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TRS Relat 75837 pair #381724928
details
property
value
status
complete
benchmark
rt3-5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
3.38633489609 seconds
cpu usage
12.348597239
max memory
1.53524224E9
stage attributes
key
value
output-size
1410
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: strict: f(g(f(x))) -> f(g(g(g(f(x))))) weak: g(x) -> g(g(x)) g(x) -> g(g(f(g(g(x))))) f(x) -> g(g(f(g(g(x))))) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [g](x0) = [0 0 1]x0 [0 0 0] , [1 2 0] [0] [f](x0) = [0 1 2]x0 + [2] [2 1 0] [2] orientation: [5 4 0] [4] [1 2 0] [0] f(g(f(x))) = [2 1 0]x + [4] >= [0 0 0]x + [2] = f(g(g(g(f(x))))) [4 5 0] [4] [2 4 0] [2] [1 0 0] [1 0 0] g(x) = [0 0 1]x >= [0 0 0]x = g(g(x)) [0 0 0] [0 0 0] [1 0 0] [1 0 0] g(x) = [0 0 1]x >= [0 0 0]x = g(g(f(g(g(x))))) [0 0 0] [0 0 0] [1 2 0] [0] [1 0 0] f(x) = [0 1 2]x + [2] >= [0 0 0]x = g(g(f(g(g(x))))) [2 1 0] [2] [0 0 0] problem: strict: weak: g(x) -> g(g(x)) g(x) -> g(g(f(g(g(x))))) f(x) -> g(g(f(g(g(x))))) Qed
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