details

property	value
status	complete
benchmark	Ex18_Luc06_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n026.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.543051958084 seconds
cpu usage	0.690273764
max memory	1.37678848E8

stage attributes

key	value
output-size	3279
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: a__f(f(a())) -> a__f(g(f(a()))) mark(f(X)) -> a__f(mark(X)) mark(a()) -> a() mark(g(X)) -> g(X) a__f(X) -> f(X) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [mark](x0) = [0 1 0]x0 [0 1 0] , [1 1 0] [0] [f](x0) = [0 0 0]x0 + [1] [0 0 0] [1], [1 0 0] [g](x0) = [1 0 0]x0 [0 0 0] , [0] [a] = [0] [0], [1 1 0] [0] [a__f](x0) = [0 0 0]x0 + [1] [0 0 0] [1] orientation: [1] [0] a__f(f(a())) = [1] >= [1] = a__f(g(f(a()))) [1] [1] [1 1 0] [0] [1 1 0] [0] mark(f(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = a__f(mark(X)) [0 0 0] [1] [0 0 0] [1] [0] [0] mark(a()) = [0] >= [0] = a() [0] [0] [1 0 0] [1 0 0] mark(g(X)) = [1 0 0]X >= [1 0 0]X = g(X) [1 0 0] [0 0 0] [1 1 0] [0] [1 1 0] [0] a__f(X) = [0 0 0]X + [1] >= [0 0 0]X + [1] = f(X) [0 0 0] [1] [0 0 0] [1] problem: mark(f(X)) -> a__f(mark(X)) mark(a()) -> a() mark(g(X)) -> g(X) a__f(X) -> f(X) Matrix Interpretation Processor: dim=1 interpretation: [mark](x0) = 5x0 + 4, [f](x0) = x0, [g](x0) = 2x0, [a] = 4, [a__f](x0) = x0 orientation: mark(f(X)) = 5X + 4 >= 5X + 4 = a__f(mark(X)) mark(a()) = 24 >= 4 = a() mark(g(X)) = 10X + 4 >= 2X = g(X) a__f(X) = X >= X = f(X) problem: mark(f(X)) -> a__f(mark(X)) a__f(X) -> f(X) Matrix Interpretation Processor: dim=3 interpretation: [1 1 0] [0] [mark](x0) = [1 1 0]x0 + [0] [0 0 0] [1], [0] [f](x0) = x0 + [1] [0], [0] [a__f](x0) = x0 + [1] [0] popout

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all output return to TRS Standard