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TRS Standard pair #487070397
details
property
value
status
complete
benchmark
Ex15_Luc06_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n180.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.498548 seconds
cpu usage
0.932358
user time
0.678642
system time
0.253716
max virtual memory
96176.0
max residence set size
60448.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(f(f(a()))) -> mark(f(g(f(a())))) mark(f(X)) -> active(f(X)) mark(a()) -> active(a()) mark(g(X)) -> active(g(mark(X))) f(mark(X)) -> f(X) f(active(X)) -> f(X) g(mark(X)) -> g(X) g(active(X)) -> g(X) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 1 0] [mark](x0) = [0 0 0]x0 [0 1 1] , [1 0 0] [0] [f](x0) = [0 0 1]x0 + [0] [0 0 0] [1], [1 1 0] [0] [g](x0) = [0 0 0]x0 + [1] [0 0 0] [0], [0] [a] = [0] [0], [1 1 0] [active](x0) = [0 0 0]x0 [0 0 1] orientation: [1] [0] active(f(f(a()))) = [0] >= [0] = mark(f(g(f(a())))) [1] [1] [1 0 1] [0] [1 0 1] [0] mark(f(X)) = [0 0 0]X + [0] >= [0 0 0]X + [0] = active(f(X)) [0 0 1] [1] [0 0 0] [1] [0] [0] mark(a()) = [0] >= [0] = active(a()) [0] [0] [1 1 0] [1] [1 1 0] [1] mark(g(X)) = [0 0 0]X + [0] >= [0 0 0]X + [0] = active(g(mark(X))) [0 0 0] [1] [0 0 0] [0] [1 1 0] [0] [1 0 0] [0] f(mark(X)) = [0 1 1]X + [0] >= [0 0 1]X + [0] = f(X) [0 0 0] [1] [0 0 0] [1] [1 1 0] [0] [1 0 0] [0] f(active(X)) = [0 0 1]X + [0] >= [0 0 1]X + [0] = f(X) [0 0 0] [1] [0 0 0] [1] [1 1 0] [0] [1 1 0] [0] g(mark(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = g(X) [0 0 0] [0] [0 0 0] [0] [1 1 0] [0] [1 1 0] [0] g(active(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = g(X) [0 0 0] [0] [0 0 0] [0] problem: mark(f(X)) -> active(f(X)) mark(a()) -> active(a()) mark(g(X)) -> active(g(mark(X))) f(mark(X)) -> f(X) f(active(X)) -> f(X) g(mark(X)) -> g(X) g(active(X)) -> g(X) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [0] [mark](x0) = [0 1 0]x0 + [1] [0 0 1] [0], [1 1 0] [0] [f](x0) = [0 0 0]x0 + [0] [0 0 0] [1], [1 0 0] [0] [g](x0) = [0 0 0]x0 + [0] [0 0 1] [1], [0] [a] = [0] [1], [0] [active](x0) = x0 + [1] [0] orientation: [1 1 0] [1] [1 1 0] [0] mark(f(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = active(f(X))
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