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TRS Stand 20472 pair #381716454
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
n046.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.466424942017 seconds
cpu usage
0.690890347
max memory
1.05074688E8
stage attributes
key
value
output-size
2200
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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=1 interpretation: [activate](x0) = 4x0 + 2, [g](x0) = x0 + 4, [n__f](x0) = 2x0 + 1, [n__a] = 2, [f](x0) = 2x0 + 1, [a] = 4 orientation: f(f(a())) = 19 >= 19 = f(g(n__f(n__a()))) f(X) = 2X + 1 >= 2X + 1 = n__f(X) a() = 4 >= 2 = n__a() activate(n__f(X)) = 8X + 6 >= 8X + 5 = f(activate(X)) activate(n__a()) = 10 >= 4 = a() activate(X) = 4X + 2 >= X = X problem: f(f(a())) -> f(g(n__f(n__a()))) f(X) -> n__f(X) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [g](x0) = [0 0 0]x0 [0 0 0] , [1 0 1] [0] [n__f](x0) = [0 0 0]x0 + [0] [0 0 0] [1], [0] [n__a] = [0] [0], [1 0 1] [0] [f](x0) = [0 0 0]x0 + [1] [0 0 0] [1], [0] [a] = [0] [0] orientation: [1] [0] f(f(a())) = [1] >= [1] = f(g(n__f(n__a()))) [1] [1] [1 0 1] [0] [1 0 1] [0] f(X) = [0 0 0]X + [1] >= [0 0 0]X + [0] = n__f(X) [0 0 0] [1] [0 0 0] [1] problem: f(X) -> n__f(X) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [n__f](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [1] [f](x0) = [0 0 0]x0 + [0] [0 0 1] [0] orientation: [1 0 0] [1] [1 0 0] f(X) = [0 0 0]X + [0] >= [0 0 0]X = n__f(X) [0 0 1] [0] [0 0 0] problem: Qed
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