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TRS Relative pair #487081880
details
property
value
status
complete
benchmark
rtL-wl1nz.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
2.09181 seconds
cpu usage
7.19953
user time
5.88262
system time
1.31692
max virtual memory
7002600.0
max residence set size
68384.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: strict: top(ok(new(x))) -> top(check(x)) top(ok(old(x))) -> top(check(x)) weak: bot() -> new(bot()) check(new(x)) -> new(check(x)) check(old(x)) -> old(check(x)) check(old(x)) -> ok(old(x)) new(ok(x)) -> ok(new(x)) old(ok(x)) -> ok(old(x)) Proof: Arctic Interpretation Processor: dimension: 1 interpretation: [old](x0) = 10x0, [ok](x0) = x0, [check](x0) = x0, [bot] = 0, [new](x0) = x0, [top](x0) = x0 orientation: top(ok(new(x))) = x >= x = top(check(x)) top(ok(old(x))) = 10x >= x = top(check(x)) bot() = 0 >= 0 = new(bot()) check(new(x)) = x >= x = new(check(x)) check(old(x)) = 10x >= 10x = old(check(x)) check(old(x)) = 10x >= 10x = ok(old(x)) new(ok(x)) = x >= x = ok(new(x)) old(ok(x)) = 10x >= 10x = ok(old(x)) problem: strict: top(ok(new(x))) -> top(check(x)) weak: bot() -> new(bot()) check(new(x)) -> new(check(x)) check(old(x)) -> old(check(x)) check(old(x)) -> ok(old(x)) new(ok(x)) -> ok(new(x)) old(ok(x)) -> ok(old(x)) Matrix Interpretation Processor: dim=2 interpretation: [2 0] [2] [old](x0) = [0 1]x0 + [0], [0] [ok](x0) = x0 + [2], [1 0] [check](x0) = [1 1]x0, [0] [bot] = [0], [1 0] [new](x0) = [1 1]x0, [2 1] [0] [top](x0) = [0 0]x0 + [2] orientation: [3 1] [2] [3 1] [0] top(ok(new(x))) = [0 0]x + [2] >= [0 0]x + [2] = top(check(x)) [0] [0] bot() = [0] >= [0] = new(bot()) [1 0] [1 0] check(new(x)) = [2 1]x >= [2 1]x = new(check(x)) [2 0] [2] [2 0] [2] check(old(x)) = [2 1]x + [2] >= [1 1]x + [0] = old(check(x)) [2 0] [2] [2 0] [2] check(old(x)) = [2 1]x + [2] >= [0 1]x + [2] = ok(old(x)) [1 0] [0] [1 0] [0] new(ok(x)) = [1 1]x + [2] >= [1 1]x + [2] = ok(new(x)) [2 0] [2] [2 0] [2] old(ok(x)) = [0 1]x + [2] >= [0 1]x + [2] = ok(old(x)) problem: strict: weak:
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