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TRS Standard pair #516967189
details
property
value
status
complete
benchmark
#3.54.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n168.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.498459815979 seconds
cpu usage
0.696148877
max memory
1.46161664E8
stage attributes
key
value
output-size
1971
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: f(g(x)) -> g(f(f(x))) f(h(x)) -> h(g(x)) f'(s(x),y,y) -> f'(y,x,s(x)) Proof: Matrix Interpretation Processor: dim=1 interpretation: [f'](x0, x1, x2) = 6x0 + 5x1 + 4x2, [f](x0) = x0, [s](x0) = 3x0 + 3, [g](x0) = x0, [h](x0) = x0 orientation: f(g(x)) = x >= x = g(f(f(x))) f(h(x)) = x >= x = h(g(x)) f'(s(x),y,y) = 18x + 9y + 18 >= 17x + 6y + 12 = f'(y,x,s(x)) problem: f(g(x)) -> g(f(f(x))) f(h(x)) -> h(g(x)) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [f](x0) = [0 0 1]x0 [0 1 0] , [1 0 0] [0] [g](x0) = [0 1 1]x0 + [1] [0 1 1] [1], [1 0 0] [h](x0) = [0 0 0]x0 [0 0 0] orientation: [1 1 1] [1] [1 1 1] [0] f(g(x)) = [0 1 1]x + [1] >= [0 1 1]x + [1] = g(f(f(x))) [0 1 1] [1] [0 1 1] [1] [1 0 0] [1 0 0] f(h(x)) = [0 0 0]x >= [0 0 0]x = h(g(x)) [0 0 0] [0 0 0] problem: f(h(x)) -> h(g(x)) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1] [f](x0) = [0 0 0]x0 + [0] [0 0 0] [1], [1 0 0] [0] [g](x0) = [0 0 0]x0 + [0] [0 0 0] [1], [1 0 0] [h](x0) = [0 0 0]x0 [0 0 1] orientation: [1 0 0] [1] [1 0 0] [0] f(h(x)) = [0 0 0]x + [0] >= [0 0 0]x + [0] = h(g(x)) [0 0 0] [1] [0 0 0] [1] problem: Qed
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