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TRS Standard pair #487071497
details
property
value
status
complete
benchmark
Ex15_Luc06_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n187.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.4826 seconds
cpu usage
0.858506
user time
0.558366
system time
0.30014
max virtual memory
96176.0
max residence set size
60536.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(n__f(n__a())) -> f(n__g(n__f(n__a()))) f(X) -> n__f(X) a() -> n__a() g(X) -> n__g(X) activate(n__f(X)) -> f(X) activate(n__a()) -> a() activate(n__g(X)) -> g(activate(X)) activate(X) -> X Proof: Matrix Interpretation Processor: dim=1 interpretation: [a] = 4, [n__f](x0) = 2x0, [n__g](x0) = x0, [g](x0) = x0, [n__a] = 4, [activate](x0) = 2x0, [f](x0) = 2x0 orientation: f(n__f(n__a())) = 16 >= 16 = f(n__g(n__f(n__a()))) f(X) = 2X >= 2X = n__f(X) a() = 4 >= 4 = n__a() g(X) = X >= X = n__g(X) activate(n__f(X)) = 4X >= 2X = f(X) activate(n__a()) = 8 >= 4 = a() activate(n__g(X)) = 2X >= 2X = g(activate(X)) activate(X) = 2X >= X = X problem: f(n__f(n__a())) -> f(n__g(n__f(n__a()))) f(X) -> n__f(X) a() -> n__a() g(X) -> n__g(X) activate(n__f(X)) -> f(X) activate(n__g(X)) -> g(activate(X)) activate(X) -> X Matrix Interpretation Processor: dim=3 interpretation: [1] [a] = [0] [1], [1 0 0] [n__f](x0) = [0 0 1]x0 [0 1 0] , [1 0 0] [0] [n__g](x0) = [1 0 0]x0 + [0] [0 0 1] [1], [1 0 0] [0] [g](x0) = [1 0 0]x0 + [0] [0 0 1] [1], [0] [n__a] = [0] [1], [1 0 1] [activate](x0) = [0 1 1]x0 [0 0 1] , [1 1 0] [f](x0) = [0 1 1]x0 [0 1 0] orientation: [1] [0] f(n__f(n__a())) = [1] >= [1] = f(n__g(n__f(n__a()))) [1] [0] [1 1 0] [1 0 0] f(X) = [0 1 1]X >= [0 0 1]X = n__f(X) [0 1 0] [0 1 0] [1] [0] a() = [0] >= [0] = n__a() [1] [1] [1 0 0] [0] [1 0 0] [0] g(X) = [1 0 0]X + [0] >= [1 0 0]X + [0] = n__g(X) [0 0 1] [1] [0 0 1] [1]
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