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TRS Standard pair #487070217
details
property
value
status
complete
benchmark
Ex25_Luc06_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.74744 seconds
cpu usage
6.28859
user time
4.91675
system time
1.37184
max virtual memory
5920460.0
max residence set size
68524.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(f(X)) -> c(n__f(n__g(n__f(X)))) c(X) -> d(activate(X)) h(X) -> c(n__d(X)) f(X) -> n__f(X) g(X) -> n__g(X) d(X) -> n__d(X) activate(n__f(X)) -> f(activate(X)) activate(n__g(X)) -> g(X) activate(n__d(X)) -> d(X) activate(X) -> X Proof: Matrix Interpretation Processor: dim=1 interpretation: [activate](x0) = x0, [g](x0) = x0, [n__f](x0) = 4x0 + 4, [c](x0) = x0, [d](x0) = x0, [f](x0) = 4x0 + 4, [n__d](x0) = x0, [h](x0) = 4x0 + 1, [n__g](x0) = x0 orientation: f(f(X)) = 16X + 20 >= 16X + 20 = c(n__f(n__g(n__f(X)))) c(X) = X >= X = d(activate(X)) h(X) = 4X + 1 >= X = c(n__d(X)) f(X) = 4X + 4 >= 4X + 4 = n__f(X) g(X) = X >= X = n__g(X) d(X) = X >= X = n__d(X) activate(n__f(X)) = 4X + 4 >= 4X + 4 = f(activate(X)) activate(n__g(X)) = X >= X = g(X) activate(n__d(X)) = X >= X = d(X) activate(X) = X >= X = X problem: f(f(X)) -> c(n__f(n__g(n__f(X)))) c(X) -> d(activate(X)) f(X) -> n__f(X) g(X) -> n__g(X) d(X) -> n__d(X) activate(n__f(X)) -> f(activate(X)) activate(n__g(X)) -> g(X) activate(n__d(X)) -> d(X) activate(X) -> X String Reversal Processor: f(f(X)) -> n__f(n__g(n__f(c(X)))) c(X) -> activate(d(X)) f(X) -> n__f(X) g(X) -> n__g(X) d(X) -> n__d(X) n__f(activate(X)) -> activate(f(X)) n__g(activate(X)) -> g(X) n__d(activate(X)) -> d(X) activate(X) -> X Matrix Interpretation Processor: dim=3 interpretation: [0] [activate](x0) = x0 + [1] [0], [1 0 0] [g](x0) = [0 0 0]x0 [0 1 0] , [1 1 0] [0] [n__f](x0) = [0 1 1]x0 + [1] [0 1 1] [0], [1 1 0] [0] [c](x0) = [0 1 1]x0 + [1] [0 1 1] [0], [1 1 0] [d](x0) = [0 0 0]x0 [0 0 1] , [1 1 0] [0] [f](x0) = [0 1 1]x0 + [1]
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