 1] [2] g(s(x)) = [0 1]x + [1] >= [0 1]x + [1] = f(x) [1 1] [3] [1 1] [2] f(s(x)) = [0 1]x + [2] >= [0 1]x + [2] = s(s(g(x))) [2 0] [0] [2 0] [0] rand(x) = [0 0]x + [2] >= [0 0]x + [2] = rand(s(x)) problem: strict: weak:
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