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TRS Standard pair #487070127
details
property
value
status
complete
benchmark
Ex15_Luc06_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.399064 seconds
cpu usage
0.567443
user time
0.430042
system time
0.137401
max virtual memory
96176.0
max residence set size
57380.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a__f(f(a())) -> a__f(g(f(a()))) mark(f(X)) -> a__f(X) mark(a()) -> a() mark(g(X)) -> g(mark(X)) a__f(X) -> f(X) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [1] [mark](x0) = [0 0 0]x0 + [1] [0 0 0] [1], [1 1 1] [0] [f](x0) = [0 0 0]x0 + [1] [0 0 0] [0], [1 0 0] [g](x0) = [0 0 0]x0 [0 0 1] , [0] [a] = [0] [0], [1 1 1] [0] [a__f](x0) = [0 0 0]x0 + [1] [0 0 0] [0] orientation: [1] [0] a__f(f(a())) = [1] >= [1] = a__f(g(f(a()))) [0] [0] [1 1 1] [1] [1 1 1] [0] mark(f(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = a__f(X) [0 0 0] [1] [0 0 0] [0] [1] [0] mark(a()) = [1] >= [0] = a() [1] [0] [1 0 1] [1] [1 0 1] [1] mark(g(X)) = [0 0 0]X + [1] >= [0 0 0]X + [0] = g(mark(X)) [0 0 0] [1] [0 0 0] [1] [1 1 1] [0] [1 1 1] [0] a__f(X) = [0 0 0]X + [1] >= [0 0 0]X + [1] = f(X) [0 0 0] [0] [0 0 0] [0] problem: mark(g(X)) -> g(mark(X)) a__f(X) -> f(X) Matrix Interpretation Processor: dim=3 interpretation: [1 1 0] [mark](x0) = [0 1 0]x0 [0 1 0] , [1 0 0] [f](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [0] [g](x0) = [0 1 0]x0 + [1] [0 1 0] [0], [1 0 0] [a__f](x0) = [0 0 0]x0 [0 0 0] orientation: [1 1 0] [1] [1 1 0] [0] mark(g(X)) = [0 1 0]X + [1] >= [0 1 0]X + [1] = g(mark(X)) [0 1 0] [1] [0 1 0] [0] [1 0 0] [1 0 0] a__f(X) = [0 0 0]X >= [0 0 0]X = f(X) [0 0 0] [0 0 0] problem: a__f(X) -> f(X) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [f](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [1] [a__f](x0) = [0 0 0]x0 + [0] [0 0 1] [0] orientation: [1 0 0] [1] [1 0 0] a__f(X) = [0 0 0]X + [0] >= [0 0 0]X = f(X) [0 0 1] [0] [0 0 0] problem: Qed
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