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TRS Standard pair #487070712
details
property
value
status
complete
benchmark
Ex18_Luc06_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n186.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.395555 seconds
cpu usage
0.563885
user time
0.41904
system time
0.144845
max virtual memory
96176.0
max residence set size
57184.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(f(a())) -> f(g(n__f(n__a()))) f(X) -> n__f(X) a() -> n__a() activate(n__f(X)) -> f(activate(X)) activate(n__a()) -> a() activate(X) -> X Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [g](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [f](x0) = [0 0 1]x0 [0 1 0] , [1 0 0] [n__f](x0) = [0 0 1]x0 [0 1 0] , [1 1 1] [1] [activate](x0) = [0 1 0]x0 + [1] [0 0 1] [1], [1] [a] = [0] [0], [0] [n__a] = [0] [0] orientation: [1] [0] f(f(a())) = [0] >= [0] = f(g(n__f(n__a()))) [0] [0] [1 0 0] [1 0 0] f(X) = [0 0 1]X >= [0 0 1]X = n__f(X) [0 1 0] [0 1 0] [1] [0] a() = [0] >= [0] = n__a() [0] [0] [1 1 1] [1] [1 1 1] [1] activate(n__f(X)) = [0 0 1]X + [1] >= [0 0 1]X + [1] = f(activate(X)) [0 1 0] [1] [0 1 0] [1] [1] [1] activate(n__a()) = [1] >= [0] = a() [1] [0] [1 1 1] [1] activate(X) = [0 1 0]X + [1] >= X = X [0 0 1] [1] problem: f(X) -> n__f(X) activate(n__f(X)) -> f(activate(X)) activate(n__a()) -> a() Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1] [f](x0) = [0 1 1]x0 + [0] [0 0 0] [1], [1 0 0] [0] [n__f](x0) = [0 1 1]x0 + [0] [0 0 0] [1], [1 1 1] [0] [activate](x0) = [1 1 0]x0 + [1] [0 0 1] [0], [0] [a] = [0] [0], [0] [n__a] = [0] [1] orientation: [1 0 0] [1] [1 0 0] [0] f(X) = [0 1 1]X + [0] >= [0 1 1]X + [0] = n__f(X) [0 0 0] [1] [0 0 0] [1] [1 1 1] [1] [1 1 1] [1] activate(n__f(X)) = [1 1 1]X + [1] >= [1 1 1]X + [1] = f(activate(X)) [0 0 0] [1] [0 0 0] [1] [1] [0] activate(n__a()) = [1] >= [0] = a() [1] [0] problem:
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