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TRS Standard pair #516963354
details
property
value
status
complete
benchmark
Ex9_Luc06_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n117.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.624132156372 seconds
cpu usage
1.09524331
max memory
2.18345472E8
stage attributes
key
value
output-size
5912
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: a__f(a(),X,X) -> a__f(X,a__b(),b()) a__b() -> a() mark(f(X1,X2,X3)) -> a__f(X1,mark(X2),X3) mark(b()) -> a__b() mark(a()) -> a() a__f(X1,X2,X3) -> f(X1,X2,X3) a__b() -> b() Proof: Matrix Interpretation Processor: dim=1 interpretation: [f](x0, x1, x2) = 5x0 + x1 + 4x2, [a__f](x0, x1, x2) = 5x0 + x1 + 4x2, [b] = 2, [mark](x0) = x0 + 2, [a] = 2, [a__b] = 2 orientation: a__f(a(),X,X) = 5X + 10 >= 5X + 10 = a__f(X,a__b(),b()) a__b() = 2 >= 2 = a() mark(f(X1,X2,X3)) = 5X1 + X2 + 4X3 + 2 >= 5X1 + X2 + 4X3 + 2 = a__f(X1,mark(X2),X3) mark(b()) = 4 >= 2 = a__b() mark(a()) = 4 >= 2 = a() a__f(X1,X2,X3) = 5X1 + X2 + 4X3 >= 5X1 + X2 + 4X3 = f(X1,X2,X3) a__b() = 2 >= 2 = b() problem: a__f(a(),X,X) -> a__f(X,a__b(),b()) a__b() -> a() mark(f(X1,X2,X3)) -> a__f(X1,mark(X2),X3) a__f(X1,X2,X3) -> f(X1,X2,X3) a__b() -> b() Matrix Interpretation Processor: dim=1 interpretation: [f](x0, x1, x2) = 4x0 + x1 + 5x2, [a__f](x0, x1, x2) = 7x0 + x1 + 6x2, [b] = 0, [mark](x0) = 4x0 + 4, [a] = 1, [a__b] = 7 orientation: a__f(a(),X,X) = 7X + 7 >= 7X + 7 = a__f(X,a__b(),b()) a__b() = 7 >= 1 = a() mark(f(X1,X2,X3)) = 16X1 + 4X2 + 20X3 + 4 >= 7X1 + 4X2 + 6X3 + 4 = a__f(X1,mark(X2),X3) a__f(X1,X2,X3) = 7X1 + X2 + 6X3 >= 4X1 + X2 + 5X3 = f(X1,X2,X3) a__b() = 7 >= 0 = b() problem: a__f(a(),X,X) -> a__f(X,a__b(),b()) mark(f(X1,X2,X3)) -> a__f(X1,mark(X2),X3) a__f(X1,X2,X3) -> f(X1,X2,X3) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [1 0 1] [1 0 0] [0] [f](x0, x1, x2) = [0 1 0]x0 + [0 1 0]x1 + [0 0 0]x2 + [1] [0 0 0] [0 1 0] [0 0 0] [1], [1 0 1] [1 0 1] [1 0 0] [1] [a__f](x0, x1, x2) = [0 1 0]x0 + [0 1 0]x1 + [0 0 0]x2 + [1] [0 1 0] [0 1 0] [0 0 0] [1], [0] [b] = [0] [0], [1 0 1] [1] [mark](x0) = [0 1 0]x0 + [0] [0 1 0] [0], [1]
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